o) = 0.
-2, 0, 1
Factor 2/5*j**2 - 56/5*j + 0.
2*j*(j - 28)/5
Let g(n) be the third derivative of n**6/140 - 9*n**5/35 + 47*n**4/28 - 30*n**3/7 + 63*n**2 - 2*n. Let g(f) = 0. What is f?
1, 2, 15
Let g be (-136)/28 + (-132)/(-22). Factor 0*s**2 - g*s**3 + 10/7*s**5 + 0 + 0*s + 16/7*s**4.
2*s**3*(s + 2)*(5*s - 2)/7
Let 6/7*p**3 - 4/7*p**2 + 0 - 2/7*p = 0. What is p?
-1/3, 0, 1
Let c(p) = p**2 - 6*p + 7. Let a be c(5). Determine q so that 2*q**a - 3*q - 2*q + q - 6 = 0.
-1, 3
Let c = 7321/3254 - -1/6508. Solve -9/4 - 1/4*v + c*v**2 + 1/4*v**3 = 0.
-9, -1, 1
Let r(f) be the first derivative of -4*f**3/21 - 44*f**2/7 - 79. Determine d so that r(d) = 0.
-22, 0
Let q(n) = 39*n + 2 + 10 + 15*n**2 + 12. Suppose 3 - 15 = 4*j. Let s(i) = 29*i**2 + 77*i + 49. Let g(w) = j*s(w) + 5*q(w). Factor g(k).
-3*(2*k + 3)**2
Factor -90*d**4 - 2*d**2 + 21734*d**5 + 160*d**3 - 165*d - 21729*d**5 + 12*d**2 + 80.
5*(d - 16)*(d - 1)**3*(d + 1)
Suppose 4254*q + 119 = 4274*q + 19. Find j, given that -1/2*j**2 + q*j - 25/2 = 0.
5
Let a(p) = p**3 - 19*p**2 - 250*p + 20. Let o be a(-9). Let 3/2*v**4 - 12 - 3*v**o - 9/2*v**3 + 18*v = 0. Calculate v.
-2, 1, 2
Let t = -7 - -7. Let z(s) be the first derivative of -3/10*s**5 - 10 + 1/4*s**4 + 0*s + 1/6*s**3 + t*s**2. Factor z(h).
-h**2*(h - 1)*(3*h + 1)/2
Let s(d) be the third derivative of -5/6*d**4 + 1/6*d**6 - 4/3*d**3 - 13*d**2 + 0*d + 2/15*d**5 + 0. Factor s(j).
4*(j - 1)*(j + 1)*(5*j + 2)
Suppose -8*y + 6*y = -y. Let t = 2476/2055 + -2/411. Let -4/5*c + y + 6/5*c**4 - t*c**2 + 2/5*c**3 + 2/5*c**5 = 0. Calculate c.
-2, -1, 0, 1
Let r(f) be the third derivative of f**5/360 - 7*f**4/144 + f**3/6 + 2*f**2 + 110*f. Determine w, given that r(w) = 0.
1, 6
Let b(d) = d**2 + 6*d - 7. Let n be b(5). Solve -98*t + 2*t - n*t**2 + 16 - 4*t**2 = 0 for t.
-2, 2/13
Let c(s) = -11*s**3 - 3650*s**2 - 138587*s - 135013. Let r(m) = -2*m**3 - 608*m**2 - 23098*m - 22502. Let d(i) = -2*c(i) + 13*r(i). Let d(y) = 0. What is y?
-75, -1
Solve -2/5*o**4 + 0*o - 1682/5*o**2 + 0 + 116/5*o**3 = 0.
0, 29
Let i(b) = -b**2 + 27*b + 62. Let y be i(29). Let d(t) be the second derivative of 3/14*t**3 + 3*t + 0*t**2 + 0 + 1/28*t**y. Suppose d(m) = 0. Calculate m.
-3, 0
Let o(m) be the third derivative of m**7/70 + 7*m**6/20 - m**5/20 - 7*m**4/4 - 3*m**2 - 18*m. Suppose o(i) = 0. What is i?
-14, -1, 0, 1
Let l(t) be the second derivative of -1/4*t**4 - 2/5*t**5 + 0 - 7/60*t**6 + 2/3*t**3 - 10*t + 3*t**2. Let o(p) be the first derivative of l(p). Factor o(b).
-2*(b + 1)**2*(7*b - 2)
Suppose 123/5*f**2 + 108/5 - 3*f**4 - 9/5*f**5 + 113/5*f**3 - 288/5*f = 0. Calculate f.
-3, 2/3, 3
Factor 4*a**3 - 1/2*a**4 + 10 - 15/2*a**2 - 2*a.
