7*i**2 + 18/7*i**3 + 0 + 8/7*i = 0. Calculate i.
-1, 0, 4
Let o(p) = 12*p**2 - 2*p. Let k be o(1). Factor -5*h**4 - 34*h + 5*h**2 - 5*h**3 - k*h**3 + 49*h.
-5*h*(h - 1)*(h + 1)*(h + 3)
Suppose -j + 2 = 1. Let 4*z + 2*z**3 - 6*z**3 - 1 + j = 0. What is z?
-1, 0, 1
Let s = -1815/7 - -9082/35. Solve 2/5*p + s + 1/5*p**2 = 0.
-1
Suppose -3*j - 20 = -17. Let m be (128/(-10))/(-8) - (-1)/j. Suppose 6/5*p**3 + 0 + m*p**4 + 3/5*p**2 + 0*p = 0. Calculate p.
-1, 0
Let f = 429139/105 - 4087. Let h(b) be the third derivative of 1/112*b**8 + 0*b**3 + f*b**7 + 0*b**4 + 0*b + 1/30*b**5 + 0 - 6*b**2 + 7/120*b**6. Factor h(l).
l**2*(l + 1)**2*(3*l + 2)
Let f(o) be the first derivative of -o**3/5 + 57*o**2/5 - 216*o/5 - 648. What is y in f(y) = 0?
2, 36
Suppose 0 = -4*t + b + 703, 3*b + b = -t + 197. Suppose t*p - 2 = 176*p. Let 0 + 1/7*z**3 + 0*z + 0*z**p + 2/7*z**4 + 1/7*z**5 = 0. Calculate z.
-1, 0
Let z = 31 + -29. Suppose -y - 4*y - 2*d = -85, -z*y - 5*d + 13 = 0. Determine h, given that -6*h**2 + h + 0*h - 27 - y*h + 3*h**2 = 0.
-3
Determine k, given that -10/7*k**2 - 8/7 + 1/7*k**3 + 17/7*k = 0.
1, 8
Let c = -66 + 29. Let p = -19 - c. Suppose -80*n + 126*n**2 - 2 - 8*n**5 + 52*n**4 + p - 128*n**3 + 22*n**2 = 0. Calculate n.
1/2, 1, 2
Let z(b) = -15*b**3 + 21*b**2 - 63*b + 21. Let q(v) = -2*v**3 - 2*v**2 - v - 1. Let k(s) = -6*q(s) + z(s). Factor k(a).
-3*(a - 9)*(a - 1)**2
Let a(x) be the second derivative of x**4/30 + 22*x**3/3 + 605*x**2 - 21*x. Factor a(q).
2*(q + 55)**2/5
Let x(g) be the third derivative of g**6/225 - 91*g**5/450 - 119*g**4/180 - 8*g**3/15 + 125*g**2. Solve x(z) = 0 for z.
-1, -1/4, 24
Let x = 259/3350 + -5/134. Let i(q) be the second derivative of 0 - 4/15*q**4 + 7/15*q**3 + 3*q - 1/105*q**7 - 2/5*q**2 + 2/75*q**6 + x*q**5. Factor i(n).
-2*(n - 1)**4*(n + 2)/5
Let f(l) be the third derivative of -l**7/420 - l**6/240 + 2*l**5/15 - 5*l**4/12 + 599*l**2. Factor f(k).
-k*(k - 2)**2*(k + 5)/2
Let q(g) be the second derivative of g**6/90 + g**5/5 + 4*g**4/3 - 7*g**3/3 + 38*g. Let n(p) be the second derivative of q(p). Find b such that n(b) = 0.
-4, -2
Let q(j) be the second derivative of -j**7/280 + j**6/80 - j**5/80 + 2*j**2 - 11*j. Let h(m) be the first derivative of q(m). Find x, given that h(x) = 0.
0, 1
Suppose -16*f = -11*f - 20. Solve -4*t**5 + 6*t**3 + 2*t**5 + 4*t + 10*t**2 - t**f + 0*t**4 - t**4 = 0.
-1, 0, 2
Let c(g) be the third derivative of -g**6/3600 + g**5/1200 - 11*g**3/3 - 17*g**2. Let q(n) be the first derivative of c(n). Find z, given that q(z) = 0.
0, 1
Let k(f) be the second derivative of -1/30*f**5 - 14*f + 0 - 1/9*f**4 + 1/9*f**3 + 2/3*f**2. Determine p so that k(p) = 0.
-2, -1, 1
Let y(i) = -4*i**2 + 98*i + 207. Let b(k) = 2*k - 1. Let p(g) = -b(g) + y(g). Factor p(o).
