ose -r*a - 12 = -4*a. Let 2*z**4 + 3*z**3 + 2*z - 4*z**4 + 3*z**3 - a*z**2 = 0. Calculate z.
0, 1
Let v(t) be the second derivative of 2*t + 0 + 1/9*t**3 + 0*t**6 - 2/45*t**5 + 1/189*t**7 - 2/9*t**2 + 1/27*t**4. Find p, given that v(p) = 0.
-2, -1, 1
Let r be (2/(-3))/((-38)/285). Factor 5/2*s**2 + 0 - 1/2*s**4 + 1/2*s**r - s - 3/2*s**3.
s*(s - 1)**3*(s + 2)/2
Let o be (16/(-14))/(10/(-35)). Suppose -2*b = x - 3, 0 = -o*b - x + 6*x - 15. Determine f so that b*f + 0 + 1/4*f**2 = 0.
0
Factor 1/2 + w**2 - 1/4*w**3 - 5/4*w.
-(w - 2)*(w - 1)**2/4
Find o, given that -48/7*o - 6/7*o**4 - 6/7*o**5 + 24/7 + 30/7*o**3 + 6/7*o**2 = 0.
-2, 1
Let m(b) = 7*b**4 - 7*b**3 + 3*b**2 + b - 4. Let t(a) = -13*a**4 + 13*a**3 - 5*a**2 - 2*a + 7. Let h(l) = 11*m(l) + 6*t(l). Factor h(o).
-(o - 2)*(o - 1)*(o + 1)**2
Suppose -16 = -3*z - 2*i, -4*i + 12 = 4*z - 16. What is h in -3*h - 2*h**3 + 7*h**2 - h + 15*h**2 - 16*h**z = 0?
0, 1, 2
Suppose -3 = 2*b - m - 13, -6 = 3*m. What is j in 7 + 4*j - 36*j**3 - 32*j**2 + 28*j**b + 30*j**5 - 3 + 2*j = 0?
-1, -1/3, 2/5, 1
Let w(n) be the third derivative of n**6/300 + 2*n**5/75 + n**4/12 + 2*n**3/15 + 19*n**2. Let w(c) = 0. What is c?
-2, -1
Determine u, given that -32/11 - 16/11*u - 2/11*u**2 = 0.
-4
Solve 2*z**4 + 0*z**2 + 0 + 0*z + 8/5*z**3 + 2/5*z**5 = 0 for z.
-4, -1, 0
Let a(i) be the first derivative of i**4/4 - i**3/3 + i**2/2 - 5. Let k(g) = g**2. Let p(f) = -a(f) - 3*k(f). Let p(y) = 0. Calculate y.
-1, 0
Let z(l) = 5*l**3 - 5*l**2 - 33*l + 3. Let b(u) = 40*u**3 - 40*u**2 - 265*u + 25. Let g(j) = -3*b(j) + 25*z(j). Find c such that g(c) = 0.
-2, 0, 3
Determine t so that -4*t**3 - 72/5*t**2 - 54/5 - 108/5*t - 2/5*t**4 = 0.
-3, -1
Suppose -16*u = -17*u. Factor 4/9*r**2 + u - 2/9*r - 2/9*r**3.
-2*r*(r - 1)**2/9
Let o(t) = -t**3 - 6*t**2 - 6*t + 3. Let c be o(-5). Let x = c - 3. Factor 0*w**2 - 4/7*w**4 - 2/7*w**x + 0*w - 2/7*w**3 + 0.
-2*w**3*(w + 1)**2/7
Let a(s) be the first derivative of -s**4/4 - 2*s**3/3 + 7. Factor a(n).
-n**2*(n + 2)
Let j(h) be the third derivative of -3*h**2 + 7/120*h**6 + 0 - 1/105*h**7 + 1/3*h**3 - 1/10*h**5 - 1/24*h**4 + 0*h. Factor j(w).
-(w - 2)*(w - 1)**2*(2*w + 1)
Suppose 3*d - 17 = -4*g, -4*g = -0*g - 5*d - 57. Suppose 4*y = -4*x - g, y = x - 2*y - 14. Factor x*u + 0*u**2 - 2*u**2 - 4*u.
-2*u*(u + 1)
Solve -2*t - 6*t - 18 - t**2 - 12*t - t**2 = 0.
-9, -1
Let w be 96/(-90) - 1/3. Let c = 29/15 - w. Determine f, given that 2/3*f**5 + 2/3 + 20/3*f**2 + 20/3*f**3 + 10/3*f + c*f**4 = 0.
-1
Suppose 42 = 4*p - 0*t + 5*t, -2*p + 5*t + 6 = 0. Suppose -p*h = -6*h. Factor -1/5*g**2 + 2/5*g + h.
