3, -2/7, 0, 1
Let h(r) be the third derivative of 49*r**7/90 + 49*r**6/20 - 7*r**5/3 + 31*r**4/36 - r**3/6 - 37*r**2. Factor h(b).
(b + 3)*(7*b - 1)**3/3
Suppose 3*v - 8*v = -10. Let q be ((-10)/4)/(v/4). Let z(w) = 3*w**3 + 5*w**2 + w - 6. Let b(p) = 1. Let h(l) = q*b(l) - z(l). Factor h(j).
-(j + 1)**2*(3*j - 1)
Let n(h) be the second derivative of h**7/2100 - h**5/100 + h**4/30 + 4*h**3/3 - h. Let r(b) be the second derivative of n(b). Factor r(f).
2*(f - 1)**2*(f + 2)/5
Let t be (78 - 73)*(2 - 1). Let b(y) be the third derivative of 2/15*y**3 + 6*y**2 - 1/150*y**t - 1/60*y**4 + 0 + 0*y. Factor b(s).
-2*(s - 1)*(s + 2)/5
Factor -8/3*r - 12*r**2 - 10*r**3 + 0 + 25/3*r**4.
r*(r - 2)*(5*r + 2)**2/3
Factor 0*i**2 + 0*i + 0 - 2/7*i**3.
-2*i**3/7
Let y be ((-17)/(2040/(-24)))/((-1)/(-15)). Let 6/5*n - 8/5*n**2 + 8/5*n**4 - 4/5*n**y + 0 - 2/5*n**5 = 0. What is n?
-1, 0, 1, 3
Suppose 4*b - 4*w = 3 + 9, b + 17 = 5*w. Let f(k) = k**3 + 4*k**2 + 2*k - 1. Let i be f(-2). Solve -8*d**3 + b - 16*d - 3*d**i - 9*d**3 + 48*d**2 - 20*d = 0.
2/5, 1
Let b(q) be the first derivative of 20/9*q**2 + 5 - 200/9*q - 2/27*q**3. Determine a so that b(a) = 0.
10
Factor 4/5*x**3 - 4/5*x + 2/5 - 2/5*x**2.
2*(x - 1)*(x + 1)*(2*x - 1)/5
Let q(g) = -5*g + g**2 - 5*g + 11*g. Let j be q(-2). Find k, given that -11*k**2 - 13*k**3 - k**5 - 9*k**j - 7*k**4 - 13*k**3 - 8*k + 8*k**3 = 0.
-2, -1, 0
Let o(g) = -g**4 + g**3 - g**2. Let d(u) = 2*u**5 + 6*u**4 + 22*u**3 + 10*u**2 + 4*u. Let r(a) = d(a) - 4*o(a). Factor r(k).
2*k*(k + 1)**3*(k + 2)
Factor 0*c - 5*c**3 - 5/2*c**5 + 0 + 0*c**2 + 15/2*c**4.
-5*c**3*(c - 2)*(c - 1)/2
Let u(c) be the second derivative of -c**6/40 + 117*c**5/80 - 507*c**4/16 + 2197*c**3/8 + 620*c. Let u(n) = 0. Calculate n.
0, 13
Let f(g) be the second derivative of -g**5/40 + g**4/8 + 15*g**2/2 + 6*g. Let d(c) be the first derivative of f(c). Factor d(w).
-3*w*(w - 2)/2
Let r = 47 + -46. Let l be 1*(-3)/(-9)*r. Suppose 2/3 + l*u**2 + u = 0. Calculate u.
-2, -1
Let m(n) = 3*n + 65. Let t be m(-21). Let p be (-3)/(-4 + 1) - t/3. Factor x + p*x**2 + 2/3.
(x + 1)*(x + 2)/3
Factor 102*d + 3468 + 3/4*d**2.
3*(d + 68)**2/4
Let m(k) be the first derivative of k**4 - 28*k**3/3 - 20*k**2 + 64*k - 195. Factor m(c).
4*(c - 8)*(c - 1)*(c + 2)
Let f(n) be the second derivative of -9/4*n**4 - 1/60*n**6 + 0 - 3/10*n**5 + 1/2*n**2 - 9*n**3 - n. Let k(i) be the first derivative of f(i). Factor k(r).
-2*(r + 3)**3
Let m(y) be the second derivative of y**4/48 + y**3/24 - 3*y**2/4 + 2*y + 49. Determine f, given that m(f) = 0.
-3, 2
Let r = -36 + 54. Suppose s - r = -5*s. Let 0 - 3/2*l**s + 0*l + 1/2*l**5 - l**2 + 0*l**4 = 0. What is l?
-1, 0, 2
Factor 1800*k + 7*k**4 + 8733 + 90*k**3 + 605*k**2 - 2*k**4 - 6733.
