or 117*j**2 - 26*j**5 + 30*j**5 + 116*j**2 + 91*j**c + 76*j**4 + 396*j**3.
4*j**2*(j + 1)*(j + 9)**2
Let m(g) = -g**5 + g**4 + g. Let w(n) = -n**5 + n**4 - 5*n**3 - 3*n**2 + 2*n. Let o(x) = -x - 6. Let b be o(-7). Let z(t) = b*w(t) - 2*m(t). Factor z(s).
s**2*(s - 3)*(s + 1)**2
Let p = -119/66 - -3/22. Let g = -4/3 - p. Determine v, given that g + 1/3*v**2 - 2/3*v = 0.
1
Let u(f) be the third derivative of -1/30*f**6 + 0*f + 4/3*f**3 - 5/6*f**4 + 16*f**2 + 4/15*f**5 + 0. Suppose u(a) = 0. What is a?
1, 2
Suppose -4*m - 96 = -104. Factor -39*x**2 + 6*x - 4*x**4 + 35*x**m - 56*x**2 + 30*x + 28*x**3.
-4*x*(x - 3)**2*(x - 1)
Let z(b) be the second derivative of 23/20*b**5 - 13*b - 11/60*b**6 + 27/4*b**3 - 15/4*b**4 + 0 + 1/84*b**7 - 27/4*b**2. Factor z(n).
(n - 3)**3*(n - 1)**2/2
Suppose 60*q - 93 = 29*q. Suppose 0 + 2/3*u**4 - 2/9*u + 2/9*u**2 + 10/9*u**q = 0. Calculate u.
-1, 0, 1/3
Let y(z) be the third derivative of z**9/362880 - z**8/120960 + z**5/4 - 20*z**2. Let c(u) be the third derivative of y(u). Factor c(x).
x**2*(x - 1)/6
Let o = 27572 - 27569. Solve 2*k**2 + 4/3*k**o + 1/3*k**5 - 5/3*k + 0 - 2*k**4 = 0.
-1, 0, 1, 5
Determine n, given that -6/7 + 30/7*n - 48/7*n**2 + 24/7*n**3 = 0.
1/2, 1
Let v be (0/(-3))/(2*11/(-22)). Let c(j) be the second derivative of v*j**5 + 1/18*j**3 + 0*j**2 - 1/180*j**6 - 7*j + 0 + 1/24*j**4. Factor c(x).
-x*(x - 2)*(x + 1)**2/6
Let w(f) = f**3 + 1. Let d(n) = 5*n + 3*n**2 + 3*n - 3*n**3 + 2*n**2 + 0*n. Let r(v) = 3*d(v) + 12*w(v). Factor r(b).
3*(b + 1)*(b + 2)**2
Let a = 16592/7 + -33093/14. Let 3/2*n**4 + 8*n**2 + 2*n + 0 + a*n**3 = 0. What is n?
-2, -1/3, 0
Suppose 0 = -11*m - 1 + 56. Suppose 0 = 2*q + 4*w - 16, 0 = 5*q - 4*w - w + m. Suppose 19/5*k**3 - 8/5*k**q + 1/5*k + 0 - 12/5*k**4 = 0. What is k?
0, 1/4, 1/3, 1
Let r(b) = -5*b + 851*b**2 - 425*b**2 - 421*b**2. Suppose -3*d + d = -10. Let f(n) = -3*n**2 + 3*n. Let w(t) = d*r(t) + 8*f(t). What is k in w(k) = 0?
0, 1
Let l(o) be the second derivative of 3*o**5/40 + 15*o**4/16 + 17*o**3/4 + 9*o**2 + 566*o. Find x, given that l(x) = 0.
-4, -2, -3/2
Factor -26*g + 23*g - 359*g**2 + 347*g**2.
-3*g*(4*g + 1)
Solve -1041/2*w + 15/2*w**2 + 207 = 0 for w.
2/5, 69
Let t = 12260/73 + -168. Let y = t - -182/657. Factor 4/9 + 2/9*f - 4/9*f**2 - y*f**3.
-2*(f - 1)*(f + 1)*(f + 2)/9
Let s = -125 + 125. Let k(o) be the second derivative of 0*o**2 + 1/42*o**7 + 1/30*o**6 - 5*o + 0*o**3 + 0 + 0*o**5 + s*o**4. What is d in k(d) = 0?
-1, 0
Let u(x) = -x**5 + 2*x**4 + x**3 - x**2 + x. Let r(y) = -5*y**5 - 35*y**4 - 103*y**3 + 145*y**2 + 2*y. Let o(n) = -r(n) + 2*u(n). Solve o(q) = 0.
-7, 0, 1
Suppose 34*z**2 + 10*z - 2*z + 2*z**3 - 44*z**2 = 0. Calculate z.
