tive of s**5/360 + s**4/4 + 9*s**3 - 4*s**2 - 129. Find a, given that i(a) = 0.
-18
Let t(l) be the second derivative of l**6/150 - 39*l**5/100 - 27*l**4/4 - 423*l**3/10 - 648*l**2/5 + l - 63. Find m such that t(m) = 0.
-3, 48
Let q(t) be the second derivative of t**6/195 - 5*t**5/13 - 136*t**4/39 - 58*t**3/13 + 495*t**2/13 - 869*t. What is w in q(w) = 0?
-3, 1, 55
Let a(f) be the first derivative of f**6/14 - 57*f**5/7 - 291*f**4/14 - 2*f**3/7 + 579*f**2/14 + 291*f/7 + 1466. Solve a(o) = 0.
-1, 1, 97
Let t(m) be the third derivative of m**6/360 + 53*m**5/180 + 161*m**4/36 + 6*m**2 - 51*m - 6. Factor t(u).
u*(u + 7)*(u + 46)/3
Determine f so that 1176 + 12*f**4 + 1540*f + 2174/3*f**2 + 1/3*f**5 + 147*f**3 = 0.
-14, -3, -2
Let -3*w**5 + 240*w - 9*w**4 + 202*w - 93*w**2 - 18*w**4 - 478*w - 81*w**3 = 0. What is w?
-4, -3, -1, 0
Let d = 11213/2 + -5497. Let v = 447/4 - d. Factor -15/4*f**2 - 3/2*f + 0 - v*f**3.
-3*f*(f + 1)*(3*f + 2)/4
Let i be 4391/4005 - 14/(-126). Let o = i - 2/267. Let 0 + p**2 + 1/5*p - p**4 + o*p**5 - 7/5*p**3 = 0. Calculate p.
-1, -1/6, 0, 1
Suppose 23/6*i**2 + 0*i + 1/6*i**4 + 0 - 4*i**3 = 0. What is i?
0, 1, 23
Let z(c) = -c**3 + 292*c**2 - 573*c - 2030. Let b be z(290). Factor -14/3*x**2 - 9*x**3 - 4*x**4 + 0*x + 1/3*x**5 + b.
x**2*(x - 14)*(x + 1)**2/3
Let d(m) be the second derivative of m**7/105 - 1421*m**6/75 - 4269*m**5/50 - 4271*m**4/30 - 1424*m**3/15 + 1352*m. Solve d(a) = 0 for a.
-1, 0, 1424
Let 408/19*v**2 + 2/19*v**3 + 3564/19 + 126*v = 0. What is v?
-198, -3
Suppose -3*f = -2*n - 525, 7*f + 3*n = 10*f - 525. Let q be (f + -175)/((0 - -1)/1). Suppose -1/9*i**4 + 1/3*i**2 + q + 2/9*i**3 + 0*i = 0. What is i?
-1, 0, 3
Let s be 128/(-624)*21612/8. Let g = -554 - s. What is i in -g*i**2 - 32/13 + 16/13*i = 0?
4
Let r(i) = 2*i**2 + 17*i - 74. Suppose -3*p + m - 2 + 32 = 0, 4*m = 0. Let h(u) = -u**2 - 8*u + 35. Let v(y) = p*h(y) + 4*r(y). Factor v(z).
-2*(z - 3)*(z + 9)
Let m(k) be the second derivative of -k**6/60 + 841*k**5/20 - 707281*k**4/24 - 5*k + 12. Factor m(x).
-x**2*(x - 841)**2/2
Suppose 13*s - 5*s - 16 = 0. Suppose 3*z + z = 2*m + 8, -m = s*z - 4. Suppose m - 4/19*g**2 - 2/19*g - 2/19*g**3 = 0. What is g?
-1, 0
Let a be (16 + 152/(-24)*3)/(1 + -2). Let n be 24/9 + 2/(-3). Factor -12/5*y**n - 48/5*y**a + 0 + 8/5*y - 28/5*y**4.
-4*y*(y + 1)**2*(7*y - 2)/5
Suppose -r - 989 = 5*i, -i = 5*r - 4*i + 5085. Let w = -3040/3 - r. Determine f, given that -w*f**2 + 4/3*f - 2/3 = 0.
1
Let x(c) be the first derivative of -c**5/15 + 2*c**3/3 + 2*c**2 + 13*c - 70. Let n(m) be the second derivative of x(m). Factor n(j).
-4*(j - 1)*(j + 1)
Suppose 4*m = -r + 15, 5*r - 3 = -7*m + 11*m. Let q(g) be the second derivative of -9*g - 5/6*g**m + 0 - 3/2*g**2 + 1/20*g**5 - 1/12*g**4. Solve q(d) = 0.
