s g?
-2, 0
Let m = -4 + 8. Suppose 3*v + c - 12 = -0*c, -m*v + 5*c + 35 = 0. Factor 2 - 2*j**3 + 4*j**4 + 6*j**5 - 8*j**v - 2.
-2*j**3*(j - 1)**2
Determine h so that -3/2*h**3 + 3 - 4*h**2 + 5/2*h = 0.
-3, -2/3, 1
Let c(i) = 21*i**3 + 29*i**2 + 61*i + 31. Let h(u) = 4*u**3 + 6*u**2 + 12*u + 6. Let z(k) = -2*c(k) + 11*h(k). Factor z(y).
2*(y + 1)**2*(y + 2)
Let u(o) be the first derivative of -o**6/6 + 9*o**5/5 - 23*o**4/4 + 7*o**3/3 + 12*o**2 - 16*o - 24. Find i such that u(i) = 0.
-1, 1, 4
Let o = -115 + 117. Factor -2/3 + 2/9*q**o - 4/9*q.
2*(q - 3)*(q + 1)/9
Let z(y) = y**2 - 7*y + 9. Let w be z(6). Factor 2*v**3 + 2*v**4 - 2*v**2 + 0*v**5 + w*v**5 - 5*v**5 + 0*v**4.
-2*v**2*(v - 1)**2*(v + 1)
Let m(r) be the third derivative of r**8/84 + 4*r**7/105 - 2*r**5/15 - r**4/6 - 16*r**2. Find x such that m(x) = 0.
-1, 0, 1
Let f be ((-1)/2)/1*-16. Let p(h) = -h**2 + 8*h. Let n be p(f). Suppose n*c**2 + 0 + 1/4*c**3 + 0*c = 0. What is c?
0
Let t(n) be the second derivative of -n**6/105 + 2*n**5/35 + n**4/42 - 4*n**3/21 + 2*n. Factor t(j).
-2*j*(j - 4)*(j - 1)*(j + 1)/7
Let l(s) be the second derivative of -s**6/240 - s**5/60 - s**4/48 - 3*s**2 + s. Let f(y) be the first derivative of l(y). Suppose f(h) = 0. Calculate h.
-1, 0
Let x(y) = y**3 + 6*y**2 + 31*y + 66. Let q be x(-3). Determine w, given that 2/11*w - 2/11*w**2 + q = 0.
0, 1
Let l(i) be the first derivative of -4*i + i**3 - 3*i + 4*i + 1. Determine j, given that l(j) = 0.
-1, 1
Let a be -1*(40/10)/(-1 + -1). Factor 2*q**2 + a*q + 2/3 + 2/3*q**3.
2*(q + 1)**3/3
Let k(i) be the third derivative of i**7/735 + i**6/420 - i**5/42 + i**4/28 - 4*i**2. Let k(r) = 0. Calculate r.
-3, 0, 1
Let m be (-2)/(-45) - 0/12. Let f(x) be the second derivative of m*x**6 + x + 0*x**4 - 1/63*x**7 - 1/30*x**5 + 0*x**2 + 0*x**3 + 0. Factor f(z).
-2*z**3*(z - 1)**2/3
Let c(m) = 3*m**3 + 2*m**2 - 3*m. Let z(i) = -i**3 - i**2 + 1. Let w(t) = t - 1. Let x be w(-1). Let g(b) = x*z(b) - c(b). Factor g(h).
-(h - 1)**2*(h + 2)
Let a = -217 + 222. Determine l so that 0 + 1/2*l**2 + l**a - 1/2*l**4 - l**3 + 0*l = 0.
-1, 0, 1/2, 1
Let n be 2376/2420 + (-8)/10. Find o such that 2/11 + 4/11*o + n*o**2 = 0.
-1
Suppose 5*f + 0 = 2*m + 2, 5*m - 5*f - 10 = 0. Let y be 4/(-6)*(-4)/m. Determine h, given that 4/3*h**5 + 0 - 2*h**3 + 2/3*h - y*h**4 + 2/3*h**2 = 0.
-1, -1/2, 0, 1
Let z = 19 + -17. Let a(p) be the third derivative of 0*p**3 + 0*p - p**z + 0 - 1/144*p**4 - 1/360*p**5. Determine m so that a(m) = 0.
-1, 0
Let p(o) = 8*o**3 - 8*o**2 - 6*o. Let a(h) = -7*h**3 + 7*h**2 + 6*h. Let i(x) = -5*a(x) - 4*p(x). Suppose i(j) = 0. Calculate j.
-1, 0, 2
Suppose -1/2*n**2 - 8 - 4*n = 0. What is n?
-4
Suppose 4*p + 0*p - 8 = 0. Let t = 323/2 - 161. Factor 1 - 1/2*q**p - t*q.
