x) = 15*x**2 - 12*x + 15. Let m(u) = -7*u**2 + 6*u - 7. Let c(p) = -4*k(p) - 9*m(p). Factor c(s).
3*(s - 1)**2
Let u(r) be the second derivative of 2*r**6/15 + 2*r**5/5 - r**4 - 16*r**3/3 - 8*r**2 + 19*r. Let u(z) = 0. What is z?
-2, -1, 2
Let b(m) be the first derivative of m**4/22 - 3*m**2/11 + 4*m/11 - 1. Factor b(v).
2*(v - 1)**2*(v + 2)/11
Let l(n) = 4 + 5 - 2. Let i(m) = -2. Let x(r) = 10*i(r) + 2*l(r). Let p(y) = y**2 - y + 1. Let v(q) = 2*p(q) + x(q). Suppose v(d) = 0. Calculate d.
-1, 2
Let a(c) be the third derivative of -c**6/1980 - c**3/2 - 2*c**2. Let v(o) be the first derivative of a(o). Factor v(w).
-2*w**2/11
Let b(u) = -2*u. Let r be b(-2). Suppose -4*j + r*z - 8 = 0, 0 = 3*j + 4*z - 2*z - 19. Solve 7*l - l + 2*l**j - 8*l = 0.
-1, 0, 1
Let n = -191/4 - -48. Let d = 211/812 - 2/203. Solve d*q + 1/2 - n*q**2 = 0.
-1, 2
Let n = 53/4 - 79/6. Let x(i) be the third derivative of 0*i + 1/6*i**3 - n*i**4 + 2*i**2 + 0 + 1/60*i**5. Factor x(k).
(k - 1)**2
Let z be 3/(27/(-6))*(-7 + 1). Let y be (0 - -3)*2/2. Factor 2*v**4 - 3*v**z - 2 + 3 - 4*v**3 + 2*v**y + 2*v.
-(v - 1)*(v + 1)**3
Let h = 6 - 4. Suppose -1/2*x**3 + 3/2*x**h + 1/2 - 3/2*x = 0. What is x?
1
Suppose 0*u**2 + 0 - 4/7*u**3 + 2/7*u**5 + 2/7*u**4 + 0*u = 0. What is u?
-2, 0, 1
Let i(j) be the third derivative of -j**5/5 + 9*j**4/8 - j**3 - 5*j**2. Suppose i(r) = 0. What is r?
1/4, 2
Let 10/3 - 80/3*r**2 + 5*r - 20/3*r**4 + 25*r**3 = 0. What is r?
-1/4, 1, 2
Let i be (3/(-1))/18*30/(-3). Solve i*u - u**2 - 2/3 = 0.
2/3, 1
Let k(n) be the first derivative of 1/8*n**4 + 1/10*n**5 + 0*n**2 + 0*n - 1/6*n**3 + 1 - 1/12*n**6. Factor k(b).
-b**2*(b - 1)**2*(b + 1)/2
Let v be (-4)/(-22) + 194/22. Let d = v + -6. Determine k so that 4*k**4 + 19*k**2 - 1/2*k**5 + 4 - 14*k - 25/2*k**d = 0.
1, 2
Let u(d) = -3*d**4 - 2*d**3 + 5*d**2. Let p = 2 + -6. Let h(j) = 2*j**4 + 2*j**3 - 4*j**2. Let y(m) = p*h(m) - 3*u(m). Factor y(l).
l**2*(l - 1)**2
Let i(n) be the first derivative of 0*n**2 + 1/4*n**4 + 0*n**3 + 0*n**5 - 1/6*n**6 + 2 + 0*n. Factor i(l).
-l**3*(l - 1)*(l + 1)
Let n be 3/15 + 6/(-45). Let p(f) be the third derivative of -7/150*f**5 + n*f**4 + 0*f + 4/15*f**3 + 0 + 1/150*f**6 + 2*f**2. Find k such that p(k) = 0.
-1/2, 2
Let o(y) = -y**3 + 12*y**2 + 13*y + 2. Let x be o(13). Determine g so that -4*g + 2*g**2 + 2*g + 0*g**2 - 3*g**x = 0.
-2, 0
Suppose 5*j - 15 = -5*k + 4*k, 0 = -5*k. Suppose -18/5*f - 32/5*f**2 - 2/5*f**5 - 4/5 - 28/5*f**j - 12/5*f**4 = 0. What is f?
-2, -1
Let p(r) be the third derivative of 0*r + 0 + 4*r**2 + 3/8*r**4 + 1/20*r**5 + r**3. Let p(u) = 0. What is u?
-2, -1
Let d(o) be the first derivative of 9*o**6/2 - 18*o**5/5 - 15*o**4/4 + 2*o**3 - 10. Solve d(s) = 0.
