 1754/11*c.
2*(c - 878)*(c + 1)/11
Let x = 492295 + -492291. Suppose 2/5*p**3 + 6/5*p - 12/5*p**2 + x = 0. What is p?
-1, 2, 5
Let x(k) be the third derivative of 0*k + 0 + 1/60*k**6 - 11*k**2 + 0*k**3 + 2/5*k**5 + 5/3*k**4. Let x(f) = 0. What is f?
-10, -2, 0
Let m(j) be the third derivative of -j**5/270 - 7*j**4/18 + 88*j**3/27 - 3*j**2 - 447. Let m(c) = 0. Calculate c.
-44, 2
Let a(l) = -147*l**4 + 49032*l**3 - 11130319*l**2 + 1122919968*l - 42483805445. Let b(i) = -6*i**4 - 5*i**2 + 1. Let n(q) = -2*a(q) + 22*b(q). Factor n(j).
2*(3*j - 454)**4
Let r = 8 - 7. Let p(o) = -2*o**3 + o**2. Let v(c) = -10*c**3 + 23*c**2 - 28*c + 12. Let n(b) = r*v(b) - 3*p(b). Factor n(l).
-4*(l - 3)*(l - 1)**2
Let 0*r - 1230*r**3 + 6724/3*r**2 + 56*r**4 - 2/3*r**5 + 0 = 0. What is r?
0, 2, 41
Let l(o) be the second derivative of o**7/3780 + o**6/135 + 7*o**5/180 + 5*o**4/54 + 65*o**3/6 - 36*o. Let c(u) be the second derivative of l(u). Factor c(q).
2*(q + 1)**2*(q + 10)/9
Let 512/5 + 32/5*g + 1/10*g**2 = 0. What is g?
-32
Let u be 12/16*((-396)/135)/(-11) + (-1328)/(-560). Solve 1/7*i**3 - 5*i + 16/7*i**2 + u = 0.
-18, 1
Suppose 59*g - 56*g - 6 = 0. Suppose -h + 6*h - 20 = 0. Factor -4*j**2 + 4*j + 3 + 3*j**4 - 4*j**3 + 0*j + 2*j**g - h*j**4.
-(j - 1)*(j + 1)**2*(j + 3)
Let q(r) = 76*r**3 - 8*r - 2. Let p be q(2). Let d = p + -590. Suppose 0 + d*h**2 - 2/9*h**3 + 0*h = 0. What is h?
0
Let v(m) be the first derivative of 5*m**3/3 + 235*m**2/8 - 15*m - 1196. Factor v(r).
5*(r + 12)*(4*r - 1)/4
Let z(k) be the first derivative of -k**3/9 + 259*k**2/6 - 86*k - 2279. Let z(j) = 0. Calculate j.
1, 258
Let o**4 + 1014896*o + 5*o**4 - 57*o**5 + 96*o**2 - 1014908*o + 171*o**3 = 0. What is o?
-1, 0, 2/19, 2
Let d(l) be the first derivative of l**3/9 - 19*l**2/6 - 50*l - 1761. Suppose d(x) = 0. Calculate x.
-6, 25
Factor 2/13*c**3 + 44/13*c**2 + 48/13 - 94/13*c.
2*(c - 1)**2*(c + 24)/13
Let n(g) = -3*g**3 + 39*g**2 - 2*g - 952. Let k be n(9). Factor -1/4*r**4 + 2 - 5/4*r**3 + r - 3/2*r**k.
-(r - 1)*(r + 2)**3/4
Solve 176/3*b**2 - 4/3*b + 4/3*b**3 - 176/3 = 0 for b.
-44, -1, 1
Suppose 3*y = -4*y + 1338 - 1324. What is v in 320/3*v**y + 2/3 + 52/3*v + 192*v**3 = 0?
-1/4, -1/18
Let h(t) be the third derivative of t**5/90 - 4*t**4/9 - 17*t**3/9 + 123*t**2 - 7*t + 1. Factor h(z).
2*(z - 17)*(z + 1)/3
Let p(w) = -123*w**2 + 4*w + 4. Let r be p(2). Let i = r - -1929/4. Let 3/2*s + i + 1/4*s**2 = 0. Calculate s.
-3
Let t(f) be the first derivative of 3*f**4/20 + 74*f**3/5 + 1386*f**2/5 - 10584*f + 2787. Factor t(j).
3*(j - 10)*(j + 42)**2/5
Let a(r) = -3*r**3 - 7269*r**2 - 14538*r - 7236. Let j(n) = -2*n**2 - 5*n + 1. Let t(u) = -a(u) + 9*j(u). Determine g, given that t(g) = 0.
