0.
-46, 7
Let p(i) = 2*i + 68. Let j be p(-34). Let n(c) be the first derivative of 0*c**2 + 2/15*c**5 + j*c**3 - 13 + 0*c + 1/12*c**4 + 1/18*c**6. Factor n(w).
w**3*(w + 1)**2/3
Let f = 4694 + -4692. Let o(d) be the third derivative of 0 + 1/20*d**5 + 5/6*d**3 + 1/120*d**6 + 0*d - 22*d**f - 3/8*d**4. Find l such that o(l) = 0.
-5, 1
Let z be (1166/(-1272) - (-15)/12)*(0 - -2). What is a in 0*a**2 + 0 + z*a - 2/3*a**3 = 0?
-1, 0, 1
Let 29558*h - 135*h**2 + 57 - 29258*h + 83 - 25*h**3 = 0. Calculate h.
-7, -2/5, 2
Let z = 676917 - 676917. Suppose 14/3*q**2 + 10/3*q**3 + 2/3*q**5 - 14/3*q**4 + z - 4*q = 0. What is q?
-1, 0, 1, 6
Factor 0 + 0*l + 143/4*l**2 - 1/4*l**3.
-l**2*(l - 143)/4
Let x(l) be the third derivative of -1/10*l**6 - 2/105*l**7 + 0*l**5 + 0 + 182*l**2 + 0*l**3 + 2/3*l**4 + 0*l. Determine b so that x(b) = 0.
-2, 0, 1
Let u = 39 + -12. Factor 140 - 5*y**3 + 29*y + 15*y**2 + 64*y + u*y.
-5*(y - 7)*(y + 2)**2
Let 4/13*b**4 - 6210/13*b - 146/13*b**3 + 1692/13*b**2 + 2700/13 = 0. Calculate b.
1/2, 6, 15
Let s = 475 - 475. Let p(o) be the third derivative of 1/1512*o**8 + 0*o**3 + 0*o**4 + 1/270*o**6 + 1/315*o**7 + 0*o + 0*o**5 + s - 9*o**2. Factor p(j).
2*j**3*(j + 1)*(j + 2)/9
Suppose -55484*x = -55243*x - 482. Solve -4/3*v**5 + 0 + 7/3*v + 19*v**3 - 41/3*v**x - 19/3*v**4 = 0 for v.
-7, 0, 1/4, 1
Let v be ((-1)/(-2))/(1/18). Suppose -3*m = -v, -2*l + 3*m = -0*m + 5. Factor -14*g**2 + g**3 + 18*g**2 - 4*g**3 + l*g**3 + 2 - 5*g.
-(g - 2)*(g - 1)**2
Let t(l) be the first derivative of l**6/36 + 13*l**5/10 + 145*l**4/8 + 1081*l**3/18 + 84*l**2 + 54*l + 1602. Determine z so that t(z) = 0.
-18, -1
Let a(o) be the second derivative of 17*o**2 + 1/7*o**3 + 0 + 4*o - 3/56*o**4 + 1/140*o**5. Let b(i) be the first derivative of a(i). What is y in b(y) = 0?
1, 2
Suppose 147*q = 146*q. Suppose w = 5*n - 7, -3*w + 2*w + 2*n - 1 = q. Factor 0 + 2/3*d**4 + 10/3*d**2 + 8/3*d**w + 4/3*d.
2*d*(d + 1)**2*(d + 2)/3
Let a(k) be the third derivative of -1/105*k**7 + 0*k - 3/2*k**4 + 0 - 7/10*k**5 + 0*k**3 + 18*k**2 - 2/15*k**6. Factor a(s).
-2*s*(s + 2)*(s + 3)**2
Let v(l) be the third derivative of l**6/200 - l**4/10 + 25*l**2 + 4. Factor v(c).
3*c*(c - 2)*(c + 2)/5
Find s, given that 5*s**4 + 30*s - 38*s**2 + 0 + 7/2*s**3 - 1/2*s**5 = 0.
-3, 0, 1, 2, 10
Let l(a) be the first derivative of a**6/540 + a**5/18 - 11*a**4/36 - 257*a**3/3 + 255. Let u(s) be the third derivative of l(s). Find w such that u(w) = 0.
-11, 1
Suppose 1430 = -10*l + 1430. Let a(c) be the second derivative of 3/2*c**2 + l - 13*c + 2/3*c**3 + 1/12*c**4. Factor a(m).
(m + 1)*(m + 3)
Let a be -2 + 3126*(-3)/(-9) - -2. Let y = 5214/5 - a. Factor -2/5*s**2 + 0 + y*s.
-2*s*(s - 2)/5
Suppose 0*w + 3*w = -5*v - 17, -w + v = -5. Let u be 420/(-75) - w*-6. Solve 2/5*y**4 + 0 + u*y**5 + 0*y**2 + 0*y**3 + 0*y = 0 for y.
