nd derivative of 3/2*y**2 + 3/20*y**5 - 1/2*y**3 - 1/4*y**4 + 0 - 13*y. Solve p(v) = 0.
-1, 1
Let q(y) = 12*y**3 + 2*y**2. Let m(z) = -7*z**3 - z**2. Let s(b) = 7*m(b) + 4*q(b). Factor s(h).
-h**2*(h - 1)
Let b(t) be the third derivative of -1/30*t**5 + 1/105*t**7 + 0 - 1/24*t**4 + 0*t + 1/336*t**8 + 5*t**2 + 0*t**3 + 0*t**6. Find j such that b(j) = 0.
-1, 0, 1
Solve 729/7*c**3 + 1/7*c**5 + 0 + 54/7*c**4 + 0*c + 0*c**2 = 0.
-27, 0
Let s(n) be the first derivative of 2*n**6/3 - 16*n**5/5 + 5*n**4 - 8*n**3/3 - 145. Factor s(w).
4*w**2*(w - 2)*(w - 1)**2
Find y, given that -60*y**2 + 16*y**2 + 16*y**2 + 3 + 12*y**2 + 3*y**3 + 13*y**2 - 3*y = 0.
-1, 1
Let p(o) be the second derivative of 15*o**7/28 + 8*o**6/5 + 143*o**5/100 + 4*o**4/15 + o**3/60 - o. Factor p(s).
s*(s + 1)**2*(15*s + 1)**2/10
Let m = 189 + -98. Let d = m + -35. Suppose -d*i**2 + 12 + 17*i**2 - 3*i + 15*i + 15*i**3 + 0*i = 0. What is i?
-2/5, 1, 2
Let o(b) = -3*b + 2. Let h(z) = -4*z + 3. Let g(n) = 2*h(n) - 3*o(n). Let w(q) = -35 - 26 - q**2 - 5*q + 60. Let y(u) = -3*g(u) - w(u). Solve y(r) = 0 for r.
-1
Let t = 1259 - 8807/7. Solve -3/7*n**2 - 3/7*n**4 + t*n**3 + 0 + 0*n = 0 for n.
0, 1
Let h(p) = -9*p**2 - 19*p - 3. Let j(m) = -3*m**2 - 6*m - 1. Let f(c) = -2*h(c) + 7*j(c). Let w(n) = -3*n**2 - 3*n. Let r(q) = -6*f(q) + 7*w(q). Factor r(k).
-3*(k - 2)*(k + 1)
Factor 8/9*u**3 + 0 - 2/9*u**4 + 8/3*u**2 + 0*u.
-2*u**2*(u - 6)*(u + 2)/9
Let h(c) be the third derivative of -c**9/20160 - c**8/6720 - 3*c**5/20 - 18*c**2. Let j(i) be the third derivative of h(i). Factor j(m).
-3*m**2*(m + 1)
Let f(a) = a**2 - 10*a + 12. Suppose 0*t + 9 = t. Let z be f(t). Factor 13*d**2 + d**3 - 4*d**2 - 3 + 5*d**z.
3*(d + 1)**2*(2*d - 1)
Let v(g) be the second derivative of -1/6*g**4 + 0*g**2 + 0 + 6*g + 4/3*g**3. Factor v(x).
-2*x*(x - 4)
Let g(z) be the second derivative of -z**9/12096 + z**8/3360 - z**6/720 + z**5/480 + 4*z**3/3 + 4*z. Let b(x) be the second derivative of g(x). Factor b(l).
-l*(l - 1)**3*(l + 1)/4
Let b be (-26 + 22)/((-10)/2). Factor 36/5 - 24/5*m + b*m**2.
4*(m - 3)**2/5
Let g = -3041/1140 - -51/19. Let c(x) be the second derivative of 1/18*x**3 + 0*x**2 + 0 - g*x**5 + 5*x - 1/90*x**6 + 1/36*x**4. Factor c(q).
-q*(q - 1)*(q + 1)**2/3
Suppose -2*i + 34 = 4. Suppose 4*f = 4, -4*f + i = 2*t + f. Factor 0 - 2/5*v**3 + 1/5*v**t + 0*v**4 + 1/5*v + 0*v**2.
v*(v - 1)**2*(v + 1)**2/5
Let f = -1388/51 + 474/17. Suppose 2/3*x - 2/3*x**3 - 2/3 + f*x**2 = 0. Calculate x.
-1, 1
Let g be (-678)/(-22) - 54/(-297). Let t = 95/3 - g. Solve -t*r - 2/3 - 1/6*r**2 = 0.
-2
Solve 2*z**2 - 2*z**4 + 5*z**3 - 6*z + 4*z - 6*z + 3*z**3 = 0 for z.
-1, 0, 1, 4
Let i(r) = -5*r**2 + 20*r + 10. Let m(k) = -8*k**2 + 30*k + 14. Let t(a) = -7*i(a) + 5*m(a). Factor t(f).
