nd b, given that -15*b**5 + 21*b**v - 18 - 6*b**3 + 18 = 0.
0, 2/5, 1
Let b(q) be the second derivative of q**4/16 - 5*q**3/2 + 75*q**2/2 + 10*q. Solve b(v) = 0 for v.
10
Let q(w) be the second derivative of -4*w**5 - 28*w**4/3 - 26*w**3/3 - 4*w**2 - 18*w. Factor q(y).
-4*(2*y + 1)**2*(5*y + 2)
Let c(f) be the first derivative of 0*f**3 + 0*f**2 + 5 - 1/2*f**4 + 0*f. Factor c(v).
-2*v**3
Let k = 207/88 + -13/8. Factor -98/11*i**3 + 48/11*i + 42/11*i**2 + k.
-2*(i - 1)*(7*i + 2)**2/11
Let b(s) = -s + 4. Let k be b(6). Let i = 0 - k. Factor -1/2*l**i + 1/2 + 0*l.
-(l - 1)*(l + 1)/2
Suppose 1 + 1 = x. Factor -x + 0*o**2 - 5*o - o**2 + 4 + 4*o.
-(o - 1)*(o + 2)
Let o(h) be the first derivative of -10*h**3/21 + 4*h**2 + 24*h/7 - 3. Let o(q) = 0. What is q?
-2/5, 6
Suppose 4*o - 10 = -o. Let p(i) be the first derivative of 0*i**o + 0*i - 2 + 1/2*i**4 + 2/3*i**3. Factor p(j).
2*j**2*(j + 1)
Suppose -i = -0*i, -p = -i + 5. Let q = p + 7. Find l such that 16*l**2 + 10*l**3 + q*l**4 + 0 + 8*l + 0 = 0.
-2, -1, 0
Let m(g) = 20*g**3 + 16*g**2 - 40*g + 8. Let d(x) = -x**3 - x**2 + x. Let n(b) = -4*d(b) - m(b). Suppose n(h) = 0. What is h?
-2, 1/4, 1
Suppose -99 = -2*v - 93. Factor -3/2 + 1/2*a**v + 7/2*a - 5/2*a**2.
(a - 3)*(a - 1)**2/2
Let k = 8 + -4. Let g be 15/2*4/6. Factor k*q**2 - g*q**3 - 5*q**2 + q**3.
-q**2*(4*q + 1)
Suppose -2*l = 9 + 5. Let n = l - -11. Determine u so that 32*u**3 - 6*u**2 - 30*u**n - u + 8*u**5 + 0*u**3 - 3*u = 0.
-1/4, 0, 1, 2
Let z(j) be the second derivative of -2*j**4/3 + 2*j**3/3 + 2*j**2 - 2*j. Find w, given that z(w) = 0.
-1/2, 1
Let i(w) be the first derivative of -w**7/70 - 3*w**6/40 - 3*w**5/20 - w**4/8 + w**2/2 - 2. Let m(r) be the second derivative of i(r). Factor m(h).
-3*h*(h + 1)**3
Suppose -5*t = -a - 11 - 9, 4*a + 4 = t. Factor -3*h - 3/2*h**4 + 3*h**3 + 3/2 + a*h**2.
-3*(h - 1)**3*(h + 1)/2
Let i(n) = -2*n**3 + 4*n**2 + 4*n. Let u(o) = -o**3 + 4*o**2 + 3*o. Let h be (-1 + 1 + -4)*-1. Let t(g) = h*u(g) - 3*i(g). Suppose t(d) = 0. What is d?
-2, 0
Find f such that 3*f**2 + 15/4*f + 3/2 + 3/4*f**3 = 0.
-2, -1
Factor -4/7 + 6/7*x - 2/7*x**2.
-2*(x - 2)*(x - 1)/7
Let s(j) = -10*j**2 + 31*j + 1. Let x(n) = -2*n**2 + 6*n. Let m = -6 + -5. Let f(t) = m*x(t) + 2*s(t). Factor f(d).