-(a - 5)*(a - 2)**2*(a + 1)/2
Let o(m) be the third derivative of m**8/4032 + m**7/252 + m**5/4 + m**2. Let c(u) be the third derivative of o(u). Factor c(d).
5*d*(d + 4)
Let h(t) = 2*t + 1. Suppose -4*f = -11*f + 7. Let r be h(f). Factor 3*y**2 - 3*y**5 - r*y**4 + 17*y**3 - 7*y**3 - 7*y**3.
-3*y**2*(y - 1)*(y + 1)**2
Suppose 19*f = 17*f. Let c(y) be the third derivative of 1/40*y**6 + 0*y**3 + f + 0*y + 0*y**4 + 1/10*y**5 - 8*y**2. Solve c(k) = 0.
-2, 0
Let a(i) = -5*i**3 - i**2 - i. Let k be a(-1). Suppose -10*q = -q - 18. Suppose -12*r - k*r**q + r**3 - 6*r**3 - 7*r**2 - 4 + r**3 = 0. Calculate r.
-1
What is z in 27/4*z + 3/4*z**2 + 21/2 = 0?
-7, -2
Let q(u) be the first derivative of 4*u**7/21 + 7*u**6/15 - u**5/5 - u + 4. Let b(w) be the first derivative of q(w). Factor b(d).
2*d**3*(d + 2)*(4*d - 1)
Factor -7/2*f**2 + 8*f - 6 + 1/2*f**3.
(f - 3)*(f - 2)**2/2
Find o such that -20/9*o**3 + 8/3*o**2 - 2/9*o + 22/9*o**5 - 8/3*o**4 + 0 = 0.
-1, 0, 1/11, 1
Suppose -336*l**3 + 288*l**2 + 50*l**4 + 26*l**5 - 16*l**5 - 8*l**5 - 4*l**5 = 0. What is l?
0, 1, 12
Let a(b) be the first derivative of -3*b**4/20 - b**3/3 + b**2/5 + 197. Let a(k) = 0. Calculate k.
-2, 0, 1/3
Suppose -3*a + 4*o - 28 = 0, -a + 7*o = 4*o + 11. Let n be (-3 + 106/36)*a. Let -n*u - 2/9*u**2 + 0 = 0. What is u?
-2, 0
Let x(j) be the second derivative of -j**6/30 - j**5/4 + j**4/4 + 17*j**3/6 + 5*j**2 - 125*j. Let x(a) = 0. What is a?
-5, -1, 2
Let w(f) be the second derivative of -5/3*f**3 + 0*f**2 + 0 + 51*f + 5/42*f**7 - 3/4*f**5 - 1/6*f**6 + 25/12*f**4. Determine q, given that w(q) = 0.
-2, 0, 1
Let r be (-3)/63 + (-1 - (4 + -5)). Let j = r - -8/21. Factor -2/3 + j*y**3 - y + 0*y**2.
(y - 2)*(y + 1)**2/3
Determine a, given that -354/5*a**3 + 2116/5 - 8/5*a**4 - 3584/5*a**2 + 1518*a = 0.
-23, -1/4, 2
Let r(u) be the first derivative of 6*u**5/55 + 3*u**4/11 - 26*u**3/11 - 42*u**2/11 + 144*u/11 + 143. Determine g so that r(g) = 0.
-4, -2, 1, 3
Let g(b) = 3*b**3 + b. Let r be g(1). Factor 2*f**4 - 4*f**r - 3*f**4 + f**4.
-4*f**4
Let k be 7667/3157 - 4/(-7). What is t in 0 - 4/3*t**4 - 4*t**2 + 4*t**k + 4/3*t = 0?
0, 1
Let l = -35 - -39. Let j(k) be the third derivative of k**2 + 0 + 0*k - 1/4*k**l + 3/2*k**3 + 1/60*k**5. Solve j(v) = 0 for v.
3
Let q(y) = -44 - 2*y**2 + 44 + 5*y**2 - 5*y. Let c(d) = -4*d**2 + 6*d. Let s(f) = 4*c(f) + 5*q(f). Find g such that s(g) = 0.
-1, 0
Let z(b) = b**3 + 11*b**2 - 12*b + 2. Let j be z(-12). Suppose -5*y**3 + 17*y**3 + 21*y**2 + 27*y + 6 + 15*y**j = 0. What is y?
-2, -1/2
Let 22/13*t**2 + 2/13*t**3 + 48/13*t - 72/13 = 0. Calculate t.
-6, 1
Let v = 151 + -94. Let p = v - 57. Factor p - 1/2*s**2 + 0*s + 3/2*s**4 + s**3.
s**2*(s + 1)*(3*s - 1)/2
Let a(o) be the second derivative of -5*o**7/42 + 2*o**6/3 - 3*o**5/2 + 5*o**4/3 - 5*o**3/6 + 140*o. Solve a(g) = 0.
