= 0.
-1, 0, 1, 2
Let s(d) be the second derivative of 22*d**6/3 - 67*d**5/5 + 8*d**4/3 + 8*d**3/3 - d - 2. Let s(k) = 0. Calculate k.
-2/11, 0, 2/5, 1
Let u(z) = z**3 + 6*z**2 + 6*z + 6. Let n be u(-5). Factor -l + n + l - l**2.
-(l - 1)*(l + 1)
Let p(d) be the first derivative of -d**4/16 + 5*d**3/12 + 3*d**2/4 - 60. Factor p(m).
-m*(m - 6)*(m + 1)/4
Let d(h) be the third derivative of -h**7/840 + h**5/240 - 24*h**2. Factor d(i).
-i**2*(i - 1)*(i + 1)/4
Let c be 5/(-3*(-3)/9). Factor -24*g - 4*g**2 - 36 - c*g**2 + 5*g**2.
-4*(g + 3)**2
Let y(x) be the first derivative of -x**2 - 12*x + 3. Let f be y(-8). Factor 1/2 - p + 0*p**2 + p**3 - 1/2*p**f.
-(p - 1)**3*(p + 1)/2
Factor -8/5*x**2 + 4/5*x**3 + 4/5*x**4 + 0 + 0*x.
4*x**2*(x - 1)*(x + 2)/5
Let v(d) = -d**3 + 1. Let g be v(1). Let c = 1/157 + 309/785. Factor -4/5*y - c*y**4 + 6/5*y**2 + 0*y**3 + g.
-2*y*(y - 1)**2*(y + 2)/5
Let k = 13 - -23. Factor -u**3 + 5*u**3 + k + 51*u + 9*u - 7*u**2 + 35*u**2.
4*(u + 1)*(u + 3)**2
Let z(q) = -q**3 + 2*q**2. Let r(d) be the third derivative of d**6/20 - d**5/5 - 3*d**2. Let x(h) = -6*r(h) - 34*z(h). Factor x(k).
-2*k**2*(k - 2)
Let x(n) be the third derivative of -n**7/90 - n**6/72 + n**5/20 + 5*n**4/72 - n**3/9 + 5*n**2. Solve x(i) = 0 for i.
-1, 2/7, 1
Factor 3 + 7/4*t + 1/4*t**2.
(t + 3)*(t + 4)/4
Let s(l) be the second derivative of -3*l**5/20 + 17*l**4/24 - 4*l**3/3 + 5*l**2/4 + 10*l. Factor s(d).
-(d - 1)**2*(6*d - 5)/2
Let y be (-48)/160 - (-295)/50. Let -92/5*d**2 - 16*d - 16/5 - y*d**3 = 0. What is d?
-2, -1, -2/7
Let d = -7 + 10. Factor -o**4 + d*o**2 + o - 3*o**2 + o**3 - 3*o**2 + 2*o**3.
-o*(o - 1)**3
Suppose -2*o + w = -8, -4*w + 24 = 4*o - 2*w. Suppose -u - 8 = -o*u. Find c such that 2/3*c**u - 2/3 + 0*c = 0.
-1, 1
Let o be -2 - 105/(-36) - (-1)/(-4). Let c(t) be the first derivative of -5/4*t**4 + 5/2*t**2 + 4 - o*t**3 + 2*t. Factor c(r).
-(r - 1)*(r + 1)*(5*r + 2)
Let m = 143917/36231 + 2/929. Let j = m + -17/13. Factor -50/3*q**2 - 40/3*q - j.
-2*(5*q + 2)**2/3
Suppose 0*s + 2/15 - 2/15*s**2 = 0. Calculate s.
-1, 1
Suppose -56*c**3 - 16 - 14 + 14 - 64*c - 92*c**2 - 2*c**4 - 10*c**4 = 0. What is c?
-2, -1, -2/3
Suppose -2 = z - 5*j + 14, -5*z + 4 = -4*j. Let v(o) be the second derivative of 0*o**3 + 0*o**2 + 4*o + 0 - 1/66*o**z. Solve v(q) = 0 for q.
0
Factor 138*s + 20*s**2 - 42*s - 33*s - 48*s + 5*s**3.
5*s*(s + 1)*(s + 3)
Let h(r) be the second derivative of -2*r**7/21 + 16*r**6/15 - 23*r**5/5 + 28*r**4/3 - 8*r**3 + 3*r - 4. Solve h(m) = 0.
0, 1, 2, 3
Let b(j) be the second derivative of j**7/12600 + j**6/1800 - j**4/2 - 3*j. Let p(r) be the third derivative of b(r). What is s in p(s) = 0?
-2, 0
Suppose a + 4 = 6. Suppose a*y = -3*y. Factor 3*j**3 + y*j**3 + 11*j**4 + j**5 - 8*j**4 + j**2.
j**2*(j + 1)**3
Let f(n) be the second derivative of n**7/336 - n**6/120 + n**5/160 + 28*n. Let f(y) = 0. What is y?
