a**2 + 9*a**5 - 156*a**4 + 14*a - 22*a**3 - 7*a**5 + g*a**5 = 0.
0, 1/3, 1, 7
Let m(n) be the third derivative of 0*n + 2/7*n**3 - 1/168*n**4 + 36 - 1/420*n**5 + n**2. Suppose m(d) = 0. Calculate d.
-4, 3
Let m(u) be the third derivative of u**7/210 - 17*u**6/40 + 12*u**5 - 72*u**4 - 706*u**2. Factor m(s).
s*(s - 24)**2*(s - 3)
Factor -752/3 + 3132/5*j + 2/3*j**2.
2*(j + 940)*(5*j - 2)/15
Let x(w) = 83*w - 107. Let k be x(19). Let z be ((-3)/7)/((-84)/k). Suppose 3/4 - 15/4*l - 15/2*l**3 - 3/4*l**5 + 15/4*l**4 + z*l**2 = 0. What is l?
1
Solve v**2 - 2*v**5 + 267*v**4 - 103*v - 35*v + 413*v - 140*v + 4*v**5 - 405*v**3 = 0.
-135, -1/2, 0, 1
Let h be (-4)/(32/6)*(-26 + 22). What is y in -189*y**h - 25*y**4 + 60*y**4 + 149*y**3 - 20*y**2 + 25*y**5 = 0?
-2, -2/5, 0, 1
Let s(m) be the second derivative of -m**5/120 - 13*m**4/18 + m**3/36 + 13*m**2/3 - 1767*m. Let s(g) = 0. Calculate g.
-52, -1, 1
Suppose 0 = -5*s - 5 + 15. What is p in 2*p**5 - 13*p**5 - p**5 + 21*p**4 + 18*p**3 - 21*p**s - 6*p = 0?
-1, -1/4, 0, 1, 2
Let f(v) be the second derivative of 14*v**7/9 - 854*v**6/45 + 1387*v**5/15 - 2089*v**4/9 + 2960*v**3/9 - 800*v**2/3 + 7*v - 3. Factor f(h).
4*(h - 1)**3*(7*h - 20)**2/3
Suppose 44/17*o**4 + 6/17*o**3 + 0 - 8*o**2 + 88/17*o - 2/17*o**5 = 0. What is o?
-2, 0, 1, 22
Suppose -7*f + 12*f + 15 = 0. Let d be (966/72)/(-23)*8/f. Determine x, given that 4/3*x**5 + 2/9*x**2 + 0 + 0*x**3 + 0*x - d*x**4 = 0.
-1/3, 0, 1/2, 1
Find q, given that -345*q - 1471 + 57*q**2 - 1534 + 3680 - 3*q**3 = 0.
5, 9
Suppose 6*q - 3*q = 4*g - 444, 2*g + 2*q - 208 = 0. Factor 10*j**3 + 10*j**2 - g*j**4 + 2*j**2 + 110*j**4.
2*j**2*(j + 2)*(j + 3)
Let s(a) = -20*a**4 + 16*a**3 + 92*a**2 - 152*a - 224. Let i(c) = 22*c**4 - 16*c**3 - 90*c**2 + 154*c + 224. Let t(u) = -8*i(u) - 9*s(u). Solve t(r) = 0.
-4, -1, 2, 7
Solve 56304/5*a + 819/5*a**2 + 55488/5 + 3/5*a**3 = 0 for a.
-136, -1
Suppose 1184 = 13*w - 3704. Let h = w - 1874/5. What is j in 0*j + 3/5*j**3 - 6/5*j**2 + 0 + h*j**4 - 3/5*j**5 = 0?
-1, 0, 1, 2
Determine l, given that -6906*l + 4*l**2 + 13260*l - 6842*l = 0.
0, 122
Let b(x) = 10*x**2 + 39*x - 963. Let q(z) = 5*z**2 + 19*z - 478. Let o(r) = -6*b(r) + 11*q(r). Factor o(k).
-5*(k - 8)*(k + 13)
Let i(m) = 0*m**3 + 3*m**3 - 24*m**2 + 9*m**3. Let l(b) = 4*b**3 + 2*b**2 + 8*b**3 - 8*b**3 - 10*b**2. Let o(a) = 5*i(a) - 16*l(a). Factor o(q).
-4*q**2*(q - 2)
Let a(j) be the first derivative of -j**4/15 + 14*j**3/15 + 16*j**2/5 - 40*j - 76. Let c(y) be the first derivative of a(y). Factor c(s).
-4*(s - 8)*(s + 1)/5
Suppose -8*f + 21 = -3. Factor p**f - 2*p**3 + 0*p**3 + 44*p**2 - 45*p**2.
