2 + 1/2*y**4. Solve t(m) = 0.
0, 1/4
Let y = -349 - -703/2. Factor -1/2*x - 2*x**3 + 0 - y*x**2.
-x*(x + 1)*(4*x + 1)/2
Let -6/7*d**2 + 4/7*d**3 + 0*d + 2/7 = 0. What is d?
-1/2, 1
Let o(k) be the third derivative of -k**8/26880 + k**6/2880 - k**4/8 + 4*k**2. Let a(j) be the second derivative of o(j). Suppose a(c) = 0. Calculate c.
-1, 0, 1
Let d(m) = -m**3 - 4*m**2 - 2*m + 3. Let l be d(-3). Suppose o - 5 + 1 = l. Factor 1/4*x**o + 0 + 0*x**3 + 0*x - 1/4*x**2.
x**2*(x - 1)*(x + 1)/4
Let f be -1 - ((-6)/(-5))/((-24)/60). Factor 0 + 1/2*v - 7/4*v**3 + 5/4*v**f.
-v*(v - 1)*(7*v + 2)/4
Factor 1/3*r**3 + 1/6*r**5 + 1/2*r**4 + 0*r**2 + 0*r + 0.
r**3*(r + 1)*(r + 2)/6
Let n(a) = 9*a**3 + 6*a**2 - 27*a + 12. Let y(h) = -h**4 + 8*h**3 + 7*h**2 - 26*h + 12. Let c(z) = 2*n(z) - 3*y(z). Solve c(v) = 0.
-2, 1, 2
Let t(w) = 3*w**5 - 11*w**4 + 4*w**3 - 2*w**2 - 2*w. Let a(u) = -12*u**5 + 45*u**4 - 15*u**3 + 9*u**2 + 9*u. Let b(z) = 2*a(z) + 9*t(z). Factor b(i).
3*i**3*(i - 2)*(i - 1)
Let z(j) = -j**2 - j - 1. Let h(s) = s**2 - 1. Let q(l) = l**3 - 2*l**2 - 4*l - 6. Let r(u) = -2*h(u) + q(u). Let c(y) = r(y) - 4*z(y). Factor c(t).
t**3
Suppose -12*f**2 + 40 - 45*f + 31*f**2 - 14*f**2 = 0. What is f?
1, 8
Let c be 1/(-2)*8/(-6). Let q(d) = d**3 - 4*d**2 + 4*d. Let j be q(3). Let 8/3*g**2 + 8/3*g**4 + c*g + 2/3*g**5 + 0 + 4*g**j = 0. Calculate g.
-1, 0
What is a in -2/9 + 2/9*a**2 + 0*a = 0?
-1, 1
Let m(r) be the first derivative of 1/2*r**6 + 3*r**3 - 1/5*r**5 - r**2 + 4 + 0*r - 9/4*r**4. Determine l so that m(l) = 0.
-2, 0, 1/3, 1
Let f be (-45)/2*3/(-15). Factor 3 + 3/2*n**2 - f*n.
3*(n - 2)*(n - 1)/2
Let z(h) be the first derivative of 0*h**3 + 1/4*h**2 - 1 - 1/8*h**4 + 0*h. Factor z(k).
-k*(k - 1)*(k + 1)/2
Let c(r) be the second derivative of 0*r**3 + 0*r**2 - r + 1/15*r**6 + 1/6*r**4 + 0 - 1/5*r**5. Factor c(s).
2*s**2*(s - 1)**2
Let k = 507509/3829 - 141/547. Let d = k - 132. Solve 2/7*f**2 - d*f - 4/7 = 0 for f.
-1, 2
Let s(w) be the third derivative of w**7/210 + w**6/60 - w**4/12 - w**3/6 - 9*w**2. Find p, given that s(p) = 0.
-1, 1
Let p be 0 + (14/(-12))/(-7). Let s(y) be the first derivative of -1/9*y**6 + p*y**4 + 1 - 1/5*y**5 + 4/9*y**3 - 1/3*y + 0*y**2. Find v, given that s(v) = 0.
-1, 1/2, 1
Let r(x) be the second derivative of x**7/189 - 2*x**6/135 + x**5/90 - 4*x. Factor r(m).
2*m**3*(m - 1)**2/9
Suppose 5*n = n + 12. Let x(k) be the third derivative of 0*k**4 - 2*k**2 - 1/24*k**n + 1/240*k**5 + 0 + 0*k. Factor x(m).
(m - 1)*(m + 1)/4
Let k(p) = -p**3 + p**2 + p. Let s = 6 + 0. Suppose s*n + 15 = 3*n. Let m(y) = -7*y**3 + 11*y**2 + y. Let v(o) = n*k(o) + m(o). Factor v(u).
