0*z**4 + 0*z + 2/7*z**5 + 0.
2*z**2*(z - 2)*(z + 1)**2/7
Let y(j) be the second derivative of j**6/360 - j**5/300 - 2*j**3/3 + 5*j. Let l(s) be the second derivative of y(s). What is c in l(c) = 0?
0, 2/5
Let u(i) = i**2 - 47*i + 132. Let l be u(44). Let b(h) be the first derivative of 1/6*h**4 + 0*h**2 - 1/15*h**5 + 3 + l*h - 1/9*h**3. Solve b(q) = 0.
0, 1
Let d(f) = 26*f + 286. Let i be d(-11). Let w(o) be the first derivative of -1/10*o**2 + 7/25*o**5 - 1/15*o**6 + i*o - 9/20*o**4 + 1/3*o**3 + 10. Factor w(r).
-r*(r - 1)**3*(2*r - 1)/5
Let y = -5 - -9. Let o be 6/y - 60/(-24). Let 0*h**2 + 4*h**2 - 13*h**3 - o*h**5 - 4*h**4 + 17*h**3 = 0. What is h?
-1, 0, 1
Let p(y) be the first derivative of -3*y**4/2 - 38*y**3/21 + 2*y**2/7 + 28. Find q such that p(q) = 0.
-1, 0, 2/21
Factor 4/7*j**5 + 0 + 0*j - 20/7*j**4 + 0*j**2 + 16/7*j**3.
4*j**3*(j - 4)*(j - 1)/7
Let v(w) be the second derivative of -11/5*w**5 + 17*w + 4*w**2 - 2/3*w**4 + 0 + 22/3*w**3. Factor v(t).
-4*(t - 1)*(t + 1)*(11*t + 2)
Let f(m) be the third derivative of m**6/1620 + m**5/540 - 3*m**3/2 - 7*m**2. Let d(k) be the first derivative of f(k). What is h in d(h) = 0?
-1, 0
Let f be 7 - (-2 + (-75)/45). Let k be (85/45)/((-1)/(-12)). Let 14/3*q**5 + f*q**2 - 4/3 - 2/3*q + 52/3*q**4 + k*q**3 = 0. What is q?
-1, 2/7
Let z be ((-6)/9)/(0 + 238/(-42)). Factor -2/17 - 2/17*y + 2/17*y**2 + z*y**3.
2*(y - 1)*(y + 1)**2/17
Solve 0 + 2*t - 5/3*t**2 - 1/3*t**3 = 0 for t.
-6, 0, 1
Let x(o) = 4*o**2 + 5*o + 5. Let l be x(-1). Let q(k) be the first derivative of 2/15*k**3 - 1/10*k**l + 0*k - 2 + 0*k**2. Factor q(h).
-2*h**2*(h - 1)/5
Let h(r) = r**3 + 10*r**2 - 7*r - 6. Let k be h(-10). Let u = k + -64. Find i, given that -4/3*i**3 + 0 + 0*i**4 + 2/3*i**5 + 2/3*i + u*i**2 = 0.
-1, 0, 1
Suppose 4*f - 7*f + 57 = 0. Suppose f + 1 = 5*w. Factor -5*s**3 + 15*s**3 - 25*s**w + 7*s**4 - 2*s**2 + 2*s**3.
-2*s**2*(3*s - 1)**2
Determine j so that 8*j**4 + 0 - 2*j + 7/2*j**5 - 8*j**2 - 3/2*j**3 = 0.
-2, -1, -2/7, 0, 1
Let d(m) be the first derivative of -8/21*m**3 + 8/35*m**5 + 0*m**4 + 2/21*m**6 + 10 + 0*m - 2/7*m**2. Suppose d(t) = 0. What is t?
-1, 0, 1
Let p(k) be the third derivative of -k**8/90720 + k**7/5670 - 11*k**5/60 - 2*k**2. Let f(m) be the third derivative of p(m). Factor f(z).
-2*z*(z - 4)/9
Suppose -5*m + 12 = d, -4 = 3*m - 166*d + 161*d. Solve -1/3*t**2 - 5/3*t - m = 0 for t.
-3, -2
Let t = 3057 - 3055. Solve 1/9*y**t - 1/9*y**3 - 1/9 + 1/9*y = 0.
-1, 1
Let h(t) = -2*t**2. Let m(v) = -38*v**2 + 38*v + 12. Let q(l) = 12*h(l) - m(l). Factor q(x).
2*(x - 3)*(7*x + 2)
Let x(m) be the third derivative of -m**6/60 + m**5/30 + m**4/3 - 4*m**3/3 - 67*m**2. Find g such that x(g) = 0.
-2, 1, 2
Let g be 144/(-108)*3*4/(-8). Determine j so that 0 - 34/11*j**3 - 8/11*j**4 - 32/11*j**g - 6/11*j = 0.
