 1/4*t**4 - 5*t**2. Solve s(c) = 0.
1, 2
Let i be (1 - 1) + 1 - -1. Suppose -3*j = -i*j - 4. Factor 4*c - 2*c**3 - 2*c**2 + j*c - 4*c.
-2*c*(c - 1)*(c + 2)
Let r = 40 - 38. Let v = 6 + -3. Factor v*h - h + h**2 - 3*h**r.
-2*h*(h - 1)
Suppose 28*t**4 + 6*t**5 + 46*t**3 + 32*t**2 + 0*t**2 + 8*t - 3 + 3 = 0. What is t?
-2, -1, -2/3, 0
Let y(d) be the third derivative of d**6/180 + d**5/60 - d**4/6 + 5*d**3/6 + d**2. Let o(f) be the first derivative of y(f). Factor o(n).
2*(n - 1)*(n + 2)
Let g(z) = z**3 - 2*z**2 + z + 6. Let s(q) = -q**3 - q**2 - 1. Let c(b) = -2*g(b) - 4*s(b). Determine o, given that c(o) = 0.
-4, -1, 1
Let -18*r**3 - 3*r**5 - 15*r**4 - 3 - 35*r**3 + 23*r**3 - 30*r**2 - 15*r = 0. What is r?
-1
Let i be (-6)/(-9) - 2/3. Let w(g) be the third derivative of 2/315*g**7 - 1/180*g**6 + i*g**3 + 0*g + 2*g**2 + 0 + 0*g**5 + 0*g**4. Factor w(f).
2*f**3*(2*f - 1)/3
Let l be -2*((-6)/4 + -1). Suppose 0 = -l*t + 3*w + 7, 2*t - 4*t = 4*w - 8. Factor 1/4*h**t - 1/2 + 1/4*h.
(h - 1)*(h + 2)/4
Let k(b) be the third derivative of 0 - 1/10*b**5 - 1/4*b**4 + 0*b - 1/60*b**6 - 1/3*b**3 - b**2. Factor k(n).
-2*(n + 1)**3
Let m(g) = -g + 10*g**3 + 14*g**2 + 5*g + 4*g. Let f(s) = 2*s**3 - 25*s - s**2 + 24*s - 3*s**3. Let r(c) = -4*f(c) - m(c). Factor r(a).
-2*a*(a + 1)*(3*a + 2)
Let b(r) be the third derivative of r**7/210 + 13*r**6/480 + r**5/16 + 7*r**4/96 + r**3/24 + 8*r**2. Determine c so that b(c) = 0.
-1, -1/4
Let n = -3 + 7. What is g in -3*g**n - 1 + 0 + 1 - 3*g**2 + 6*g**3 = 0?
0, 1
Suppose 2*y = 5*y - 6. Suppose 1/4*n**3 + 0*n - 1/4*n**y + 0 = 0. Calculate n.
0, 1
Factor -2/3*w**4 + 26/3*w**3 + 500/3 - 30*w**2 - 50/3*w.
-2*(w - 5)**3*(w + 2)/3
Let t(g) be the second derivative of -g**6/20 - 3*g**5/40 + g**4/4 - 12*g. Find u such that t(u) = 0.
-2, 0, 1
Let t(q) = -q**2 - 6*q + 7. Let u be t(-7). Let l(i) be the first derivative of 0*i**3 - 1/20*i**4 + 0*i**2 + u*i + 0*i**5 + 1/30*i**6 - 2. Solve l(g) = 0.
-1, 0, 1
Let a(c) = 8*c**3 - 3*c**2 - 5. Let u(k) = 12*k**3 - 5*k**2 - 7. Let q(t) = -7*a(t) + 5*u(t). Factor q(p).
4*p**2*(p - 1)
Factor -2/3 - m - 1/3*m**2.
-(m + 1)*(m + 2)/3
Let l(i) be the first derivative of 5/4*i**4 + 4*i - 13/3*i**3 + 2 + 2*i**2. Find t, given that l(t) = 0.
-2/5, 1, 2
Let k(z) be the third derivative of -z**7/420 - z**6/180 + z**5/60 + z**4/12 - z**3/3 + 3*z**2. Let l(p) be the first derivative of k(p). Factor l(a).
-2*(a - 1)*(a + 1)**2
Let n(w) = 9*w**4 + 5*w**3 - 13*w**2 + 9*w - 3. Let j(q) = -5*q**4 - 3*q**3 + 7*q**2 - 5*q + 2. Let u(v) = 7*j(v) + 4*n(v). Solve u(h) = 0 for h.
-1, 1, 2
Let v = 649/8 + -81. Let b(q) be the third derivative of q**2 - 1/3*q**3 + 1/40*q**6 + 0 + 0*q + 1/210*q**7 - v*q**4 + 1/60*q**5. Factor b(i).
