 d(w) = 0. Calculate w.
-1, -1/4, 27
Suppose -381*p = -380*p - 4. Determine f so that -13/2*f**3 - 1/2*f**5 + 0 - 3*f**p - 2*f - 6*f**2 = 0.
-2, -1, 0
Let i(n) be the second derivative of n**4/6 - 59*n**3/3 + 7*n - 1. Factor i(d).
2*d*(d - 59)
Let c(m) be the first derivative of m**6/4 - 3*m**5/5 + m**3 - 3*m**2/4 + 186. Factor c(t).
3*t*(t - 1)**3*(t + 1)/2
Solve -3/2*n**3 - 15/2*n**2 + 0 + 21*n = 0 for n.
-7, 0, 2
Factor -6 + 3*b**2 + 7*b - 12*b + 6*b - 4*b.
3*(b - 2)*(b + 1)
Let r = 3584 + -28671/8. Factor 3/8*d**2 + 1/8 - 3/8*d - r*d**3.
-(d - 1)**3/8
Let d = 6931/7 + -989. Determine a so that -18*a**4 - d*a**2 + 64/7*a**3 + 0*a + 0 = 0.
0, 2/9, 2/7
Solve 14/11*f**3 - 2/11*f**2 + 2/11*f**4 + 0 - 2/11*f**5 - 12/11*f = 0.
-2, -1, 0, 1, 3
What is x in 3*x**2 + 6*x**3 + 0 + 3/2*x**5 + 1/2*x + 5*x**4 = 0?
-1, -1/3, 0
Let k(l) = -3*l - 13. Let d be k(-8). Let -4*t**4 - 32*t + d + 8*t**3 + 12*t**2 - 3 + 8 = 0. What is t?
-2, 1, 2
Let d be 2/6 + 88/24. Suppose 3*k**2 - k**2 - 2*k**4 - 6*k**3 + d*k + 0*k**3 + 2*k**3 = 0. What is k?
-2, -1, 0, 1
Let t(x) be the third derivative of 1/735*x**7 + 1/840*x**6 + 1/2352*x**8 + 0*x - 2*x**2 + 0*x**3 + 0*x**4 + 0*x**5 + 0. Factor t(i).
i**3*(i + 1)**2/7
Let l(h) = -4*h**2 + 9*h + 48. Let u be l(-6). Let z = -1948/13 - u. Factor z*s**4 - 2/13*s**3 + 8/13*s - 8/13*s**2 + 0.
2*s*(s - 2)*(s - 1)*(s + 2)/13
Let g = 8653/4 - 2163. Determine h, given that 25/4*h**3 + 2 + 2*h**4 + g*h**5 + 19/2*h**2 + 7*h = 0.
-2, -1
Suppose 2*m + 4*g - 6 = 0, 4*g = 3*m + m - 12. Let t(b) be the first derivative of 0*b + 3/4*b**4 - 3/2*b**2 + b**m + 4 - 3/5*b**5. Factor t(l).
-3*l*(l - 1)**2*(l + 1)
Factor 3/4*l**2 + 3*l + 0.
3*l*(l + 4)/4
Let b(m) be the third derivative of m**7/1155 + 2*m**6/165 + 2*m**5/33 + 4*m**4/33 - 74*m**2 - 3. Factor b(x).
2*x*(x + 2)**2*(x + 4)/11
Let c(b) be the second derivative of 1/4*b**4 - 3/2*b**2 + 51*b + 0*b**3 + 0. Solve c(z) = 0.
-1, 1
Let q(x) = 1. Let m(y) = -y**2 - 5*y + 3. Let j(a) = m(a) - 3*q(a). Let p be j(-5). Factor 1/6*h**2 + 0*h + p - 1/6*h**3.
-h**2*(h - 1)/6
Let k(b) be the first derivative of -b**4/20 - 14*b**3/15 - 42. Suppose k(z) = 0. What is z?
-14, 0
Let w = -2596/3 + 868. Let c(h) = -h**2 - h. Let r be c(0). Suppose 4*m**3 + 2/3*m**5 - 8/3*m**2 - w*m**4 + r + 2/3*m = 0. What is m?
0, 1
Let f(d) be the first derivative of 2*d**5/35 - 5*d**4/7 + 16*d**3/7 - 22*d**2/7 + 2*d + 243. Suppose f(g) = 0. What is g?
1, 7
Let f = 15 - 10. Suppose -d - 2 = 0, 3*d = 2*a - f*a. Factor -n**2 - 3*n**2 - n**3 + 4*n**a.
-n**3
Let v be (-1003)/(-5) + 36/(-60). Suppose -5*q + 3*q + v = 0. Factor -q*b**2 + 37*b**4 - 57*b**4 - 6*b - 14*b - 85*b**3.
