b(p) = 0.
-1/2
Let o(g) be the first derivative of g**6/6 - g**5/5 - 3*g**4/2 + 14*g**3/3 - 11*g**2/2 + 3*g - 7. Factor o(x).
(x - 1)**4*(x + 3)
Factor 0*s**2 - 3/2*s**4 + 1/4*s**5 + 0*s + 9/4*s**3 + 0.
s**3*(s - 3)**2/4
Let f(z) = -z**3 - z**2 + 1. Let k(u) = -7*u**3 - 9*u**2 + u + 9. Let j(t) = 6*f(t) - k(t). Factor j(x).
(x - 1)*(x + 1)*(x + 3)
Let o(q) be the third derivative of 0*q - 2*q**2 + 1/27*q**3 + 0 + 1/945*q**7 - 1/27*q**4 + 1/45*q**5 - 1/135*q**6. Factor o(i).
2*(i - 1)**4/9
Let 0*o**2 + 0*o + 0 + 1/2*o**3 = 0. What is o?
0
Let d(f) be the third derivative of 2*f**2 - 1/200*f**6 - 11/300*f**5 + 0*f**3 - 1/20*f**4 + 0*f + 0. Factor d(m).
-m*(m + 3)*(3*m + 2)/5
Let n(j) = j**4 + 2*j**3 + 2*j**2 + 1. Let l(k) = k**4 + k**2 + k. Suppose -d = -0*d - 2. Let b = -9 + 8. Let y(u) = b*n(u) + d*l(u). Find w such that y(w) = 0.
-1, 1
Let o(q) be the first derivative of 3*q**5/20 - 3*q**4/4 + q**3 - 3*q + 2. Let x(j) be the first derivative of o(j). Factor x(g).
3*g*(g - 2)*(g - 1)
Let u(j) be the first derivative of j**6/27 - 4*j**5/45 - j**4/6 - 35. Determine t, given that u(t) = 0.
-1, 0, 3
Let d(a) be the first derivative of 0*a**2 - 1/12*a**6 + 0*a**5 + 0*a**3 + 1/8*a**4 + 0*a - 1. Solve d(u) = 0 for u.
-1, 0, 1
Let b(i) = -14*i**2 + 2*i + 4. Let j(x) = 5*x**2 - x - 1. Let k(d) = 3*b(d) + 8*j(d). Find r, given that k(r) = 0.
-2, 1
Let v(a) = -a + 3. Let p be v(-2). Let z(g) be the second derivative of 2*g + 0*g**4 + 0 + 0*g**3 - 1/10*g**p + 0*g**2. Factor z(m).
-2*m**3
Let o(w) be the third derivative of -w**5/60 - w**4/24 + w**3/3 + 14*w**2. Factor o(d).
-(d - 1)*(d + 2)
Let d(y) = -144*y**3 - 80*y**2 + 127*y + 89. Let v(m) = 96*m**3 + 53*m**2 - 85*m - 59. Let p(k) = 5*d(k) + 8*v(k). Factor p(u).
3*(u - 1)*(4*u + 3)**2
Suppose 15*o**2 + 46*o - 19*o - 17*o + 5*o**3 = 0. What is o?
-2, -1, 0
Suppose 70 + 10 = -4*j. Let z be j/18*(-6)/10. Determine c so that 0*c**2 + 0 + 2/3*c**3 + 0*c - z*c**4 = 0.
0, 1
Let z(i) be the second derivative of 1/60*i**5 - 1/90*i**6 + 0*i**3 - 1/126*i**7 + 1/36*i**4 - 4*i + 0 + 0*i**2. Let z(f) = 0. Calculate f.
-1, 0, 1
Let q = -3 + 3. Suppose 3*x + 11 = 2*g + 3*g, q = -4*x - 3*g + 24. Factor 0*r**2 - 2*r**3 - x*r**2 + r**2.
-2*r**2*(r + 1)
Let i(u) = -u + 9. Let f be i(-7). Suppose -2*b = -6*b + f. Determine p, given that -p**3 - 3*p**4 + p**2 + 2*p**b + 0*p + p = 0.
-1, 0, 1
Let j(s) be the second derivative of 1/3*s**3 + 7/12*s**4 + 3*s + 0 - 1/2*s**2 + 1/5*s**5. Factor j(d).
(d + 1)**2*(4*d - 1)
Let b(x) be the first derivative of 0*x - 2 - 1/14*x**2 + 1/21*x**3. Determine c, given that b(c) = 0.
0, 1
Factor 0*r + 2/9*r**4 + 8/9*r**3 + 0*r**2 + 0.
2*r**3*(r + 4)/9
Let o(w) be the first derivative of -4 + 4/3*w - 4/3*w**2 + 7/12*w**4 + 1/9*w**3 + 1/18*w**6 - 1/3*w**5. Solve o(q) = 0 for q.