-1, 0
Let k(u) be the third derivative of 289*u**5/570 + 629*u**4/114 + 1369*u**3/57 + 6*u**2 + 198*u. Solve k(i) = 0 for i.
-37/17
Let a(u) be the first derivative of u**7/168 - u**6/120 - u**5/60 - 2*u**3 - 9*u + 101. Let f(o) be the third derivative of a(o). Factor f(v).
v*(v - 1)*(5*v + 2)
Suppose 118*s = -30*s + 152*s - 12. Factor 28/3*l**2 - 15*l + 6 - 5/3*l**s.
-(l - 3)*(l - 2)*(5*l - 3)/3
Let j = 28109 + -28107. Factor -1/4*v + 1/4*v**3 + 1/4*v**j - 1/4.
(v - 1)*(v + 1)**2/4
Let a(n) = 5*n - 30. Let m be a(7). Suppose m*z = 3*u + 3*z - 10, 0 = 2*u - 5*z - 3. Factor -3*y + 3*y**4 + 13*y**4 + u*y**4 - 36*y**3 + 28*y**2 - 5*y - 4*y**5.
-4*y*(y - 2)*(y - 1)**3
Let o(z) = 3*z + 1. Let c be o(-3). Let q = c - -12. Find a, given that -4*a**2 - 8*a**5 + 22*a**q - 183*a**3 + 0*a**2 + 173*a**3 = 0.
-1/4, 0, 1, 2
Let d(s) = 5*s**2 - 170*s. Let n(k) = k**2 + 16*k. Let a(h) = d(h) - 6*n(h). Find t, given that a(t) = 0.
-266, 0
Let z be 12/6 + 38/1. Suppose -z*d = -21*d - 95. Factor -2/5*l**d + 0*l - 6/5*l**4 + 0*l**3 + 8/5*l**2 + 0.
-2*l**2*(l - 1)*(l + 2)**2/5
Let k(r) be the first derivative of r**2 - 2/3*r**3 - 11*r + 0*r**4 - 2 + 1/5*r**5 - 1/15*r**6. Let b(x) be the first derivative of k(x). Factor b(n).
-2*(n - 1)**3*(n + 1)
Let g = -25718 - -25720. Let h(m) be the first derivative of 12/11*m + 39 + 0*m**3 - 7/11*m**g + 1/22*m**4. Factor h(n).
2*(n - 2)*(n - 1)*(n + 3)/11
Let f = 297 - 273. Let s be 4 + 1 - ((-60)/f - -6). Factor 3/2*h + 1/2*h**4 + 1/2*h**2 - 1 - s*h**3.
(h - 2)*(h - 1)**2*(h + 1)/2
Factor -518616 - 3/2*r**2 - 1764*r.
-3*(r + 588)**2/2
Let f(x) = 165*x**4 + 210*x**3 - 285*x**2 - 285*x. Let p(l) = -15*l**4 - 19*l**3 + 26*l**2 + 26*l. Let n = -581 + 646. Let w(h) = n*p(h) + 6*f(h). Factor w(g).
5*g*(g - 1)*(g + 2)*(3*g + 2)
Let a(z) be the first derivative of 4*z**3/33 + 57*z**2/11 + 56*z/11 - 1332. Suppose a(s) = 0. What is s?
-28, -1/2
Let q(j) = -8*j + 66. Let g be q(8). Solve -1138*v + 1136*v - v**g - v**2 = 0.
-1, 0
Let s(p) be the second derivative of p**5/4 - 70*p**4 + 5880*p**3 - 628*p + 3. Find j such that s(j) = 0.
0, 84
Let m(a) = -a**3 + a**2 + 2*a - 1. Let p(n) = 32*n**4 - 6362*n**3 - 3188*n**2 + 2808*n - 408. Let u(z) = -10*m(z) + p(z). Suppose u(x) = 0. What is x?
-1, 1/4, 199
Let n(t) be the first derivative of -107 + 9/19*t**2 - 4/19*t**3 - 1/38*t**4 + 28/19*t. Factor n(l).
-2*(l - 2)*(l + 1)*(l + 7)/19
Let d(c) = 13*c**3 + 4*c**2 + 3*c + 6. Let s be d(5). Suppose 7*m = s - 1725. Let 76/5*v - 132/5*v**2 - 12/5 + 36/5*v**m = 0. Calculate v.
1/3, 3
Factor 236178*b + 1160*b**3 - 35573 + 67275*b**2 - 237338*b + 5*b**4 - 31707.
5*(b - 1)*(b + 1)*(b + 116)**2
Let n(h) = -h**2 + 14*h + 17. Let j = 128 + -113. Let p be n(j). Factor -4/3*z + 7/6*z**p - 1/6*z**3 - 8/3.