-(q - 1)*(q + 2)/2
Let v = -3389/30 - -113. Let m(z) be the third derivative of -1/4*z**4 + 0*z + v*z**5 + 2/3*z**3 - z**2 + 0. Factor m(h).
2*(h - 2)*(h - 1)
Let y be -33*(-2)/6 + -1. Let m = 10 - y. Factor -4/3*w**2 + m + 4/3*w**3 + 0*w - 1/3*w**4.
-w**2*(w - 2)**2/3
Let g = -12 + 20. Determine h, given that -95*h**2 + 8 + 14*h**3 - g*h - 6*h**3 + 33*h**4 + 17*h**2 + 37*h**4 = 0.
-1, -2/5, 2/7, 1
Factor l**2 + 9*l**2 + 980 - 77*l - 63*l - 5*l**2.
5*(l - 14)**2
Let z(g) be the third derivative of -g**8/140 - 26*g**7/525 - 19*g**6/150 - 11*g**5/75 - g**4/15 - 23*g**2. What is o in z(o) = 0?
-2, -1, -1/3, 0
What is l in 2/17*l**2 + 0 - 2/17*l = 0?
0, 1
Let w(s) be the first derivative of 3*s**5/5 - 9*s**4/4 + 3*s**3 - 3*s**2/2 - 3. Factor w(r).
3*r*(r - 1)**3
Let l(c) be the first derivative of 0*c + 5/12*c**4 - 1/6*c**2 - 2 - 1/5*c**5 - 1/9*c**3. Factor l(d).
-d*(d - 1)**2*(3*d + 1)/3
Factor -1/2*w**3 + 1/4*w**5 + 0*w**4 + 1/4*w + 0 + 0*w**2.
w*(w - 1)**2*(w + 1)**2/4
Let g be ((-1)/(-120))/(4/10). Let i(s) be the third derivative of 0*s - g*s**4 + s**2 + 0 + 1/240*s**6 + 1/120*s**5 - 1/12*s**3. Find h such that i(h) = 0.
-1, 1
Let x(u) = 35*u**3 + 34*u**2 - 5*u - 4. Let g = 7 + -4. Let h(y) = 17*y**3 + 17*y**2 - 2*y - 2. Let l(z) = g*x(z) - 5*h(z). Factor l(s).
(s + 1)*(4*s + 1)*(5*s - 2)
Suppose -5*o = -3*l - 14, -l + 4*o = 3*o + 2. Suppose -4/7 + 2/7*t**l + 2/7*t = 0. What is t?
-2, 1
Suppose h - 6*h = 0. Suppose 2*t - 2*k - 2 = 0, t + 2*t - k - 9 = h. Factor -8/5 + 8/5*o - 2/5*o**t - 4/5*o**3 + 6/5*o**2.
-2*(o - 1)**2*(o + 2)**2/5
Suppose 0 - 8/17*t + 2/17*t**2 = 0. What is t?
0, 4
Let v be 1273/17 - (-6)/51. Let u be ((-10)/v)/(2/(-20)). Factor -2/3*o**2 - 2/3*o**3 + 0 + u*o.
-2*o*(o - 1)*(o + 2)/3
Let h(j) be the first derivative of j**3/3 + 7*j**2/2 + 6*j - 2. Let w be h(-6). Suppose w - 2/3*b**3 + 0*b**2 - 2/3*b**4 + 0*b = 0. What is b?
-1, 0
Let s(x) be the third derivative of 8/35*x**6 + 7*x**2 + 0*x - 12/35*x**5 + 3/14*x**4 - 1/14*x**3 + 0. Suppose s(k) = 0. What is k?
1/4
Suppose -3*g + 2*g + 2 = 0. Let t = 6 - 6. Solve 0*y**3 - 2*y**2 + 0*y**g + y + y**3 + t*y**3 = 0.
0, 1
Let l(s) be the third derivative of 0*s**3 - 1/1050*s**7 + 0*s**4 + 0*s**5 + 0*s + 0 + 1/600*s**6 + 4*s**2. Suppose l(y) = 0. Calculate y.
0, 1
Factor -10 - 1 - 1 + 3*n**2.
3*(n - 2)*(n + 2)
Let l(i) be the second derivative of -i**7/1680 + i**6/120 - i**5/20 - i**4/2 + 5*i. Let y(t) be the third derivative of l(t). Factor y(h).
-3*(h - 2)**2/2
Let z be (-17245)/6127 + 4 + -1. Let d = z + -2/557. Factor 0 + 2/11*b**2 - 2/11*b**5 - 2/11*b**4 + d*b**3 + 0*b.