-g*(g - 2)/5
Let w(j) be the third derivative of j**5/36 - 5*j**4/72 + 15*j**2. Solve w(x) = 0.
0, 1
Let l(s) be the first derivative of -5/66*s**4 + 0*s**2 + 3*s - 2 + 2/33*s**3. Let u(a) be the first derivative of l(a). Factor u(d).
-2*d*(5*d - 2)/11
Let z(i) be the second derivative of 2/15*i**4 + 3/50*i**5 + 1/15*i**3 + 0*i**2 + 0 - 2*i. Factor z(k).
2*k*(k + 1)*(3*k + 1)/5
Factor 12 + 8*m**2 - 2*m**3 + 20*m + 16*m - 7*m - 7*m.
-2*(m - 6)*(m + 1)**2
Let a(l) = 7*l**2 + 22*l + 23. Suppose -4*q - 18 + 2 = 0. Let i(g) = -g**2 - g + 1. Let s(m) = q*i(m) - a(m). Factor s(n).
-3*(n + 3)**2
Let m be 168/(-36) + (2 - -4 - 1). Factor -1/3*v - m*v**2 + 2/3.
-(v - 1)*(v + 2)/3
Let m(o) be the third derivative of -o**8/336 - o**7/35 - 3*o**6/40 - o**5/15 - 29*o**2. Let m(t) = 0. Calculate t.
-4, -1, 0
Let -3*a**3 + 20*a**2 + 16 - 7*a**3 - 32*a + 6*a**3 = 0. What is a?
1, 2
Let k(q) be the first derivative of -5*q**6/6 - 3*q**5 - 15*q**4/4 - 5*q**3/3 + 3. Factor k(i).
-5*i**2*(i + 1)**3
Let r(w) be the first derivative of -4*w - 2/3*w**3 - 3 - 3*w**2. Let r(c) = 0. What is c?
-2, -1
Let l(r) be the first derivative of -r**6/40 + 3*r**5/5 - 6*r**4 + 32*r**3 + 5*r**2/2 + 4. Let p(q) be the second derivative of l(q). Solve p(v) = 0.
4
Let w(n) be the second derivative of 5*n**4/8 - 3*n**3 + 3*n**2 + 8*n. What is s in w(s) = 0?
2/5, 2
Factor 0 + 2/9*b**5 + 2/9*b**2 - 2/9*b**4 + 0*b - 2/9*b**3.
2*b**2*(b - 1)**2*(b + 1)/9
Let m(c) = c**3 + 13*c**2 + 13*c + 15. Let l be m(-12). Find a such that -3*a + 3*a**4 + 0*a - 9*a**l - 11*a**2 + 20*a**2 = 0.
0, 1
Let g(c) be the third derivative of c**8/280 + c**7/84 + c**6/90 + c**3/2 - c**2. Let o(q) be the first derivative of g(q). Solve o(x) = 0.
-1, -2/3, 0
Let v(f) be the first derivative of 1/2*f**2 + 2 - 1/6*f**3 - 1/2*f. What is x in v(x) = 0?
1
Let l(r) be the third derivative of 0 + 0*r**3 - 1/160*r**6 - 1/96*r**4 - 1/80*r**5 - 1/840*r**7 + 0*r - 3*r**2. Factor l(k).
-k*(k + 1)**3/4
Suppose 5*g + 415 = 425. Suppose 3/2*q**3 - q**g - 1/2*q**4 + 0*q + 0 = 0. What is q?
0, 1, 2
Let q(j) = -7*j**2 + 1. Let b be q(1). Let y = 1 - b. Suppose t**2 + 3*t - 3 + 9 - 3*t**3 - y*t**2 = 0. What is t?
-2, -1, 1
Suppose 0 + 4/3*h + 4/3*h**2 = 0. Calculate h.
-1, 0
Determine t so that 378 - 4*t**3 - 382 - 12*t + 0*t**2 - 2*t**2 - 10*t**2 = 0.
-1
What is t in -164 + 25*t**2 + 164 + 5*t**3 = 0?
-5, 0
Suppose -3*k + 23 = -2*k - 5*b, -k + 7 = -b. Let r(j) be the first derivative of -k - 2/5*j + 2/5*j**2 - 2/15*j**3. What is t in r(t) = 0?
1
Let a(d) be the third derivative of -d**7/70 - d**6/40 - 18*d**2. Factor a(h).
-3*h**3*(h + 1)
Suppose 0 = p - 2*p. Let -2*w + 2*w**2 - 4*w**2 - 2*w**4 + 2*w**3 + p*w**3 + 4*w**4 = 0. Calculate w.
-1, 0, 1
Let x = -13 - -4. Let k = x - -19/2. Factor 0*n**2 + k*n**4 + 0 + 1/4*n**5 + 0*n**3 + 0*n.
n**4*(n + 2)/4
Determine i, given that -3*i**3 + 5*i**2 + 1 + 2 + 4*i**2 - 9*i = 0.