-1, 3
Let t(k) = -k**3 + 12*k**2 - 34*k + 64. Let o be t(12). Let g be (-6)/(-16) + o/(-448). Factor 8/7*d - 2/7*d**3 + 2/7*d**2 - g.
-2*(d - 2)*(d - 1)*(d + 2)/7
Let x(y) = 3*y**2 - 7*y + 10. Let z be x(-10). Factor 270*b**2 + 405*b**4 - z*b**3 - 3 - 44*b**3 + 58*b**3 + 8 - 60*b - 174*b**3.
5*(3*b - 1)**4
Find i, given that -4199*i**2 + 16*i + 4263*i**2 + 4 - 3 = 0.
-1/8
Let m be 0 + (2 + -12)*7/(-35). Factor 15*q - m*q**2 + 11*q - 5*q**3 - 3*q**2 - 21*q + 5.
-5*(q - 1)*(q + 1)**2
Let t be (-12 - -7 - -5) + -2 + 5. Suppose 18*k + 2*k**4 - 18*k**t - 727 - 88*k + 703 - 66*k**2 = 0. What is k?
-1, 12
Let t be (9/(144/4))/((18/8)/3). Let x(v) be the second derivative of t*v**4 + 12*v + 20/3*v**3 + 50*v**2 + 0. Determine p so that x(p) = 0.
-5
Suppose 0 = -j + 3*q + 83 - 71, 3*q = -5*j + 114. Suppose -16 = 13*s - j*s. Suppose -1/9*w**s + 2/9*w - 1/9 = 0. Calculate w.
1
Let o = -11 - -14. Suppose -3*q - k = -0*k - 17, -5*q + 32 = -2*k. Solve -2 + 0*i**3 - 5*i**3 - 3*i + q*i**o = 0.
-1, 2
Let 262440 + 302258/5*f**2 + 257256*f - 6352/5*f**3 + 32/5*f**4 = 0. Calculate f.
-2, 405/4
Let k(v) be the third derivative of v**5/60 + v**4/24 + 69*v**2. Suppose k(b) = 0. What is b?
-1, 0
Let o(u) = -2*u**2 + 7*u + 17. Let y = -71 - -76. Let n be o(y). Factor -2*j**4 + 4*j**3 + 10*j + 8 - 14*j**3 + 0*j**3 - 6*j**n + 0*j**3.
-2*(j - 1)*(j + 1)**2*(j + 4)
Let p(b) be the second derivative of b**6/75 - 53*b**5/25 + 126*b**4 - 9310*b**3/3 + 8575*b**2 + 274*b. Factor p(c).
2*(c - 35)**3*(c - 1)/5
Let n(f) be the first derivative of -f**5/35 - 163*f**4/28 + 55*f**3/7 + 163*f**2/14 - 164*f/7 - 1507. Solve n(w) = 0.
-164, -1, 1
Let q = 671617 + -671615. Suppose 32/11 - 40/11*t + 16/11*t**q - 2/11*t**3 = 0. Calculate t.
2, 4
Let g(u) be the second derivative of 25*u**4/6 + 2860*u**3/3 + 81796*u**2 + 8366*u. Factor g(k).
2*(5*k + 286)**2
Let x(b) = 23*b**3 + 257*b**2 + 2383*b - 51. Let c(y) = 8*y**3 + 86*y**2 + 794*y - 18. Let m(u) = 17*c(u) - 6*x(u). Factor m(z).
-2*z*(z + 20)**2
Let s = -4630 + 4633. Let b(n) be the first derivative of 21 + 10/3*n**s - 5/4*n**4 + 10*n**2 - 40*n. Factor b(q).
-5*(q - 2)**2*(q + 2)
Let l be 12 - (-1 - -1)*(2 - 3). Let z be 2/(-8) + 195/l. What is b in 5*b**2 + 16*b + 25 - 30*b - z*b = 0?
1, 5
Let w(q) be the second derivative of q**5/120 - 17*q**4/24 + 289*q**3/12 + 127*q**2/2 + 113*q. Let r(t) be the first derivative of w(t). Factor r(h).
(h - 17)**2/2
Let j(u) = 11*u**4 - 50*u**3 - 122*u**2. Let p(v) = 80*v**4 - 350*v**3 - 855*v**2. Let o(z) = 15*j(z) - 2*p(z). Factor o(d).
5*d**2*(d - 12)*(d + 2)
Let f(i) be the second derivative of -i**4/42 - 4*i**3/21 + 2734*i + 2. Suppose f(n) = 0. Calculate n.
