*x**3 - 4*x**g - 2*x + 3*x - 5*x**2.
-x*(x + 1)**2*(4*x - 1)
Let a(x) be the first derivative of -x**5/120 - x**4/18 - x**3/9 - 8*x - 1. Let d(n) be the first derivative of a(n). Factor d(r).
-r*(r + 2)**2/6
Factor 1660 - 3*c**4 - 1660 + 3*c**2 + 6*c**3 - 6*c.
-3*c*(c - 2)*(c - 1)*(c + 1)
Let o(u) be the third derivative of -u**7/70 - 3*u**6/20 - 13*u**5/20 - 3*u**4/2 - 2*u**3 + 9*u**2. What is t in o(t) = 0?
-2, -1
Let j = -4/57 + 134/285. Solve s**4 - 2/5*s**3 - 4/5*s**2 - j*s**5 + 4/5*s - 1/5 = 0.
-1, 1/2, 1
Let u(o) be the first derivative of 1/33*o**6 + 5/22*o**4 - 2 + 0*o + 8/55*o**5 + 0*o**2 + 4/33*o**3. Factor u(f).
2*f**2*(f + 1)**2*(f + 2)/11
Let f(s) be the second derivative of s**6/10 + 3*s**5/10 - 3*s**4/4 - 2*s**3 + 6*s**2 + 11*s. Factor f(b).
3*(b - 1)**2*(b + 2)**2
Let n be 2 + (0/(-1) - -1). Let y = n + -1. Solve -y - 9*b**2 + 11*b**2 + 5*b**3 - 3*b**3 - 2*b = 0.
-1, 1
Suppose 4*f - 4 - 8 = 0. Let b(j) be the second derivative of -1/40*j**5 + 1/120*j**6 + 0*j**2 + 2*j + 1/48*j**4 + 0 + 0*j**f. Solve b(h) = 0 for h.
0, 1
Suppose -5*q**2 - q + 0*q + 11*q = 0. Calculate q.
0, 2
Let g = 1251/7 + -412823/2310. Let x(y) be the third derivative of -g*y**5 - 2/33*y**3 + 0*y + 4*y**2 + 1/44*y**4 + 0. Find t such that x(t) = 0.
1, 2
Let w(i) = i + 1. Let p(n) = 1 - 2*n + 0 + n. Let v be p(0). Let a(g) = -2*g**3 + 8*g + 6. Let d(c) = v*a(c) - 6*w(c). Find f, given that d(f) = 0.
-1, 0, 1
Let g = -255/4 - -64. Let p(j) be the first derivative of g*j**2 + j - 1/2*j**3 - 2. Suppose p(v) = 0. Calculate v.
-2/3, 1
Let k(w) be the first derivative of w**6/9 - w**5/15 - w**4/3 + 2*w**3/9 + w**2/3 - w/3 + 7. Let k(c) = 0. Calculate c.
-1, 1/2, 1
Let g(l) be the first derivative of l**4/10 - 20. Determine x so that g(x) = 0.
0
Let b(q) be the first derivative of -q**5/5 - q**4 - 2*q**3 - 2*q**2 - q - 9. Determine y so that b(y) = 0.
-1
Let q(i) be the third derivative of -i**6/780 + i**5/390 + i**4/156 - i**3/39 + 8*i**2. Factor q(w).
-2*(w - 1)**2*(w + 1)/13
Factor 2/7*v**4 - 8/7*v + 8/7*v**3 - 8/7 + 6/7*v**2.
2*(v - 1)*(v + 1)*(v + 2)**2/7
Suppose -27 = -5*j + 4*i, -i + 6*i + 15 = 0. Let u(t) be the second derivative of 0 - 2*t**2 - 3*t - 2/3*t**j - 1/12*t**4. Find g, given that u(g) = 0.
-2
Let n be ((-33)/(-12) + -2)*4. Let t(l) = 5*l**3 - 2*l + 3. Let a(d) = 9*d**3 - 4*d + 5. Let o(m) = n*a(m) - 5*t(m). Factor o(u).
2*u*(u - 1)*(u + 1)
Let o(j) be the first derivative of j**7/2100 + j**3 + 2. Let y(l) be the third derivative of o(l). Solve y(z) = 0 for z.
0
Let g(x) be the third derivative of -x**7/630 + x**6/360 + x**5/180 - x**4/72 - 6*x**2. Determine p so that g(p) = 0.
-1, 0, 1
Let l(f) be the third derivative of 0 - 1/12*f**4 + f**2 + 0*f + 1/10*f**5 - 1/6*f**3. Let v(q) = q**2. Let j(x) = -2*l(x) + 14*v(x). Solve j(i) = 0 for i.
-1
Let k = 68/63 - 6/7. Let y(p) be the first derivative of -4/3*p**2 + k*p**3 + 8/3*p + 1. Solve y(g) = 0 for g.