-2*u*(u - 2)*(u - 1)
Let z(c) be the first derivative of 56*c**4 + 38*c**2 + 64/5*c**5 + 76*c**3 + 8*c + 3. Factor z(h).
4*(h + 1)*(h + 2)*(4*h + 1)**2
Suppose 0 = -5*m, 4*t = -0*m + m. Factor 0 + t*w**3 + 0*w - 2/7*w**4 + 2/7*w**2.
-2*w**2*(w - 1)*(w + 1)/7
Let c(o) be the third derivative of -o**5/140 - o**4/14 - 3*o**2. Factor c(q).
-3*q*(q + 4)/7
What is r in -140*r**3 - 744/5*r**2 - 32/5 - 196/5*r**4 - 272/5*r = 0?
-2, -1, -2/7
Let m be 10/6*2/20. Let i(v) be the first derivative of 0*v - 1/4*v**2 - 1 - m*v**3. Solve i(p) = 0 for p.
-1, 0
Let x(o) = 15*o**2 - 20*o + 15. Let c(i) = 7*i**2 - 10*i + 7. Let s(u) = 5*c(u) - 2*x(u). Solve s(d) = 0 for d.
1
Let r = 677/5 - 133. Let 8/5*d**2 - 2/5*d**5 + 16/5*d - r*d**3 + 0 - 2*d**4 = 0. What is d?
-2, 0, 1
Let r(z) be the first derivative of z**4/30 + 4*z**3/15 + 4*z**2/5 + z - 1. Let w(o) be the first derivative of r(o). Let w(i) = 0. Calculate i.
-2
Suppose -2*a - 3 = -2*f - 5*a, -2*f + 6 = 2*a. Determine u so that 2*u**3 + 2*u**4 + 2*u - u**3 + f*u**2 + 5*u**3 = 0.
-1, 0
Let k be -1*((-2)/(-1))/(-2). Let q = k - -1. Factor -1/3 - 1/3*v**q - 2/3*v.
-(v + 1)**2/3
Let p = 3028/3549 + 2/507. Suppose 4/7 - 2*a + p*a**2 = 0. What is a?
1/3, 2
Let j(w) be the third derivative of 0*w + 0*w**3 - 1/100*w**5 + 0 - 1/40*w**4 - 2*w**2. Determine m so that j(m) = 0.
-1, 0
Let s(k) be the first derivative of k**5/300 + k**4/40 + k**3/15 - 2*k**2 + 1. Let b(x) be the second derivative of s(x). Factor b(l).
(l + 1)*(l + 2)/5
Let r(l) be the second derivative of l**5/20 - 7*l**4/12 - l**3/6 + 7*l**2/2 + 17*l. Let i be r(7). Factor i*x + 2/5*x**2 - 2/5.
2*(x - 1)*(x + 1)/5
Let o(h) be the first derivative of 1/5*h**2 + 8/15*h**3 - 1/10*h**4 - 8/25*h**5 + 0*h - 1. Let o(j) = 0. Calculate j.
-1, -1/4, 0, 1
Let i = -107 + 107. Let w(a) be the first derivative of 1/3*a**2 + i*a - 3 + 2/9*a**3. Find f, given that w(f) = 0.
-1, 0
Let v(s) be the second derivative of s**8/2240 + s**7/840 - s**4/6 + 4*s. Let n(r) be the third derivative of v(r). Find i, given that n(i) = 0.
-1, 0
Let h(w) be the third derivative of w**8/336 + w**7/120 - 7*w**6/240 + w**5/80 + 43*w**2. What is t in h(t) = 0?
-3, 0, 1/4, 1
Find z, given that 0 - 5/3*z**3 - z - 7/3*z**2 - 1/3*z**4 = 0.
-3, -1, 0
Suppose 5 = 20*v - 19*v. Find m such that 0 - 8/5*m + 8*m**2 - 28*m**4 + 6/5*m**3 - 98/5*m**v = 0.
-1, 0, 2/7
Let h(w) be the first derivative of 7*w**4/40 - 2*w**3/5 + 3*w**2/20 + w/5 + 17. Factor h(s).
(s - 1)**2*(7*s + 2)/10
Let h = -16 - -20. Suppose 3*b = -4*d + 1 + 3, 2*b = d - 12. Factor d + h*r - 4 + 6*r**2 + 2*r**3.
2*r*(r + 1)*(r + 2)
Let s(u) be the second derivative of u**6/30 + u**5/4 + 2*u**4/3 + 2*u**3/3 - 18*u. Let s(f) = 0. Calculate f.
-2, -1, 0
Let b(k) = -k - 5. Let l be -3*14*(-3)/(-18). Let r be b(l). Factor y**r - 10*y**2 + 10*y - 4 + 3*y**2.
