) be the first derivative of -2*m**5/15 + 82*m**4/3 + 1676*m**3/9 + 1180*m**2/3 + 338*m - 5180. Let d(h) = 0. What is h?
-3, -1, 169
Let u(f) be the first derivative of 52*f**3/3 - 1064*f**2 - 164*f - 2493. Factor u(x).
4*(x - 41)*(13*x + 1)
Suppose n + n = -d + 13, d + 22 = 5*n. Let i be -2 + -3 + (-168)/(-24). Factor -5*f**5 + 123 - 123 - n*f**i + 5*f**3 + 5*f**4.
-5*f**2*(f - 1)**2*(f + 1)
Let c(t) be the first derivative of t**5/15 - 397*t**4/3 + 315218*t**3/3 - 125141546*t**2/3 + 24840596881*t/3 + 1448. Suppose c(r) = 0. Calculate r.
397
Let i(w) = 26*w**2 - 168*w - 187. Let r(b) = 125 - 18*b**2 + 54*b + 89*b + 49*b - 80*b. Let s(u) = 5*i(u) + 7*r(u). Factor s(p).
4*(p - 15)*(p + 1)
Let y(q) be the second derivative of -1/22*q**4 + 3 + 0*q**3 + 1/110*q**5 + 7*q + 4/11*q**2. Determine h so that y(h) = 0.
-1, 2
Let x = 968537/5 + -193707. Factor x*m**2 - 98/5*m + 0.
2*m*(m - 49)/5
Suppose -4*r = -20, p + r = -p + 11. What is i in -4*i**3 - 4*i + p*i**2 + 7*i + 3*i + i**3 = 0?
-1, 0, 2
Let a(k) be the first derivative of 39 - 1/11*k**2 + 0*k - 2/33*k**3. Factor a(o).
-2*o*(o + 1)/11
Let i(u) be the third derivative of -u**6/30 + 31*u**5/5 - 515*u**4/6 - 406*u**3 - 370*u**2 + 5*u. Let i(f) = 0. What is f?
-1, 7, 87
Let l = 548 + -694. Let j = l - -442/3. Factor 0*s + 0*s**2 - j*s**3 + 2*s**4 - 2/3*s**5 + 0.
-2*s**3*(s - 2)*(s - 1)/3
Let c(s) = 1923*s + 3849. Let i be c(-2). Suppose 2/5*u**i - 38/5*u - 4 - 16/5*u**2 = 0. Calculate u.
-1, 10
Determine p so that -24*p**2 - 600*p**4 + 2*p**3 - 14*p**3 - 4*p**3 + 598*p**4 = 0.
-6, -2, 0
Let d(i) = -i - 2. Let r(f) be the third derivative of f**5/15 + 209*f**4/24 - 33*f**3 + 2*f**2 - 35. Let s(c) = -5*d(c) - r(c). Factor s(m).
-4*(m - 1)*(m + 52)
Let b be -4 + 89/1513*3417/6. Find d, given that -1/4*d**5 - 6*d**4 - b*d**3 - 169/4*d + 78*d**2 + 0 = 0.
-13, 0, 1
Solve 95/4 - 5/4*m**2 + 45/2*m = 0.
-1, 19
Suppose -54 = -35*f + 51. Suppose -4*r + z = -544, -r = f*r - 2*z - 548. Suppose -r*t**2 - 144*t - 48 - 9/2*t**4 - 87/2*t**3 = 0. Calculate t.
-4, -1, -2/3
Let x(q) = 9*q**5 + 129*q**4 - 2307*q**3 - 5993*q**2 + 89993*q + 7. Let m(l) = -l**5 + 7*l**4 - l**3 + l**2 - l + 1. Let k(w) = 7*m(w) - x(w). Solve k(i) = 0.
-10, 0, 15/2
Let g(y) be the first derivative of y**5/80 - 5*y**4/32 - 19*y**2/2 + 62. Let q(h) be the second derivative of g(h). Factor q(k).
3*k*(k - 5)/4
Let c(j) = -68*j**3 + 3892*j**2 - 7815*j + 3916. Let b(z) = -95*z**3 + 5839*z**2 - 11722*z + 5873. Let u(f) = -5*b(f) + 7*c(f). Factor u(s).
-(s - 1)**2*(s + 1953)
Factor -3/5*t**2 - 1968/5*t + 0.
-3*t*(t + 656)/5
Suppose 1888*w - 1761*w**3 - 1380*w**4 + 203*w**2 - 640 + 104*w**2 - 535*w**3 - 3*w**2 - 216*w**5 = 0. What is w?