0, 1
Suppose 4*p + 21 = 11*p. What is n in -1/3*n**p - 2/3*n**2 - 1/3*n + 0 = 0?
-1, 0
Let z(w) be the second derivative of -w**7/84 + w**6/30 + w**5/40 - w**4/12 + 6*w. Solve z(a) = 0 for a.
-1, 0, 1, 2
Let n(x) be the second derivative of -x**4/8 + x**3/3 + x**2 + x. Factor n(w).
-(w - 2)*(3*w + 2)/2
Factor 10 - 27 - 4*g**2 - 12*g + 0*g + 9.
-4*(g + 1)*(g + 2)
Let n(r) = 2*r**2 - 4*r + 3. Let a be n(2). Let y(d) be the first derivative of 8/5*d**5 - 2*d**a + 2*d + 2*d**4 + 1 - 2*d**2. Suppose y(b) = 0. Calculate b.
-1, 1/2
Let c(r) = -2*r**3 - r**2. Let p(j) = -j**3 - j**2. Let b(z) = -c(z) + 3*p(z). Let b(a) = 0. What is a?
-2, 0
Suppose -5 = -2*m - 1. Suppose -m*s + 8 = -0*s. Factor 4*q**s - 2*q**4 + 0*q**4 + q - 3*q**3.
q*(q - 1)**2*(2*q + 1)
Let b(w) be the third derivative of -w**6/420 + w**5/210 + w**4/42 - 6*w**2. Factor b(r).
-2*r*(r - 2)*(r + 1)/7
Let u(w) = w**2 - 3*w - 8. Let n be u(-5). Suppose -n + 3*t**2 - 6*t**2 + 35 = 0. Calculate t.
-1, 1
Suppose -4*q + 2 = a - 9, 5*q = 4*a - 2. Solve 4/7*g + 0 + 2/7*g**q = 0.
-2, 0
Let h(g) be the third derivative of -g**6/360 + g**5/20 - 5*g**4/24 - 25*g**3/18 - 27*g**2. Factor h(d).
-(d - 5)**2*(d + 1)/3
Suppose -3*m**4 + 15*m**5 - 18*m**4 - 11*m**2 + 7*m - 12 - 39*m**3 + 44*m**2 + 17*m = 0. Calculate m.
-1, 2/5, 1, 2
Let s(o) be the second derivative of -o**4/12 + 2*o**2 - 14*o. Factor s(n).
-(n - 2)*(n + 2)
Let v(a) be the third derivative of a**10/453600 - 2*a**5/15 + 2*a**2. Let r(s) be the third derivative of v(s). Factor r(o).
o**4/3
Let u = -4 - -7. Suppose n = -u*n. What is x in -8 + 4*x**2 - 2*x - 6*x**2 + 10*x + n*x = 0?
2
Factor -3*c - 55*c**2 + 5*c + 53*c**2.
-2*c*(c - 1)
Let a be 8/6 - 48/(-18). Let w be (0 + a)*5/10. Let 1/4*x**3 - 3/4*x + 1/2 + 0*x**w = 0. What is x?
-2, 1
Let p(z) be the first derivative of 0*z**2 + 0*z - 4/3*z**3 - 4/5*z**5 - 3 + 5/2*z**4. Let p(k) = 0. Calculate k.
0, 1/2, 2
Let u be 2/10 + (-5)/25. Determine s, given that u*s + 0*s**2 + 2/11*s**4 - 2/11*s**3 + 0 = 0.
0, 1
Let q(j) = 3*j**3 + 6*j**2 + 3*j - 2. Let n(s) = 12*s**3 + 25*s**2 + 13*s - 9. Let y(f) = 4*n(f) - 18*q(f). Factor y(z).
-2*z*(z + 1)*(3*z + 1)
Suppose 1 = -2*j - 1. Let y be (3/(-4) - j) + 0. Factor y*w**3 + 0 + 0*w + 1/4*w**2.
w**2*(w + 1)/4
Let d(f) = -f**4 - f + 1. Let x(p) = 6*p**5 + p**4 - 18*p**3 + 5*p + 3. Let v(k) = -3*d(k) + x(k). Determine t, given that v(t) = 0.
-2, -2/3, 0, 1
Let f(i) be the third derivative of -i**7/324 + i**6/135 - i**5/135 + i**4/12 + 3*i**2. Let n(s) be the second derivative of f(s). Determine k so that n(k) = 0.
2/7, 2/5
Let r(u) = -3*u**2 - 8. Let j(v) = 2*v**2 + 4. Let y(w) = 5*j(w) + 3*r(w). Suppose y(k) = 0. Calculate k.
