?
0, 9
Suppose -2 + 16/3*c**2 - 7/3*c**3 + 17/3*c = 0. Calculate c.
-1, 2/7, 3
Suppose 6*l = l + 20. Let u(y) be the third derivative of 0*y + 0*y**l + 1/180*y**5 + y**2 + 0*y**3 + 0. Solve u(q) = 0.
0
Let v(q) be the third derivative of 3*q**6/260 + q**5/65 + q**4/156 + 7*q**2. Find a such that v(a) = 0.
-1/3, 0
Let b = 31/40 + -7/40. Determine t, given that 6/5*t**2 + 3/5*t - 6/5 - b*t**3 = 0.
-1, 1, 2
Factor 0 - 1/4*i**2 + 0*i - 1/4*i**4 + 1/2*i**3.
-i**2*(i - 1)**2/4
Factor -12/7*r**2 - 8/7*r - 2/7 - 2/7*r**4 - 8/7*r**3.
-2*(r + 1)**4/7
Let d(w) be the third derivative of -w**6/60 + w**5/60 + w**4/6 + 5*w**3/6 + 5*w**2. Let t(z) be the first derivative of d(z). Let t(a) = 0. Calculate a.
-2/3, 1
Let w be 3/(-9)*((-1)/2 - 4). What is p in -p**3 + 1/4*p**4 + 1/4 + w*p**2 - p = 0?
1
Factor -1/3*r**3 + 0 + 0*r - 2/3*r**2.
-r**2*(r + 2)/3
Suppose 0 = 6*a - 3*a + 42. Let u be (-30)/a*(-2)/(-3). Find q, given that -4/7*q + 0 + 10/7*q**2 - 2/7*q**3 - u*q**4 + 6/7*q**5 = 0.
-1, 0, 2/3, 1
Suppose -3*s = 2*i - 6, 0 = -3*i - 4*s + s + 3. Let h be i/((-5)/(20/6)). Determine u so that 1/4*u**h - 1/4 + 1/4*u - 1/4*u**3 = 0.
-1, 1
Suppose 3/5*y**2 + 0 - 2/5*y**3 - 1/5*y = 0. What is y?
0, 1/2, 1
Let g(l) be the first derivative of -9*l**5/5 + 3*l**4/2 + 20*l**3/3 + 4*l**2 + 7. Factor g(y).
-y*(y - 2)*(3*y + 2)**2
Suppose -7*v + 4*v = -30. Suppose -v = -5*a, b - 2 - 6 = -4*a. Factor b*c + 0*c**4 - 9/5*c**3 + 12/5*c**5 + 0 - 3/5*c**2.
3*c**2*(c - 1)*(2*c + 1)**2/5
Let s(k) be the first derivative of k**3/12 + k**2/4 + k/4 + 3. Find q such that s(q) = 0.
-1
Find p such that -2*p**5 + 0*p**3 + 4*p**4 + 2*p**4 - 6*p**3 + 2*p**2 = 0.
0, 1
Suppose -6 + 26 = 5*b. Suppose -b*c - c = -20. Find r such that c*r - 2 - 2*r**2 + 2 = 0.
0, 2
Let g = -17999/180 + 100. Let v(o) be the third derivative of 0*o + 1/36*o**4 - 1/90*o**5 + 0 - g*o**6 + 1/9*o**3 + o**2. Let v(p) = 0. Calculate p.
-1, 1
Let c(r) be the second derivative of -r**5/40 + r**4/24 + r**3/12 - r**2/4 - 5*r. Factor c(u).
-(u - 1)**2*(u + 1)/2
Let a(s) be the third derivative of 1/390*s**5 + 3*s**2 - 1/780*s**6 + 0 + 0*s**3 + 0*s**4 + 0*s. Factor a(x).
-2*x**2*(x - 1)/13
Let u(d) be the first derivative of d**4/18 - 2*d**3/9 + 2*d**2/9 + 4. Factor u(w).
2*w*(w - 2)*(w - 1)/9
Factor 2/15*w**2 - 4/15*w - 2/5.
2*(w - 3)*(w + 1)/15
Suppose -3*t - 15 = 2*t. Let u be 9*t*1/(-9). Solve -6*z**5 + 3*z**3 - z**4 + 5*z**5 + u*z**4 - 4*z**3 = 0.
0, 1
Suppose 3*t - 12 = -p, 3*t - 4 = t. What is o in -4*o**2 - 3*o**2 + 8 - 7*o**2 + p*o**3 = 0?
-2/3, 1, 2
Let d = 2 - -5. Let f be (3 + -1)*d/49. Determine t so that 0*t + f*t**4 - 4/7*t**3 + 0 + 2/7*t**2 = 0.