2*(d - 1)**2
Let r = -2/83 + 180/581. Let n = 2341 + -2341. Determine u, given that -6/7*u**2 + 6/7*u**3 - r*u**4 + n + 2/7*u = 0.
0, 1
Let c(j) = -j**2 - 8*j + 13. Let v be c(-9). Let k(z) be the first derivative of -1 - 9/2*z**6 - 27/5*z**5 + 26/3*z**3 + 9/2*z**2 + 9/2*z**v + z. Factor k(u).
-(u - 1)*(u + 1)*(3*u + 1)**3
Let o = 29 + -111/4. Let 7/4*k**4 - 1/2*k**3 + 0 + 0*k**2 - o*k**5 + 0*k = 0. Calculate k.
0, 2/5, 1
Let g = 78/245 - -4/49. Factor -1/5*o**2 - 1/5 + g*o.
-(o - 1)**2/5
Let d(l) = 9*l**2 - 29*l + 36. Let j(b) = -5*b**2 + 15*b - 18. Let t(x) = -3*d(x) - 5*j(x). Factor t(z).
-2*(z - 3)**2
Let d(b) be the third derivative of -b**5/240 + b**4/96 + b**3/4 + 4*b**2 - 3*b. Factor d(m).
-(m - 3)*(m + 2)/4
Let n(x) be the first derivative of -2*x**5/25 + x**4/4 - x**3/15 - x**2/5 + 15. Let n(d) = 0. What is d?
-1/2, 0, 1, 2
Suppose -y = 4*j - 3*j + 27, 0 = -5*j + y - 159. Let g = 63/2 + j. Factor 1/2 + u + g*u**2.
(u + 1)**2/2
Let q(t) be the first derivative of 4*t**3/3 - 12*t**2 + 36*t - 14. Let q(f) = 0. Calculate f.
3
Factor 25*f**2 + 18 + 51*f + 35 - 3 - 166*f + 10*f**3.
5*(f - 2)*(f + 5)*(2*f - 1)
Let s(x) be the second derivative of x**7/63 + x**6/45 - x**5/15 - x**4/9 + x**3/9 + x**2/3 + 8*x. Factor s(l).
2*(l - 1)**2*(l + 1)**3/3
Let h(n) be the second derivative of -n**5/40 - 7*n**4/24 - n**3/3 + 3*n**2 - 7*n. Find i, given that h(i) = 0.
-6, -2, 1
Let y(a) be the first derivative of -a**4/12 - 4*a**3/9 + a**2/6 + 4*a/3 + 22. Solve y(m) = 0 for m.
-4, -1, 1
Find b, given that 16/3 + 8/3*b + 1/3*b**2 = 0.
-4
Let g(b) = -b**3 - 16*b**2 + 16*b - 13. Let w be g(-17). Suppose -2/3*m**5 + 0*m**2 - 2/3*m**3 + 4/3*m**w + 0 + 0*m = 0. What is m?
0, 1
Suppose -3*p + 19 + 3 = 2*u, -5*p - 5*u = -45. Let o(t) be the second derivative of t + 0*t**3 - 1/10*t**2 + 0 + 1/60*t**p. Suppose o(z) = 0. What is z?
-1, 1
Determine t so that -1/4*t - 1/4*t**4 + 1/4*t**3 - 1/2 + 3/4*t**2 = 0.
-1, 1, 2
Suppose 0 = 3*y - 2*r - 2, 2*y - 4*y + 23 = 3*r. Factor -3*u**2 + 11*u**y - 5*u**4 + 2*u**3 - u**2.
2*u**2*(u + 1)*(3*u - 2)
Let w(z) = -4*z**3 + 4*z + 5 + 2*z**4 + 0*z + 2 + z**4. Let o = -27 - -41. Let u(c) = 8*c**4 - 12*c**3 + 12*c + 20. Let v(y) = o*w(y) - 5*u(y). Factor v(l).
