 of -r**6/24 + 19*r**5 - 1135*r**4/24 - 1852*r**2. Find i, given that y(i) = 0.
0, 1, 227
Find z such that 10*z**2 + z**2 - 67474 + 142*z + 67606 - 2*z**3 - 3*z**2 = 0.
-6, -1, 11
Let -202/3*b + 40 + 59/3*b**2 - 4/3*b**3 = 0. What is b?
3/4, 4, 10
Let h(v) = -12*v**3 - v + 1. Let w(z) = 4*z**4 - 32*z**3 - 84*z**2 - 7*z + 83. Let o(i) = -3*h(i) + w(i). Solve o(k) = 0 for k.
-5, -1, 1, 4
Solve 7/5*n**3 - 9/5*n**2 - 7/5*n + 8/5 + 1/5*n**4 = 0.
-8, -1, 1
Let h(r) be the second derivative of r**7/126 - 4*r**6/45 - 17*r**5/30 + 128*r**4/9 - 565*r**3/6 + 300*r**2 + 9*r + 97. Let h(a) = 0. What is a?
-8, 3, 5
Let b(g) be the first derivative of g**3/7 + 66*g**2/7 + 480*g/7 + 885. Factor b(r).
3*(r + 4)*(r + 40)/7
Let c = -2909383/7 - -415627. Let i = 0 - 0. Solve c*h**2 + i + 4/7*h - 10/7*h**3 = 0 for h.
-2/5, 0, 1
Suppose 120*p - 9 = 117*p. Let q**3 - 680*q**5 + 678*q**5 - 4*q**4 - 3*q**p + 2*q**3 = 0. What is q?
-2, 0
Let n be 16/12*6 - 3. Suppose 9 = 3*s + 2*m - 5, n*m = 5. Factor 8*r**3 + 5*r**2 - 6*r**2 + 3*r**2 - 4*r**3 + 2*r**s.
2*r**2*(r + 1)**2
Let a(l) = -3*l**4 - 26*l**3 + 92*l**2 + 54*l - 110. Let g(y) = -4*y**4 - 24*y**3 + 92*y**2 + 56*y - 112. Let t(b) = 8*a(b) - 7*g(b). Let t(s) = 0. Calculate s.
-1, 1, 4, 6
Let o = 4283 + -4277. Let m(s) be the third derivative of -2/33*s**3 + 5/132*s**4 + 1/165*s**o + 0*s + 0 - 9*s**2 + 1/30*s**5. Factor m(a).
2*(a + 1)*(a + 2)*(4*a - 1)/11
Let q(a) = a**2 + 11*a - 100. Let s be q(-17). Factor 32*h**3 - 101*h**s + 96 - 152*h + 121*h**2 + h**4 + 3*h**4.
4*(h - 1)**2*(h + 4)*(h + 6)
Let -2/3*r**4 + 180*r - 162 + 12*r**3 - 72*r**2 = 0. Calculate r.
3, 9
Let d be (-3)/(-4) - (-15)/(-4). Let r be 2 + (-1 + 1)*d/6. Factor -r*c**2 - 14 + 12 + 0*c - 3*c - c.
-2*(c + 1)**2
Let r(u) = 11*u**2 + 17*u + 4. Let l be r(4). Suppose -43*z**4 - 93*z**4 + 64*z**2 + 260*z + 173*z**5 + 72 - 185*z**5 - l*z**3 = 0. Calculate z.
-9, -2, -1, -1/3, 1
Let v(x) = x. Let g(b) = -2*b**3 - 2*b**2 + 16*b. Suppose 20 = -3*t - 52. Let u = -36 - t. Let n(y) = u*v(y) + g(y). Let n(i) = 0. What is i?
-2, 0, 1
Let p(x) be the third derivative of -x**6/165 + 293*x**5/330 - 83*x**4/12 + 70*x**3/11 + 2*x**2 + 3114*x. Let p(w) = 0. What is w?
1/4, 3, 70
Let k(u) be the first derivative of u**6/6 + 92*u**5/5 + 741*u**4 + 37526*u**3/3 + 137083*u**2/2 + 146334*u + 717. Factor k(f).
(f + 2)*(f + 3)*(f + 29)**3
Let f(g) = g**2 + 6*g - 13. Let l be f(-8). Let v = -80 - -80. Suppose -5*p + v*p**2 + 3*p**2 - 2*p**l + p**2 + 3*p = 0. Calculate p.
0, 1
Let n(b) = -b**3 + 24*b**2 + 40*b - 39. Let m(o) = -24*o**2 - 52*o + 44. Let k(d) = -3*m(d) - 4*n(d). Determine y so that k(y) = 0.
-1, 1, 6
Let v(f) be the third derivative of f**5/330 + 161*f**4/66 + 25921*f**3/33 - 1669*f**2. Factor v(j).