0, 1
Let d(k) be the second derivative of 10/3*k**3 + 0 + 1/3*k**4 + 2/15*k**6 - 9*k - 4*k**2 - 7/5*k**5 + 4/21*k**7. Solve d(j) = 0 for j.
-2, -1, 1/2, 1
Determine p, given that 34/5*p - 92/5*p**2 + 56/5*p**3 + 96/5*p**4 - 18*p**5 - 4/5 = 0.
-1, 1/3, 2/5, 1
Let p = -30 - -34. Let x(s) be the second derivative of -1/6*s**3 - 1/3*s**p + 0 - 2/15*s**6 - 1/42*s**7 - 2*s - 3/10*s**5 + 0*s**2. Let x(o) = 0. Calculate o.
-1, 0
Let b(v) = v**3 + 9*v**2 + 7*v - 6. Let x be b(-6). Let w be (-5)/x + 2/6. Let -1/4*t**4 + 0 + 0*t + 0*t**2 - w*t**3 = 0. Calculate t.
-1, 0
Find o such that 0*o - 5/4*o**2 + 1/4*o**4 + 0*o**3 + 1 = 0.
-2, -1, 1, 2
Let l be -1 - -2 - (2 - 6). Let r be 14/(-21)*(-3)/l. Factor 1/5 - 2/5*m + 0*m**2 + r*m**3 - 1/5*m**4.
-(m - 1)**3*(m + 1)/5
Let h(g) be the second derivative of -g**5/60 + g**4/12 + 2*g**3/9 - 28*g. Suppose h(w) = 0. What is w?
-1, 0, 4
Let o(g) be the first derivative of g**6/3 - 46*g**5/35 + 27*g**4/14 - 26*g**3/21 + 2*g**2/7 + 8. Factor o(u).
2*u*(u - 1)**3*(7*u - 2)/7
Solve 15/2*l**3 - 15/2*l**4 + 0*l - 5/2*l**2 + 5/2*l**5 + 0 = 0.
0, 1
Factor -36*q**3 + 5*q**4 - 140*q + 556 + 115*q**2 - 4*q**3 - 496.
5*(q - 3)*(q - 2)**2*(q - 1)
Let w(d) be the third derivative of d**8/336 + d**7/30 + d**6/8 + 13*d**5/60 + d**4/6 + 3*d**2. Factor w(t).
t*(t + 1)**3*(t + 4)
Let n(c) = 9*c**2 + 1. Let h(s) be the third derivative of s**5/6 + s**3/3 + 2*s**2. Let d(o) = 5*h(o) - 6*n(o). Factor d(f).
-4*(f - 1)*(f + 1)
Let b = -3/314 + -361/27946. Let w = 85/178 - b. Find o, given that o - w*o**2 + 0 - 1/2*o**3 = 0.
-2, 0, 1
Let c = 28/2035 - 3/110. Let l = 145/222 - c. Factor -4/3*h**3 - 2/3*h**4 + l*h**5 + 4/3*h**2 + 2/3*h - 2/3.
2*(h - 1)**3*(h + 1)**2/3
Let w(a) be the second derivative of -a**4/20 - a**3/5 - 3*a**2/10 + 11*a. Let w(b) = 0. What is b?
-1
Let s be 2 - (156/60 + (-3)/5). Let o(a) be the first derivative of s*a + 1/25*a**5 - 1/20*a**4 - 1/15*a**3 - 3 + 0*a**2 + 1/30*a**6. What is g in o(g) = 0?
-1, 0, 1
Let v(x) be the first derivative of x**4/38 + 10*x**3/57 + 8*x**2/19 + 8*x/19 - 22. Suppose v(t) = 0. Calculate t.
-2, -1
Let a(l) be the third derivative of 1/8*l**3 - 1/32*l**4 - 1/80*l**5 + 0 + 0*l + 4*l**2 + 1/160*l**6. Factor a(h).
3*(h - 1)**2*(h + 1)/4
Let x(o) be the third derivative of o**8/448 - o**7/140 + o**5/40 - o**4/32 - 3*o**2. Factor x(v).
3*v*(v - 1)**3*(v + 1)/4
Suppose 4*p + 3*u = 16, -3*p - u + 6*u + 12 = 0. Let l(c) be the third derivative of -4*c**2 + 0*c + 4/3*c**3 + 1/30*c**5 + 1/3*c**p + 0. Factor l(q).
2*(q + 2)**2
Factor -4/3*t**2 + 0 + 2*t**3 + 0*t.
2*t**2*(3*t - 2)/3
Suppose 0 = -3*c - 2 + 8. Let h be (-12)/(-10)*(-25)/(-15). Find r, given that -2*r + 3*r + c*r + 2 + r**h = 0.