-2/3, 0, 1/3, 1
Let q(k) be the first derivative of 0*k**4 + 2 + 0*k**3 + 0*k - 1/210*k**5 + k**2 + 1/420*k**6. Let i(h) be the second derivative of q(h). Factor i(v).
2*v**2*(v - 1)/7
Let x(q) be the second derivative of q**6/70 - 9*q**5/140 + 3*q**4/28 - q**3/14 + 11*q. Factor x(z).
3*z*(z - 1)**3/7
Solve -36/5*i**2 - 16/5 - 48/5*i = 0.
-2/3
Let m(a) = -a**3 - a**2 + 2*a + 4. Let x be m(0). Determine f so that 1/2 - 1/2*f**5 + 3/2*f - f**3 + f**2 - 3/2*f**x = 0.
-1, 1
Let n(d) be the third derivative of -d**6/1440 + d**4/96 - 5*d**3/6 - 7*d**2. Let f(c) be the first derivative of n(c). Solve f(q) = 0.
-1, 1
Solve -28*j**4 + 48/5 + 484/5*j**2 + 10*j**5 - 162/5*j**3 - 56*j = 0.
-2, 2/5, 1, 3
Let v = -8 + 10. Suppose 0 = v*o - 0*o. Factor 0 + o*y + 1/5*y**2.
y**2/5
Let n = 7 + -1. Let u be (-10)/(-12) + (-1)/n. Factor -2*v + 2*v**2 + u - 2/3*v**3.
-2*(v - 1)**3/3
Suppose -4*q - 2*r + 6 = 0, -2*q = -0*q - 2*r - 12. Suppose 0*n + 3*n = -4*l, 5*n = q*l. Factor 2/7*b**3 - 2/7*b**5 + 0 + 2/7*b**2 - 2/7*b**4 + l*b.
-2*b**2*(b - 1)*(b + 1)**2/7
Let a(v) = -2*v**5 + v**4 + 3*v**2 - 3. Let q(p) = 2 - 3 - 2*p**5 - 1 + 2*p**2. Let g(m) = 2*a(m) - 3*q(m). Factor g(f).
2*f**4*(f + 1)
Suppose 0 = 3*y - 9 + 3. Factor -1 + 2*z - 5*z**2 - 2 + 5 + z**y.
-2*(z - 1)*(2*z + 1)
Let u be -12*-1*(-3)/(-6). Let m = 9 - u. Let s(k) = 2*k**2 - 7*k + 5. Let n(r) = -2*r**2 + 8*r - 6. Let p(x) = m*n(x) + 4*s(x). Factor p(z).
2*(z - 1)**2
Let f(t) be the third derivative of t**8/16800 - t**7/3150 + t**6/1800 + t**4/24 + 4*t**2. Let p(k) be the second derivative of f(k). Factor p(x).
2*x*(x - 1)**2/5
Let l be 1 + -107 + 8/(-20). Let i = -106 - l. Suppose -o - i*o**4 - 9/5*o**2 - 7/5*o**3 - 1/5 = 0. What is o?
-1, -1/2
Let w(x) be the second derivative of -x**5/4 + 5*x**4/12 + 13*x - 1. Factor w(y).
-5*y**2*(y - 1)
Factor 6/13 - 2/13*m**2 + 4/13*m.
-2*(m - 3)*(m + 1)/13
Factor 14*s**2 - 69/2*s**3 - 25/2*s**5 + 0 - 2*s + 35*s**4.
-s*(s - 1)**2*(5*s - 2)**2/2
Let f = 202/3 - 66. What is i in -4/3*i - f - 1/3*i**2 = 0?
-2
Let k(n) be the first derivative of n**3/5 - 3*n**2/10 + 1. Suppose k(b) = 0. Calculate b.
0, 1
Let g(r) = r**2 + 2*r - 1. Let h be g(-3). Let 2*u**h - 3*u**5 + 6*u**3 - 2*u + 3*u**5 - 10*u**4 + 4*u**5 + 0*u**3 = 0. Calculate u.
-1/2, 0, 1
Let w(s) be the first derivative of -4/3*s**3 + 0*s - 2*s**2 - 1/4*s**4 - 2. Factor w(y).
-y*(y + 2)**2
Suppose 2*w = w. Factor w*u**3 - 6*u**4 + 2*u**5 - 3*u**5 - 3*u**3 - 2*u**5.
-3*u**3*(u + 1)**2
Suppose 0 = 5*v - 40 - 15. Let l = v - 5. Factor 0*h**3 - l*h**3 - h**5 - h - 2*h**4 - 4*h**2 - 2*h**4.
-h*(h + 1)**4
Let a = 5 + -2. Factor -5*j**a - 18*j**3 + 2 - 2*j**5 + 3*j**3 - 10*j + 10*j**4 + 20*j**2 + 0*j**3.