-10/3, -2, 4/9, 1/2
Let h(v) be the first derivative of -v**5/5 - 5*v**4/4 + 14*v**3/3 + 18*v**2 - 72*v + 3492. Let h(a) = 0. Calculate a.
-6, -3, 2
Factor 2/11*u**2 + 6013512/11 - 6936/11*u.
2*(u - 1734)**2/11
Suppose 5*l + 76 = -2*d, -4*l + 573 - 627 = 5*d. What is t in 14 - 20*t + 50/7*t**d = 0?
7/5
Suppose -4*h = -x - 36, -75*x + 74*x - 63 = -7*h. Let 9/2 + x*s - 1/2*s**2 = 0. Calculate s.
-3, 3
Let w be (1 - 3) + -8*(-65)/250 - (-7150)/4375. Let w*z**2 - 2/7*z**3 + 30/7*z + 16/7 = 0. What is z?
-1, 8
Determine n, given that -266/11*n + 1764/11 + 2/11*n**2 = 0.
7, 126
Find u such that -658/3*u - 68/3*u**2 + 2/3*u**3 - 196 = 0.
-7, -1, 42
Suppose 10*b + 10*b = 7840. Factor -3*s**5 + 6*s - 6*s**2 - 10*s**3 + 5*s**5 - b*s**4 + 2*s + 398*s**4.
2*s*(s - 1)**2*(s + 1)*(s + 4)
Let p(n) be the second derivative of n**6/5 + 279*n**5/20 + 54*n**4 - 179*n**3/2 - 198*n**2 - 128*n + 1. Find g, given that p(g) = 0.
-44, -3, -1/2, 1
Let c be (4/6*1)/(36/279) + -5. Let y(d) be the third derivative of 0 + c*d**5 - 1/300*d**6 + 0*d + 48/5*d**3 - 45*d**2 - 14/5*d**4. Let y(p) = 0. What is p?
1, 12
Let u(v) be the third derivative of -28*v**2 + 0 + 1/420*v**7 + 0*v - 1/12*v**4 + 7/3*v**3 - 1/60*v**6 - 7/40*v**5. What is q in u(q) = 0?
-2, 1, 7
Let o(h) be the first derivative of -61/32*h**4 - 67 + 7/40*h**5 + 29/8*h**3 + 25/4*h + 205/16*h**2. Find x, given that o(x) = 0.
-1, -2/7, 5
Let i(w) = -4*w - 14. Let u = -74 + 68. Let s be i(u). Factor 25*y**2 + s + 60*y + 55*y - 60*y.
5*(y + 2)*(5*y + 1)
Let o(f) be the second derivative of -f**6/120 + f**5/40 + 49*f**4/48 - f**3/12 - 6*f**2 - 97*f. What is u in o(u) = 0?
-6, -1, 1, 8
Let o(t) be the second derivative of 3*t**5/80 + 297*t**4/16 + 22491*t**3/8 + 194481*t**2/8 - t - 1076. Determine h so that o(h) = 0.
-147, -3
Let i(l) = l**2 + 2*l + 2. Let d = -548 - -549. Let j(h) = 9*h**2 + 26*h + 26. Let v(w) = d*j(w) - 5*i(w). Let v(b) = 0. Calculate b.
-2
Let x(o) be the first derivative of o**7/560 - o**6/240 - 3*o**5/20 - 74*o**3/3 + 81. Let j(v) be the third derivative of x(v). Suppose j(t) = 0. What is t?
-3, 0, 4
Factor 37/6*f**2 + 1/6*f**3 + 850/3 + 220/3*f.
(f + 10)**2*(f + 17)/6
Let o(l) be the second derivative of 2/3*l**3 + 3*l - 31/26*l**4 + 0*l**2 + 7/130*l**5 - 1. Factor o(p).
2*p*(p - 13)*(7*p - 2)/13
Let c(j) be the first derivative of -j**6/630 - j**5/6 - 17*j**4/21 - j**3 - j**2/2 - 44. Let h(a) be the third derivative of c(a). Factor h(b).
-4*(b + 1)*(b + 34)/7
Factor -97*j**3 + 0*j + 0 + 0*j**2 + 1/5*j**4.
j**3*(j - 485)/5
Let o(g) be the first derivative of 507/4*g**2 + 13/2*g**3 + 2197/2*g + 1/8*g**4 - 11. Factor o(y).
(y + 13)**3/2
Let g(a) be the third derivative of a**8/896 - a**7/112 - a**6/20 + 7*a**5/20 + 3*a**4/4 - 9*a**3 - 2316*a**2. Let g(c) = 0. What is c?