-1, 1, 2
Let s(v) = -41*v**3 - 84*v**2 - 53*v - 8. Let o(u) = 42*u**3 + 84*u**2 + 54*u + 9. Let y(l) = 2*o(l) + 3*s(l). Determine r, given that y(r) = 0.
-1, -2/13
Let c(n) = n**2 - 29*n + 33. Let t(i) = i**2 - 15*i + 17. Let g(j) = 3*c(j) - 5*t(j). Factor g(r).
-2*(r - 1)*(r + 7)
Solve b**2 + 0 - 5/4*b + 1/4*b**3 = 0 for b.
-5, 0, 1
Let w(n) = -7*n**4 + 13*n**3 - 11*n**2 - n + 2. Let v(j) = 15*j**4 - 26*j**3 + 22*j**2 + j - 3. Let p(i) = -4*v(i) - 9*w(i). Let p(r) = 0. Calculate r.
-2/3, 1, 3
Let n(f) be the first derivative of -27/8*f**4 + 0*f - 2 - 1/2*f**3 + 39/10*f**5 - 5/4*f**6 + 3/2*f**2. Let n(m) = 0. What is m?
-2/5, 0, 1
Factor 21/4*k + 27/4*k**2 + 3/4*k**4 + 15/4*k**3 + 3/2.
3*(k + 1)**3*(k + 2)/4
Solve -3/4*h**3 + 0 + 0*h + 0*h**2 - 3/4*h**5 + 3/2*h**4 = 0.
0, 1
Let y(m) be the third derivative of 4*m**7/315 - 67*m**6/540 + 38*m**5/135 + 19*m**4/36 - 2*m**3/3 + 26*m**2 + 2. Let y(p) = 0. What is p?
-2/3, 1/4, 3
Factor 2*j + j**3 - 3*j**3 + j**4 + j**5 - 2*j.
j**3*(j - 1)*(j + 2)
Let y = 76 - 74. Let u(f) be the second derivative of 1/21*f**3 + 0*f**5 + 0*f**y - 1/147*f**7 + 2/105*f**6 - 2*f + 0 - 1/21*f**4. Determine d so that u(d) = 0.
-1, 0, 1
Let n(v) be the third derivative of 0 - 1/6*v**3 - 7*v**2 - 2/15*v**5 + 0*v + 3/70*v**7 + 1/20*v**6 - 1/4*v**4. Factor n(w).
(w - 1)*(w + 1)*(3*w + 1)**2
Suppose -10 = -17*i + 12*i. Solve 3/4*f**3 + 0 - 9/4*f**4 - f + i*f**2 = 0.
-1, 0, 2/3
Let a(d) be the third derivative of -d**8/504 + d**6/180 - 16*d**2. Let a(l) = 0. Calculate l.
-1, 0, 1
Let m be (2/24 + 0)*(35 + -26). Factor 27/4 + m*g**2 - 9/2*g.
3*(g - 3)**2/4
Let j(g) be the third derivative of -g**8/252 + 8*g**7/315 - g**6/18 + 2*g**5/45 - 15*g**2. Factor j(p).
-4*p**2*(p - 2)*(p - 1)**2/3
Factor -3/7*k**4 + 3/7*k**2 + 0 - 6/7*k + 6/7*k**3.
-3*k*(k - 2)*(k - 1)*(k + 1)/7
Let t(z) = -9*z**3 + 2*z**2 + 4*z. Let o(x) = 4 + x**2 - 5 + 1 + 2*x - 5*x**3. Let b(n) = 7*o(n) - 4*t(n). Suppose b(g) = 0. What is g?
-1, 0, 2
Suppose 2/7*c**5 + 4/7*c**4 + 0*c**2 + 0 + 0*c + 2/7*c**3 = 0. Calculate c.
-1, 0
Factor 2/5*r**3 - 1/5*r**2 + 1/5*r**4 - 2/5*r + 0.
r*(r - 1)*(r + 1)*(r + 2)/5
Let j(s) be the third derivative of s**6/660 - s**5/330 - 13*s**2. Factor j(o).
2*o**2*(o - 1)/11
Let l be (-22)/99 - 124/9. Let g be 2/l - (-102)/126. Factor g*p**3 + 2/9*p**4 - 8/9*p + 0*p**2 + 0.
2*p*(p - 1)*(p + 2)**2/9
Let w(k) = -4*k**3 - 2*k. Let s(z) = -9*z**3 - z**2 - 5*z. Let c(v) = -4*s(v) + 10*w(v). Factor c(f).
-4*f**2*(f - 1)
Let m(z) be the second derivative of z**5/70 + z**4/21 - 2*z. Factor m(v).
2*v**2*(v + 2)/7
Let k = 14/85 - -4/17. What is c in k*c**2 + 8/5 - 8/5*c = 0?