-3, -1, -1/4, 0
Suppose -4*g = -0*g - 29*g. Solve 0 + g*f - 1/5*f**5 + 2/5*f**4 - 1/5*f**3 + 0*f**2 = 0.
0, 1
Let o = -155 - 90. Let z = 245 + o. Factor 0*h + z + 3/2*h**3 + 15/4*h**4 - 9/4*h**2 - 3*h**5.
-3*h**2*(h - 1)**2*(4*h + 3)/4
Factor -1/3*b + 5/3*b**2 + 0.
b*(5*b - 1)/3
Let z(b) be the second derivative of 1/18*b**4 - 2/9*b**3 + 0 - 1/45*b**6 - 17*b + 0*b**2 + 1/15*b**5. Factor z(u).
-2*u*(u - 2)*(u - 1)*(u + 1)/3
Let o(m) = m**2 - m - 1. Let d(z) = z**3 - 9*z**2 + 11*z + 1. Let w(x) = -3*d(x) - 12*o(x). Determine r so that w(r) = 0.
1, 3
Suppose 10 = s - 33. Solve -11 - v**3 + 12*v**2 - 5*v + 75 - s*v = 0 for v.
4
Let m(x) = -10*x + 21 + 1 + 9*x. Let n be m(15). Factor -n*v - 32*v**3 + 22*v**2 + 3*v + 11*v**4 + 3*v**4.
2*v*(v - 1)**2*(7*v - 2)
Let o(f) = -2*f**3 - f**2 - f. Let j be o(-1). Factor 35*w - 16*w**j - 6*w**3 - 16*w**3 + 6*w**2 + 10 - 13*w**3.
-5*(w - 1)*(w + 1)*(7*w + 2)
Find k such that -12/7*k**2 - 1/7*k**4 - 8/7*k - 6/7*k**3 + 0 = 0.
-2, 0
Factor 0 - 93/8*s + 3/8*s**2.
3*s*(s - 31)/8
Let n(z) be the first derivative of 35*z**3 - 141*z**2/2 + 36*z - 869. Determine l, given that n(l) = 0.
12/35, 1
Suppose -4*m - 5*f = -25, 0 = 4*m + 3*f + 1 - 16. Let n be ((4/(-5))/(11/(-55)))/2. Suppose 5/4*x**n + m*x + 0 = 0. What is x?
0
Let j be (12/2)/(39/26) - -1. Find p such that 20*p**4 - 19*p**5 - 108*p**3 + 16*p + 16*p**2 + 65*p**4 - 9*p**j + 19*p**4 = 0.
-2/7, 0, 1, 2
Let w = 50 - 38. Factor -4*d - 16*d**2 - w*d**3 + 65 - 65.
-4*d*(d + 1)*(3*d + 1)
Let t be -5 + (14/(-49))/(4/(-112)). Factor -6/7*o + 0*o**t + 3/7*o**4 - 9/7*o**2 + 0.
3*o*(o - 2)*(o + 1)**2/7
Factor 2/7*j**2 + 8/7 + 10/7*j.
2*(j + 1)*(j + 4)/7
Let x(f) = 4*f**2 - 2*f - 1. Let h be x(-1). Factor 108 - 220 - h*s**3 + 107 + 5*s + 5*s**2.
-5*(s - 1)**2*(s + 1)
Let u(b) be the first derivative of -1/2*b**3 - 12 - 9/4*b**2 + 0*b. Find a, given that u(a) = 0.
-3, 0
Let h(c) be the second derivative of -c**6/180 - c**5/60 - 2*c**3 - 9*c. Let a(m) be the second derivative of h(m). Find w, given that a(w) = 0.
-1, 0
Let r(j) be the third derivative of -j**7/735 + j**6/42 + 10*j**5/21 - 250*j**4/21 + 763*j**2. What is n in r(n) = 0?
-10, 0, 10
Let a(v) = v**3 + 32*v**2 + 166*v + 1516. Let t be a(-28). Factor -1/2*x**3 + 1/4 + 1/2*x - 1/4*x**t + 0*x**2.
-(x - 1)*(x + 1)**3/4
Let i(j) be the third derivative of -j**8/168 - 11*j**7/105 - 17*j**6/30 - 7*j**5/15 + 35*j**4/12 + 25*j**3/3 + 3*j**2 - 102*j. Suppose i(k) = 0. Calculate k.
-5, -1, 1
Let m(w) be the second derivative of 1/60*w**6 - 5/36*w**3 + 0 - 4*w - 19/72*w**4 - 7/120*w**5 + 1/3*w**2. Factor m(o).
(o - 4)*(o + 1)**2*(3*o - 1)/6
Let a = 194 + -126. Let g = -65 + a. Factor -3/2*c - g*c**2 + 3/2*c**3 + 3.