2
Let h(y) = -8*y**4 - 172*y**3 - 152*y**2 - 44*y + 28. Let k(c) = -c**4 - 19*c**3 - 17*c**2 - 5*c + 3. Let f(b) = 3*h(b) - 28*k(b). Factor f(d).
4*d*(d + 1)**2*(d + 2)
Suppose 0 = 2*w - a + 4, -w + 9*a = 4*a + 20. Suppose -10*z + 9*z = w. Solve -2/7*h**2 + z + 0*h = 0.
0
Let p(w) = -3*w**3 - 12*w**2 + 24*w. Let t(v) = v**3 + 3*v**2 - 6*v. Let q(k) = -2*p(k) - 9*t(k). Find x, given that q(x) = 0.
-2, 0, 1
Find b, given that 0 + 1/6*b**4 - 1/3*b**5 - 1/6*b**2 + 0*b + 1/3*b**3 = 0.
-1, 0, 1/2, 1
Let g(s) be the second derivative of 2/13*s**2 + 7/65*s**5 - 9*s + 0 + 2/65*s**6 + 3/13*s**3 + 8/39*s**4 + 1/273*s**7. Find m, given that g(m) = 0.
-2, -1
Let l(a) = 3*a**2 + 1. Let x be l(1). Let z = x - 4. Factor -10/7*b**4 + 0*b + 6/7*b**3 + 4/7*b**2 + z.
-2*b**2*(b - 1)*(5*b + 2)/7
Suppose 3*u - 2*u + 3*j = -12, -3*j - 66 = 4*u. Let m = u - -25. Factor -4*k**2 - 2*k + 1 + m - 2*k**3 + 4*k**3 - 4.
2*(k - 2)*(k - 1)*(k + 1)
Let f = -19 + 11. Let w be -2*(26/f + 3). Suppose -1/2 - 1/2*q**3 + w*q**2 + 1/2*q = 0. Calculate q.
-1, 1
Let c(m) be the third derivative of 2*m**7/525 - m**6/50 + m**5/25 - m**4/30 - 9*m**2. Let c(j) = 0. What is j?
0, 1
Let j be 2/(-6) + (-48)/(-9). Let -l**5 - 2*l**j + 0*l**5 - 3*l + 6*l**3 = 0. What is l?
-1, 0, 1
Let z be -6*((-3)/(-6) - 3). Let r = -15 + z. Let 0*h**2 + 0 + 1/4*h**4 - 1/4*h**3 + r*h = 0. What is h?
0, 1
Let w(v) be the third derivative of -1/15*v**5 - 1/20*v**6 + 0*v**4 + 0*v**3 - 3*v**2 + 0 + 1/168*v**8 + 0*v + 0*v**7. Factor w(f).
2*f**2*(f - 2)*(f + 1)**2
Let u = 116 + -113. Find t, given that -4/3*t**u + 2*t + 2*t**4 - 2/3 - 2/3*t**5 - 4/3*t**2 = 0.
-1, 1
Let x(o) = -o**3 - 2*o**2 + o - 3. Let r be x(-3). Find z, given that 2*z**4 - z**r + 33*z**2 + z - 20*z**2 - 12*z**2 - 3*z**4 = 0.
-1, 0, 1
Let v be (-2)/9*(-6)/40. Let a(j) be the second derivative of 2/15*j**3 + v*j**4 + 0*j**2 + 2*j + 0. Determine c, given that a(c) = 0.
-2, 0
Let h(a) = a**5 - a**4 + a**2 - a + 1. Let m(g) = 5*g**5 - 7*g**4 + 2*g**3 + 3*g**2 - 3*g + 3. Let j(i) = -3*h(i) + m(i). Factor j(f).
2*f**3*(f - 1)**2
Let b be ((-4)/(-6))/(2/9). Let t(k) = 3*k - 6. Let q be t(b). Find w such that w**q + 0 + w**4 + 1/4*w**5 + 0*w**2 + 0*w = 0.
-2, 0
Suppose g = x - 2, -14*x + 11*x = 5*g + 10. Let l(r) be the second derivative of 1/36*r**4 + x - 4*r + 1/9*r**3 + 1/6*r**2. Factor l(j).
(j + 1)**2/3
Let i(h) = -h**3 + 2*h**2 - 2*h + 2. Let x be i(2). Let p be (-6)/(7 - 4)*x. Find n, given that n**2 - 1/3*n**p + 5/3*n - 1/3*n**3 + 2/3 = 0.
-1, 2
Let i(r) = r**2 + 1. Let c = -15 - -9. Let b(l) = -6*l**3 + 10*l**2 + 6*l + 2. Let y(h) = c*i(h) + b(h). Factor y(p).
