(r) = 0. What is r?
-1, 0, 2/3
Let g = 10171/9 + -1132. Let w = -14/9 - g. Factor -2/3*h**3 + w*h**5 + 0 + 0*h**2 + 1/3*h + 0*h**4.
h*(h - 1)**2*(h + 1)**2/3
Let o be (-36)/(-32) + (-1 - 0/(-2)). Let s(z) be the second derivative of o*z**2 + 0 + 2*z - 1/16*z**4 + 1/12*z**3. Factor s(u).
-(u - 1)*(3*u + 1)/4
Let h(n) be the first derivative of 0*n**3 - 1 + 0*n**5 + 1/4*n**4 + 0*n - 1/12*n**6 - 1/4*n**2. Factor h(u).
-u*(u - 1)**2*(u + 1)**2/2
Solve -32/9*u - 40/9*u**3 - 7/9*u**4 + 16/9 - 8*u**2 = 0.
-2, 2/7
Let c = -5 - -5. Suppose k + k = c. Factor 0*a - 1/4*a**4 + k - 1/4*a**2 + 1/2*a**3.
-a**2*(a - 1)**2/4
Let j(p) be the second derivative of -5*p**7/252 - p**6/18 + p**5/24 + 5*p**4/36 - 35*p - 1. Suppose j(a) = 0. What is a?
-2, -1, 0, 1
Let t(u) be the third derivative of 0 + 0*u + 1/24*u**3 - 1/240*u**5 + 2*u**2 + 0*u**4. Suppose t(r) = 0. What is r?
-1, 1
Factor -1/4*y**2 - 1/2 + 3/4*y.
-(y - 2)*(y - 1)/4
Let x(g) = -g**3 - 6*g**2 - 3*g - 2. Let k be x(-6). Suppose -7*m + k = -3*m. Factor 2/3*j**m + 4/3*j + 0*j**2 - 2/3 - 4/3*j**3.
2*(j - 1)**3*(j + 1)/3
Let i(b) be the first derivative of -2*b - 1/2*b**2 + 1/3*b**3 + 7. Solve i(c) = 0.
-1, 2
Let o be 2*(-15)/20*-4. Let l = -6 + o. Let 1/5 + l*i - 1/5*i**2 = 0. Calculate i.
-1, 1
Let u = 196 - 193. Solve 0 + 1/3*g**4 + 1/3*g**u - 1/3*g - 1/3*g**2 = 0 for g.
-1, 0, 1
Let x = -128 + 1281/10. Let y(k) be the second derivative of 2/15*k**3 + 2*k + 0 + 1/10*k**4 + 1/150*k**6 + 1/25*k**5 + x*k**2. Find d, given that y(d) = 0.
-1
Suppose -5*m = -5, -9 - 2 = -5*c - m. Let 0 - 2*n**4 + 0*n**c + 8/3*n**5 + 0*n + 1/3*n**3 = 0. Calculate n.
0, 1/4, 1/2
Let p(c) = 3*c**4 + 21*c**3 + 8*c**2 + 5. Let j(m) = -4*m**4 - 4*m**2 - 10*m**3 - 6 + 4 + 2*m**4. Let k(z) = 5*j(z) + 2*p(z). Let k(d) = 0. Calculate d.
-1, 0
Let s(x) = -2*x**2 + 3*x - 7. Let b(m) = -m**2 + m - 1. Let y(d) = 3*b(d) - s(d). Factor y(k).
-(k - 2)*(k + 2)
Let m(y) be the second derivative of y + 0 + 1/150*y**6 - 2/15*y**3 + 1/50*y**5 - 1/20*y**4 + 2/5*y**2. Factor m(r).
(r - 1)**2*(r + 2)**2/5
Let d be -1*(-2 + (-30)/(-16)). Let f = d - -29/24. Factor -1/3*i**3 + 0 + 4/3*i**4 - f*i**2 + 1/3*i.
i*(i - 1)*(i + 1)*(4*i - 1)/3
Suppose -6*h + 3*h = 0. Let d(n) be the third derivative of 0*n**3 - n**2 + 1/630*n**7 + 0*n - 1/72*n**4 + 1/360*n**6 - 1/180*n**5 + h. Factor d(c).
c*(c - 1)*(c + 1)**2/3
Factor 5*f**2 + 10*f - 10*f - 4*f - f**2.
4*f*(f - 1)
Let t(g) be the first derivative of 0*g - 6 + 9/2*g**2 + g**3. Factor t(z).
3*z*(z + 3)
Let s(d) be the third derivative of d**8/100800 - d**6/3600 - d**5/20 + d**2. Let n(b) be the third derivative of s(b). Find l such that n(l) = 0.