-2415, -1
Suppose 37*d - 28*d + 27 = 0. Let h(v) = -2*v**3 - v**2 + v - 1. Let t(r) = 5*r**3 - 10*r**2 - 51*r - 33. Let m(y) = d*h(y) - t(y). Factor m(i).
(i + 1)*(i + 6)**2
Let p be -5 - 345/(-46)*4/8 - -3. Find n, given that -5/4*n**5 + 13/4*n**3 + 11/4*n**2 - p*n**4 - 1 - 2*n = 0.
-2, -1, -2/5, 1
Let o(g) be the third derivative of 1/5*g**6 + 3/35*g**7 - 9/8*g**4 - 2*g**3 + 1/112*g**8 - 33 - 1/10*g**5 + 2*g**2 + 0*g. Suppose o(b) = 0. What is b?
-4, -1, 1
Find t such that -5/3*t - 10 + 35/3*t**2 = 0.
-6/7, 1
Let k be (10 - 2820/285)/(48/152). Determine w so that 6*w**3 - 9*w + 0 + 0*w**2 + k*w**5 + 8/3*w**4 = 0.
-3, 0, 1
Let w(q) be the third derivative of q**5/270 - 29*q**4/54 + 841*q**3/27 + 1053*q**2. Suppose w(s) = 0. Calculate s.
29
Let g(r) be the first derivative of r**3/15 + 33*r**2/5 - 67*r/5 - 1318. Determine p so that g(p) = 0.
-67, 1
Let t = 4412 - 4412. Let h(r) be the first derivative of -2/15*r**5 + 1/6*r**4 - 1/3*r**2 + t*r + 2/9*r**3 + 2. Factor h(i).
-2*i*(i - 1)**2*(i + 1)/3
Let h(m) be the second derivative of 4/5*m**2 - 63/50*m**5 + 31/30*m**4 + 0 + 49*m + 28/15*m**3. What is k in h(k) = 0?
-2/7, -2/9, 1
Let j(k) = 720*k**2 - 1458*k + 729. Let l(y) = y**3 - 1444*y**2 + 2915*y - 1457. Let f(t) = -5*j(t) - 3*l(t). Let f(a) = 0. Calculate a.
1, 242
Let p(k) = -k - 35. Let g be p(0). Let h be 1/(5/(-3))*g. Determine l, given that -54*l - 4*l**4 - h*l**2 + 3*l**4 - 10*l**3 - 27 - 15*l**2 = 0.
-3, -1
Let l(s) = -7 - 4*s**2 - 5*s**2 - 23*s + s**2. Let t(h) = -4163*h**2 - h + 12*h + 2 + 4166*h**2 - 3*h. Let y(q) = -2*l(q) - 7*t(q). Factor y(u).
-5*u*(u + 2)
Let g(y) be the second derivative of 0 + 19*y + 72/5*y**3 - 432/5*y**2 + 1/25*y**5 - 6/5*y**4. Find v, given that g(v) = 0.
6
Let b(y) be the third derivative of y**5/12 + 1355*y**4/6 - 5425*y**3/6 - 6596*y**2. Factor b(f).
5*(f - 1)*(f + 1085)
Suppose -8*n = -17*n - 270. Let p = 32 + n. Solve 1/5*v**3 + 0*v + 3/5*v**p - 4/5 = 0.
-2, 1
Let m = -34067/208 + 2130/13. Let s(y) be the second derivative of 1/40*y**6 - m*y**4 + 0 - 1/8*y**3 + 3/80*y**5 + 0*y**2 - 20*y. Factor s(b).
3*b*(b - 1)*(b + 1)**2/4
Let v(f) = f**3 + 30*f**2 + 8. Let i be v(-30). Suppose -i = -7*g + 20. Suppose -6/5*k**3 + 2*k**g - 24/5*k**2 + 0 - 8/5*k = 0. Calculate k.
-1, -2/5, 0, 2
Suppose -5*z + 120 + 175 = 0. Suppose 0 = h - k - 23, -3*h + 0*k + 5*k = -z. Find p such that -65 - 4*p**2 + 21 + 20 + h*p = 0.
1, 6
Let q(n) be the third derivative of -1/6*n**3 + 21*n - 1/300*n**5 + 1/300*n**6 + n**2 + 0 - 1/15*n**4. Factor q(t).
(t + 1)**2*(2*t - 5)/5
Let u(g) = -7*g**3 - 425*g**2 - 422*g - 40. Let a(r) = -36*r**3 - 2124*r**2 - 2109*r - 210. Let d(z) = 4*a(z) - 21*u(z). Determine l, given that d(l) = 0.
-142, -1, 0
Factor 61 + 39 + 60*l**3 + 4 + 13*l**4 + 9*l**4 - 20*l**4 + 218*l**2 + 264*l.