5*(k + 4)**2*(k + 5)**2
Suppose 133*i + 6*i - 417 = 0. Factor 0 - 2/5*k**i + 0*k - 2/5*k**2.
-2*k**2*(k + 1)/5
Suppose 17*o - 20*o + 3 = 0. Let y be o*((-5)/(-5))/2. Factor 1/2 - 1/2*p - 1/2*p**2 + y*p**3.
(p - 1)**2*(p + 1)/2
Let t be (-54)/(-180) - (46/(-20) + 2). Let -6/5*b - t*b**2 - 3/5 = 0. Calculate b.
-1
Let s(i) be the second derivative of -3*i**5/20 - 103*i**4/4 - 1300*i**3 + 4056*i**2 + 7*i - 5. Factor s(k).
-3*(k - 1)*(k + 52)**2
Let s(d) = -d**2 + d - 1. Let n(f) be the first derivative of -5*f**3/3 + 5*f**2/2 + 4*f + 22. Let z(l) = n(l) - 2*s(l). Factor z(b).
-3*(b - 2)*(b + 1)
Let v be 30/8*(-816)/(-1377). Solve 5/3*k**3 - 16/9 - v*k + 56/9*k**2 = 0 for k.
-4, -2/5, 2/3
Let y(s) = 13*s**2 + s. Let v be y(2). Factor 34*i**2 + 45*i + 7 - 2 + 35*i**3 + v*i**2 - 13*i**2.
5*(i + 1)**2*(7*i + 1)
Let d(b) be the second derivative of -b**7/1260 + b**6/180 - b**5/120 - b**4/36 + b**3/9 - 4*b**2 - 12*b. Let n(q) be the first derivative of d(q). Factor n(p).
-(p - 2)**2*(p - 1)*(p + 1)/6
Let c(a) be the second derivative of a**5/60 + a**4/12 + a**3/6 + 5*a**2 - 15*a. Let t(i) be the first derivative of c(i). Factor t(m).
(m + 1)**2
Suppose 7*i - 60 = 2*i. Suppose 0 = -0*m + 4*m - i. Solve 192*q**2 - 51*q**m - 172*q - 340*q + 2*q**4 + 19*q**3 + 512 = 0.
4
Let f(h) be the third derivative of h**6/540 - h**5/54 + 7*h**4/108 - h**3/9 - 5*h**2 + 5*h. Find s, given that f(s) = 0.
1, 3
Let z(k) be the second derivative of -k**5/4 + 5*k**3/6 + 6*k - 2. Let z(w) = 0. What is w?
-1, 0, 1
Let j be 181/(-1) - (7 - (-44)/(-6)). Let v = 186 + j. Factor v*z - 4 - 4/3*z**2.
-4*(z - 3)*(z - 1)/3
Let q(d) = -2*d**3 + 16*d**2 - 64*d + 64. Let g(v) = 2*v**3 - 15*v**2 + 64*v - 64. Let f = -3 + 7. Let x(n) = f*g(n) + 5*q(n). Factor x(b).
-2*(b - 4)**2*(b - 2)
Suppose -48/5*d**2 + 3/5*d**5 - 48/5*d + 12/5*d**4 + 0*d**3 + 0 = 0. What is d?
-2, 0, 2
Let h(t) = -5*t**3 + 6*t + 7. Let r be h(-3). Suppose -r = 4*m - 144. Factor 5*o + 0*o**2 + 5/2*o**4 - 5/2 - m*o**3.
5*(o - 1)**3*(o + 1)/2
Suppose 8*f - 8 = 4*f. Suppose -3*n**3 + 0*n - n**3 + 0*n + 4*n**f = 0. Calculate n.
0, 1
Let c(d) be the first derivative of d**6/18 + d**5/5 + d**4/6 + 46. Find v, given that c(v) = 0.
-2, -1, 0
Factor -14/11*a**2 + 20/11*a + 2/11*a**3 + 0.
2*a*(a - 5)*(a - 2)/11
Let j(s) = s**3 + 32*s**2 + 34*s + 96. Let t be j(-31). Let x(i) be the first derivative of 4/15*i**t - 3/20*i**4 + 3 - 1/10*i**2 + 0*i. Factor x(p).
-p*(p - 1)*(3*p - 1)/5
Let x be 2 + (22 - -4) + -3. Let b = 30 - x. Factor 2/3*h**2 + 0*h + h**3 + 0 + 0*h**4 - 1/3*h**b.
-h**2*(h - 2)*(h + 1)**2/3
Let r = -32 - -38. Let q(l) be the third derivative of -1/120*l**8 + 0*l**4 + 0 - 4/175*l**7 + 0*l**3 + 1/75*l**5 + 6*l**2 - 1/100*l**r + 0*l. Factor q(a).