-1, 1
Suppose -5*v = -2*u + 40, -104 + 39 = 4*v + 5*u. Let w be 4/v*10/(-2). Factor w*g - 3*g - g**3 + 2*g**3.
g*(g - 1)*(g + 1)
Let f(s) be the third derivative of 2*s**6/15 + 4*s**5/5 - 5*s**4/2 + 8*s**3/3 + 9*s**2. Solve f(c) = 0.
-4, 1/2
Let c(f) be the third derivative of f**7/490 + f**6/70 + f**5/140 - 3*f**4/28 + 61*f**2. Find i such that c(i) = 0.
-3, -2, 0, 1
Let s(b) be the first derivative of 4*b**5/5 + 6*b**4 + 52*b**3/3 + 24*b**2 + 16*b + 24. What is o in s(o) = 0?
-2, -1
Let y(c) be the second derivative of c**7/3780 + c**6/540 + c**5/180 + c**4/108 - c**3/3 - c. Let l(r) be the second derivative of y(r). Factor l(d).
2*(d + 1)**3/9
Let g be 3 + (0 - 2) - -1. Factor -1/4 - 3/4*a**g + a.
-(a - 1)*(3*a - 1)/4
Let j(x) be the third derivative of -x**7/1365 + x**6/390 - x**5/390 - 2*x**2. Solve j(o) = 0.
0, 1
Let m(r) be the third derivative of 0*r**3 + 0*r + 1/180*r**5 + 0 + 2/315*r**7 - 2*r**2 - 7/720*r**6 - 1/672*r**8 + 0*r**4. Suppose m(y) = 0. What is y?
0, 2/3, 1
Suppose 14 = 2*m - 3*r, 4*r + 0 = -4*m + 8. Factor z**5 + z**3 + 0*z**3 + 2*z**m + 0*z**5.
z**3*(z + 1)**2
Suppose 0 - 3*f**4 - 4*f**2 + 13*f**2 + 0 - 6*f = 0. Calculate f.
-2, 0, 1
Suppose h - 3 + 4 = 0, -11 = -4*q - 5*h. Suppose -5*x = -5*w, 0*x = q*x. Factor 0*m + w*m**3 - 1/2*m**4 + 0 + 1/2*m**2.
-m**2*(m - 1)*(m + 1)/2
Let x(p) = -3*p**3 - p**2 - 5*p - 1. Let y(n) = -7*n**3 - n**2 - 11*n - 2. Let l be (-1)/(-2)*4 - 7. Let m(u) = l*x(u) + 2*y(u). Factor m(i).
(i + 1)**3
Let m = -1083/7 - -155. Let d = 6295/7 + -897. Factor m + 32/7*t**2 + d*t.
2*(4*t + 1)**2/7
Let d be (524/(-12))/(1/(-3)). Let k = d + -653/5. Suppose 4/5*w**2 - 2/5*w + 0 - 4/5*w**4 + 0*w**3 + k*w**5 = 0. What is w?
-1, 0, 1
Suppose -5*o = -4*n, 3*n = 3*o - 5*o. Let i = 2 - n. Factor 0*h + 1/3*h**i - 1/3.
(h - 1)*(h + 1)/3
Let n(g) = -11*g**3 + g**2 - 41. Suppose -v - 71 + 4 = 0. Let x = -33 - v. Let j(a) = -2*a**3 - 7. Let t(s) = x*j(s) - 6*n(s). Factor t(p).
-2*(p - 1)*(p + 2)**2
Let o be 3/(-2)*(-12)/27. Suppose h = -5*m + 12 + 8, -20 = -4*h - 5*m. Factor -o*a**3 + h - 2/3*a + 4/3*a**2.
-2*a*(a - 1)**2/3
Let a be (-4)/(3*(-4)/(-6)). Let o(b) = -2*b. Let c be o(a). Let -2*p**3 + p**c + 3*p - p + 6 - 7 = 0. What is p?
-1, 1
Let w = -1 - -5. Let s(h) = h + 5. Let b be s(-3). Determine y, given that -y - b*y - y**3 + w*y = 0.
-1, 0, 1
Suppose 3*t - 11 = -2. Determine n, given that 0*n**2 - 3*n - 3*n**3 - t*n**2 + 2*n**3 - 3 + 2 = 0.
-1
Let f = -20 + 20. Let a(g) be the second derivative of g + 0*g**3 + f*g**2 - 1/36*g**4 + 0. Let a(h) = 0. Calculate h.
0
Let d(h) = h - 1. Let x be d(3). Suppose 3*t - 8 = 3*u - x, 12 = 2*t + 2*u. Factor -2*v**3 + 0 - 1/2*v**5 + 0*v**2 + 0*v - 2*v**t.
-v**3*(v + 2)**2/2
Let p(t) = t**2 + 9*t - 16. Let z be p(-11). Find o, given that 10*o - 2*o + z + o + 3*o**2 = 0.
