n(j) be the third derivative of 0*j + 0*j**4 - 1/3*j**l + 1/30*j**5 + 3*j**2 + 0. Factor n(m).
2*(m - 1)*(m + 1)
Suppose 0 = 2*f - a - 6, -5*f + 5*a + 8 = -2. Let u = 49 - 49. Let -3/2*h**f - 3/2*h**3 + 0*h + 0*h**2 + u = 0. What is h?
-1, 0
Let d = 0 - -12. Suppose d*c**2 - 16*c + 10*c**3 - 16 + 14*c**3 - 8*c**3 + 4*c**4 = 0. What is c?
-2, -1, 1
Let t(h) be the third derivative of 1/60*h**5 + 0*h + 1/4*h**4 + 16*h**2 - 7/6*h**3 + 0. Suppose t(z) = 0. Calculate z.
-7, 1
Suppose -23 = -2*y - 2*y + 5*r, -3*r = -y + 11. Let f be (-4)/(-1) + (-5)/5. Factor 0 + 0*p - 2/9*p**f - 4/9*p**y.
-2*p**2*(p + 2)/9
Let n(r) = 3*r - 114. Let y be n(26). Let l be (y/8 + 5)*4/6. Find b such that l*b + 1/6 + 1/6*b**2 = 0.
-1
Let r(g) = -6*g**2 - 3*g + 3. Let h(z) be the first derivative of 5*z**3/3 + 3*z**2/2 - 2*z - 9. Let t(y) = 3*h(y) + 2*r(y). Factor t(j).
3*j*(j + 1)
Suppose 5*w - 67 = -57. Let b(l) be the second derivative of -2/7*l**2 + w*l - 1/42*l**4 + 0 - 1/7*l**3. Find h such that b(h) = 0.
-2, -1
Factor 1/2*m**3 + 0 - 3/2*m**2 + 1/6*m**4 + 5/6*m.
m*(m - 1)**2*(m + 5)/6
Let g(p) be the first derivative of -2*p**3/3 + 7*p**2 - 20*p - 112. Suppose g(k) = 0. Calculate k.
2, 5
Solve 43*f**2 + 48*f**2 + 512 + 113*f - 19*f**2 - 4*f**3 - 237*f - 260*f = 0 for f.
2, 8
Let b = 0 + 4. Suppose 75 = 8*y + 7*y. Find n such that -5*n - 13*n - 24*n**b + 0*n**y + 8*n**5 + 10*n**3 + 4 + 20*n**2 = 0.
-1, 1/2, 1, 2
Suppose -w = -38 - 24. Let c = 65 - w. Factor 1/8*k**4 + 1/2*k + 1/2*k**c + 1/8 + 3/4*k**2.
(k + 1)**4/8
Factor 9/4*v**3 - 6*v + 69/4*v**2 + 0.
3*v*(v + 8)*(3*v - 1)/4
Let c = -5 + 8. Suppose -101*m - 37*m = 0. Factor -2/11*y + 2/11*y**c + 2/11*y**2 + m - 2/11*y**4.
-2*y*(y - 1)**2*(y + 1)/11
Let n(g) be the second derivative of 3*g**5/40 + 5*g**4/8 - 13*g**3/4 + 21*g**2/4 + 4*g + 65. Factor n(i).
3*(i - 1)**2*(i + 7)/2
Let o(g) be the second derivative of 11*g**4/90 + 266*g**3/45 + 16*g**2/5 + 145*g. Let o(i) = 0. Calculate i.
-24, -2/11
Let q(d) be the second derivative of -9*d + 0*d**2 - 1/45*d**3 + 0 + 0*d**6 - 1/315*d**7 + 1/75*d**5 + 0*d**4. Factor q(y).
-2*y*(y - 1)**2*(y + 1)**2/15
Let m = 172/3 + -56. Let z = 209 - 617/3. Let -z*p - m + 14/3*p**2 = 0. What is p?
-2/7, 1
Let j(c) = -29*c**2 - 151*c - 142. Let t(d) = -36*d**2 - 152*d - 141. Let n(w) = 5*j(w) - 4*t(w). Factor n(r).
-(r + 1)*(r + 146)
Let k(u) = 202*u - 1414. Let r be k(7). Suppose 2/3*j**5 - 1/3*j**2 + r + 0*j - 1/2*j**4 - 3/2*j**3 = 0. Calculate j.
-1, -1/4, 0, 2
Let r(s) be the first derivative of 4*s**3/9 - 52*s**2/3 + 676*s/3 - 59. Suppose r(b) = 0. Calculate b.
13
Let o(b) be the second derivative of 1/66*b**4 - 2*b + 0 + 3/11*b**2 + 4/33*b**3. Determine u so that o(u) = 0.