-5*f*(f - 2)
Let c(h) be the third derivative of -h**7/2205 - h**6/84 - 3*h**5/70 - 13*h**4/252 - 6*h**2 - 2*h. Factor c(l).
-2*l*(l + 1)**2*(l + 13)/21
Let a(o) be the second derivative of 7/6*o**6 + 0 - 19/4*o**5 + 125/12*o**4 - 40/3*o**3 + 26*o - 5/42*o**7 + 10*o**2. Suppose a(d) = 0. What is d?
1, 2
Suppose -2/9*t**2 - 256/9 - 86/3*t = 0. Calculate t.
-128, -1
Let h be 0/((-10 - -6) + 45/5). Factor -5/4*q**3 + h*q**2 + 5/2 + 15/4*q.
-5*(q - 2)*(q + 1)**2/4
Determine h so that 70*h**2 - 37 + 27*h - 73*h**2 - 19 + 9*h - 4 = 0.
2, 10
Let q(y) be the first derivative of y**4/14 + 2*y**3/21 - 4*y**2/7 - 8*y/7 - 86. Suppose q(h) = 0. What is h?
-2, -1, 2
Determine f, given that 1/2*f**2 + 3/2 + 2*f = 0.
-3, -1
Factor 150/23*u + 16/23*u**2 - 2/23*u**3 + 252/23.
-2*(u - 14)*(u + 3)**2/23
Let c be (1 - (2 - 0))/(11 + 184/(-16)). Let 0 + 4/3*h**4 + 4/9*h**5 - 32/9*h - 8/9*h**3 - 16/3*h**c = 0. What is h?
-2, -1, 0, 2
Factor -11 + 12*n**2 - 16 + 9 + 38 - 4*n**3 + 36*n.
-4*(n - 5)*(n + 1)**2
Suppose -31 = -3*j - 4*t, 39 + 1 = 5*j - 5*t. Suppose 5*z - 5*l - 45 = 0, 2*z - 3*l = 14 + j. Factor -6*y**2 + z*y**2 + 10*y**2 - 5*y**2 - 3*y**3.
-3*y**2*(y - 1)
Suppose 14*p + 19*p = -15*p. Let n(v) be the first derivative of -7 + v**2 + 2/5*v**5 + 3/2*v**4 + p*v + 2*v**3. Suppose n(t) = 0. Calculate t.
-1, 0
Let 25*q**2 - 50*q**2 + 70*q - 27*q**4 - 75*q**3 + 52*q**4 + 5*q**5 = 0. Calculate q.
-7, -1, 0, 1, 2
Let r(u) = -u**2 - 8*u + 11. Let h be r(-9). Let q be (1/1 - 2) + 3/h. Suppose 1/2 - q*x**2 + 0*x = 0. What is x?
-1, 1
Let v(p) = 6*p**4 - 11*p**3 + 11*p**2 + 11*p + 17. Let g = 8 + -42. Let n(u) = u**4 - 2*u**3 + 2*u**2 + 2*u + 3. Let t(b) = g*n(b) + 6*v(b). Factor t(s).
2*s*(s - 1)*(s + 1)**2
Let b be -3 - (1 - 11)*45/90. Factor 4/9*a**3 + 0 + 2/3*a**b + 0*a - 2/9*a**4.
-2*a**2*(a - 3)*(a + 1)/9
Let k(o) be the first derivative of -49*o - 1/3*o**3 + 7*o**2 - 19. Factor k(n).
-(n - 7)**2
Let l = -20370 - -224072/11. Factor 6/11 + l*g**2 - 10/11*g + 2/11*g**3.
2*(g - 1)**2*(g + 3)/11
Let t(q) = -q**3 + 2*q**2 - 4*q - 3. Let y(v) = -v**2 + 2*v + 1. Let u(p) = -5*t(p) - 15*y(p). Suppose u(s) = 0. Calculate s.
-2, 0, 1
Suppose 18*z - 23*z = -25. Let x be 0 + 4 + -6 + z. Suppose 0*u**5 + 9 - 56*u**x + 24*u**4 + 15 - 4*u**5 - 16 + 64*u**2 - 36*u = 0. Calculate u.
1, 2
What is w in -6694*w**2 - 412*w**3 - 8*w + 7114*w**2 - 8 + 8 = 0?
0, 2/103, 1
Suppose 6*p**4 - 64/3 + 52/3*p**3 + 40/3*p**2 - 16*p + 2/3*p**5 = 0. Calculate p.
-4, -2, 1
Let d(g) = 12*g**4 + 62*g**3 - 124*g**2 + 22*g + 30. Let v(k) = k**4 - k**3 + k**2 + k - 1. Let t(o) = 2*d(o) - 4*v(o). Factor t(b).
4*(b - 1)**2*(b + 8)*(5*b + 2)
Let j(g) be the first derivative of -g**6/18 + 2*g**5/5 - g**4 + 8*g**3/9 - 2. Factor j(t).