-2*(j - 1)**5
Suppose 4*x = 4*p + 20, 0 = -3*p - 2*p + 2*x - 10. Let a(l) be the second derivative of -2*l + 0*l**3 - 1/6*l**2 + 1/36*l**4 + p. Factor a(i).
(i - 1)*(i + 1)/3
Let b be (60/(-50))/(-3*1). Factor -6/5*w - 2/5 - b*w**3 - 6/5*w**2.
-2*(w + 1)**3/5
Let x = 10 - 7. Let o(t) be the first derivative of -1/15*t**5 + 1/3*t**x + 0*t**4 + 2 + 0*t + 1/3*t**2. Solve o(k) = 0 for k.
-1, 0, 2
Suppose -4*o + o + 9 = 0. Suppose -o*a = -0*a - 15. Factor 2*u**3 + 3*u**3 - 2*u**5 - 2*u + 4*u**3 - a*u**3.
-2*u*(u - 1)**2*(u + 1)**2
Let k(i) be the first derivative of i**6/252 + i**5/210 + 7*i**3/3 + 6. Let h(c) be the third derivative of k(c). Factor h(m).
2*m*(5*m + 2)/7
Let r be 23/7 + -4 + (-182)/(-49). Factor 1/3*s - 1/3*s**r - s**2 + 1/3*s**4 + 2/3.
(s - 2)*(s - 1)*(s + 1)**2/3
Let s(g) be the first derivative of 0*g - 4 - 2/3*g**3 - g**2. Suppose s(h) = 0. Calculate h.
-1, 0
Let b(o) be the first derivative of o**6/3 - 6*o**5/5 + 3*o**4/2 - 2*o**3/3 + 2. Solve b(h) = 0 for h.
0, 1
Let u = -224 + 226. What is r in 0 - 2/5*r**3 - 4/5*r**u + 2/5*r**4 + 0*r = 0?
-1, 0, 2
Let p(g) be the second derivative of g**4/42 + 11*g**3/21 + 18*g**2/7 - 56*g. Let p(r) = 0. Calculate r.
-9, -2
Let j(x) be the first derivative of 1/6*x**3 + 0*x + 2 + 0*x**2. What is c in j(c) = 0?
0
Let p(z) be the third derivative of -z**2 - 1/120*z**5 + 1/96*z**4 + 0 + 0*z**3 + 0*z + 1/480*z**6. Factor p(a).
a*(a - 1)**2/4
Find o such that -2/5*o**2 + 22/5*o - 4 = 0.
1, 10
Suppose 0 + 8/7*u**2 - 12/7*u**3 + 0*u + 4/7*u**4 = 0. What is u?
0, 1, 2
Let b = 253/6 + -42. Let i(v) be the second derivative of -1/20*v**5 - 3*v + 0 + 1/2*v**2 + b*v**3 - 1/12*v**4. Factor i(a).
-(a - 1)*(a + 1)**2
What is y in 3/4*y - 1/4*y**3 + y**2 - 9/2 = 0?
-2, 3
Let h(x) = -8*x**3 - 26*x**2 + 4*x + 12. Let a(b) = -7*b**3 - 27*b**2 + 3*b + 13. Let c(g) = 4*a(g) - 5*h(g). Determine m, given that c(m) = 0.
-2, -1/2, 2/3
Determine w, given that 4/7*w**2 + 8/7*w + 4/7 = 0.
-1
Let h(j) be the second derivative of -j**4/20 - j**3/10 - 3*j. Solve h(n) = 0 for n.
-1, 0
Let u = -542/3 + 181. Let c be 3/6*(-4)/(-3). Let 1/3*q**4 + c*q**3 + 0 - 2/3*q - u*q**2 = 0. What is q?
-2, -1, 0, 1
Let s be 12*((-4)/(-3) - 1). Let j be -2*1*1 + s. Let 2*u**4 - u**2 - 5*u**3 + 2*u**5 + 3*u**3 - u**j = 0. Calculate u.
-1, 0, 1
Factor -9/2*o**2 - 81/4*o + 0 - 1/4*o**3.
-o*(o + 9)**2/4
Determine f so that -15/2*f**2 - 2 + 7*f + 5/4*f**3 + 2*f**4 - 3/4*f**5 = 0.
-2, 2/3, 1, 2
Let i(b) be the first derivative of -2*b**5/5 + 2*b**4 - 4*b**3/3 - 4*b**2 + 6*b - 47. Factor i(d).
-2*(d - 3)*(d - 1)**2*(d + 1)
Let i(v) be the second derivative of v**7/42 + v**6/6 + v**5/10 - 2*v**4/3 - 4*v - 3. What is s in i(s) = 0?
-4, -2, 0, 1
Suppose -8*n = -5*n - 9. Factor 1/2*u**2 + 0*u - u**n + 1/2*u**4 + 0.
u**2*(u - 1)**2/2
Let p(m) be the third derivative of -3*m**5