-3, -1
Let d = 12 + -3. Suppose -3*q + 12 = 0, -1 = -z + 2*q - d. Solve 1 + n + z + n**2 + n + 0 = 0.
-1
Let z(w) be the first derivative of -5*w**6/2 - w**5 + 45*w**4/4 - 5*w**3 - 5*w**2 - 50. Determine l, given that z(l) = 0.
-2, -1/3, 0, 1
Let t be -2*(-3)/(-10)*((-44)/(-33) - 2). What is d in 0 - 2/5*d**3 + 2/5*d**2 + t*d - 2/5*d**4 = 0?
-1, 0, 1
Let x(r) = -8*r**4 + 16*r**3 + 180*r**2 + 203*r + 82. Let i(u) = 5*u**4 - 10*u**3 - 120*u**2 - 135*u - 55. Let g(b) = 7*i(b) + 5*x(b). Factor g(q).
-5*(q - 5)*(q + 1)**3
Let k(w) = -3*w**2 - 9*w. Let r(i) = i**3 - i. Let s(m) = -5*k(m) - 5*r(m). Solve s(z) = 0.
-2, 0, 5
Let o(a) be the second derivative of 1/45*a**6 + 0*a**2 - 7/30*a**5 + 11*a + 0 - 4/3*a**3 + 8/9*a**4. Suppose o(s) = 0. What is s?
0, 2, 3
Let 0 + 0*i**2 - 2/5*i**3 + 2/5*i = 0. What is i?
-1, 0, 1
Let d(x) = 98*x + 58*x**2 - 58*x**2 - 293*x - 75 - 120*x**2. Let r(y) = y**2 + y + 1. Let h(c) = -d(c) + 5*r(c). Suppose h(a) = 0. Calculate a.
-4/5
Let x = -665 - -59851/90. Let k(c) be the third derivative of -1/12*c**4 + 0*c + 1/45*c**6 - 6*c**2 + 0*c**3 + x*c**5 + 0. Factor k(b).
2*b*(b + 1)*(4*b - 3)/3
Let q(j) be the second derivative of j**6/24 + j**5/2 + 15*j**4/8 + 10*j**3/3 + 25*j**2/8 - 5*j - 28. What is w in q(w) = 0?
-5, -1
Let v(a) = 10*a - 72. Let s be v(7). Let c be (1/(s/(-9)))/((-12)/(-4)). Factor c*d**5 - 9/2*d**4 + 0 + 9/2*d**3 + 0*d - 3/2*d**2.
3*d**2*(d - 1)**3/2
Let b = -777 + 779. Factor 0 + 6/7*v + 3/7*v**b.
3*v*(v + 2)/7
Let l(m) be the third derivative of m**6/20 - m**5/10 - 7*m**4/16 - m**3/2 + 39*m**2. Factor l(c).
3*(c - 2)*(2*c + 1)**2/2
Let c(r) = r**3 + 1. Let o be c(1). Let u be (-6)/(-15)*-1*-5. Factor o*y**4 + 24*y + 8 + 15*y**2 + 12*y**3 + 11*y**u + 0*y**2.
2*(y + 1)**2*(y + 2)**2
Solve -4/5*a + 23/5*a**2 - 6*a**3 - 9/5*a**4 + 0 = 0.
-4, 0, 1/3
Suppose -5*o + 9 + 17 = 8*o. Determine m so that 6/7 + 27/7*m**3 + 36/7*m**o - 33/7*m = 0.
-2, 1/3
Let c = -1/6606 + 245/2202. Factor 1/3*t**3 + 2/9 - 1/3*t - c*t**2 - 1/9*t**4.
-(t - 2)*(t - 1)**2*(t + 1)/9
Let 11/2*f**2 + 23/3*f**3 - 57/4*f + 7/6*f**4 - 1/12*f**5 + 0 = 0. Calculate f.
-3, 0, 1, 19
Determine z so that -55*z**4 + 10*z**4 - 11*z**2 - 49*z**2 - 76*z**3 - 8*z + 21*z**4 = 0.
-2, -1, -1/6, 0
Suppose -3/4*k**4 + 9/4*k**2 + 3/4*k**3 - 3/2 - 3/4*k = 0. What is k?
-1, 1, 2
Let c(g) be the first derivative of -g**5/4 + 29*g**4/16 - 13*g**3/4 + 11*g**2/8 + g - 119. Let c(w) = 0. What is w?
-1/5, 1, 4
Let i = -52 + 45. Let q(g) = -g**3 - 6*g**2 + 6*g - 5. Let v be q(i). Factor -10/3*s**4 - v*s**3 + 0 + 2/3*s**2 - 4/3*s**5 + 2/3*s.
-2*s*(s + 1)**3*(2*s - 1)/3
Let k be 21/42 - (-2)/(-8). Let -3/4*q - q**2 - k*q**3 + 0 = 0. Calculate q.