-5*b*(b + 2)**2*(4*b + 1)
Let f(h) be the second derivative of -h**10/226800 + h**8/50400 + h**4 + 2*h. Let x(a) be the third derivative of f(a). Let x(n) = 0. Calculate n.
-1, 0, 1
Suppose -29 - 5 = -2*d. Let m(l) = -30*l - 266. Let s be m(-9). Factor 6*h**2 + 4*h**4 + d*h**3 + 10*h**s + 4*h**3 - 12*h**5 - 2*h**4.
-3*h**2*(h - 2)*(2*h + 1)**2
Let k(q) be the third derivative of 0*q + 0 - 7*q**2 - 3/32*q**4 - 9/16*q**3 - 1/160*q**5. Factor k(i).
-3*(i + 3)**2/8
Let s be 77/((-2110108)/(-43368)) - (-2)/31. Factor 98/17*o**3 + 2/17*o**5 + s*o**4 + 0*o**2 + 0 + 0*o.
2*o**3*(o + 7)**2/17
Let f be 0 - (-11)/((-55)/20)*-1. Let j(x) be the second derivative of 0*x**f + 0*x**2 + 0*x**3 - 1/100*x**5 - 1/210*x**7 - 1/75*x**6 + 0 + 3*x. Solve j(y) = 0.
-1, 0
Let w(a) be the first derivative of -a**6/3 + 4*a**5/5 + 3*a**4/2 - 13. Let w(u) = 0. What is u?
-1, 0, 3
Suppose 0 = -j + 4*s + 1 - 15, -3*s = 2*j - 16. Factor 3*t + 0*t**j - 7*t**2 + 5*t**2 - t.
-2*t*(t - 1)
Let n(x) be the second derivative of x**4/108 + 160*x**3/27 + 12800*x**2/9 + 37*x - 9. Factor n(j).
(j + 160)**2/9
Let j be (-95)/(-10) + (-1 - -2). Suppose 2*a = -3*y + 21, -5*a - 8*y + 6*y + 25 = 0. Find f, given that -21/2*f**3 + j*f + 3*f**2 - a = 0.
-1, 2/7, 1
Let n(j) be the third derivative of -j**5/30 + 133*j**4/6 - 17689*j**3/3 - j**2 + 492. Factor n(h).
-2*(h - 133)**2
Let g(v) = -2*v - 2. Let w be -1*2*6/4. Let f be g(w). Find a, given that -1 + a + 1/4*a**f - a**3 + 3/4*a**2 = 0.
-1, 1, 2
Suppose 7 = q + 5*d, -d - 2*d + 45 = 3*q. Suppose -16*x - 2 = -q*x. Factor -4/5*b - 2/5 - 2/5*b**x.
-2*(b + 1)**2/5
Let v(l) be the third derivative of -18*l**2 + 1/231*l**7 - 8/33*l**3 - 13/110*l**5 - 2/165*l**6 + 0 - 17/66*l**4 + 0*l. Find j such that v(j) = 0.
-1, -2/5, 4
Let n(m) be the second derivative of -4/7*m**2 + 11*m + 0 + 4/21*m**3 - 1/42*m**4. What is v in n(v) = 0?
2
Factor -499*h**2 - 36*h**3 + 499*h**2 + 4*h**5.
4*h**3*(h - 3)*(h + 3)
Suppose -3*v = -6, 2*v = 2*x + 5*v - 12. Let p be (-20)/(-6)*132/110. Factor -4*s**4 - 3*s**3 + x*s + 7*s**4 - s**p + 3*s**2 - 5*s**4.
-3*s*(s - 1)*(s + 1)**2
Let p(y) be the second derivative of y**4/132 + y**3/22 + y**2/11 + 28*y. Determine w so that p(w) = 0.
-2, -1
Let o be (1 + 3)*(-87)/(-406). Factor -o*z**3 + 10/7*z**2 - 4/7*z + 2/7*z**5 - 2/7*z**4 + 0.
2*z*(z - 1)**3*(z + 2)/7
Let t(s) = s**3 + 5*s**2 - 4*s + 1. Let k be t(-6). Let a be k/(-3) - 5/((-15)/(-9)). Factor -g + a + 1/3*g**2.
(g - 2)*(g - 1)/3
Let d(z) = z**3 + z**2 + z + 1. Let x(k) = -7 + 16*k - 12*k**3 - 13*k**2 + 5*k**2 - 23*k + 4*k**3. Let i(j) = -21*d(j) - 3*x(j). Suppose i(v) = 0. Calculate v.
-1, 0
Suppose -25 = 5*c, -223*s + 227*s + 17 = -5*c. Factor 0 + 0*n + 2/9*n**4 + 32/9*n**s - 16/9*n**3.
2*n**2*(n - 4)**2/9
Find u such that 12 - 42*u - 4*u - 16*u**3 - 92*u**2 + 72*u = 0.