2*(l + 1)**2*(l + 2)*(l + 26)
Let o(i) = i**5 - i**3 + i**2. Let r(z) = 40*z**2 + 38*z**2 + 4 + 7*z - 7*z**3 - 2*z**4 - 81*z**2. Let d(j) = 2*o(j) + 2*r(j). Factor d(k).
2*(k - 4)*(k - 1)*(k + 1)**3
Let n(s) be the second derivative of -s**4/6 + 30*s**3 - 344*s**2 - 1603*s. Let n(a) = 0. Calculate a.
4, 86
Factor 5202*u + 2*u**2 - 4476*u - 538 + 0*u**2 - 190.
2*(u - 1)*(u + 364)
Suppose b = 2*k - 0*b - 11, -2*b = -b + 5. Factor 22/7*a**2 + 34/21*a + 10/7*a**k - 2/21*a**4 + 0.
-2*a*(a - 17)*(a + 1)**2/21
Let o(x) be the first derivative of -x**4/2 + 20*x**3/3 - 29*x**2 + 40*x + 2190. Factor o(d).
-2*(d - 5)*(d - 4)*(d - 1)
Suppose 12*v - 22 = 2. Factor -2*g**v - g**2 - 6*g - 9 + 0*g**2 + 2*g**2.
-(g + 3)**2
Let i = 685/16214 + -3/242. Let o = 63/134 + i. Find b such that o*b**4 + 0*b - 1/2*b**3 + 0*b**2 + 0 = 0.
0, 1
Factor 2*g**3 - 952/5*g - 176/5*g**2 - 352/5.
2*(g - 22)*(g + 4)*(5*g + 2)/5
Let t(w) be the third derivative of -5*w**6/24 + 149*w**5/12 - 246*w**4 + 864*w**3 + w**2 - 54*w. Factor t(k).
-(k - 1)*(5*k - 72)**2
Let f(x) be the first derivative of x**6/6 - x**5 + 7*x**4/4 - x**3 - 69. Determine v, given that f(v) = 0.
0, 1, 3
Let d = 34 - 32. Suppose -3*j + 7 = -d*b, -2*b = 2*b - 3*j - 1. What is p in -7*p**2 - 3*p**5 + 23*p**2 - b*p**4 - p**5 + 16*p**3 = 0?
-2, -1, 0, 2
Let m(d) be the first derivative of -d**3/12 - 53*d**2/4 - 52*d - 1836. Factor m(f).
-(f + 2)*(f + 104)/4
Determine y so that -2/5*y**3 - 384/5 + 8/5*y + 96/5*y**2 = 0.
-2, 2, 48
Let v(z) be the second derivative of -z**6/165 - z**5/660 - 127*z**3/3 - 42*z - 2. Let s(y) be the second derivative of v(y). Factor s(c).
-2*c*(12*c + 1)/11
Let b(i) be the second derivative of -10817521*i**4/27 - 52624*i**3/27 - 32*i**2/9 + 2*i - 2250. Factor b(m).
-4*(3289*m + 4)**2/9
Let w be (-2)/(-5) - (-4)/33*(-3798)/(-3165). Factor 0 - 2/11*z**4 + 10/11*z**2 + 2/11*z**3 + w*z.
-2*z*(z - 3)*(z + 1)**2/11
Let l = -717 + 718. Suppose -u = n - 3, 12*u + 5*n - l = 14*u. Factor 8/9*o + 2/3 + 2/9*o**u.
2*(o + 1)*(o + 3)/9
Let j = 65 + 10. Suppose 5602*s + 3*s**4 + j*s**3 + 1755*s**2 + 48*s**3 + 4031*s + 7547 + 5635 = 0. Calculate s.
-13, -2
Solve 1892*j**2 - 13*j**4 - 9*j**4 - 12*j**4 - 3384 + 38*j**4 - 396*j**3 - 1092*j = 0.
-1, 3, 94
Let r(t) be the first derivative of -2*t**3/21 + 29*t**2 + 972. Factor r(a).
-2*a*(a - 203)/7
Suppose -n + 4*n = 513. Factor n*s - 876*s**3 - 270 - 33*s**2 - 27*s**2 + 881*s**3 + 54*s.
5*(s - 6)*(s - 3)**2
Let k(b) = b**3 - 12*b**2 - 2*b - 1. Let q(a) = -4*a**4 - 152*a**3 - 2760*a**2 - 13368*a - 10996. Let z(w) = -20*k(w) + q(w). Factor z(j).
-4*(j + 1)*(j + 14)**3
Factor 436*d**3 - 4/5*d**4 - 6516/5*d**2 + 6508/5*d - 2168/5.
-4*(d - 542)*(d - 1)**3/5
Let o(g) = 3*g**2 - 1411*g + 146523. Le