1
Let c(u) be the second derivative of -3*u**5/20 + 3*u**4/4 + 2*u**3 - 76*u. Find y, given that c(y) = 0.
-1, 0, 4
Factor 0 + 2/5*l**3 - 2/5*l**4 + 4/5*l**2 + 0*l.
-2*l**2*(l - 2)*(l + 1)/5
Let v = 64 - 64. Factor v - 2/5*n + 2/5*n**2.
2*n*(n - 1)/5
Let -2/7*x + 0 - 2/7*x**2 = 0. Calculate x.
-1, 0
What is b in 9*b**2 + 3*b**3 - 2*b**4 + 5*b**4 + b**2 - 16*b**2 = 0?
-2, 0, 1
Let v(y) be the second derivative of y**7/84 - y**6/60 - 12*y + 1. Find u, given that v(u) = 0.
0, 1
Suppose -13*b + 3*b = -30. What is j in 21/2*j + 3 + 3*j**b + 21/2*j**2 = 0?
-2, -1, -1/2
Let m(r) be the third derivative of -r**8/84 - 2*r**7/35 - r**6/15 + 2*r**5/15 + r**4/2 + 2*r**3/3 - 4*r**2. Factor m(f).
-4*(f - 1)*(f + 1)**4
Let s(i) be the second derivative of 1/120*i**6 + i**2 + 1/15*i**5 + 0 + 5/24*i**4 + 2*i + 1/3*i**3. Let r(c) be the first derivative of s(c). Factor r(q).
(q + 1)**2*(q + 2)
Let y(f) = -2 + 0 - f - 1. Let u be y(-6). Determine w so that 4*w**2 - 4*w**3 + 6*w**u + 2*w + 0*w**2 = 0.
-1, 0
Let k(n) be the first derivative of 7*n**6/8 - 39*n**5/10 + 51*n**4/8 - 4*n**3 - 3*n**2/8 + 3*n/2 - 4. Let k(h) = 0. What is h?
-2/7, 1
Let h(g) be the third derivative of -g**5/210 - g**4/84 - 13*g**2. Factor h(w).
-2*w*(w + 1)/7
Let d(k) = k**2 + 8*k - 9. Let w be ((-5)/(-15))/((-1)/(-18)). Let r(p) = -p**2 - 9*p + 10. Let z(i) = w*r(i) + 7*d(i). Find u, given that z(u) = 0.
-3, 1
Let q be (151 - 151) + 2/1 + -2. Find t, given that 0*t - 1/2*t**3 + q*t**2 + 0 = 0.
0
Suppose 3*x = -15, 11 + 9 = p - 3*x. Determine j, given that j**5 - j**2 + 0*j**2 + 0*j**p + j**4 - j**3 = 0.
-1, 0, 1
Determine u so that 8/3*u**3 + 2/3 - 8/3*u - 2/3*u**2 = 0.
-1, 1/4, 1
Let i(w) be the second derivative of 3*w**5/20 + w**4/2 - w**3/2 - 3*w**2 - 12*w. Determine u so that i(u) = 0.
-2, -1, 1
Let g(y) be the first derivative of -1/6*y**3 + 1/8*y**2 + 0*y - 2 + 1/16*y**4. Suppose g(t) = 0. Calculate t.
0, 1
Suppose -2*f - 5*q = 4, -2*f - 2*f + q = -14. Suppose v = -3*m - 6 + 20, -2*m + 13 = -f*v. Factor 5*u**2 - u + 0*u**4 - u**3 + u**5 - 2*u**3 - m*u**4 + 3*u**5.
u*(u - 1)**2*(u + 1)*(4*u - 1)
Suppose -3*w - 5*w + 40 = 0. Let l(z) be the third derivative of 1/210*z**w - 1/21*z**3 + z**2 + 1/84*z**4 - 1/420*z**6 + 0*z + 0. Factor l(g).
-2*(g - 1)**2*(g + 1)/7
Let c(d) be the first derivative of -2*d**5 - 37*d**4/2 - 36*d**3 + 64*d**2 + 64*d - 23. Determine t, given that c(t) = 0.
-4, -2/5, 1
Let o be 2 + -5 + (5 - 0). Let z be o + (2 + 1)*-2. Let n(b) = -2*b**3 - 6*b. Let a(u) = -6*u**3 + u**2 - 17*u. Let i(s) = z*a(s) + 11*n(s). Factor i(h).
2*h*(h - 1)**2
Let s be 2 + -2 + 1 - -1. Let z be 3 - (3 + -2 + s). Determine a so that z*a + 0 - 1/5*a**5 - 1/5*a**3 + 0*a**2 - 2/5*a**4 = 0.
-1, 0
Let y be 27/12 - 4/16. Let