-2, -1
Solve -1236*u**3 + 1235*u**3 - u**4 + 0*u**4 = 0 for u.
-1, 0
Let f(u) be the first derivative of -2*u**5/5 - u**4 - 2*u**3/3 - 1. Find h, given that f(h) = 0.
-1, 0
Let n(s) be the first derivative of 3*s**6/2 + 12*s**5/5 - s**4/2 - 4*s**3/3 + s**2/2 + 5. Factor n(a).
a*(a + 1)**2*(3*a - 1)**2
Suppose 196 + 3155*q + 7*q**2 - 3211*q - 3*q**2 = 0. Calculate q.
7
Suppose -37*y + 3*y = -68. Factor 0*h + 0 + 2/7*h**y.
2*h**2/7
Let p(t) = -t**3 - t**2 - 2. Let s be p(-3). Suppose -s*q**2 + 19*q**2 + 12 + 0*q - 12*q = 0. Calculate q.
2
Let i(b) be the first derivative of -2*b**5/5 - 3*b**4/2 + 14. What is a in i(a) = 0?
-3, 0
Let i(d) be the first derivative of d**4/10 - d**2/5 + 25. Factor i(l).
2*l*(l - 1)*(l + 1)/5
Let a = -27 + 32. Find v such that 2*v**a - 6*v**3 + 0*v + 4*v**2 - v + 0*v + 4*v**4 - 3*v**5 = 0.
0, 1
Let a(w) be the third derivative of -w**8/20160 - w**7/1680 - w**5/60 - 4*w**2. Let r(g) be the third derivative of a(g). Factor r(v).
-v*(v + 3)
Let y(w) = 20*w**4 + 144*w**3 + 853*w**2 + 2315*w + 2293. Let g(n) = -7*n**4 - 48*n**3 - 284*n**2 - 772*n - 764. Let l(a) = -11*g(a) - 4*y(a). Factor l(v).
-3*(v + 4)**4
What is q in -37 + 9*q**3 - 6*q**3 + 37 - 2*q**2 + 5*q**4 = 0?
-1, 0, 2/5
Factor 22*y - 3 - 2*y**5 - 86*y**2 - 112*y**4 + 146*y**3 + 1 + 34*y**5.
2*(y - 1)**3*(4*y - 1)**2
Let m be 31/(1 + (-32)/25). Let v = m - -111. Factor 8/7*w**3 + 0 - v*w**2 + 0*w.
2*w**2*(4*w - 1)/7
Let w(c) be the second derivative of c**6/60 + c**5/75 - c**4/12 - 2*c**3/15 + c**2/2 + c. Let d(q) be the first derivative of w(q). Factor d(v).
2*(v - 1)*(v + 1)*(5*v + 2)/5
Let o = 10 - 7. Factor -3*g**2 + 3*g**3 + g**2 - o*g + 2*g**2 - 6*g**2 + 6.
3*(g - 2)*(g - 1)*(g + 1)
Factor 0*i + 1/5*i**3 + 0 + 2/5*i**2.
i**2*(i + 2)/5
Let k(r) be the first derivative of -r**6/360 - r**5/30 - r**4/8 + r**3/3 + 5. Let m(t) be the third derivative of k(t). Factor m(a).
-(a + 1)*(a + 3)
Let o(d) be the second derivative of d**4/66 - 29*d. Suppose o(j) = 0. Calculate j.
0
Let v(d) be the third derivative of d**6/120 - d**5/40 + d**3/3 - 3*d**2. Let b(h) be the first derivative of v(h). Solve b(r) = 0.
0, 1
Let q = 46/65 - 4/13. Suppose -c - 8 = -3*c. Factor -2/5*y**c - 2/5*y + 2/5*y**2 + 0 + q*y**3.
-2*y*(y - 1)**2*(y + 1)/5
Let r(a) be the first derivative of 1/60*a**4 - 1/30*a**3 - 2*a**2 - 1/300*a**5 + 0*a + 4. Let u(y) be the second derivative of r(y). Factor u(s).
-(s - 1)**2/5
Let d(i) be the first derivative of -5*i**4/4 + 10*i**3 - 30*i**2 + 40*i + 38. Find h such that d(h) = 0.
2
Let g = 85 + -83. Factor -4/7 - g*p**2 - 18/7*p.
-2*(p + 1)*(7*p + 2)/7
Let l(p) be the second derivative of p**10/90720 - p**9/45360 + p**4/12 - 2*p. Let x(q) be the third derivative of l(q). Find v, given that x(v) = 0.
0, 1
Factor -3*d**2 - 4*d**2 + d**2 + 8*d**2.
2*d**2
Let y = 15865/6 - 2632. Let r(v) be the first derivative of -112/15*v**5 - 11/3*v**2 - 2/3*