-3, -1, 0
Suppose 0 = -2*f - 668 + 668. Let k be (0 - 2)*(-2)/2. Factor 4/15*x - 2/15*x**k + f.
-2*x*(x - 2)/15
Let k(l) = -1. Let m = -2 + 0. Let n(c) = 2 + 582*c - 293*c + 72*c**2 - 162*c**3 - 297*c. Let h(q) = m*k(q) - n(q). Let h(d) = 0. What is d?
0, 2/9
Let a(l) be the third derivative of -l**7/280 + 3*l**5/40 - l**4/4 + 3*l**3/8 + 4*l**2 - 6. What is b in a(b) = 0?
-3, 1
Factor 12/19*h**4 + 0 + 0*h + 0*h**2 - 2/19*h**5 - 18/19*h**3.
-2*h**3*(h - 3)**2/19
Let d(b) be the second derivative of b**8/10080 + b**7/3780 - b**6/1080 - b**5/180 - 7*b**4/12 + 4*b. Let r(n) be the third derivative of d(n). Factor r(q).
2*(q - 1)*(q + 1)**2/3
Suppose 0 = 5*t + 16*t - 42. Let z = t - -1. What is b in -z + 2*b - 1/3*b**2 = 0?
3
Let i(w) be the second derivative of -1/66*w**4 + 0*w**2 - 4/33*w**3 - 15*w + 0. Factor i(q).
-2*q*(q + 4)/11
Let r be -5*2/(-5) + 0/(-1). Solve -5*s**r - 74*s**4 + 124*s**4 - 5*s**5 - 65*s**4 - 15*s**3 = 0.
-1, 0
Let q(t) = 27*t**3 + 102*t**2 - 159*t + 36. Let x(p) = 56*p**3 + 205*p**2 - 319*p + 72. Let c(h) = 7*q(h) - 3*x(h). Factor c(r).
3*(r - 1)*(r + 6)*(7*r - 2)
Let j = 885 - 247799/280. Let x(v) be the third derivative of -1/40*v**5 + 1/8*v**3 + 0*v - 1/448*v**8 - 1/32*v**4 + v**2 + j*v**7 + 1/80*v**6 + 0. Factor x(l).
-3*(l - 1)**3*(l + 1)**2/4
Let g be ((-2)/4)/(6/(-48)). Suppose 16*j**2 - g*j - 6 + 8*j**2 + 9*j**2 + 42*j**3 - 11*j = 0. Calculate j.
-1, -2/7, 1/2
Let f(d) be the second derivative of d**8/2240 - d**7/140 + 3*d**6/80 - 19*d**4/12 + 7*d. Let q(h) be the third derivative of f(h). Let q(j) = 0. What is j?
0, 3
Let u(c) = -4*c**3 - 2*c**2 - c. Let f be u(-1). Let w be 3 - (f - 12/2). Factor -d**2 - w + d + 4 + 2.
-d*(d - 1)
Let b = 701 - 699. Let r(v) be the second derivative of v**2 + 1/6*v**3 - 1/4*v**4 - 1/20*v**5 - b*v + 0 + 1/30*v**6. Factor r(d).
(d - 2)*(d - 1)*(d + 1)**2
Let v(f) be the third derivative of 0 + 0*f + 1/10*f**5 + 1/6*f**3 + 1/30*f**6 - 5*f**2 + 1/210*f**7 + 1/6*f**4. Find z such that v(z) = 0.
-1
Let k(d) be the first derivative of -d**4/16 - d**3/8 + 9*d**2/4 - 30*d + 27. Let c(u) be the first derivative of k(u). Find l, given that c(l) = 0.
-3, 2
Let v(f) be the first derivative of -f**5 - 25*f**4/2 - 85*f**3/3 - 20*f**2 + 58. Suppose v(c) = 0. Calculate c.
-8, -1, 0
Factor 0 - 4/5*f**2 - 12/5*f.
-4*f*(f + 3)/5
Let b be ((-80)/(-56) + -2)*-7. Find x such that 0 + 1/4*x**b + 1/2*x - 1/2*x**3 - 1/4*x**2 = 0.
-1, 0, 1, 2
Let j be 3/(-9)*(-4 + 1). Let g(u) be the first derivative of 0*u + 1/17*u**4 + 0*u**3 + 0*u**2 - j - 6/85*u**5. Factor g(q).
-2*q**3*(3*q - 2)/17
Let k(u) be the third derivative of -u**7/5040 - u**6/1080 + u**5/720 + u**4/72 - 13*u**3/6 - 2*u**2. Let m(v) be the first derivative of k(v). Factor m(q).
-(q - 1)*(q + 1)*(q + 2)/6
Let m(n) be the second derivative of n**6/270 + 13*n**5/45 + 121*n**4/18 + 650*n**3/27 