0, 1, 4
Let z(v) be the third derivative of v**5/24 - 5*v**4/6 + 5*v**3 - 19*v**2. Factor z(j).
5*(j - 6)*(j - 2)/2
Suppose 8*i = 6*i - 2. Let s be ((-2)/i)/(2 - (0 - -1)). Let 5/3*d**s + 2/3*d - d**5 - 5/3*d**4 + 0 + 1/3*d**3 = 0. Calculate d.
-1, -2/3, 0, 1
Find f, given that -4/7*f**2 + 60/7 + 8*f = 0.
-1, 15
Let f(z) = z**2 - z. Let g = -23 + 12. Let x = -29 - g. Let o(t) = t**3 - 10*t**2 + 8*t + 1. Let m(u) = x*f(u) - 2*o(u). Factor m(s).
-2*(s - 1)**2*(s + 1)
Let a(g) = -g**2 - g + 1. Let t(v) = -2 - 6*v**3 + 9*v**2 + 22*v + 9*v**2 - 28*v. Let o(y) = -4*a(y) - t(y). Factor o(h).
2*(h - 1)**2*(3*h - 1)
Let b(c) be the second derivative of c**6/75 + c**5/5 + 5*c**4/6 + 512*c. Factor b(a).
2*a**2*(a + 5)**2/5
Factor 3/4*w**5 - 39*w**2 - 15/2*w**3 + 9/4*w**4 - 54*w - 24.
3*(w - 4)*(w + 1)*(w + 2)**3/4
Let i(h) be the third derivative of 0*h + 0*h**3 + 0 + 6*h**2 - 1/56*h**4 - 1/140*h**5. Factor i(r).
-3*r*(r + 1)/7
Let x(d) = -d**3 + 25*d**2 - 58*d - 174. Let b be x(22). Suppose -2 + 8/3*t - 2/3*t**b = 0. What is t?
1, 3
Suppose -2*d = 5*d - 56. Suppose -2*g - 18 = -d*g. Factor 3*y - 3*y**2 + 0 + 278*y**g - 281*y**3 + 3.
-3*(y - 1)*(y + 1)**2
Let j(y) be the third derivative of 15/2*y**3 + 1/24*y**6 + 0 - 20*y + y**2 + 25/8*y**4 + 7/12*y**5. Let j(u) = 0. What is u?
-3, -1
Let n(t) be the second derivative of -1/48*t**4 + 0 + 0*t**2 + 1/24*t**3 + 10*t. Solve n(d) = 0.
0, 1
Factor 0 + 0*x - 2/3*x**3 + 2/3*x**2.
-2*x**2*(x - 1)/3
Let t(q) be the second derivative of 0 - 8*q + 1/48*q**4 + 1/24*q**3 - 1/4*q**2. Factor t(r).
(r - 1)*(r + 2)/4
Suppose 48*r + 15 = 53*r. Suppose 7*l + 12*l**5 - 12*l**2 + 39*l**3 - 7*l - 42*l**4 + r*l**5 = 0. Calculate l.
0, 4/5, 1
Let x = 10228663475 - 114990634712311/11242. Let v = x + -5/1022. Factor -16/11 - 60/11*b**2 + v*b + 14/11*b**3.
2*(b - 2)**2*(7*b - 2)/11
Let h(q) be the first derivative of -2*q**5/25 - q**4/8 + 19*q**3/30 - 7*q**2/20 - 3*q/10 - 19. Find t such that h(t) = 0.
-3, -1/4, 1
Let u(c) be the third derivative of -c**6/660 + 4*c**5/33 - 149*c**2. Solve u(q) = 0.
0, 40
Let r(n) be the first derivative of -2/5*n - 3/5*n**2 - 2/5*n**3 - 17 - 1/10*n**4. Factor r(a).
-2*(a + 1)**3/5
Let m be -111 + 6*2/(-4). Let z = -796/7 - m. Factor 0 - z*u + 2/7*u**2.
2*u*(u - 1)/7
Let 1/4*k**4 + 5/4*k**3 - 3/2 - 5/4*k + 5/4*k**2 = 0. Calculate k.
-3, -2, -1, 1
Suppose g + 72 = 2*g. Factor -590*v**2 - g*v**3 - 38*v**3 - 125*v - 120*v + 60*v**4 + 170*v**2 - 5*v**5.
-5*v*(v - 7)**2*(v + 1)**2
Suppose -13 = -o - 2*k - 7, -2 = -4*o + 3*k. Let p(m) be the first derivative of -1/6*m**3 + 0*m**o - 1/8*m**4 + 0*m + 4. Let p(x) = 0. What is x?
-1, 0
Let q(p) be the third derivative of -9*p**6/40 + 13*p**5/20 - 5*p**4/9 + 2*p**3/9 - 5*p**2 - 30. Factor q(x).