-p**2*(p + 1)
Let n(g) = 15*g**2 + 78*g + 1872. Let r(k) = -k**2 - 6*k - 144. Let c(i) = 2*n(i) + 27*r(i). Find s such that c(s) = 0.
-6, 8
Let d(q) be the third derivative of -13*q**7/840 + 193*q**6/480 - 77*q**5/120 - 15*q**4/4 + 189*q**2 - q + 1. Find u, given that d(u) = 0.
-1, 0, 2, 180/13
Let h(j) = 30*j**2 - 32. Let g(t) be the second derivative of -13*t**4/12 + 8*t**2 + 59*t. Let u(k) = -7*g(k) - 3*h(k). Let u(a) = 0. What is a?
-4, 4
Determine z, given that 0 - 144*z**2 + 648*z - 22*z**3 - 2/3*z**4 = 0.
-18, 0, 3
Let t = -6073/3 + 12157/6. Factor -1 + t*l - 1/6*l**3 - 2/3*l**2.
-(l - 1)**2*(l + 6)/6
Suppose 0 = -131*o + 83*o + 144. Let k(r) be the second derivative of 0 + 28*r + 0*r**4 - 1/20*r**5 + 0*r**2 + 1/6*r**o. Let k(y) = 0. Calculate y.
-1, 0, 1
Factor 1/3*y**2 + 152 + 82/3*y.
(y + 6)*(y + 76)/3
Let r(o) be the third derivative of o**8/1008 + 2*o**7/315 + o**6/360 - o**5/30 + 1590*o**2. Solve r(z) = 0.
-3, -2, 0, 1
Let -53*i - 304*i - 4*i**2 - 47*i**2 + 54*i**2 + 702 = 0. What is i?
2, 117
Solve -147*q**2 + 4*q**4 + 8*q**4 - 54 + 237*q - 96*q**2 + 51*q**3 - 3*q**4 + 0*q**4 = 0 for q.
-9, 1/3, 1, 2
Let v(z) be the first derivative of -6/7*z + 33 - 1/7*z**3 - 9/14*z**2. Suppose v(d) = 0. Calculate d.
-2, -1
Let c(d) be the first derivative of d**7/42 - d**6/15 - d**5/20 + d**4/6 + 74*d + 50. Let h(v) be the first derivative of c(v). Factor h(t).
t**2*(t - 2)*(t - 1)*(t + 1)
Let w(i) = -i**3 - 3*i**2 - 2*i + 2. Let m be w(-2). Let x(v) = -347*v + 31924. Let a be x(92). Factor 0 + 2/9*d**4 + a*d + 0*d**m - 2/9*d**5 + 4/9*d**3.
-2*d**3*(d - 2)*(d + 1)/9
Let j(b) = b**2 - 12*b + 31. Let t be j(9). Factor -5*k**5 + 4*k**t - 13*k**4 + 4*k**4.
-5*k**4*(k + 1)
Let k(t) = -3*t**2 + t. Let h be -9 - (-11)/((-88)/(-32)). Let f(z) = -13*z**2 + 233*z + 6498. Let x(o) = h*k(o) + f(o). Let x(d) = 0. Calculate d.
-57
Factor -14/5*y**2 - 948/5*y + 272/5.
-2*(y + 68)*(7*y - 2)/5
Factor -182408/5 + 1208/5*g - 2/5*g**2.
-2*(g - 302)**2/5
Let j(t) be the first derivative of 15*t**4/4 - 332*t**3 + 16731*t**2/2 - 6534*t - 2030. Find w, given that j(w) = 0.
2/5, 33
Let x(r) be the third derivative of r**5/15 + 11*r**4/108 - 56*r**2. Solve x(j) = 0 for j.
-11/18, 0
Let r(v) be the first derivative of 211 + 0*v - 2/15*v**3 + 2/25*v**5 - 1/6*v**4 + 4/45*v**6 + 1/15*v**2. Suppose r(p) = 0. Calculate p.
-1, 0, 1/4, 1
Let s(u) be the first derivative of 3*u**4/4 + 10*u**3 + 27*u**2/2 - 328. Factor s(r).
3*r*(r + 1)*(r + 9)
Let k(b) be the second derivative of b**6/48 - b**5/8 - 15*b**4/16 - 25*b**3/12 - 11*b**2/2 + 2*b. Let w(n) be the first derivative of k(n). Factor w(r).
5*(r - 5)*(r + 1)**2/2
Let t be (5 - -1) + (-162344)/546. Let d = 875/3 + t. Factor -d*j**2 - 256/3 + 32/3*j.
-(j - 16)**2/3
Suppose -1019*h - 1199*h - 235*h + 4648 = -129*h. Determine w so that 10*w - 100/9 + 2/9*w**3 - 8/3*w**h = 0.