-4*(o - 26)*(o + 2)
Suppose 5 = -19*p - 71. Let z be (2 + p - -3) + (-46)/(-10). Determine b so that -8/5 + 7/5*b**3 - z*b + 2/5*b**2 = 0.
-2, -2/7, 2
What is g in 1/9*g**2 + 7/3*g - 22/9 = 0?
-22, 1
Let k(f) be the first derivative of -2*f**3/3 + 29*f**2 + 133. Factor k(u).
-2*u*(u - 29)
Factor 1/5*a - 1/5*a**3 + 3/5*a**2 - 3/5.
-(a - 3)*(a - 1)*(a + 1)/5
Let u be (30*(-10)/105)/((-2)/7). Suppose 0 = 2*f + 5*t - u*t - 18, 3*f + t = 10. Suppose 1/3*o**3 + 1/3*o**f + 0 + 0*o + 0*o**2 = 0. Calculate o.
-1, 0
Let q = -1027 + 1029. Suppose -1/2 - 1/2*p**q + p = 0. Calculate p.
1
Factor 0*y + 3/7*y**5 + 15/7*y**3 + 12/7*y**4 + 0 + 6/7*y**2.
3*y**2*(y + 1)**2*(y + 2)/7
Let c(r) be the second derivative of -3*r**7/49 + 29*r**6/105 - 12*r**5/35 + 2*r**4/21 - 87*r - 5. Suppose c(t) = 0. Calculate t.
0, 2/9, 1, 2
Let s(f) = 115*f**3 - 10*f**2 + 25*f - 30. Let l(u) = -4*u**3 - u + 1. Let a(h) = -30*l(h) - s(h). Solve a(m) = 0.
-1, 0
Suppose 2*f**5 + 32*f**3 + 0*f**5 - 128 + 16*f**4 - 145*f - 38*f + 23*f - 32*f**2 = 0. What is f?
-4, -2, 2
Let k(m) be the first derivative of m**3/27 - 13*m**2/9 + 25*m/9 - 294. Solve k(z) = 0 for z.
1, 25
Let f(z) be the second derivative of -1/16*z**4 + 0 - 5*z + 0*z**3 + 3/8*z**2. Suppose f(x) = 0. What is x?
-1, 1
Let b(n) be the third derivative of n**5/60 + 7*n**4/24 + 2*n**3 + 109*n**2. Factor b(g).
(g + 3)*(g + 4)
Let f(o) be the first derivative of -3*o**5/40 + 5*o**4/8 - 2*o**3 + 3*o**2 + 9*o - 1. Let g(q) be the first derivative of f(q). Factor g(l).
-3*(l - 2)**2*(l - 1)/2
Let m = 60 - 22. What is n in -3 + 3*n + m*n**2 - 41*n**2 - n - 8*n = 0?
-1
Let r(x) = -2*x - 7. Suppose 5*a = n + 3*a + 3, -4*n - 3*a = 23. Let u be r(n). Factor -9*t**3 - u*t**2 - 6*t**2 - 3*t**4 + 3*t**2.
-3*t**2*(t + 1)*(t + 2)
Let r(k) be the first derivative of k**4/24 - k**3/12 - 28*k + 11. Let b(a) be the first derivative of r(a). What is x in b(x) = 0?
0, 1
Factor 4/19*i**2 + 6/19*i**3 - 4/19 - 6/19*i.
2*(i - 1)*(i + 1)*(3*i + 2)/19
Let l = -3081 - -21579/7. Find q such that -l*q + 2/7*q**2 + 10/7 = 0.
1, 5
Let a(v) be the first derivative of -2*v**5/55 - v**4/22 + 4*v**3/11 + 4*v**2/11 - 16*v/11 + 50. Let a(z) = 0. What is z?
-2, 1, 2
Suppose 699 = 163*n + 70*n. Find a, given that 1/2*a + 0 + 1/4*a**n - 3/4*a**2 = 0.
0, 1, 2
Let w be (-5 - (1 - 10))/((-2)/(-132)). Suppose -249*p**2 + w*p**2 + 3*p**4 - 40*p + 20 + 10*p**3 - 8*p**4 = 0. Calculate p.
-2, 1, 2
Let y(q) be the third derivative of -q**8/20160 + q**7/1260 + q**6/144 + q**5/3 - 6*q**2. Let k(r) be the third derivative of y(r). Factor k(h).
-(h - 5)*(h + 1)
Let q = 707 - 705. Factor -2/3*r**q + 0 + 4*r.
-2*r*(r - 6)/3
Let z(q) = -9*q**4 + 34*q**3 + 28*q**2 - 120*q - 4. Let i(l) = -55*l**4 + 205*l**3 + 170*l**2 - 720*l - 25. Let r(b) = -4*i(b) + 25*z(b). Factor r(x).