-(x - 1)*(9*x - 2)**2/3
Let g(f) be the third derivative of -f**7/135 + 2*f**6/27 - 17*f**5/90 + 5*f**4/54 + 8*f**3/27 + 89*f**2. Suppose g(j) = 0. Calculate j.
-2/7, 1, 4
Let t(x) be the third derivative of -x**7/42 + x**6/12 + 7*x**5/12 - 25*x**4/6 + 10*x**3 + 15*x**2 - 13. Let t(y) = 0. Calculate y.
-3, 1, 2
Let h(g) = g**3 - 16*g**2 + 15*g + 5. Let f be h(15). Suppose 0 = q - 1, -9 - f = -3*a - 5*q. Suppose 1/3*w**2 + 1/3*w**a + 0 + 0*w = 0. Calculate w.
-1, 0
Let h(b) be the first derivative of 32/13*b - 8/13*b**2 + 2/39*b**3 + 2. Suppose h(p) = 0. Calculate p.
4
Let w = -1349/4 - -339. Let r = 473/620 - 2/155. Let -5/4*c**2 + w*c - r + 1/4*c**3 = 0. Calculate c.
1, 3
Suppose 4*m = 2*g, 8*m = 4*m. Factor 0*l + 0 + 1/5*l**3 - 1/5*l**5 + g*l**4 + 0*l**2.
-l**3*(l - 1)*(l + 1)/5
Suppose -63*d - 70 = -93 - 166. Solve -7/2*g**3 + 0 + d*g + 19/2*g**2 = 0.
-2/7, 0, 3
Suppose 2/3 - 1/9*w**2 + 1/9*w = 0. What is w?
-2, 3
Let r(b) be the first derivative of 4*b**3/21 - 128*b**2/7 + 4096*b/7 - 83. Factor r(q).
4*(q - 32)**2/7
Factor 10*c**2 - 2*c**2 + 10*c**3 - 14*c - 6*c - 6*c**3 - 24.
4*(c - 2)*(c + 1)*(c + 3)
Let t = 116 - 132. Let a be (-5)/20 + (-12)/t. Factor y**2 - a*y - 1/2*y**3 + 0.
-y*(y - 1)**2/2
Suppose 444*f - 10*f**2 + 144500 + 3*f**2 + 1690*f + 12*f**2 - 434*f = 0. Calculate f.
-170
Suppose -2*b = -5*f + 35, -4*f + 5*f = 4*b + 25. Let q(p) be the first derivative of 1 + 0*p**3 - 3/5*p**f + 0*p - 3/2*p**4 + 0*p**2. Factor q(z).
-3*z**3*(z + 2)
Let s(f) be the second derivative of f**10/10080 - f**9/2520 + f**8/2240 + f**4/6 + 9*f. Let h(c) be the third derivative of s(c). Solve h(w) = 0 for w.
0, 1
Let c(z) be the second derivative of 35/6*z**3 + 10*z + 0 - 5/3*z**4 + 5*z**2. Let c(n) = 0. What is n?
-1/4, 2
Let h(v) be the first derivative of 1/2*v**2 + 2/3*v + 15 - 1/4*v**4 - 1/15*v**5 - 1/9*v**3. Factor h(n).
-(n - 1)*(n + 1)**2*(n + 2)/3
Suppose -2*w - w = -6. Suppose -w + 14 = o. What is s in -s**5 + 4*s**2 + o*s**4 + 12*s**3 + 8*s**5 - 3*s**5 = 0?
-1, 0
Let m = 766 - 764. Let r(n) be the third derivative of -1/1344*n**8 + 0*n**5 + 0*n**3 + 0*n**4 - 1/420*n**7 + 0*n - 1/480*n**6 + 9*n**m + 0. Factor r(g).
-g**3*(g + 1)**2/4
Suppose -3*y = g - 22, -5*g - 29 = -7*g - 3*y. Let q(b) be the second derivative of -1/36*b**4 + 1/18*b**3 - 1/60*b**5 + g*b + 1/6*b**2 + 0. Solve q(o) = 0.
-1, 1
Determine m so that 1/2*m + 1/2*m**2 - 1 = 0.
-2, 1
Suppose -2*h = -4*l + 8, -h - 4*l + 18 = 2*h. Factor -4*b + 5*b**h - 2*b - 6*b**4 + 10*b**3 + b**4 - 4*b.
-5*b*(b - 2)*(b - 1)*(b + 1)
Let z = -1 - -3. Suppose -2*x + 19 - 13 = 0. Factor -6*k**z + 5 + 8*k**2 + x + 8*k.
2*(k + 2)**2
Let b(y) be the second derivative of -y**4/30 - 2*y**3/5 + 7*y**2/5 + 426*y. Factor b(t).
-2*(t - 1)*(t + 7)/5
Suppose 8*f - 564 = -564. Factor f - 2/9*i - 4/9*i**2 - 