-4, 0
Let f(l) = 34*l - 269. Let k be f(8). Let t(w) be the first derivative of 6 - 4/3*w**k + w**2 + 0*w + 1/2*w**4. Find z, given that t(z) = 0.
0, 1
Let z(s) be the first derivative of -s**6/720 - s**5/40 - 5*s**4/48 - 7*s**3/36 + s**2/2 - 14*s + 126. Let m(j) be the second derivative of z(j). Factor m(x).
-(x + 1)**2*(x + 7)/6
Let o(w) = -w**3 + 20*w**2 - 2*w + 46. Let z be o(20). Factor -z*l**2 - 7 + 4*l**2 + 6 + 19.
-2*(l - 3)*(l + 3)
Suppose 0 = -4*b + 5*b - 2. Let r = 328625/93894 - -2/46947. Factor 3*w**3 + 1/2*w**5 + 5/2*w**4 - 3/2 - w**b - r*w.
(w - 1)*(w + 1)**3*(w + 3)/2
Let k(s) = 9*s**3 - 255*s**2 - 3074*s - 11200. Let h(w) = w**3 - 32*w**2 - 384*w - 1400. Let v(n) = -51*h(n) + 6*k(n). Factor v(u).
3*(u + 10)**2*(u + 14)
Let n be (-14665699)/(-3) + (2/3)/1. Factor -45000*y**2 - 10580130 - 13058437 + n - 1500000*y - 3*y**4 - 600*y**3.
-3*(y + 50)**4
Suppose 8862*c + 24166*c - 406560 - 650*c**2 + 5*c**3 - 4868*c = 0. Calculate c.
42, 44
Let t(n) = 35*n**2 + 4*n - 9. Let v(l) = -l**2 + 4*l - 1. Let p be v(3). Let f(u) = 6 + 0*u**p + 0 - 5 - u**2. Let i(a) = 18*f(a) + 2*t(a). Factor i(c).
4*c*(13*c + 2)
Let n = -89027/111 - -29688/37. Factor n*z**2 - 8 + 10/3*z.
(z - 2)*(z + 12)/3
Determine y so that 214/5 - 8/15*y**2 + 2566/15*y = 0.
-1/4, 321
Suppose 13*j - 49 = -10. Factor -x + 3*x - 6085*x**4 + 6086*x**4 - 1 - 2*x**j.
(x - 1)**3*(x + 1)
Find s, given that -45/2*s + 5*s**5 + 35/2*s**3 - 115/6*s**4 + 25/3 + 65/6*s**2 = 0.
-1, 5/6, 1, 2
Let k(t) be the second derivative of t**5/60 + 3*t**4/4 - 61*t**3/18 - 29*t**2/2 - 1826*t. Factor k(j).
(j - 3)*(j + 1)*(j + 29)/3
Let p(s) be the first derivative of s**4/3 - s**3/6 + 117*s + 157. Let d(i) be the first derivative of p(i). Suppose d(q) = 0. What is q?
0, 1/4
Let d = -13170 + 171218/13. Suppose d - 10/13*g**3 - 8/13*g - 2*g**2 = 0. Calculate g.
-2, -1, 2/5
Let t(x) be the second derivative of -16*x - 1/80*x**5 - 20*x**2 + 0 + 1/32*x**4 + 0*x**3. Let z(v) be the first derivative of t(v). Factor z(h).
-3*h*(h - 1)/4
Suppose 512/5 - 68/5*f**3 + 2/5*f**4 + 642/5*f**2 - 1088/5*f = 0. Calculate f.
1, 16
Let u = 131 - 92. Let z = -32 + u. Solve 2*v**2 + 10*v**3 - 4*v**4 - 2*v**4 - z*v**2 + v**4 = 0 for v.
0, 1
Suppose 2*w - 4 = 6*h - 3*h, -4 = -2*w + 2*h. Find l, given that 14*l**2 + 2*l**3 + 11 + 0*l**4 + 1 - w*l**4 - 8*l - 18*l = 0.
-3, 1, 2
Let o(c) be the second derivative of -c**4/4 + 78*c**3 - 266*c. Find g such that o(g) = 0.
0, 156
Factor -5/3*q**2 - 40 - 203/3*q.
-(q + 40)*(5*q + 3)/3
Let z be (2 - (-1)/(-2))*2. Let q be (27/6)/z*12/9. Factor -7 + 4*f**q + 6 + 20*f**3 - 3 - 20*f.
4*(f - 1)*(f + 1)*(5*f + 1)
Let y(b) be the second derivative of 1/10*b**5 + 0 - 1/3*b**4 - 8*b - 1/3*b**3 + 3/2*b**2 + 1/30*b**6. Solve y(i) = 0.
-3, -1, 1
Let j(x) = -4*x**2 + x + 1. Let 