-5*x*(x - 6)*(x - 2)*(x + 2)
Factor 2*s**5 + 1169*s**3 - 100*s**2 - 69*s - 6*s - 1219*s**3 - 20 + 3*s**5.
5*(s - 4)*(s + 1)**4
Let z(k) be the third derivative of 0 + 0*k + 1/2*k**3 - 9/16*k**4 + 1/8*k**5 - 4*k**2 - 1/20*k**7 + 9/80*k**6. Determine s so that z(s) = 0.
-1, 2/7, 1
Let w(f) be the first derivative of 3*f**5/5 + 3*f**4/2 - 3*f**3 - 6*f**2 + 12*f + 48. Find c such that w(c) = 0.
-2, 1
Let w(r) be the third derivative of 0*r + 0 - 1/30*r**6 + 1/6*r**4 + 4/3*r**3 + 24*r**2 - 2/15*r**5. Factor w(t).
-4*(t - 1)*(t + 1)*(t + 2)
Factor -16/21*g - 2/21*g**2 - 32/21.
-2*(g + 4)**2/21
Determine h, given that 2*h**5 + 266454*h**4 - 266428*h**4 - h**5 + 140*h**3 - 392*h**2 = 0.
-14, 0, 2
Let d(l) be the second derivative of -3/40*l**5 + 3*l**2 - 1/8*l**4 + 0 - 15*l + l**3. Find q, given that d(q) = 0.
-2, -1, 2
Let f(n) be the third derivative of n**5/90 + 5*n**4/36 + 2*n**3/3 + 18*n**2 - 3. Find h, given that f(h) = 0.
-3, -2
Let j(b) = -2*b**2 - 14*b - 12. Let m be j(-6). Let p be 27/9 + m/((-2)/(-2)). Suppose -2/5*t**2 + 0*t + 0 - 4/5*t**p - 2/5*t**4 = 0. What is t?
-1, 0
Let w(q) = 3*q**5 - 5*q**4 - q**3 - 3*q**2 - 2*q - 8. Let r(t) = -4*t**5 + 6*t**4 + 2*t**3 + 4*t**2 + 2*t + 10. Let k(o) = -4*r(o) - 5*w(o). Factor k(z).
z*(z - 1)**2*(z + 1)*(z + 2)
Let z(a) be the third derivative of a**6/420 - 2*a**5/105 + a**4/28 - 87*a**2. Determine s, given that z(s) = 0.
0, 1, 3
Let v(i) be the second derivative of -i**10/6048 + i**8/1344 + 31*i**4/12 + 18*i. Let c(b) be the third derivative of v(b). Factor c(r).
-5*r**3*(r - 1)*(r + 1)
Let k(g) = -g**2 + 3*g - 1. Let q be (-21)/(-19) - 6/57. Let t(v) = -1. Let m(b) = q*k(b) + t(b). Factor m(c).
-(c - 2)*(c - 1)
Let y(b) = -b**3 + 4*b**2 + 5*b + 3. Let p be y(5). Suppose p*w + 4 - 13 = 0. Determine g, given that -6*g**3 + 2*g**w + 3*g**4 + g**3 = 0.
0, 1
Let 9/2*m**2 + 12*m + 6 - 3/2*m**4 - 3*m**3 = 0. Calculate m.
-2, -1, 2
Let o = -204 + 613/3. Solve 5/3*c**3 - 2/3*c**2 + 0 + 0*c - 4/3*c**4 + o*c**5 = 0.
0, 1, 2
Let m(o) be the first derivative of o**6/30 - 17*o**5/25 - 37*o**4/20 - 19*o**3/15 - 78. What is j in m(j) = 0?
-1, 0, 19
Let i = -25249/4 - -6313. Factor -3/2 + i*l**2 - 3/4*l.
3*(l - 2)*(l + 1)/4
Let y(o) = 3*o + 4 - 4*o**2 + 4*o - 3 + 2*o**2. Let n(a) = -3*a**2 + 8*a. Let u(k) = 3*n(k) - 4*y(k). Find p such that u(p) = 0.
-2
Let o(c) be the first derivative of c**8/1680 - c**7/168 + c**6/45 - c**5/30 + c**3/3 + 14. Let k(v) be the third derivative of o(v). Factor k(a).
a*(a - 2)**2*(a - 1)
Let o be ((-30)/20 + 1/2)*3. Let v be 5/((-60)/(-56)) + o. Factor -1/3*f**3 - 1/3*f**4 + v*f + 2/3 + f**2.
-(f - 2)*(f + 1)**3/3
Let n(i) be the third derivative of -i**5