0, 1
Let d(j) = -2*j**2 - 38*j + 43. Let s(i) = -i**2 + i + 1. Let g(c) = -2*d(c) + 6*s(c). Factor g(x).
-2*(x - 40)*(x - 1)
Let u be (1 - 2) + 15/5. Suppose u*w + 2 = 4*w. Find f such that 5*f + 3*f - 1 + 8 + 2*f**2 - w = 0.
-3, -1
Suppose -s + 4 = a - 0*a, -s = -3*a + 4. Suppose 20 = -2*g + y + 4*y, a*g + 5*y - 20 = 0. Factor 0*c + 2/5*c**3 + g*c**2 + 0.
2*c**3/5
Let l(b) be the third derivative of b**5/450 - 3*b**4/5 + 324*b**3/5 - 34*b**2. Factor l(c).
2*(c - 54)**2/15
Let j = -238856/230475 + 2563/439. Let h = -1/525 + j. Factor -h*k + 2/5*k**4 + 8/5 - 12/5*k**3 + 26/5*k**2.
2*(k - 2)**2*(k - 1)**2/5
Suppose -707 = -5*s + 4*j + 68, 5*j = -4*s + 661. Let i = 639/4 - s. Factor 3/4*l**4 + 3/2*l**3 + 0*l + i*l**2 + 0.
3*l**2*(l + 1)**2/4
Let r(k) be the second derivative of -k**9/504 + k**8/168 - k**7/180 + k**6/540 + 11*k**3/6 - 14*k. Let z(b) be the second derivative of r(b). Factor z(p).
-2*p**2*(p - 1)*(3*p - 1)**2/3
Let x(v) be the first derivative of -29 + 10/3*v - 1/12*v**4 + 8/9*v**3 - 17/6*v**2. Suppose x(o) = 0. What is o?
1, 2, 5
Let v(a) be the first derivative of -8/7*a + 4 - 2/21*a**3 - 5/7*a**2. Let v(y) = 0. What is y?
-4, -1
Let u = 15 + -11. Let d be 1/u + (-132)/(-48). Determine y so that 3*y**2 - 5*y**3 + 8*y - 4*y**3 + 5*y**d + y**2 = 0.
-1, 0, 2
Suppose o = 2*o. Let q(a) = -2*a**3 - 35*a**2 + 14*a + 12. Let h be q(-18). Factor 147*x**2 + 8*x - 8*x + 12 + o - h*x.
3*(7*x - 2)**2
Let o(l) be the second derivative of -9*l + 0 + 8/27*l**4 + 8/9*l**3 + l**2. Determine w, given that o(w) = 0.
-3/4
Let u be ((-2)/4 + 0)*-22. Suppose 2*f + 5 - u*f**2 + 8 + 8*f - 12 = 0. What is f?
-1/11, 1
Suppose 0 = 3*x + 15, -4*d + d - 2*x = 1. Factor 3*u**4 + 0*u**4 + u**5 + 2*u**3 - 3*u**d + 3*u**3.
u**3*(u + 1)*(u + 2)
Let w = -101002 + 1107782/11. Let h = -294 - w. Let -h*u**2 + 2/11*u**3 + 0*u + 8/11 = 0. Calculate u.
-1, 2
Let y = -2204 + 2204. Let g(t) be the first derivative of 2 + 0*t + 9/4*t**4 + t**3 + y*t**2. Factor g(x).
3*x**2*(3*x + 1)
Let z be 16/18*(-90)/(-220). Factor -z*j**3 - 2/11 + 4/11*j**2 + 2/11*j**5 - 2/11*j**4 + 2/11*j.
2*(j - 1)**3*(j + 1)**2/11
Let h(u) = 100*u**2 - 5*u - 12. Let o(f) = -150*f**2 + 8*f + 18. Let z(i) = 7*h(i) + 5*o(i). Factor z(r).
-(5*r - 2)*(10*r + 3)
Let d(g) = -g**2 - g. Let x(j) = -7*j**2 - 11*j. Let a = 4 - 3. Let k be -7 + (a - -2) - -2. Let z(q) = k*x(q) + 18*d(q). Suppose z(l) = 0. Calculate l.
0, 1
Let y(u) be the second derivative of -25*u**7/14 - 3*u**6 + 99*u**5/10 + 35*u**4 + 87*u**3/2 + 27*u**2 + 64*u + 1. What is v in y(v) = 0?
-1, -3/5, 2
Let v(r) be the second derivative of 1/9*r**3 - 1/9*r**4 + 1/2*r**2 + 1/90*r**6 - 1/30*r**5 - 6*r - 2. Let v(y) = 0. What is y?
-1, 1, 3
Let l(u) be the first derivative of 4*u**5/