+ 1)*(m + 2)/2
Suppose k = 3*i + 24, k - 27 = -k - i. Suppose -k*n = -14*n. Suppose n + 0*x**2 - 3/5*x**3 + 3/5*x = 0. Calculate x.
-1, 0, 1
Factor -3/2*p**3 + 3/2 + 9/2*p**2 - 9/2*p.
-3*(p - 1)**3/2
Let t(p) be the second derivative of -p**6/180 - p**5/180 + p**4/18 - p**3 + 6*p. Let v(l) be the second derivative of t(l). Factor v(w).
-2*(w + 1)*(3*w - 2)/3
Let d(s) be the first derivative of -s**4/20 + 2*s**3/15 - s**2/10 - 3. What is z in d(z) = 0?
0, 1
Let c(v) be the first derivative of v**6/10 - 3*v**5/25 + 22. Determine q, given that c(q) = 0.
0, 1
Let s(u) be the second derivative of -u**7/28 - u**6/120 + 3*u**5/20 + u**4/24 - u**3/4 - u**2/8 + 5*u. Suppose s(l) = 0. What is l?
-1, -1/6, 1
Factor -3/2 - 9/2*p**2 + 3/2*p**3 + 9/2*p.
3*(p - 1)**3/2
Let m(f) be the first derivative of 5 - 1/6*f**3 + 1/2*f**2 - 1/2*f. Determine o, given that m(o) = 0.
1
Let x(a) = -2*a - 4. Let q be x(-4). Let r be q/(-22) - (-45)/66. Find j, given that 1/2*j**4 + 0*j**3 - r*j**5 + 0 + 0*j + 0*j**2 = 0.
0, 1
Let t(u) be the second derivative of -u**5/5 + 2*u**4/3 + 26*u. Factor t(a).
-4*a**2*(a - 2)
Let w(z) be the second derivative of -z**7/28 - z**6/10 + z**4/4 + z**3/4 - 19*z. Factor w(k).
-3*k*(k - 1)*(k + 1)**3/2
Let z(n) = -8*n**3 - 11*n**2 + 8*n + 1. Let q(i) = -i**3 - i**2 + i - 1. Let s(l) = 5*q(l) - z(l). Let s(m) = 0. Calculate m.
-2, -1, 1
Suppose 4/9*w**2 + 2/9*w**3 + 0*w - 2/9*w**5 + 0 - 4/9*w**4 = 0. What is w?
-2, -1, 0, 1
Let f = 11/3 - 10/3. Let p(g) = -g + 10. Let s be p(8). Suppose f*t**3 - 1/3 - t**s + t = 0. Calculate t.
1
Let a(b) = b**3 - b**2. Let q(m) = 3*m**3 - 8*m**2 - 20*m + 40. Let p(v) = -2*a(v) - q(v). Determine y, given that p(y) = 0.
-2, 2
Solve 3 + 5 - 3*s**2 - 7 + 11 = 0.
-2, 2
What is c in -38 + 32 + 10*c**2 + 12*c**3 + 3*c + 20*c**2 - 24*c**4 - 15*c**5 = 0?
-1, 2/5, 1
Let g(j) be the third derivative of j**5/30 + 17*j**4/48 + j**3/3 - 3*j**2. Factor g(i).
(i + 4)*(4*i + 1)/2
Let c(w) be the first derivative of -w**4/6 + w**2 - 4*w/3 + 9. What is x in c(x) = 0?
-2, 1
Determine l so that 2/7*l**4 + 2/7*l - 2/7*l**3 - 2/7*l**2 + 0 = 0.
-1, 0, 1
Factor x**3 - 1/4 - 3/2*x**2 + x - 1/4*x**4.
-(x - 1)**4/4
Let z(m) be the third derivative of 0*m**5 + 0 + 0*m**4 - 1/240*m**6 + 3*m**2 + 0*m + 0*m**3. Factor z(k).
-k**3/2
Let -4*j + 7*j + 3*j**2 - 4*j = 0. What is j?
0, 1/3
Let z(l) be the first derivative of l**5/30 + l**4/12 + l**2 - 2. Let g(w) be the second derivative of z(w). Factor g(d).
2*d*(d + 1)
Suppose -w = -2*w + 3. Let v(q) = -3 - q**2 + 6*q + 2 - w. Let h(b) = b**2 - 5*b + 3. Let a(r) = 4*h(r) + 3*v(r). Factor a(k).
k*(k - 2)
Suppose 4*j + 18 = -30. Let n be (-30)/(-8) + (-3)/j. Determine f, given that -3*f**2 + f**4 + f**3 - 2*f**4 - f**5 + n*f**2 = 0.
-1, 0, 1
Let v(l) be the first derivative of 4*l**5/5 + l**4/2 - 2*l**3/3 - 6. Factor v(a).