3*(c - 2)*(c - 1)*(c + 1)/2
Let t be -28 - (-2 - (-21 - -49)). Solve -1/3*g**2 - t*g - 5/3 = 0.
-5, -1
Suppose 3*g - 6*g = -42. Suppose -4*j + g = -w - w, -4*w = -j + 14. Let -2/3*s**4 + 0*s**3 + 0*s + 4/3*s**j - 2/3 = 0. Calculate s.
-1, 1
Let d(t) be the third derivative of t**6/120 + 2*t**5/15 + 2*t**4/3 + 9*t**2 + 6*t. Factor d(s).
s*(s + 4)**2
Find s such that 2/3 + 0*s**4 + s - 2/3*s**2 + 1/3*s**5 - 4/3*s**3 = 0.
-1, 1, 2
Factor -19*v - 34*v**2 - 588 - 16*v**2 + 42*v + 61*v + 47*v**2.
-3*(v - 14)**2
Let w be 32/12 - 2/1. Let p(c) be the first derivative of c**2 - w*c**3 + 5 + 0*c. Factor p(l).
-2*l*(l - 1)
Let m be 3*(-4)/3 + 7. Solve -46*f**2 + 8 - 11*f**5 + 118*f**4 + 120*f**4 + 109*f**5 - 32*f + 61*f**3 + 73*f**m = 0 for f.
-1, 2/7
Let n = 16141/4 - 4015. Let f = -20 + n. Factor 1/2*u + 0 - 5/4*u**2 - f*u**4 + u**3.
-u*(u - 2)*(u - 1)**2/4
Let j be 8/(-12) - (-11)/3. Suppose -36*f**2 + 21*f**2 + 14*f**2 - 2 - j*f = 0. Calculate f.
-2, -1
Let w(v) be the first derivative of -v**4 - 36*v**3 + 240*v**2 - 496*v - 6. Factor w(h).
-4*(h - 2)**2*(h + 31)
Factor -12*h**3 + 28*h - 1477*h**4 + 12*h**2 - 24 + 2954*h**4 - 1481*h**4.
-4*(h - 1)**2*(h + 2)*(h + 3)
Let y(q) be the second derivative of 2*q**7/21 + 2*q**6/15 - q**5/5 - q**4/3 + 69*q. Find a such that y(a) = 0.
-1, 0, 1
Suppose -w + 4*o = 16, -3*w + 2*o - 14 = 14. Let c be (-1600)/(-12) + w + 8. Determine z, given that 83*z**2 + 52/3*z + 520/3*z**3 + c*z**4 + 4/3 = 0.
-2/5, -1/4
Let z(f) be the first derivative of -f**5/300 + f**4/120 - 3*f**2 + 2. Let n(u) be the second derivative of z(u). Factor n(r).
-r*(r - 1)/5
Let h(j) be the first derivative of 0*j - 16 + 1/7*j**3 - 3/28*j**4 + 0*j**2. Let h(q) = 0. Calculate q.
0, 1
Factor 36/5*o**2 + 33/10*o - 1/5 + 37/10*o**3.
(o + 1)**2*(37*o - 2)/10
What is v in 51*v**2 + 3*v**4 - 23*v**2 + v**4 - 20*v**3 - 73*v**2 - 43*v**2 - 64*v = 0?
-2, -1, 0, 8
Let f = -23 - -27. Suppose -90*q**4 - 32*q**5 - 99*q**4 + 45*q**f - 108*q**2 - 216*q**3 = 0. What is q?
-3/2, 0
Suppose 5*a = -5*h + 35, 2*h - 4*a = -3 - 13. Let r(q) be the first derivative of q**5 + 4/3*q**3 + 0*q + 13/4*q**4 - 3 - h*q**2. Factor r(b).
b*(b + 1)*(b + 2)*(5*b - 2)
Let a(z) = 21*z**4 - 21*z**3. Let c(q) = -6*q**4 + 6*q**3. Let u(i) = i**3 - 12*i**2 - 13*i - 18. Let v be u(13). Let t(o) = v*c(o) - 5*a(o). Factor t(f).
3*f**3*(f - 1)
Let y(t) = 5*t**2 + 21*t - 20. Let k(a) = -60*a**2 - 250*a + 240. Let g(i) = -3*k(i) - 35*y(i). Factor g(f).
5*(f - 1)*(f + 4)
Suppose 3*x - 2*t = 28, -5*x = -0*t + 2*t - 36. Let i be x/12 + (-4)/(-3). Let 4*h**i - 6*h + 0*h**4 + 3*h**2 - 3*h**4 + 2*h**2 = 0. Calculate h.
-2, 0, 1
Suppose 10*g - 7*g = 9. Let 22*q**4 + 18*q**5 - 62*q**4 + 7*q**3 - 26*q + 4 + 3*q**g - 2*q**3 + 36*q**