-2*b**2*(b - 1)*(b + 1)**2/11
Let n(g) = 5*g**3 + 21*g**2 + 9*g - 25. Let f(x) = x**3 + 5*x**2 + 2*x - 6. Let c(h) = 9*f(h) - 2*n(h). Suppose c(w) = 0. What is w?
-1, 2
Let s(x) be the first derivative of 4*x**7/147 - x**6/15 + x**5/35 + x**4/42 + 2*x - 2. Let r(b) be the first derivative of s(b). Factor r(v).
2*v**2*(v - 1)**2*(4*v + 1)/7
Let m(t) = t**3 - t**2 + t + 1. Let h(d) = 7*d**3 + 2*d**2 + 4*d + 4. Let o(c) = -h(c) + 4*m(c). Factor o(s).
-3*s**2*(s + 2)
Factor 0*q - 2/19*q**3 - 2/19*q**4 + 2/19*q**5 + 0 + 2/19*q**2.
2*q**2*(q - 1)**2*(q + 1)/19
Let u(o) be the first derivative of -o**5/2 - 17*o**4/8 - 7*o**3/2 - 11*o**2/4 - o - 7. Factor u(f).
-(f + 1)**3*(5*f + 2)/2
Let n(i) be the second derivative of i**7/840 + i**6/180 + i**5/120 - i**3/6 - 2*i. Let v(b) be the second derivative of n(b). Suppose v(t) = 0. What is t?
-1, 0
Let l(h) be the second derivative of h**7/105 + h**6/30 + h**5/30 - 5*h**2/2 + 5*h. Let d(c) be the first derivative of l(c). Factor d(p).
2*p**2*(p + 1)**2
Let a(b) be the second derivative of -1/6*b**4 + 0 - 2*b**2 + b**3 - 2*b. Solve a(r) = 0.
1, 2
Suppose 2*v + 3*p + 8 = -0, 2*p = -4*v. Factor 3/2*d + 1 + 1/2*d**v.
(d + 1)*(d + 2)/2
Let a be (12/(-80))/(1/(-5)). Let -1 + 1/4*c**4 + c**3 + a*c**2 - c = 0. Calculate c.
-2, -1, 1
Determine v, given that -4*v**2 + 4212*v**4 - 3*v - 4209*v**4 + 3*v**3 + v**2 = 0.
-1, 0, 1
Find b such that -2/11 + 2/11*b**2 + 0*b = 0.
-1, 1
Let b(c) be the second derivative of -2*c**7/231 + c**6/55 + 7*c**5/110 - 2*c**4/11 + 4*c**3/33 - 23*c. What is u in b(u) = 0?
-2, 0, 1/2, 1, 2
Let c(a) be the second derivative of 2*a**6/15 + a**5/5 - a**4/3 - 2*a**3/3 + 2*a. Find r such that c(r) = 0.
-1, 0, 1
Let z(q) be the third derivative of -q**7/35 - q**6/15 - q**5/18 - q**4/54 + 2*q**2 - 3*q. Factor z(k).
-2*k*(3*k + 1)**2*(3*k + 2)/9
Let i(w) be the first derivative of 7/5*w**5 + 9/4*w**4 + 2/3*w**3 + 0*w + 2 + 0*w**2. Suppose i(s) = 0. Calculate s.
-1, -2/7, 0
Factor 3/5*s + 3/5*s**2 + 0.
3*s*(s + 1)/5
Let f(o) be the third derivative of o**6/24 + o**5/2 - 5*o**4/24 - 5*o**3 + 8*o**2. Determine n so that f(n) = 0.
-6, -1, 1
Let v = -28 - -10. Let u be v/21*140/(-45). Factor -u + 8/3*p - 2/3*p**2.
-2*(p - 2)**2/3
Let o(s) be the first derivative of -s**6/2 + 3*s**5 - 27*s**4/4 + 7*s**3 - 3*s**2 + 25. Find v such that o(v) = 0.
0, 1, 2
Let t(v) = v. Let d be t(0). Let x(u) be the first derivative of -1/3*u**3 + 1/10*u**5 + 1/2*u + 3 + d*u**4 + 0*u**2. Factor x(g).
(g - 1)**2*(g + 1)**2/2
Let h be 2 - (-30)/(-18) - (-2)/12. Let -h*a**2 + 1/2*a + 0 = 0. What is a?
0, 1
Let k(w) be the second derivative of 3*w**6/200 - 3*w**5/50 + w**4/10 - w**3/6 - 3*w. Let d(f) be the second derivative of k(f). Solve d(m) = 0.
2/3
Let j(t) = t**3 + 8*t**2 + 8*t + 8. Let l be j(-7). Determine z, given that -l + 3 + 2*z**2 - 4*z**2 = 0.
-1, 1
Let g(x) be the second derivative of 5*x + 1/6