2*a**2*(a + 1)*(2*a - 1)
Let z(w) be the second derivative of -7*w**4/48 + 5*w**3/24 + w**2/4 - 5*w. Factor z(l).
-(l - 1)*(7*l + 2)/4
Suppose -4 = 3*t - 19. Let f = t - 2. Factor 2*k**3 - 5*k**3 + 2*k**f - k**4.
-k**3*(k + 1)
Let w = 8 + -6. Let j(s) = -6*s + 2 + 3*s**4 - 5*s**3 - 7*s**4 + 3*s**4 + 8*s**2. Let u(g) = -g**4 - g + 1. Let c(i) = w*u(i) - j(i). Factor c(x).
-x*(x - 2)**2*(x - 1)
Find d such that 2*d**2 + 1/2*d**3 + 5/2*d + 1 = 0.
-2, -1
Let m be (0 + 2/4)*0. Let i(k) = -k**3 - 5*k**2 - 5*k - 2. Let c be i(-4). Let 0*l + 1/2*l**c + m = 0. What is l?
0
Let o be 1 - (-2 + -24 - 1). Suppose -3*k - k = 4*f - o, -3*f + 15 = 0. Let -5 + 3*a**k - a**2 + 3 = 0. What is a?
-1, 1
Let v be (3 - 2)/((-10)/(-30)). Let p(s) be the second derivative of 0 + s + 1/42*s**4 + 0*s**v + 0*s**2. Suppose p(y) = 0. Calculate y.
0
What is p in 3/2*p**2 - 6 + 0*p = 0?
-2, 2
Suppose -7*u - 490 = -0*u. Let t be (u/3)/(-5) + -4. Factor 0 + 0*c**2 + t*c**3 + 0*c.
2*c**3/3
Let q(j) be the first derivative of 4*j**5/5 - 4*j**3/3 + 2. What is c in q(c) = 0?
-1, 0, 1
Let y(f) = -f**2 - 4*f. Let x be y(-3). Solve -2*l - 6*l**4 + 3*l**4 + 2*l**x - 5*l**2 + 12*l**2 - 4*l**4 = 0.
-1, 0, 2/7, 1
Let m(y) = -y**2 - 5. Let x(n) = -4. Suppose 0 = s - 4*o - 5, s + 13 = -5*o. Let f(w) = s*x(w) + 2*m(w). Suppose f(q) = 0. Calculate q.
-1, 1
Let z(h) = -h**3 - 17*h**2 - 30*h + 3. Let p be z(-15). Determine q so that 0*q**2 + 0 - 2/9*q**p + 2/9*q = 0.
-1, 0, 1
Let -2*w**3 + 15*w**2 - w**4 + 0*w**4 - 10*w**2 - 6*w**2 = 0. What is w?
-1, 0
Let z = -92 - -94. Solve -2/9*k**z + 4/9*k + 0 = 0 for k.
0, 2
Let g(y) be the first derivative of 0*y**3 - y + 0*y**2 - 2 - 1/6*y**4. Let f(l) be the first derivative of g(l). Factor f(r).
-2*r**2
Factor 2/3*g + 0 + 2/3*g**2.
2*g*(g + 1)/3
Let l(z) be the first derivative of 1/4*z**4 + 0*z - 3/20*z**5 - 1/4*z**2 + 1/12*z**3 - 3. Factor l(b).
-b*(b - 1)**2*(3*b + 2)/4
Suppose 2*o = -4*d + 22, -o = o - 4*d + 10. Suppose 2*r**o - 5*r**3 + r**5 + 2*r**3 = 0. What is r?
-1, 0, 1
Let w(c) be the first derivative of -9/20*c**4 - 2 - 6/5*c + 3/25*c**5 + 1/5*c**3 + 9/10*c**2. Find z such that w(z) = 0.
-1, 1, 2
Let c(v) = -v + 2. Let a be c(5). Let u be (-12)/a + 90/(-33). Let 0*n + 6/11*n**3 + u*n**5 - 24/11*n**4 + 0 + 4/11*n**2 = 0. Calculate n.
-2/7, 0, 1
Let p = -1/8 + 5/8. Suppose -10 = -4*s + 3*w - 2, 3*w = -5*s + 10. Suppose -1/2*y + p*y**5 - y**4 + 0*y**3 + 0 + y**s = 0. Calculate y.
-1, 0, 1
Let o(s) be the second derivative of s**4/18 - 5*s**3/36 + s**2/12 + 4*s. Find c, given that o(c) = 0.
1/4, 1
Let u(w) = -39*w**4 - 120*w**3 - 65*w**2 - 4*w + 12. Let m(a) = 40*a**4 + 120*a**3 + 65*a**2 + 5*a - 10. Let h(z) = -6*m(z) - 5*u(z). Factor h(s).