2
Let a(v) be the third derivative of -v**6/480 - v**5/240 - v**2. Solve a(c) = 0.
-1, 0
Let k = 606 + -6664/11. Let k*c**5 + 0 - 6/11*c**3 + 4/11*c - 2/11*c**2 + 2/11*c**4 = 0. What is c?
-2, -1, 0, 1
Suppose -3*k = 5*c + 19, -2*k + 0*c - c = 1. Factor h**2 - h**3 - k*h**5 - h**4 + 6*h**5 - 3*h**5.
h**2*(h - 1)**2*(h + 1)
Let u = 463/306 - 2/153. Determine s, given that 1/2*s - 3/2*s**2 + u*s**3 - 1/2*s**4 + 0 = 0.
0, 1
Let d(p) be the third derivative of p**10/75600 - p**8/5040 + p**6/360 + p**5/30 + 5*p**2. Let f(h) be the third derivative of d(h). Factor f(v).
2*(v - 1)**2*(v + 1)**2
Let z(l) be the first derivative of -l**4/2 - 2*l**3/3 + l**2 + 2*l - 8. Suppose z(x) = 0. What is x?
-1, 1
Let p = 10 + -7. Suppose -2*h = -p*h. Let h*g**2 - g**3 + 0*g**3 + 2*g**2 = 0. Calculate g.
0, 2
Let v(x) be the second derivative of -x**7/7560 - x**6/1080 - x**5/360 - x**4/3 - 5*x. Let i(z) be the third derivative of v(z). Factor i(f).
-(f + 1)**2/3
Let p(h) be the first derivative of h**6/3 - h**4/2 - 6. Let p(b) = 0. What is b?
-1, 0, 1
Let h(b) be the third derivative of -b**6/30 - b**5/5 - b**4/3 - 51*b**2. Factor h(n).
-4*n*(n + 1)*(n + 2)
Find q, given that -1/10*q - 1/10*q**2 + 1/5 = 0.
-2, 1
Solve 0 + 6/7*y + 2/7*y**2 = 0 for y.
-3, 0
Suppose 0*u = 4*q + 4*u - 16, -4*q + u + 6 = 0. Suppose -1/4*v - 1/4*v**q + 0 = 0. What is v?
-1, 0
Let h(v) be the second derivative of v**6/180 - v**5/60 - v**4/18 + 2*v**3/9 - 10*v. Find r, given that h(r) = 0.
-2, 0, 2
Let q be 0 + (-3)/24*-4. Let g(y) be the second derivative of -1/20*y**5 + 0 + q*y**2 + 3*y - 1/12*y**4 + 1/6*y**3. Solve g(r) = 0.
-1, 1
Let 8/13 - 40/13*a + 18/13*a**3 + 14/13*a**2 = 0. What is a?
-2, 2/9, 1
Let h be 2/9 + (-4)/216*-69. Factor 0 + 3/2*i**3 + h*i**4 - 3/2*i**2 - 3/2*i.
3*i*(i - 1)*(i + 1)**2/2
Let a(b) = -15*b**3 - 6*b**2 + 3*b + 3. Let t(c) = -c**3 - c**2 + c + 1. Let l(q) = -a(q) + 3*t(q). Find z such that l(z) = 0.
-1/4, 0
Let w be -2 + -5 + (-2 - -5). Let g be 1/w*(-24)/12. Let 1/4 - g*z**3 + 1/4*z**4 + 1/4*z**5 + 1/4*z - 1/2*z**2 = 0. What is z?
-1, 1
Let k(g) be the second derivative of 1/15*g**4 - 1/50*g**5 - 2*g + 0 + 1/15*g**3 - 2/5*g**2. Determine p so that k(p) = 0.
-1, 1, 2
Let k(g) be the second derivative of g**6/45 - g**5/60 - g**4/36 - 14*g. Suppose k(u) = 0. What is u?
-1/2, 0, 1
Let c = 3/31 + 81/124. Let n = -85 + 88. Factor -x**2 - 1/4*x + c*x**n + 1/2.
(x - 1)**2*(3*x + 2)/4
Let g(m) = -m**5 + 7*m**4 - 8*m**3 - m**2. Let n(r) = r**4 - r**3 - r**2. Let k(b) = -5*g(b) + 15*n(b). Factor k(l).
5*l**2*(l - 2)*(l - 1)**2
Let w = -1/87 - -39/29. Factor w*h - 1/3*h**2 - 4/3.
-(h - 2)**2/3
Let f be (6/71)/(3/2). Let v = f + 106/639. Solve 0*q + 2/9*q**3 - 2/9*q**2 - v*q**5 + 2/9*q**4 + 0 = 0.
-1, 0, 1
Let f(r) = r - 3. Let j be f(6). Factor 3*p - 2*p**3 + 0*p - 4*p**2 + 