-3, -2, 2, 6
Let q be 6/(0 + -6)*(-2 + 0/(-1)). Suppose -1 - 5 = -3*t. Factor -4 + 57*o**q + 51*o + 0 - t.
3*(o + 1)*(19*o - 2)
Factor 7/6*g**2 - 1/6*g**3 - 7/6 + 1/6*g.
-(g - 7)*(g - 1)*(g + 1)/6
Let t(y) be the third derivative of 0*y**3 + 0 + 25*y + 225/2*y**5 - 45/4*y**6 - 2*y**2 + 3/7*y**7 + 0*y**4 - 1/168*y**8. Find m, given that t(m) = 0.
0, 15
Suppose 0 = 6734*w - 6758*w + 72. Factor 0 + 38/3*s + 131/3*s**2 - 7/3*s**w.
-s*(s - 19)*(7*s + 2)/3
Let i(b) be the first derivative of -200*b**6 - 136*b**5 + 485*b**4/4 - 40*b**3/3 - 5*b**2/2 - 3066. Find u such that i(u) = 0.
-1, -1/15, 0, 1/4
Let o(y) be the first derivative of 57 - 68/5*y**2 + 2/15*y**3 + 2312/5*y. Find b, given that o(b) = 0.
34
Let p be (10/(-9))/(2210/(-7956)). Determine a, given that -2/3*a**3 + 0 + 2/9*a**5 + 10/9*a**2 - 2/9*a**p - 4/9*a = 0.
-2, 0, 1
Let i be (-48 - -44) + 12 + 11/(44/(-24)). Let z = 1/2139 + 38491/23529. Let -32/11 - 112/11*x**i - 64/11*x**3 - z*x**4 - 2/11*x**5 - 96/11*x = 0. What is x?
-2, -1
Let b(a) be the first derivative of -4/9*a**3 - 1/18*a**4 + 4*a - 18 - a**2. Let y(p) be the first derivative of b(p). Factor y(h).
-2*(h + 1)*(h + 3)/3
Let u(h) be the third derivative of h**8/588 - 32*h**7/735 + 26*h**6/105 - 16*h**5/35 + 173*h**2. Factor u(m).
4*m**2*(m - 12)*(m - 2)**2/7
Let i(z) = -19*z + 268. Let v be i(13). Suppose -32*g - v = -39*g. Suppose 1 + 2*r**2 + 0*r**g - 1/3*r**4 + 8/3*r = 0. What is r?
-1, 3
Let u(b) be the first derivative of b**6/2 + 144*b**5/5 + 465*b**4 + 1010*b**3 - 1863*b**2/2 - 3174*b + 894. Suppose u(o) = 0. What is o?
-23, -2, -1, 1
Let k = 1/329 - -93754/3619. Let f = -844/33 + k. Determine a so that 2/3 - f*a**4 - a - 1/3*a**2 + a**3 = 0.
-1, 1, 2
Factor 3*i**2 + 49*i + 1797*i + 20165 - 5*i**2 - 90*i - 405607.
-2*(i - 439)**2
Let x(t) = 2971*t**2 - 29708*t - 18. Let z be x(10). Determine q so that 1/3*q**z + 1225/3 - 70/3*q = 0.
35
Let n(w) = 18*w**2 + 5*w - 10. Let p(r) = 2*r**2 + r + 11 - 31 + 35*r**2 + 9*r. Let t(v) = -7*n(v) + 3*p(v). Solve t(f) = 0.
-1, 2/3
Let y = -252277 - -252279. Factor -26/3*i + 44/3 + 2/3*i**y.
2*(i - 11)*(i - 2)/3
Let 8*j**2 - 5*j**3 + 1/2*j**4 + 0 + 0*j = 0. What is j?
0, 2, 8
Let v be 1/2*(5 + 20/5 - -309) - -10. Factor -1/4*f**2 - v - 13*f.
-(f + 26)**2/4
Let t be 0 + (1*-57 - 0). Let r = 59 + t. Suppose -5*h**r + 6*h**2 - 20 + 20*h - 6*h**2 = 0. Calculate h.
2
Let k(s) = -10. Let z(q) = -4*q**2 + 660*q + 4896. Let v(r) = -8*k(r) - z(r). Solve v(u) = 0 for u.
-7, 172
Let s(r) = 4*r**2 - r + 1. Let t(k) = -2331*k**3 - 5449*k**2 - 1598*k - 10. Let p(h) = -2*s(h) + t(h). Solve p(m) = 0 for m.
-2, -1/3, -2/259
Let v(i) be the second derivative of i**6/135 - i**5/18 + i**4/9 + 4*i**3/27 - 8*i**2/9 - i - 175. Factor v(r).
2*(r - 2)**3*(r + 1)/9
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