-2, 2
Let g(f) be the third derivative of 0 + 0*f + 1/30*f**5 + 1/240*f**6 + 4*f**2 + 1/6*f**3 + 5/48*f**4. Factor g(r).
(r + 1)**2*(r + 2)/2
Factor 2*x + 3*x**2 - 4*x**2 + 2*x**2.
x*(x + 2)
Suppose -159 + 159 - 9*l**2 + 3*l**3 = 0. Calculate l.
0, 3
Find x, given that -6*x**2 + 2*x**3 + 47*x + 6*x**4 - 89*x + 38*x + 2*x**5 = 0.
-2, -1, 0, 1
Let i(l) = -l + 1. Let v(f) = -f**2 + 2*f - 2. Let d(k) = 2*i(k) - v(k). Let d(g) = 0. What is g?
2
Let r(p) = 2*p**2 + 2*p**2 + 4*p**4 + 0*p**4 + 5*p**3. Let y(a) = a**4 + a**3 + a**2. Let t(x) = -r(x) + 3*y(x). Let t(c) = 0. Calculate c.
-1, 0
Let x = -6 - -9. Determine b so that -b**5 + 0*b**5 + 3*b**4 + 0*b**4 - 2*b**x = 0.
0, 1, 2
Let k(y) be the third derivative of y**7/245 + y**6/70 - 3*y**5/70 - 14*y**2. Factor k(r).
6*r**2*(r - 1)*(r + 3)/7
Let v be 256/(-88) - (0 - -8)/(-2). Factor 2/11*q**2 + 18/11 + v*q.
2*(q + 3)**2/11
Let -24/5*h**2 + 4 + 16/5*h + 4/5*h**4 - 16/5*h**3 = 0. Calculate h.
-1, 1, 5
Let y(u) = u**5 + u**4 + u**3 + u**2 + 1. Let s(a) = 3*a**3 + 5*a**5 + 0 + 4 - 4 + 5*a**2 + 3*a**4 + 6. Let z(j) = -s(j) + 6*y(j). Suppose z(h) = 0. What is h?
-1, 0
Let s(h) be the first derivative of h**6/39 + 2*h**5/65 - 2*h**4/13 - 8*h**3/39 - 10. Suppose s(p) = 0. What is p?
-2, -1, 0, 2
Let j(b) = -b**2 - b. Suppose 4*x = -z - 10, z - 10 = 5*x - 2. Let i(n) = -3*n**2 - n + 2. Let r(y) = z*j(y) + i(y). Solve r(m) = 0 for m.
-1, 2
Let s(n) = 3*n**3 + 13*n**2 - 18. Let u(h) = h**3 + h**2 - 1. Let c(l) = -s(l) - 2*u(l). Factor c(q).
-5*(q - 1)*(q + 2)**2
Let s(m) be the third derivative of m**8/112 - 2*m**7/35 + m**6/10 - 27*m**2. Factor s(c).
3*c**3*(c - 2)**2
Suppose -19 = 4*t - 27. Let j(m) be the second derivative of 0 + 2*m + 0*m**t - 6/35*m**5 + 2/21*m**3 - 1/15*m**6 - 1/14*m**4. Factor j(o).
-2*o*(o + 1)**2*(7*o - 2)/7
Suppose 4/3*f + 1/3*f**2 + 4/3 = 0. What is f?
-2
Let r(c) = -c**2 + 2*c - 2. Let b(k) = k**2 - 2*k + 3. Let g(j) = 2*b(j) + 3*r(j). Solve g(o) = 0.
0, 2
Let l = 21 + -16. What is c in 16*c + 6*c**4 - 5*c**2 - l*c**2 - 6*c**2 - 2*c**4 - 4*c**3 = 0?
-2, 0, 1, 2
Let f(r) be the second derivative of -6*r + 0*r**3 + 3/40*r**5 + 0 + 1/30*r**6 + 0*r**2 + 1/24*r**4. Solve f(z) = 0 for z.
-1, -1/2, 0
Suppose 10 - 2 = 2*h. Determine b so that -b**3 - 12*b**4 - 2*b**3 + 9*b**h = 0.
-1, 0
Let y = 193/700 + 1/100. Suppose 0 = 3*z - 6*z. Factor z*q + 0 - y*q**2.
-2*q**2/7
Let y = -27/8 + 143/40. Factor 1/5*g - y*g**3 + 0*g**2 + 0.
-g*(g - 1)*(g + 1)/5
Let v(h) = -h**4 - 19*h**3 - 3*h - 3. Let n(t) = 2*t**4 + 18*t**3 + 2*t + 2. Let b(i) = -3*n(i) - 2*v(i). What is l in b(l) = 0?
-4, 0
Let c(t) = -t**2 + 8*t + 4. Let b be c(8). Suppose 5*x = 2 + 3, -b*u + x = -7. Det