-2*(y - 1)*(3*y - 2)
Let c(h) be the second derivative of h**6/420 + h**5/210 + 2*h**2 - 3*h. Let m(i) be the first derivative of c(i). Factor m(x).
2*x**2*(x + 1)/7
Let l(i) = -10*i**2 + 12*i - 12. Let k(q) = -3*q**2 + 4*q - 4. Let a(p) = 14*k(p) - 4*l(p). Factor a(w).
-2*(w - 2)**2
Let z(j) be the first derivative of -3 + 0*j - 2/25*j**5 - 1/20*j**4 + 0*j**3 + 0*j**2 - 1/30*j**6. Factor z(d).
-d**3*(d + 1)**2/5
Let c = -2155/4 - -541. Factor -c*j**2 + 5/2*j**3 - 3/4*j + 1/2.
(j - 1)*(2*j + 1)*(5*j - 2)/4
Suppose -48/5*l**3 + 12/5*l**2 + 441/5*l**5 - 21*l**4 + 0*l + 0 = 0. What is l?
-1/3, 0, 2/7
Let c(t) be the second derivative of 1/6*t**4 + 0*t**2 + 1/6*t**3 + 2*t + 1/20*t**5 + 0. Factor c(h).
h*(h + 1)**2
What is w in 0*w**3 - 2/5*w**2 + 2/5*w**4 + 0 + 0*w = 0?
-1, 0, 1
Let a(w) = -w**2 + 10*w - 20. Let k be a(4). Let n(m) be the third derivative of 3*m**2 + 0 + 7/96*m**6 + 0*m + 59/240*m**5 + 1/6*m**3 + 7/24*m**k. Factor n(p).
(p + 1)*(5*p + 2)*(7*p + 2)/4
Suppose l = 4*l - 54. Suppose h + l = 5*s, -2*s + 0*s = 5*h - 18. Let 3*w**2 + 3*w**2 + 2*w - s*w**2 = 0. What is w?
-1, 0
Suppose 0 = 2*q + 2*q - 12. Let j = 1 + q. Factor v + 1/4*v**j + 5/4*v**3 + 2*v**2 + 0.
v*(v + 1)*(v + 2)**2/4
Let q(c) = 3*c**3 + c. Let s(k) = 10*k**3 + 4*k. Let h(l) = -7*q(l) + 2*s(l). Determine r so that h(r) = 0.
-1, 0, 1
Let j(v) be the first derivative of v**4/2 + 6*v**3 - 73. Factor j(k).
2*k**2*(k + 9)
Suppose -9*o**2 - 5*o**2 - 4*o**4 - 6*o**2 + 3*o + 16*o**3 + 5*o = 0. What is o?
0, 1, 2
Let t = 1 + 1. Solve -t*c - 12*c**3 + c**2 + 7*c**2 - 2*c**5 + 8*c**4 + 0*c**2 = 0 for c.
0, 1
Let j be 50/(-15) - -8 - 4. Determine f, given that j*f**2 - 1/3*f**4 + 0 + 1/2*f**3 - 1/6*f**5 - 2/3*f = 0.
-2, 0, 1
Let p(m) be the first derivative of 2*m**3/33 + 2*m**2/11 + 2*m/11 + 18. Factor p(n).
2*(n + 1)**2/11
Let r = 4 - 11/3. Factor -r*t**2 + 0*t + 0 + 1/3*t**3.
t**2*(t - 1)/3
Let r(z) be the third derivative of -z**6/540 - z**5/270 + z**2. Factor r(w).
-2*w**2*(w + 1)/9
Suppose 2*c + 4*j - 6 = -0*j, -j = -3*c + 9. Factor 0 - 4/7*y + 2/7*y**2 + 2/7*y**c.
2*y*(y - 1)*(y + 2)/7
Let m(l) = -l - 1. Let s(r) = 3*r**3 + 4*r**2 - 27*r + 17. Let k(z) = -4*m(z) - 4*s(z). Factor k(w).
-4*(w - 2)*(w + 4)*(3*w - 2)
Let s be (-5)/(-375)*10/4. Let z(a) be the third derivative of 0*a**4 + 0 + 0*a**3 - 1/35*a**7 + 1/168*a**8 - 2*a**2 + 1/20*a**6 + 0*a - s*a**5. Factor z(t).
2*t**2*(t - 1)**3
Let a(h) be the second derivative of -1/4*h**6 - 1/28*h**7 + 0 + 0*h**2 - 7*h + 0*h**3 - 3/5*h**5 - 1/2*h**4. Factor a(f).
-3*f**2*(f + 1)*(f + 2)**2/2
Let r(w) be the second derivative of w**9/1008 - w**7/140 + w**5/40 - w**3/3 - 4*w. Let p(s) be the second derivative of r(s). Solve p(z) = 0 for z.
-1, 0, 1
Let x(l) be the third derivative of l**8/13440 + l**