2, 5
Let 0 - 1/5*p**4 - 3/5*p**2 + 0*p - 4/5*p**3 = 0. Calculate p.
-3, -1, 0
Let d(p) be the third derivative of 1/42*p**7 - 35*p**2 + 0*p**4 + 0*p**3 + 0*p**5 + 0 + 7/24*p**6 + 0*p. Factor d(l).
5*l**3*(l + 7)
Let o(g) be the third derivative of -13*g**5/450 + 2*g**4/15 + 2560*g**2. Suppose o(i) = 0. What is i?
0, 24/13
Let q be 3390/1130*((-4)/(-10) + 38/30). Let d(b) be the first derivative of 5 + 0*b - 7/15*b**3 + 7/25*b**q + 1/10*b**4 - 1/5*b**2. Factor d(i).
i*(i - 1)*(i + 1)*(7*i + 2)/5
Let c = 190609 + -190604. Suppose 152 + 23 = 4*u - 3*j, -155 = -4*u - j. Solve 176/7*s - 248/7*s**2 - 76/7*s**3 - 32/7 + u*s**4 - 100/7*s**c = 0 for s.
-1, 2/5, 1, 2
Let g be (152/(-247))/(-3 + 4 + -3). Find t such that -g*t - 2/13 - 2/13*t**2 = 0.
-1
Suppose -17*f + 8*f - 37*f + 28*f**2 - f**3 - 78 + 2*f**2 - f**3 = 0. Calculate f.
-1, 3, 13
Let r(p) = p**2 + 2632*p - 2633. Let v(m) = 10*m**2 + 31585*m - 31595. Let o(n) = 35*r(n) - 3*v(n). Let o(z) = 0. Calculate z.
1, 526
Let c(i) be the third derivative of -i**9/1008 + i**8/70 - 2*i**7/35 - 43*i**3/6 - 3*i**2. Let z(q) be the first derivative of c(q). Factor z(a).
-3*a**3*(a - 4)**2
Let v(n) be the third derivative of 55/6*n**3 - 75/8*n**4 + 1/3*n**5 - 7*n**2 + n + 0. Suppose v(u) = 0. Calculate u.
1/4, 11
Let g(a) be the third derivative of -480*a**3 - 264*a**2 + 0 + 1/24*a**6 + 130*a**4 - 49/12*a**5 + 0*a. Factor g(k).
5*(k - 24)**2*(k - 1)
Suppose 6*h - 12 = -3*a, 13 = a - h + 12. What is l in 28/5*l - 98/5 - 2/5*l**a = 0?
7
Let d be 8/(-36) + 170/(-36)*44. Let n be (d/(-40) - 2) + 1*-3. Find z such that n*z**2 + 24/5*z + 144/5 = 0.
-12
Let i(b) = -1 + 7 + 1 + 7*b - 8*b. Let f be i(3). Find t, given that -15 - f*t**3 + 4*t + 15*t**2 - 4*t - t**3 + 5*t = 0.
-1, 1, 3
Suppose 14*v = 22*v. Let u(f) be the first derivative of 4/5*f**5 + 0*f**4 + 0*f + v*f**2 + 8 - 16/3*f**3. Let u(p) = 0. Calculate p.
-2, 0, 2
Let v(o) be the second derivative of 5*o**4/4 + 1090*o**3/3 + 1440*o**2 - 14*o + 354. Factor v(g).
5*(g + 144)*(3*g + 4)
Suppose -33 = -46*p + 35*p. Let o(q) be the third derivative of 0 - 1/56*q**4 + 0*q + 0*q**p - 1/140*q**5 - 14*q**2. Factor o(b).
-3*b*(b + 1)/7
Let h = 31 - 17. Let t(f) be the second derivative of 0 - 1/24*f**3 - 1/48*f**4 + h*f + 0*f**2. Let t(i) = 0. What is i?
-1, 0
Solve 175*m - 425*m + 2*m**2 - 194 + 58*m = 0 for m.
-1, 97
Let k(g) be the third derivative of 0*g**3 + 1/6*g**7 + 0 + 2/3*g**6 + 108*g**2 - 10/3*g**4 - 13/3*g**5 + 0*g. Factor k(q).
5*q*(q - 2)*(q + 4)*(7*q + 2)
Let b(q) be the second derivative of -5/4*q**2 + 11/48*q**4 - 18*q - 1/120*q**6 + 1 + 1/8*q**3 - 3/80*q**5. Find t such that b(t) = 0.
-5, -1, 1, 2
Factor -24*f**2 + 100*f**3 + 9*f**5 - 78*f**2 + 42*f**2 - 45*f**4 - 4*f**5.
5*f**2*(f - 6)*(f - 2)*(f - 