 j(q) = 2*q**2 + q. Let p = 12 - 9. Let b(x) = -x**2 - 2*x. Let g(r) = p*j(r) + 2*b(r). Factor g(h).
h*(4*h - 1)
Solve -5*v - 24*v**2 - 9*v**5 + 17*v + 13*v**4 + 11*v**4 - 3*v**3 = 0 for v.
-1, 0, 2/3, 1, 2
Let d(b) = b - 6. Let p be d(5). Let l = p - -5. Factor -a**2 + 3*a**2 + 8*a - 8 - l*a**2.
-2*(a - 2)**2
Let v(p) = -2*p**4 + 12*p**3 - 46*p**2 + 36*p. Let w(d) = d**4 - 4*d**3 + 15*d**2 - 12*d. Let a(k) = 5*v(k) + 14*w(k). Let a(f) = 0. Calculate f.
-3, 0, 1
Let j(w) be the first derivative of 1/33*w**6 + 2/55*w**5 - 3/22*w**4 + 2/11*w**2 + 0*w - 4 - 2/33*w**3. Let j(s) = 0. Calculate s.
-2, -1, 0, 1
Let k(t) be the first derivative of 2*t + 7/6*t**4 - 2 - 1/2*t**5 - 2/3*t**3 + 0*t**2. Let r(a) be the first derivative of k(a). Factor r(l).
-2*l*(l - 1)*(5*l - 2)
Let w = 12 - 30. Let l be (-6)/27 - 2407/w. Find p such that l*p**3 - 168*p**5 + 3 + 129*p**2 - 132*p**4 + 69/2*p = 0.
-1, -2/7, -1/4, 1
Let h(i) be the third derivative of 0*i**3 - 1/90*i**5 + 1/12*i**4 + 0*i + 3*i**2 + 0. Let h(g) = 0. Calculate g.
0, 3
Suppose -16*h - 8 = -18*h. Let y(r) be the first derivative of 49/3*r**3 - h*r - 2 + 0*r**2. Determine k so that y(k) = 0.
-2/7, 2/7
Let f be ((-32)/4)/(-1)*1/4. Factor f*i + 4/3 + 2/3*i**2.
2*(i + 1)*(i + 2)/3
Let j(a) = -a + 7. Let u be j(5). Suppose 0 = m + u*m - 12. Factor 4*y + 0*y**3 - 2*y**m - 8*y + 2 + 4*y**3.
-2*(y - 1)**3*(y + 1)
Let h(f) be the second derivative of f**7/126 - f**6/270 - f**5/30 + f**4/54 + f**3/18 - f**2/18 + 19*f. Let h(q) = 0. What is q?
-1, 1/3, 1
Let r(t) be the third derivative of -7*t**8/240 - 17*t**7/150 - 67*t**6/600 + 23*t**5/300 + 2*t**4/15 - 2*t**3/15 + 15*t**2. Let r(h) = 0. What is h?
-1, 2/7
Let r(f) = f. Let a be r(4). Solve -b**3 - b**3 + 5*b**2 + 2*b - 2*b**a - 3*b**2 = 0 for b.
-1, 0, 1
Let u(i) be the third derivative of i**5/100 + i**4/40 + 8*i**2. Factor u(v).
3*v*(v + 1)/5
Let d = 11/8 - 25/24. Solve -2/3*s**3 + 0*s + 2/3*s**5 + d*s**4 + 0 - 1/3*s**2 = 0 for s.
-1, -1/2, 0, 1
Let o(j) = -j - 1. Let l(d) = -d**2 - 3*d - 3. Let t(g) = -l(g) + 3*o(g). Factor t(p).
p**2
Suppose -2*f + 7 = 1. Factor -6*c + 4*c**f - 2 + 0*c + 2*c + 3*c**4 - c**4.
2*(c - 1)*(c + 1)**3
Suppose -462 = -2*d - 458. Factor -2/3 + 0*r - 4/3*r**3 + 2*r**d.
-2*(r - 1)**2*(2*r + 1)/3
Let q(b) be the first derivative of -b**7/21 + b**6/15 + 2*b - 3. Let x(w) be the first derivative of q(w). Suppose x(s) = 0. What is s?
0, 1
Let x(z) be the first derivative of 1/5*z**5 + z + 0*z**2 + 1/3*z**4 + 1/6*z**3 + 2. Let w(i) be the first derivative of x(i). Determine k so that w(k) = 0.
-1/2, 0
Let g(p) = -p**3 - 8*p**2 - 2*p - 16. Let r be g(-8). Let q(d) be the first derivative of 1 + 0*d + 0*d**3 + r*d**2 + 1/4*d**4. What is t in q(t) = 0?