(i - 1)*(i + 1)**2*(i + 2)
Let t = 2 + 1. Factor 2*u**5 + 3*u**t + 3*u**3 + 2*u**2 - 5*u**5 + 6*u**4 + 5*u**5.
2*u**2*(u + 1)**3
Let j = -336 - -2360/7. Let 2/7*v + 12/7*v**3 + 2/7*v**5 - 8/7*v**4 + 0 - j*v**2 = 0. Calculate v.
0, 1
Let w(z) be the first derivative of -z**8/3360 + z**7/840 - z**5/120 + z**4/48 - 5*z**3/3 + 5. Let h(i) be the third derivative of w(i). Factor h(r).
-(r - 1)**3*(r + 1)/2
Factor 0 + 2/3*l**4 + 17/3*l**3 + 40/3*l**2 + 16/3*l.
l*(l + 4)**2*(2*l + 1)/3
Let l(u) be the first derivative of 1 + 2/15*u**3 - 1/5*u**2 + 0*u. Factor l(z).
2*z*(z - 1)/5
Let h(p) = -p**4 - 5*p**3 + p**2. Let m(g) = 6*g**2 - g. Let a be m(1). Let t(r) = a*r**3 - 9*r**3 + 3*r**3. Let q(s) = h(s) - 5*t(s). Solve q(l) = 0.
-1, 0, 1
Let d(h) be the first derivative of h**4/2 - 4*h**3/3 - 18. Suppose d(p) = 0. Calculate p.
0, 2
Let v(q) be the first derivative of -2 + 2/25*q**5 - 4/15*q**3 + 0*q**2 + 2/5*q + 0*q**4. Factor v(r).
2*(r - 1)**2*(r + 1)**2/5
Suppose 4*y + 12 = 28. Let s be 1/(-3) - (-10)/3. Suppose 6*z**2 - 4*z**2 - 6*z**s + 3*z**2 - 2*z + z**2 + 2*z**y = 0. What is z?
0, 1
Let g(a) = -24*a**3 + 14*a**2 + 30*a - 34. Let n(p) = 5*p**3 - 3*p**2 - 6*p + 7. Suppose 0 = 4*q - 2*q + 28. Let m(r) = q*n(r) - 3*g(r). Factor m(h).
2*(h - 1)**2*(h + 2)
Suppose -4*c + 32 = -0*c. Let n be (6 - 5)*6/c. Factor -1/4*w**2 - 1/2 - n*w.
-(w + 1)*(w + 2)/4
Suppose i + 2*h = -76, 4*i - 2 = -3*h - 311. Let g = 236/3 + i. Factor 0 + g*c + 0*c**4 + 0*c**2 + 2/3*c**5 - 4/3*c**3.
2*c*(c - 1)**2*(c + 1)**2/3
Let q = -104 - -4369/42. Let c(u) be the third derivative of -q*u**5 + 1/42*u**4 - u**2 + 0*u**3 + 0 + 0*u. Factor c(k).
-2*k*(5*k - 2)/7
Let v be (-21)/(-126) + -3*15/(-378). Factor 0*w + 0 + 2/7*w**3 + v*w**2.
2*w**2*(w + 1)/7
Let l(m) be the third derivative of m**5/120 - m**4/12 - 5*m**3/12 + 6*m**2. Solve l(a) = 0 for a.
-1, 5
Find a such that 0*a**5 + a - 5*a + 10*a**3 - 10*a**2 + 5 - 5*a**5 + 5*a**4 - a = 0.
-1, 1
Let r(w) = -w**2 - 10*w + 3. Let j be r(-10). Let m be 1 + (3 - 5) + j. Let 0 - 2/3*x - 2/3*x**m = 0. What is x?
-1, 0
Factor -304*p**3 + 1 + 156*p**5 - 98*p**4 - 432*p**2 - 168*p**5 - 256*p - 33.
-2*(p + 2)**4*(6*p + 1)
Let 8/9 + 4/9*y**2 - 4/3*y = 0. Calculate y.
1, 2
Let o(d) = d**3 + 7*d**2 + 6*d. Let p(z) = z**2 + z. Let h(j) = -o(j) + 3*p(j). Find v, given that h(v) = 0.
-3, -1, 0
Let -2/5 - 2/5*l**2 + 4/5*l = 0. Calculate l.
1
Let z be -8 + (3 - -2) + 42/10. Let z*a + 2/5*a**2 + 4/5 = 0. Calculate a.
-2, -1
Let c(z) be the first derivative of z**4/24 - z**3/18 - 4. Factor c(q).
q**2*(q - 1)/6
Let s(k) = -k**3 - 14*k**2 - k - 14. Suppose -71 = 4*f - 4*c + c, -f - 5*c = -11. Let x be s(f). Factor x + 1/2*i**2 + 0*i + 1/2*i**4 - i**3.
i**2*(i - 1)**2/2
Let x(c) = 3*c**3 - 5*c**2 - 4*c + 2. Let p(o) = -o**3 - o - 1. Let v(h) = 2*p(h) + x(h). Let b be v(6). Factor b - 2/5*d**2 + 0*d.