-2, -1
Let m be 3 + ((-20)/(-12))/5*-3. Let g(z) be the second derivative of 2*z + 1/60*z**5 + 0*z**3 + 0*z**m + 0 - 1/36*z**4. Factor g(c).
c**2*(c - 1)/3
Solve -2*r**3 - 26*r**4 + 2*r**5 + 19*r**4 + r**3 + 4*r**3 = 0 for r.
0, 1/2, 3
Let d(v) be the first derivative of 2*v + v**2 + 1/6*v**4 + 3 - 2/3*v**3. Let w(m) be the first derivative of d(m). Determine r so that w(r) = 0.
1
Let a = -3 + 8. Factor -1 + 1 + a*k**3 - 4*k**3.
k**3
Find l such that -2/3*l**3 + 4/3*l**2 - 4/3 + 2/3*l = 0.
-1, 1, 2
Let w = 457/6 + -76. Let t(o) be the first derivative of 0*o**2 + w*o**4 + 0*o - 2/9*o**3 + 2/15*o**5 - 1/9*o**6 - 2. Factor t(u).
-2*u**2*(u - 1)**2*(u + 1)/3
Let w(y) = y**2 + 1. Let r(k) = 9*k**2 + 15*k - 16. Let c(j) = -r(j) + 4*w(j). Factor c(u).
-5*(u - 1)*(u + 4)
Let t(x) be the second derivative of x + 2*x**3 + x**2 + 7/3*x**4 + 0 + 8/5*x**5 + 2/21*x**7 + 3/5*x**6. Factor t(c).
2*(c + 1)**4*(2*c + 1)
Let l be 6*(-5)/10 + (-112)/(-24). Solve 10*n**2 + 4/3*n + 23/3*n**3 - 8/3 + l*n**4 = 0 for n.
-2, -1, 2/5
Let a be (5 - (-1 - -9))/(-15). Factor -a*z**2 + 2/5 + 1/5*z.
-(z - 2)*(z + 1)/5
Let j be 2/((-10)/(-3)) - (-9)/10. Let m(s) be the first derivative of s + 3 + s**3 + j*s**2 + 1/4*s**4. Find d, given that m(d) = 0.
-1
Suppose b + 5 + 2 = 0. Let v(a) = -a**2 - 3. Let c(w) = 4*w**2 + 10. Let p(n) = b*v(n) - 2*c(n). Factor p(o).
-(o - 1)*(o + 1)
Let r(g) be the second derivative of 3*g**5/20 - g**4/2 - g**3/2 + 3*g**2 - 6*g. Factor r(i).
3*(i - 2)*(i - 1)*(i + 1)
Let a be -1 + 3/1 - 0. Let z(d) = -2*d - 3. Let l be z(-4). Factor -r + 0*r - 2*r**4 - r**l + a*r**2 + 2*r**5.
r*(r - 1)**3*(r + 1)
Let t(x) = -x**4 - x**3 + 2*x**2 - 2*x + 2. Let w(r) = -6*r**4 - 6*r**3 + 13*r**2 - 13*r + 13. Let l(v) = 39*t(v) - 6*w(v). Solve l(k) = 0 for k.
-1, 0
Suppose -18 = -4*g - 6. Let b(z) be the second derivative of -1/3*z**g + 0 - z - 1/2*z**2 - 1/12*z**4. Let b(n) = 0. What is n?
-1
Let t = -1/178 - -401/89. Find c, given that -3/2*c**4 + 1 + 9/2*c**2 + 1/2*c**3 - t*c = 0.
-2, 1/3, 1
Let n(w) be the second derivative of w**4/20 - 3*w**2/10 - 49*w. Find i, given that n(i) = 0.
-1, 1
Let -9*h**3 + 12*h**2 + 20*h**3 - 20*h**3 + 35*h - 12 - 38 = 0. Calculate h.
-2, 5/3
Let u(t) be the first derivative of -t**9/336 + t**8/140 + t**7/280 - t**6/60 - 4*t**3/3 + 5. Let g(y) be the third derivative of u(y). Factor g(s).
-3*s**2*(s - 1)**2*(3*s + 2)
Find y, given that -3/5 - 2/5*y + 1/5*y**2 = 0.
-1, 3
Let v(k) = 5*k**2 - 2. Let r(s) = 36*s**2 - 15. Let t(b) = -2*r(b) + 15*v(b). Determine m so that t(m) = 0.
0
Let j(a) be the third derivative of a**7/42 - a**6/24 - a**5/6 - 3*a**2. Find v, given that j(v) = 0.
-1, 0, 2
Let d(h) be the first derivative of -h**6/48 + h**5/40 + 3*h**4/32 - 5*h**3/24 + h**2/8 - 31. Factor d(o).
-o*(o - 1)**3*(o + 2)/8