-t**2*(t - 2)**3/3
Let h(z) be the first derivative of -z**5/12 - 5*z**4/12 - 5*z**3/6 + 6*z**2 + 20. Let n(m) be the second derivative of h(m). Factor n(b).
-5*(b + 1)**2
Factor 4/3 - 98/15*s + 12/5*s**2.
2*(2*s - 5)*(9*s - 2)/15
Suppose -941*y**5 - 59*y + 1133*y**5 - 453*y**2 + 24 - 19*y + 1104*y**4 + 1236*y**3 = 0. What is y?
-4, -2, -1/4, 1/4
Let f(z) be the second derivative of z**4/48 + z**3 + 23*z**2/8 - 150*z. Factor f(k).
(k + 1)*(k + 23)/4
Find n such that 23742*n**2 - 66992*n - 976*n**4 + n**5 + 8*n**5 + 66986*n**3 - 3*n**5 - 22472 - 294*n**4 = 0.
-1, -1/3, 1, 106
Let u(z) be the third derivative of z**6/720 - z**4/48 + z**3/2 + 14*z**2. Let j(l) be the first derivative of u(l). Solve j(s) = 0.
-1, 1
Let s(z) = -18*z**4 + 19*z**3 + 6*z**2 - 13*z - 22. Let q(l) = -2*l**4 + 2*l**3 - l - 2. Let f(r) = -8*q(r) + s(r). Factor f(m).
-(m - 2)*(m + 1)**2*(2*m - 3)
Let p = 4397 - 4397. Factor 4/3*s + 10/3*s**2 + p.
2*s*(5*s + 2)/3
Let v be 5 + (-1000)/((-25)/(-5)). Let j = -583/3 - v. Suppose 2/9*m**5 + j*m**4 + 0 + 0*m**2 + 4/9*m**3 + 0*m = 0. What is m?
-2, -1, 0
Factor 1/7*b**2 - 9/7*b - 10/7.
(b - 10)*(b + 1)/7
Let z be (-5840)/(-1606) - 8/(-22). What is y in 0 - 1/5*y - 1/10*y**5 - 1/10*y**2 + 1/10*y**z + 3/10*y**3 = 0?
-1, 0, 1, 2
Let j(w) be the third derivative of w**6/180 - 13*w**5/45 - 55*w**4/36 - 28*w**3/9 - 151*w**2. Find v, given that j(v) = 0.
-1, 28
Suppose -2*x + 42 = -5*x. Let k be (16/x)/((-6)/56). Factor 16/3*t - 2/3*t**2 - k.
-2*(t - 4)**2/3
Solve -5*o**4 + 1/2*o**2 + 0 - 4*o**5 + 0*o - 1/2*o**3 = 0.
-1, -1/2, 0, 1/4
Let t = -49 - -49. Let j be (5/(-4) - t) + 32 + -30. Let j*u**5 + 7/4*u**3 + 0 - 1/2*u**2 + 0*u - 2*u**4 = 0. What is u?
0, 2/3, 1
Let x(c) = 163*c**2 + c. Let a be x(3). Factor a*j - 1470*j + 8*j**2 - 2*j**4.
-2*j**2*(j - 2)*(j + 2)
Let v be (5 - 1) + 7 + -6. Suppose v*k = q - 18, 5*q + k = -3*k + 3. Factor 0 + 0*n**2 + 3/2*n**q - 6*n.
3*n*(n - 2)*(n + 2)/2
Let j(h) be the third derivative of -1/8*h**3 + 0 + 0*h + 1/80*h**5 + 1/32*h**4 - 1/160*h**6 - 14*h**2. Suppose j(d) = 0. Calculate d.
-1, 1
Let c(o) = 2*o + 68. Let w be c(-34). Let s = 10 + -10. Factor 1/2*h**4 + 0*h**3 + w*h**2 + 0*h + h**5 + s.
h**4*(2*h + 1)/2
Suppose -1361*z + 9 = -1358*z. Factor -n**z + 3/5*n**2 + 0 + 0*n + 1/5*n**5 + 1/5*n**4.
n**2*(n - 1)**2*(n + 3)/5
Suppose -10*l + 2*i = -13*l - 1708, 0 = 2*l - 5*i + 1107. Let v = 7362/13 + l. Suppose 0*q**4 - 2/13*q**5 + 0*q**2 + 0 - 2/13*q + v*q**3 = 0. Calculate q.
-1, 0, 1
Let d(g) = g - 3. Let z(l) = 5*l**3 + 2*l - 2. Let k be z(1). Let q be d(k). Determine x so that -4/5 + 2/5*x**q + 2/5*x = 0.
-2, 1
Let f(d) be the third derivative of 14*d**2 + 0*d - 3*d**3 + 1/8*d**4 + 1/20*d**5 + 0. Determine q, given that f(q) = 0.
-3, 2