-2*a**2*(a + 1)**2*(7*a - 2)/5
Let o(c) be the first derivative of 1/4*c**2 - 3/4*c**3 - 14 + 7/16*c**4 + 0*c. Factor o(w).
w*(w - 1)*(7*w - 2)/4
Suppose -1350 + 1197 = -51*w. Solve 0 - 3/7*v**w - 48/7*v + 24/7*v**2 = 0.
0, 4
Let j(b) be the third derivative of -7*b**6/30 - 9*b**5/5 - 16*b**4/3 - 8*b**3 - 18*b**2. Factor j(i).
-4*(i + 1)*(i + 2)*(7*i + 6)
Let t = -93 - -97. Let v(m) be the first derivative of 0*m**5 + 0*m - 5 + 0*m**3 - 1/27*m**6 - 1/9*m**2 + 1/9*m**t. Factor v(c).
-2*c*(c - 1)**2*(c + 1)**2/9
Let c(m) be the first derivative of 0*m**2 + 2 + 0*m**4 + 1/6*m**3 + 0*m - 1/10*m**5. Determine x so that c(x) = 0.
-1, 0, 1
Factor -3/7*i**3 + 0 + 0*i - 3*i**2.
-3*i**2*(i + 7)/7
Let -16*r + 25*r**2 - 4*r**3 + 43*r**2 - 48*r**2 = 0. Calculate r.
0, 1, 4
Suppose 0 = -3*y - 2*y - 55. Let h = y - -14. Determine c so that c**3 - 4*c**h - 2*c**2 + 5*c**2 = 0.
0, 1
Let g(v) be the second derivative of -8*v + 0 - 20/3*v**4 - 2*v**5 - 10*v**3 - 8*v**2 + 2/21*v**7 + 0*v**6. Factor g(o).
4*(o - 4)*(o + 1)**4
Let f(l) be the second derivative of -l**4/20 - l**3/5 + 9*l**2/2 + 16*l. Let f(i) = 0. Calculate i.
-5, 3
Let h(n) = 2*n**2 + 4*n + 6. Let v(f) = f**2 + f - 1. Let i(l) = l**2 - l + 4. Let c be i(0). Let q(u) = c*v(u) + h(u). Determine t, given that q(t) = 0.
-1, -1/3
Suppose 3*u + 3*s - 15 = 0, 2*u + s = 4*s. Find a, given that -2*a + a**2 - 13*a**2 + 64*a**u + 0*a**3 - 60*a**4 + 16*a**5 - 6*a = 0.
-1/4, 0, 1, 2
Let a = 514 - 512. Let g(l) be the first derivative of 1/7*l**a + 1 - 2/35*l**5 - 1/14*l**4 + 0*l + 2/21*l**3. Solve g(f) = 0.
-1, 0, 1
Let n(q) = 9*q**2 - 12*q. Let p(h) = 16*h**2 - 22*h + 1. Let b(g) = 5*n(g) - 3*p(g). Find i such that b(i) = 0.
1
Let k(u) be the second derivative of u**4/48 + 5*u**3/12 + 25*u**2/8 + 89*u. Suppose k(d) = 0. What is d?
-5
Let h(b) be the first derivative of b**7/21 - b**6/15 - 3*b**5/10 + b**4/6 + 2*b**3/3 + 8*b - 10. Let f(d) be the first derivative of h(d). Factor f(r).
2*r*(r - 2)*(r - 1)*(r + 1)**2
Let d(x) be the first derivative of -3*x**6/8 + 21*x**5/20 - 15*x**4/16 + x**3/4 - 67. Solve d(y) = 0 for y.
0, 1/3, 1
Let z(r) = -2*r**2 + 18*r + 23. Let b be z(10). Factor -388 - 2*p**2 - b*p**2 - 90*p - 17.
-5*(p + 9)**2
Let j(p) be the second derivative of p**5/40 - 7*p**4/8 + 49*p**3/4 - 37*p**2/2 - 36*p. Let v(a) be the first derivative of j(a). Factor v(l).
3*(l - 7)**2/2
Let f(r) = -r**3 - 3*r**2 + 2*r + 10. Let s be f(-5). Let p = s - 31. Factor -4*y**3 + 30*y**2 + 12*y + 12 + p*y**3 - 69*y**2.
3*(y - 2)*(y - 1)*(5*y + 2)
Let r(m) be the first derivative of m**4/3 + 8*m**3 + 22*m**2 - 1936*m/3 - 85. Factor r(t).
4*(t - 4)*(t + 11)**2/3
Let s = 910 - 905. Factor 3/5*p**2 + 0*p - 3/5*p**4 + 3/5*p**3 - 3/5*p**s + 0.
-3*p**2*(p - 1)*(p + 1)**2/5
Let 