-(z - 4)**2*(z + 1)/6
Let m(z) = z**3 - z + 2. Suppose 2 = -20*p + 22. Let g(j) = 6*j**3 - j**2 - 10*j + 7. Let i(r) = p*g(r) - 5*m(r). Solve i(k) = 0 for k.
-1, 3
Let q be ((-5886)/36)/(2/(-4)). Find i, given that q*i**3 - 981*i**2 + 845*i**4 - 1014*i**2 - 740*i + 1623*i**3 - 60 = 0.
-3, -2/13, 1
Let q = 143 + -139. Suppose -6*x + 14 = -q. Determine l, given that 2*l**x - 175*l**2 + 3*l**3 + 20 + 160*l**2 = 0.
-1, 2
Let c(v) be the first derivative of -1/3*v**4 + 0*v + 2/15*v**5 - 32 + 2/3*v**2 - 2/9*v**3. Factor c(l).
2*l*(l - 2)*(l - 1)*(l + 1)/3
Let l(x) = 2 + 55 - 106 - 41 + 3*x. Let t be l(30). Determine g so that -5/7*g**4 - 3/7*g**2 + 1/7*g**5 + g**3 + 0*g + t = 0.
0, 1, 3
Let u = 682555 - 682553. Find z such that 56/5*z - 2/5*z**4 - 8/5*z**3 + 6 + 4*z**u = 0.
-5, -1, 3
Let j(p) be the second derivative of -65*p**4/12 + 175*p**3/3 - 300*p**2 + 2*p - 15. Let t(l) = -5*l**2 + 27*l - 46. Let n(s) = 3*j(s) - 40*t(s). Factor n(d).
5*(d - 4)*(d - 2)
Determine q so that 6/7*q**2 + 2/7*q**3 - 154 - 30*q = 0.
-7, 11
Let z = 10283/3 - 3402. Let i(w) be the second derivative of -64/3*w**3 + 6*w**7 + 0 + 8*w**2 - 31/5*w**5 + 6*w + z*w**4 - 54/5*w**6. Let i(k) = 0. Calculate k.
-1, 2/7, 1/3, 2/3, 1
Let d(k) be the third derivative of k**6/420 + 5*k**5/21 + 143*k**4/84 + 94*k**3/21 - 2066*k**2. Let d(m) = 0. What is m?
-47, -2, -1
Let o(q) = -26. Let v be (-12)/8 + (-10)/4 - -2. Let r(k) = k**2 + k + 1. Let l(d) = v*o(d) - 4*r(d). Factor l(u).
-4*(u - 3)*(u + 4)
Factor 48/7 - 46/7*w**2 + 548/7*w.
-2*(w - 12)*(23*w + 2)/7
Suppose 65023 = -1530*x + 65023. Factor -3/2*o**3 - 7/6*o**5 + 0*o + 0*o**2 + x + 4*o**4.
-o**3*(o - 3)*(7*o - 3)/6
Let k = 490537 - 3433756/7. Factor 0*h**2 + 6/7 + 9/7*h - k*h**3.
-3*(h - 2)*(h + 1)**2/7
Let t(m) = m**2 + 25*m + 87. Let o be t(-21). Solve 50*l**2 - 4*l**o - 72*l**2 - 188 - 20*l**2 + 372*l - 138*l**2 = 0 for l.
-47, 1
Let h(b) = 5*b**3 - 3*b**2 + 4*b. Let y be (-4)/(-8 - 26/(-3)). Let i(l) = -l**3 + l**2. Let r(a) = y*i(a) - h(a). Solve r(x) = 0 for x.
-1, 0, 4
Let k(y) be the first derivative of 36*y**3/7 + 34*y**2/7 - 40*y/7 - 1671. Factor k(n).
4*(n + 1)*(27*n - 10)/7
Find g such that -41*g**4 - 147*g - 140*g + 40*g**4 + 7 - 6*g**2 + 295*g - 8*g**3 = 0.
-7, -1, 1
Let n(c) be the third derivative of 23*c**7/385 - 52*c**6/165 + 7*c**5/11 - 6*c**4/11 + c**3/33 + 3*c**2 - c - 41. Factor n(k).
2*(k - 1)**3*(69*k - 1)/11
Let m be (((-80)/(-52))/5)/(288/624). Factor 2 - m*s**2 - 4/3*s.
-2*(s - 1)*(s + 3)/3
Solve -2401/4*q**2 - 147*q - 9 = 0.
-6/49
Suppose -32 - 96 = -32*t. Let s be ((-37)/(-592))/(1/t). Factor 0*x - 3/8*x**2 + 0 + 1/8*x**4 + s*x**3.
x**2*(x - 1)*(