-6, -1/4, 1/2
Let t(n) be the first derivative of 3*n**5/10 + 9*n**4/4 + 6*n**3 + 6*n**2 - 70. Suppose t(l) = 0. What is l?
-2, 0
Let k(z) be the second derivative of 27*z**6/25 + 414*z**5/25 + 1562*z**4/15 + 5152*z**3/15 + 3136*z**2/5 + 17*z - 16. Let k(u) = 0. What is u?
-28/9, -2
Suppose -2*r + 3*b + 69 = 0, 0 = -3*b - 0*b - 15. Suppose 0 = 4*a - r + 11. Factor 2/5*c**a + 0*c**3 + 0*c + 0 - 2/5*c**2.
2*c**2*(c - 1)*(c + 1)/5
Determine a so that -77 + 4*a**2 + 4*a**3 - 71 + 218 - 70 = 0.
-1, 0
Let o(w) be the second derivative of 1/255*w**6 + 0*w**3 + 0*w**2 + 0*w**5 - 1/102*w**4 + 0 + 25*w. Determine x, given that o(x) = 0.
-1, 0, 1
Determine f, given that -92/3*f + 440/3 - 56/3*f**2 - 4/3*f**3 = 0.
-11, -5, 2
Let i(v) be the first derivative of -v**4/2 - 14*v**3/3 - 7*v**2 + 30*v - 303. Factor i(o).
-2*(o - 1)*(o + 3)*(o + 5)
Let p(t) be the third derivative of 2*t**7/105 - t**6/60 - t**5/5 - t**4/12 + 2*t**3/3 - 433*t**2. What is s in p(s) = 0?
-1, 1/2, 2
Factor -3*l + 117*l + 9*l + 60 + 8*l**2 - 2*l**2.
3*(l + 20)*(2*l + 1)
Let a(g) = 5*g - 11 - 5*g - 2*g. Let u be a(-7). Solve c**3 + 1 - 4*c + 0*c**3 + u - c**2 = 0 for c.
-2, 1, 2
Let -10/3*q**2 - 1 - 1/6*q**5 + 19/6*q + 1/3*q**4 + q**3 = 0. Calculate q.
-3, 1, 2
Factor -b**2 - 13*b**2 + 16*b**3 + 8*b - 30*b**2 + 83*b**4 - 63*b**4.
4*b*(b - 1)*(b + 2)*(5*b - 1)
Factor -1078/17*v - 140/17*v**2 - 38/17*v**4 + 212/17*v**3 - 686/17 + 2/17*v**5.
2*(v - 7)**3*(v + 1)**2/17
Let y(q) be the first derivative of q**3/3 + 9*q**2/2 + 2*q + 8. Let x be y(-9). Factor -13*l**4 + l**3 + x*l**2 - 2*l**3 + 6*l**4 + 6*l**4.
-l**2*(l - 1)*(l + 2)
Suppose -13 = -5*b - q, -2*b + 31*q - 2 = 29*q. Determine p so that 0*p + 0 - 1/6*p**3 + 1/3*p**b = 0.
0, 2
Let k = -107 + 75. Let l = -30 - k. Factor -1/3*o**l + 0 - 2/3*o.
-o*(o + 2)/3
Let i = 719/7 + -715/7. Let 16/7 + i*m**2 + 20/7*m = 0. What is m?
-4, -1
Let n(k) be the second derivative of k**6/40 + 3*k**5/8 - k**4/4 - 77*k**3/4 + 441*k**2/8 - 106*k. Factor n(d).
3*(d - 3)*(d - 1)*(d + 7)**2/4
Let m(o) = -3*o**4 - 16*o**3 + 71*o**2 - 54*o + 2. Let j(r) = 15*r**4 + 79*r**3 - 353*r**2 + 270*r - 11. Let y(n) = 2*j(n) + 11*m(n). Let y(k) = 0. Calculate k.
-9, 0, 1, 2
Let s be 36/15 + 6/(-15). Let j = 41/70 + 3/14. Factor 0 - 2/5*c**s + j*c.
-2*c*(c - 2)/5
Let v(m) = m**3 - 7*m**2 + 13*m - 12. Let j be v(5). What is x in -16*x**4 - 139 + 4*x**5 + 4*x**j - 20*x + 12*x**3 + 147 + 8*x**2 = 0?
-1, 1, 2
Let h(s) be the first derivative of -s**3/9 + 37*s**2/6 + 26*s + 632. Solve h(r) = 0 for r.
-2, 39
Let p(z) be the first derivative of z**6/6 - 2*z**5/5 - 9*z**4/2 - 32*z**3/3 - 23*z**2/2 - 6*z - 109. Suppose p(f) = 0. Calculate f.
-1, 6
Suppose 4*t = 16, -192*d + 7 = -195*d + 4*t. Suppose 9/2*a - 3/4*a**d + 6 - 9/4*a**2 = 0. Calcul