-5*s*(s + 2)*(3*s + 1)**2
Let n be -2 - 0 - 20/(-9). Let w(v) be the first derivative of -2/27*v**3 - 2/9*v - n*v**2 - 1. What is p in w(p) = 0?
-1
Let h = 46695821/301 + -155135. Let f = -2/43 + h. Find q such that f*q + 0 + 2/7*q**3 - 6/7*q**2 = 0.
0, 1, 2
Solve -3/2*i**5 - 3/2*i**4 + 3/2*i**3 + 0 + 3/2*i**2 + 0*i = 0.
-1, 0, 1
Factor 2/3 + 4/9*i - 4/9*i**3 + 2/9*i**4 - 8/9*i**2.
2*(i - 3)*(i - 1)*(i + 1)**2/9
Let y be (-2)/8 - (-25)/20 - -1. Let m(r) be the second derivative of 1/21*r**7 + 3/10*r**5 + 1/5*r**6 + y*r + 0*r**3 + 1/6*r**4 + 0 + 0*r**2. Factor m(k).
2*k**2*(k + 1)**3
Factor d**2 - 10*d**3 - 3*d - 7*d**2 + 7*d**3.
-3*d*(d + 1)**2
Let k(s) be the third derivative of 3*s**2 + 0 - 3/280*s**7 - 3/160*s**6 + 0*s**4 + 0*s - 1/80*s**5 - 1/448*s**8 + 0*s**3. Factor k(p).
-3*p**2*(p + 1)**3/4
Let i(c) = -2*c - 12. Let s be i(-5). Let l be ((-9)/(-36))/((-1)/s). Suppose -l*n**3 - 1/2 + 1/2*n**2 + 1/2*n = 0. Calculate n.
-1, 1
Let t(h) be the second derivative of h**7/63 + h**6/90 - h**5/20 - h**4/36 + h**3/18 - 14*h. Find v, given that t(v) = 0.
-1, 0, 1/2, 1
Let b(r) be the second derivative of -1/5*r**5 - r - 2/9*r**4 - 4/45*r**6 - 1/63*r**7 + 0*r**2 - 1/9*r**3 + 0. Determine k, given that b(k) = 0.
-1, 0
Let v be ((-4)/10)/((-7)/(-35) + -1). Suppose v*c**2 + 0 - 1/2*c = 0. What is c?
0, 1
Let n(p) be the first derivative of 2*p**5/5 - 10*p**4/3 + 104*p**3/27 + 160*p**2/9 + 128*p/9 + 22. Find l such that n(l) = 0.
-2/3, 4
Let y(t) = 6*t. Let n be y(0). Let f(d) be the second derivative of n*d**2 + 2/33*d**3 - 1/66*d**4 + 0 - 1/110*d**5 + d. Factor f(k).
-2*k*(k - 1)*(k + 2)/11
Let o be (-1)/((-5)/(50/35)). Factor 2/7*z**2 + o + 4/7*z.
2*(z + 1)**2/7
Let n be (0 + 1/(-2))*12. Let m(g) = -4*g**4 - 3*g**2 - 3. Let l(i) = 17*i**4 + 13*i**2 + 13. Let u(x) = n*l(x) - 26*m(x). Let u(v) = 0. What is v?
0
Solve 2/7*v**4 + 0*v + 0*v**3 + 0 - 2/7*v**2 = 0 for v.
-1, 0, 1
Let r be (42/(-45) - -1)*1/7. Let l(y) be the third derivative of r*y**7 + 0 + 1/3*y**4 + 0*y - 1/10*y**5 - y**2 - 1/30*y**6 + 4/3*y**3. Solve l(s) = 0 for s.
-1, 2
Let w = -8 - -10. Suppose 2*b + 0*b**w + b**3 - 5*b**3 + 2*b**5 + 0*b**2 = 0. Calculate b.
-1, 0, 1
Let v(i) be the first derivative of -3*i**3 + 9/5*i**5 + 3/2*i**4 + 0*i + 4 - 3*i**2. Suppose v(w) = 0. Calculate w.
-1, -2/3, 0, 1
Let h(c) be the first derivative of -37*c**3 + 129*c**2/2 - 33*c + 4. Let b(n) = 7*n**2 - 8*n + 2. Let i(p) = 33*b(p) + 2*h(p). Let i(u) = 0. Calculate u.
0, 2/3
Let a(l) be the second derivative of l**5/2 - 4*l**4/3 - 4*l**3/3 + 5*l. Factor a(h).
2*h*(h - 2)*(5*h + 2)
Suppose -12*i + 17*i = 3*v - 1, -9 = -4*v - i. Factor -1/4*l**v - 3/4*l + 3/4*l**3 + 1/4.
(l - 1)*(l + 1)*(3*l -