0
Let m(f) = -2*f**3 + 8*f**2 - 4*f + 2. Let p be (-1)/2 + 15/6. Let z(d) = 2*d**3 - 9*d**2 + 4*d - 3. Let k(y) = p*z(y) + 3*m(y). Factor k(o).
-2*o*(o - 2)*(o - 1)
Factor -3/7*s - 1/7*s**3 + 1/7 + 3/7*s**2.
-(s - 1)**3/7
Let w(h) be the second derivative of h**7/98 - 3*h**6/35 + 9*h**5/35 - 2*h**4/7 - 5*h. Factor w(k).
3*k**2*(k - 2)**3/7
Find o, given that 0*o**2 + 1/3 - 1/3*o**4 + 2/3*o**3 - 2/3*o = 0.
-1, 1
Factor 2/13*b - 2/13*b**2 - 2/13*b**3 + 0 + 2/13*b**4.
2*b*(b - 1)**2*(b + 1)/13
Suppose -5*a = 5*m - 95, 5*a - 3*m - 69 = a. Suppose -2*p + a = 5*u, 2*u + 0*p = 2*p - 4. Factor -j**3 - u*j**2 - j - 7 + 7.
-j*(j + 1)**2
Let m be (3 + (1 - 2))*(-48)/(-32). Let -1/6*f**m - 4/3*f + 5/6*f**2 + 2/3 = 0. Calculate f.
1, 2
Suppose w + 2*n = 4*n - 6, 0 = -3*w - n + 17. Let u(f) = f**2 + 5. Let d(g) = 1. Let y(p) = w*u(p) - 20*d(p). Factor y(t).
4*t**2
Let m(b) = b**3 + 7*b**2 - 9*b - 5. Let j be m(-8). Let 3*n**2 + 2*n**j - 14*n**3 - 3*n**3 + 6*n + 3*n**5 + 6*n**5 - 3*n**4 = 0. What is n?
-1, -2/3, 0, 1
Factor 2/11*l**3 + 0 + 8/11*l + 10/11*l**2.
2*l*(l + 1)*(l + 4)/11
Let c(i) be the second derivative of 2/189*i**7 + 1/9*i**2 - 1/27*i**4 + 0 - 2/45*i**5 + 1/135*i**6 + 2*i + 2/27*i**3. What is y in c(y) = 0?
-1, -1/2, 1
Factor 12/17*k + 0 + 2/17*k**2.
2*k*(k + 6)/17
Let y = 1/44 + 79/396. Let v(u) be the first derivative of 0*u - y*u**3 + 2 + 1/3*u**2. Find f such that v(f) = 0.
0, 1
Let v(g) be the second derivative of g**6/75 - g. Suppose v(p) = 0. Calculate p.
0
Let g(l) = -3*l**3 + 2*l**2 + 2*l. Let m = 2 + -12. Let u(p) = 7*p**3 - 5*p**2 - 5*p. Let z(c) = m*g(c) - 4*u(c). Factor z(d).
2*d**3
Let r(x) be the third derivative of -x**7/210 - x**6/120 + x**5/30 - 8*x**2. Solve r(l) = 0.
-2, 0, 1
Let a(s) be the first derivative of s**4/14 - 2*s**3/3 + 11*s**2/7 - 10*s/7 - 1. Factor a(z).
2*(z - 5)*(z - 1)**2/7
Determine t, given that -2/5 + 3/5*t + t**2 = 0.
-1, 2/5
Let v(d) be the third derivative of -1/70*d**7 - d**3 - 9/20*d**5 + 0*d + 4*d**2 - 1/8*d**6 - 7/8*d**4 + 0. Determine p, given that v(p) = 0.
-2, -1
Let f(r) = r**3 + 7*r**2 + 6*r + 4. Let p be f(-6). Factor 1/3*b**5 - 1/3*b + 0*b**3 + 2/3*b**2 - 2/3*b**p + 0.
b*(b - 1)**3*(b + 1)/3
Let x(a) be the first derivative of -2 + 0*a - 2*a**2 + 2/3*a**3. Factor x(y).
2*y*(y - 2)
Let p(v) be the first derivative of -1/9*v**3 - 1/3*v + 4 - 1/3*v**2. What is n in p(n) = 0?
-1
Let s(t) = -4*t**3 + 19*t**2 - 20*t. Let f(i) = -i**2. Let k(z) = -5*f(z) + s(z). Solve k(p) = 0 for p.
0, 1, 5
Let y(t) be the second derivative of t**4/18 + 2*t**3/9 - t**2 + t. Solve y(z) = 0 for z.
-3, 1
Let j(n) be the third derivative of n**7/70 - n**6/10 + n**5/4 - n**4/4 - 2*n**2. Factor j(t).
3*t*(t - 2)*(t - 1)**2
Let f(z) be the third derivative of -z**6/24 + z**5/4 - 12*z**2. Solve f(j) = 0 for j.