2*(j + 161)**2/11
Let l(r) be the second derivative of -5*r**4/12 + 185*r**3/3 + 1975*r**2/2 - 260*r. Factor l(y).
-5*(y - 79)*(y + 5)
Let u(j) be the second derivative of 4*j**4/3 - 130*j**3/3 + 228*j**2 + 1176*j + 1. Factor u(h).
4*(h - 2)*(4*h - 57)
Let p(i) = i**3 + i - 2. Let v(f) = 9*f**3 - 1068*f**2 + 6*f - 12. Let l(h) = 6*p(h) - v(h). Factor l(t).
-3*t**2*(t - 356)
Factor 0*z + 261/7*z**3 + 0 + 3/7*z**4 - 264/7*z**2.
3*z**2*(z - 1)*(z + 88)/7
Solve -447*z**2 + 17*z**3 + 12 + 2*z**4 + 43*z - 436*z**2 + 929*z**2 = 0 for z.
-4, -3, -1, -1/2
Let n(g) = -2*g**5 - 78*g**4 - 88*g**3. Suppose 39 + 33 = -6*r. Let x(w) = w**5 + 31*w**4 + 35*w**3. Let h(s) = r*x(s) - 5*n(s). Factor h(c).
-2*c**3*(c - 10)*(c + 1)
Let t be 18 - (10 - 45/(-15)). Let p(n) be the third derivative of 0*n + 4/9*n**3 + 1/90*n**6 - 1/30*n**t - 14*n**2 + 0 + 1/315*n**7 - 1/9*n**4. Factor p(f).
2*(f - 1)**2*(f + 2)**2/3
Factor 30*b**2 + b**2 + 117*b + 101*b - 2*b**3 - 119*b**2 - 128*b**2.
-2*b*(b - 1)*(b + 109)
Let a(p) be the first derivative of p**3/5 - 45*p**2/2 - 462*p/5 - 4503. Factor a(i).
3*(i - 77)*(i + 2)/5
Suppose 2*c = -c + 15, 0 = 3*v + c - 143. Let d = v - 44. Factor 5*b**d - 20*b**4 + 15*b**4 - 4*b**3 + 10*b - 6*b**3.
-5*b*(b - 1)*(b + 1)*(b + 2)
Let i(q) = 3*q**3 + 350*q - 365*q + 0*q**4 + 3*q**2 + 6 - 3*q**4. Let y(p) = -3*p**4 + 4*p**3 + 2*p**2 - 14*p + 6. Let w(t) = 5*i(t) - 6*y(t). Factor w(f).
3*(f - 2)*(f - 1)**2*(f + 1)
Let s(c) be the second derivative of c**6/120 - 29*c**5/16 - 147*c**4/16 - 443*c**3/24 - 37*c**2/2 + 2271*c. Factor s(r).
(r - 148)*(r + 1)**3/4
Suppose 359475 = 106*c + 358945. Factor 52/7*o**3 + 2/7*o**c + 6*o - 10/7 - 68/7*o**2 - 18/7*o**4.
2*(o - 5)*(o - 1)**4/7
Let s(i) be the second derivative of -130/3*i**3 + 5/12*i**4 + 1690*i**2 + 2*i - 8. Let s(u) = 0. Calculate u.
26
Suppose -8*i = 12*i - 100. Determine k so that -i*k**2 + 14*k**2 - 3*k**2 - 2*k**3 - 8*k**2 = 0.
-1, 0
Suppose -493*h - 1559*h + 4104 = 0. Factor 66/7*i**h - 24/7 - 64/7*i - 2*i**3.
-2*(i - 3)*(i - 2)*(7*i + 2)/7
Suppose -3776 = 11*q - 9144. Factor -488 + q + 4*c**3 - 76*c**2.
4*c**2*(c - 19)
Suppose -24 = -12*a - 0. Suppose q = -3*q + 4. Let v(c) = 6*c**3 + 12*c**2 + 8*c - 2. Let i(t) = -t**3 + 1. Let s(g) = a*i(g) + q*v(g). Factor s(r).
4*r*(r + 1)*(r + 2)
Let l(m) be the first derivative of m**6/60 + 13*m**5/40 + 35*m**4/24 - 49*m**3/12 + 42*m - 55. Let b(g) be the first derivative of l(g). Factor b(o).
o*(o - 1)*(o + 7)**2/2
Let k(w) = -5*w**2 - 10*w + 20. Suppose 4*i - 21 = -c, 30 = 2*c + 5*i + 3. Let a(b) = -1. Let h(n) = c*k(n) + 5*a(n). Determine x so that h(x) = 0.
-3, 1
Find g such that 14645 - 7464 - 32392*g**2 - 732*g**4 - 27543*g**3 + 33852*g - 1159 - 4*g**5 + 27102 - 6305*g**3 = 0.