-2*(p - 1)*(p + 1)*(3*p - 2)
Let p(h) = -2*h**2 - 5*h - 5. Let c(q) = 2*q**2 + 6*q + 6. Let b = 5 + -10. Let i(x) = b*c(x) - 6*p(x). Factor i(m).
2*m**2
Let q(m) = -m**2 + 15*m - 10. Let v be q(14). Find t, given that 3/4 + 6*t**5 + 15/4*t + 3/4*t**2 - 3/2*t**v - 39/4*t**3 = 0.
-1, -1/2, -1/4, 1
Let l(t) be the first derivative of -3 - 1/12*t**3 - 1/2*t**2 - 3/4*t. Solve l(i) = 0 for i.
-3, -1
Factor 4*s**4 - 2*s**3 + 6*s - 3*s**2 + 3*s**4 - 4*s**3 - 4*s**4.
3*s*(s - 2)*(s - 1)*(s + 1)
Suppose 16*x - x**5 + 2*x**3 - 9*x - 8*x = 0. What is x?
-1, 0, 1
Let y(l) be the first derivative of -l**3/15 + 2*l**2/5 + l + 8. Suppose y(t) = 0. Calculate t.
-1, 5
Let v(a) = -a**5 + a**3 + a**2 + a - 1. Let k(u) = 4*u**5 - 6*u**4 - 10*u**3 - 3*u**2 - 3*u + 3. Let z(m) = k(m) + 3*v(m). Factor z(p).
p**3*(p - 7)*(p + 1)
Let c = 44 - 41. What is q in -1/4*q**5 + 1/4*q**2 - 3/4*q**c + 3/4*q**4 + 0 + 0*q = 0?
0, 1
What is a in -8/7*a**2 + 2/7*a**3 + 12/7 + 2/7*a = 0?
-1, 2, 3
Let a(g) be the first derivative of g**6/135 + 2*g**5/135 + g**4/108 + g**2/2 - 2. Let m(b) be the second derivative of a(b). What is y in m(y) = 0?
-1/2, 0
Let c = 744/2653 + 2/379. Factor 0 + 2/7*w**3 + 0*w + c*w**2.
2*w**2*(w + 1)/7
Let n be (-16)/40*(-7 - -2). Let j be 9/n - (-2)/(-4). Factor 0 - 1/2*p**3 + 1/2*p**5 + p**j - p**2 + 0*p.
p**2*(p - 1)*(p + 1)*(p + 2)/2
Suppose 5*l + 3*o - 6 = 10, 3*o + 4 = 5*l. Suppose 2*u = u. What is n in -l*n**4 - 10/7*n**3 + u - 8/7*n + 32/7*n**2 = 0?
-2, 0, 2/7, 1
Factor 73*p**5 + 2*p**4 - 5*p**2 - 68*p**5 - 5*p**3 + 3*p**4.
5*p**2*(p - 1)*(p + 1)**2
Let m = -131 + 134. Let q(g) be the first derivative of -3/7*g**2 - 1/14*g**4 - 4 + 2/7*g**m + 2/7*g. Find u, given that q(u) = 0.
1
Let b(m) be the third derivative of 0*m + 1/525*m**7 + 0 - 4*m**2 + 1/60*m**6 + 7/60*m**4 + 3/50*m**5 + 2/15*m**3. Factor b(o).
2*(o + 1)**3*(o + 2)/5
Let z(o) = -201*o**2 + 112*o - 11. Suppose -2*v + 7 + 3 = 0. Let u(n) = -200*n**2 + 112*n - 12. Let q(f) = v*u(f) - 4*z(f). Find y such that q(y) = 0.
2/7
Let b(w) = 8*w**4 - 2*w**3 + 12*w**2 - 2*w - 4. Let g(x) = -7*x**4 + 3*x**3 - 12*x**2 + 3*x + 3. Let m(k) = -5*b(k) - 6*g(k). Solve m(t) = 0 for t.
1
Let p be (7/(-2))/(2/(-4)). Suppose 2*c = p*c. Factor c - 4/5*f - 2/5*f**2.
-2*f*(f + 2)/5
Let p = -4254 + 16877/4. Let o = p - -981/28. Solve -2/7*i**2 + 4/7 - o*i = 0.
-2, 1
Let s = -2/67 - -75/268. Factor -3/4*c**2 + s + 1/2*c.
-(c - 1)*(3*c + 1)/4
Suppose 4/11 - 2/11*t**2 - 2/11*t = 0. Calculate t.
-2, 1
Factor -64*d + 840*d**4 + 32 - 4*d**3 + 42*d**2 - 7*d**3 - 839*d**4.
(d - 4)**2*(d - 2)*(d - 1)
Let g(c) be the third derivative of c**8/90720 + c**7/7560 + c**6/1620 - c**5/60 + c**2. Let m(i) be the third derivative 