0, 3
Let 1/2*i**2 + i + 1/2 = 0. Calculate i.
-1
Factor -3/4*l + 3/2 - 3/4*l**2.
-3*(l - 1)*(l + 2)/4
Let v(i) = -4*i - 5. Let w be v(-5). Let p be w/6 + (-2)/(-4). Factor 1/4*m**4 - 1/4*m**p + 0*m + 0 + 0*m**2.
m**3*(m - 1)/4
Let m(z) = -8*z**4 - 10*z**3 - 2*z**2 - 6*z + 6. Let k(p) = 9*p**4 + 11*p**3 + 2*p**2 + 7*p - 7. Let d(f) = -6*k(f) - 7*m(f). Find r, given that d(r) = 0.
-1, 0
Suppose -5*q = 2*g - 7, 4*q - g = -3*g + 4. Let r = -1 + q. What is o in -r*o**2 + o**4 - 1 - 2*o**4 + 4*o**2 + o - 2*o**3 + o**5 = 0?
-1, 1
Let s(l) be the third derivative of l**9/3024 - l**7/420 + l**5/120 + l**3/2 + 2*l**2. Let q(f) be the first derivative of s(f). Factor q(o).
o*(o - 1)**2*(o + 1)**2
What is q in -5/2*q**3 + 3/4*q**5 - 3*q**2 - 1/4*q + 1/2*q**4 + 1/2 = 0?
-1, 1/3, 2
Suppose 42/5*v - 4/5 - 38/5*v**2 = 0. What is v?
2/19, 1
Suppose 5 = 5*s, 2*a + 2*s = -s + 7. Suppose -5*w + 15 = 5. Factor 0*b**w + 2*b**3 + b**a - b**3.
b**2*(b + 1)
Let l be 3/(-5) - 44/(-40). Factor l - 1/4*h - 1/4*h**2.
-(h - 1)*(h + 2)/4
Let i be (1/(-3))/((-2)/(-18)). Let b be 7/i*(-4)/14. Determine h so that 2/3*h + 4/3*h**2 - b = 0.
-1, 1/2
Suppose -2*l + 126 = 2*k, 5*k + l - 315 = 2*l. Let b be 12/(-8)*(-12)/k. Suppose -2/7*o**2 - b*o + 0 = 0. What is o?
-1, 0
Let x(j) be the third derivative of j**7/1260 + j**6/720 - 8*j**2. Let x(b) = 0. What is b?
-1, 0
Solve -12*q**3 + 26*q**3 - 2*q**5 - 10*q**3 - 2*q = 0.
-1, 0, 1
Suppose 5*r**2 + r**5 - r**2 - 12*r**3 + 3*r**5 + 4*r**2 = 0. Calculate r.
-2, 0, 1
Let d(a) = -a**3 + 2*a**2 + 2*a + 1. Let m be d(3). Let q(s) = -3*s - 3. Let i be q(m). Suppose -i*k + 7*k - 2*k + 2*k**2 = 0. Calculate k.
-1, 0
Suppose 0*i - 12 = -3*i. Factor -5*w**i + 6*w**4 + 0*w**2 - w**2.
w**2*(w - 1)*(w + 1)
Factor -6/5*a - 1/5*a**2 + 7/5.
-(a - 1)*(a + 7)/5
Let t = -7 + 10. Let l be 28/21 + (-1)/t. Solve 15/2*o**2 + 19/2*o**3 + 7/2*o**4 - l + 1/2*o = 0 for o.
-1, 2/7
Suppose 5*j - 18 = 52. Let x(k) = -k**3 - 3*k**2 + 3*k. Let l be x(-4). Factor u - u + j*u**2 - l*u.
2*u*(7*u - 2)
Let o(k) be the second derivative of -k**6/165 - k**5/110 + k**4/22 + 5*k**3/33 + 2*k**2/11 - 26*k. Find g such that o(g) = 0.
-1, 2
Let k(w) be the second derivative of -w**10/136080 + w**9/68040 - w**4/12 + 4*w. Let p(d) be the third derivative of k(d). Let p(s) = 0. Calculate s.
0, 1
Let w(t) = -4*t + 6. Let z(r) = r**2. Let x(v) = -6*v**2 + 5*v - 7. Let h(d) = -x(d) - 5*z(d). Let a(n) = 2*h(n) - 3*w(n). Factor a(j).
2*(j - 1)*(j + 2)
Let t(q) be the third derivative of -7*q**2 + 0 + 0*q**3 + 1/330*q**5 - 1/1155*q**7 + 1/132*q**4 + 0*q - 1/660*q**6. Let t(a) = 0. What is a?
-1, 0, 1
Let u(g) be the first derivative of g**6/300 + g**5/30 + g**4/20 - 3*g**3/5 - 11*g**2/2 - 6. Let