-91, -1, 1
Let t(x) be the second derivative of 5*x**4/12 + 67*x**3/6 - 21*x**2 - 186*x - 2. Factor t(d).
(d + 14)*(5*d - 3)
Let r(t) = -13*t**2 - 302*t - 324. Let a(u) = -7*u**2 - 149*u - 162. Let f(y) = -7*a(y) + 4*r(y). Find g, given that f(g) = 0.
-54, -1
Let f be -1*(-22)/((-1408)/(-16)). Suppose 0*a = -3*a. Determine o, given that a + o**2 - f*o - o**3 = 0.
0, 1/2
Let z(v) be the third derivative of v**5/12 + 3595*v**4/8 - 5395*v**3/3 + 48*v**2 + 5*v + 4. Suppose z(f) = 0. What is f?
-2158, 1
Suppose 1309*n + 4*x = 1305*n - 32, 5*x = 5*n - 60. What is v in -2*v**n - 2/9*v**3 + 0 - 16/9*v = 0?
-8, -1, 0
Let n(w) = 11*w**2 + 655*w + 55049. Let g(d) = 12*d**2 + 654*d + 55042. Let q(l) = -9*g(l) + 10*n(l). Solve q(a) = 0 for a.
-166
Let t(w) be the first derivative of -w**4 + 16*w**3/3 + 40*w**2 - 192*w - 183. Factor t(c).
-4*(c - 6)*(c - 2)*(c + 4)
Let r = -60 + 62. Suppose d - 4*d + r*i + 10 = 0, d + 3*i - 7 = 0. Factor -2*o**4 + 6*o + d*o**2 - 2*o**4 - 8*o**3 - o + 3*o.
-4*o*(o - 1)*(o + 1)*(o + 2)
Suppose -5*f - 2*i + 120 = -f, -i + 4 = 0. Suppose -x + 2 = -2, -4*p - 5*x = -f. Factor -2*y + 2*y**p + 8*y + 2*y**2 + 2*y**3 - 4*y.
2*y*(y + 1)**2
Let d(h) be the first derivative of h**7/42 - h**6/5 + 3*h**5/5 - 2*h**4/3 - 39*h + 34. Let k(j) be the first derivative of d(j). Factor k(o).
o**2*(o - 2)**3
Let a be (((-9)/(-21))/(-3))/(390/(-455)). Let f = -306 - -617/2. What is t in -4/3*t + 4/3*t**3 + f*t**2 - 8/3 + a*t**4 = 0?
-4, -1, 1
Let q(s) be the third derivative of -1/180*s**6 + 0 - 27*s**2 - 4/27*s**3 + 2/27*s**4 - 1/270*s**5 + 0*s. Factor q(x).
-2*(x - 1)*(x + 2)*(3*x - 2)/9
Factor -1263/7*q**3 - 3/7*q**5 + 0 - 6732/7*q**2 - 102/7*q**4 - 13068/7*q.
-3*q*(q + 6)**2*(q + 11)**2/7
Let y = 129832/3 - 43276. Factor 0 - 2/3*v**4 + 0*v - y*v**2 - 2*v**3.
-2*v**2*(v + 1)*(v + 2)/3
Let b be -35 + 1691/133 - -6*4. What is l in -b*l**2 - 16/7*l**3 - 2/7*l**4 + 16/7*l + 2 = 0?
-7, -1, 1
Let a(m) be the first derivative of 5*m**3 - 2*m**3 + 144 + m**3 + 2*m**4 - 11*m - 3*m**4 - 5*m. Factor a(q).
-4*(q - 2)**2*(q + 1)
Suppose 221*k - 50*k = 3*k + 840. Factor 3/8*s**k - 3/2*s**4 - 15/8*s**3 + 0*s**2 + 0*s + 0.
3*s**3*(s - 5)*(s + 1)/8
Let y(h) be the third derivative of 41/420*h**7 + 0*h**3 + 1/672*h**8 - 1/240*h**6 - 41/120*h**5 - 38*h**2 + 0*h + 0 + 0*h**4. Let y(q) = 0. What is q?
-41, -1, 0, 1
Factor -4484/7 + 4486/7*z - 2/7*z**2.
-2*(z - 2242)*(z - 1)/7
Factor -55/2*a**2 - 60*a + 0 - 5/2*a**3.
-5*a*(a + 3)*(a + 8)/2
Let w(j) be the third derivative of -j**6/300 + j**5/6 + 113*j**4/60 + 29*j**3/5 - 5*j**2 - 141. Find f such that w(f) = 0.
-3, -1, 29
Let b(j) be the third derivative of j**7/210 + j**6/24 - 3*j**5/20 - 27*j**4/8 - 18*j**3 - 1308*j**2. Find d, given that b(d) = 0.
-3, 4
Let v