-2*d**2/5
Let t(a) be the third derivative of -2197*a**7/525 + 3211*a**6/300 - 39*a**5/5 + 41*a**4/15 - 8*a**3/15 - 13*a**2. Factor t(j).
-2*(j - 1)*(13*j - 2)**3/5
Let r(x) be the first derivative of 1/4*x**3 - 3/4*x + 0*x**2 + 3. Factor r(m).
3*(m - 1)*(m + 1)/4
Suppose -8*x = -9*x + 3. Let z(r) be the first derivative of -1/8*r**4 - 1/6*r**x + 0*r + 1 + 1/2*r**2. Factor z(v).
-v*(v - 1)*(v + 2)/2
Let o be 2 + (-9)/((-27)/(-4)). Factor 0*s**2 + 0 + o*s**4 + 2/3*s**3 + 0*s.
2*s**3*(s + 1)/3
Factor -4*j + 4*j**4 - j**2 + 9*j**2 - 5*j**3 - 3*j**4.
j*(j - 2)**2*(j - 1)
Let f(v) = 5*v**2 - 20*v - 6. Let s(k) = 70*k**2 - 280*k - 85. Let n(t) = 85*f(t) - 6*s(t). Solve n(z) = 0.
0, 4
Let o be 0/(-1) + (-4 - 6)/(-5). Determine u so that -2/5 + 6/5*u**4 - 4/5*u**o + 8/5*u - 8/5*u**3 = 0.
-1, 1/3, 1
Let z(p) be the third derivative of 5*p**8/2352 - 2*p**7/735 - p**6/840 - 16*p**2. Factor z(g).
g**3*(g - 1)*(5*g + 1)/7
Let u(o) be the first derivative of o**6/9 + 4*o**5/15 - 4*o**3/9 - o**2/3 + 2. Factor u(w).
2*w*(w - 1)*(w + 1)**3/3
Let m(v) be the third derivative of v**8/70560 + v**7/5880 + v**6/1260 - v**5/30 - 6*v**2. Let s(k) be the third derivative of m(k). Factor s(f).
2*(f + 1)*(f + 2)/7
Find j such that 13*j - 2*j - 16*j**2 + 0*j + 4*j**3 + j = 0.
0, 1, 3
Suppose -2*g + 226 = -4*s - 52, -g = s + 74. Let t = s - -220/3. Determine n, given that 8/3*n + 4/3 + 1/3*n**2 - 5/3*n**4 - 1/3*n**5 - t*n**3 = 0.
-2, -1, 1
Let x(z) be the first derivative of z**4/12 - 7*z**3/9 + z**2 + 10. What is p in x(p) = 0?
0, 1, 6
Suppose -5/2*x**2 - 10 + 10*x = 0. What is x?
2
Factor 1/11*z - 1/11*z**3 - 2/11 + 2/11*z**2.
-(z - 2)*(z - 1)*(z + 1)/11
Determine k, given that 3*k**3 + k - 3*k**3 - k**3 = 0.
-1, 0, 1
Let z(j) be the first derivative of j**3/9 + j**2/6 + 26. Factor z(i).
i*(i + 1)/3
Factor 0*j**2 + 0 + 2/5*j**3 + 0*j.
2*j**3/5
Suppose 0 = -5*j + 10. Let s be j/(-3) - 112/(-21). Factor 4/3 + s*b + 10/3*b**2.
2*(b + 1)*(5*b + 2)/3
Let c be (-21)/14 - (-7)/2. Suppose -c = -8*f + 22. Let 2/9*z**f + 2/9 - 2/9*z**2 - 2/9*z = 0. What is z?
-1, 1
Let h be (-231)/(-6)*(-24)/(-56). Factor 24*t**2 + 21/2*t**3 + h*t + 3.
3*(t + 1)**2*(7*t + 2)/2
Find a such that 2/7*a**3 + 2/7*a**4 + 0 - 8/7*a - 8/7*a**2 = 0.
-2, -1, 0, 2
Solve -2/5*m - 2/15*m**2 + 0 = 0.
-3, 0
Let y(h) = h**3 + 4*h**2 + h - 2. Let b be y(-3). Factor 0*w**2 - w**2 + 2*w**4 + 2*w**3 - 3*w**b.
-w**2*(w - 1)**2
Let z(l) be the third derivative of -l**5/180 + l**4/24 - l**3/9 + 4*l**2. Factor z(d).
-(d - 2)*(d - 1)/3
Suppose 2*g + 2*g + 12 = 0. Let r be 7 + (-6)/(0 - g). Factor 0 + 0*o**4 + 2/3*o + 0*o**2 - 4/3*o**3 + 2/3*o**r.
2*o*(o - 1)**2*(o + 1)**2/3
Let 