2*(l - 1)*(l + 1)**3
Suppose c + 2*c + 14 = -4*x, 5*x = 3*c - 31. Let v be (-3)/2 - (c + -4). Determine p so that 0 + 1/2*p**2 - 1/2*p**4 - 1/2*p**5 + 0*p + v*p**3 = 0.
-1, 0, 1
Let m(a) be the first derivative of a**6/2 + 3*a**5/5 - 3*a**4/4 - a**3 - 6. Factor m(r).
3*r**2*(r - 1)*(r + 1)**2
Let u(s) = -6*s**2 - 12*s - 6. Let m(l) = 2*l**2 + 4*l + 2. Suppose 0 = 5*n + 15, 2*y + 8 = -4*n - 10. Let v(i) = y*u(i) - 8*m(i). Find p such that v(p) = 0.
-1
Let t be (-18)/(-4) + (-2)/(-4). Factor p**3 + 5*p**2 - t*p**4 - p - 3*p**3 + 3*p.
-p*(p - 1)*(p + 1)*(5*p + 2)
Factor 4/5 + 14/5*o**3 - 14/5*o - 4/5*o**2.
2*(o - 1)*(o + 1)*(7*o - 2)/5
Factor j + 0 + 1/2*j**2.
j*(j + 2)/2
Let m(b) be the first derivative of -5*b**4/4 + 5*b**3/3 + 5*b**2 + 23. Find i, given that m(i) = 0.
-1, 0, 2
Let j = 1975/14 + -141. Let m(d) be the second derivative of 0*d**2 + 9/20*d**5 + 3*d + 1/4*d**4 + 3/10*d**6 + 0*d**3 + j*d**7 + 0. Factor m(y).
3*y**2*(y + 1)**3
Let z(r) = r - 2. Let t be z(4). Let 3*g**2 - 2*g**t + 2*g**2 - 2*g**2 = 0. Calculate g.
0
Let l = -234 - -234. Factor 2/3*t**5 + l + 2/3*t**2 + 0*t - 2/3*t**4 - 2/3*t**3.
2*t**2*(t - 1)**2*(t + 1)/3
Let a(c) = 9*c**4 + 9*c**3 - 17*c**2 - 4*c + 3. Let f(s) = -5 + 2*s**2 + 2*s + 4 - 6*s**4 + 7*s**2 - 5*s**3 + s**4. Let r(o) = 3*a(o) + 5*f(o). Factor r(x).
2*(x - 1)**2*(x + 1)*(x + 2)
Let c(a) = a**2 - 15*a + 16. Let b be c(14). Let o be 20/84 - 2/(-6). Let -2/7*q**3 + 0 - o*q**b + 0*q = 0. What is q?
-2, 0
Let o = -565 + 3965/7. Suppose -o*u**3 - 2*u - 2/7*u**4 - 18/7*u**2 - 4/7 = 0. What is u?
-2, -1
Factor -2/11*j**3 + 0*j**2 + 6/11*j - 4/11.
-2*(j - 1)**2*(j + 2)/11
Let p(a) be the second derivative of -a**4/24 + a**2/4 - 11*a. Let p(f) = 0. Calculate f.
-1, 1
Let n(x) be the third derivative of -x**6/300 + x**5/150 + 18*x**2. Solve n(k) = 0.
0, 1
Let q(n) be the third derivative of n**5/30 - n**4/4 + 2*n**3/3 - 8*n**2. Let q(t) = 0. What is t?
1, 2
Let g = 69 + -67. Let -5/2*c**2 - g + 8*c - 7/2*c**3 = 0. Calculate c.
-2, 2/7, 1
Factor 81/2 - 3/2*d**3 - 81/2*d + 27/2*d**2.
-3*(d - 3)**3/2
Let k(r) = -4*r. Let o be k(-2). Suppose -2*s + o = 2*s. Let -1/2 + 1/2*q**4 - 7/4*q - 1/2*q**3 + 1/4*q**5 - 2*q**s = 0. What is q?
-1, 2
Let g(r) be the third derivative of r**8/8960 - r**7/1680 - r**6/960 + r**5/80 + r**4/8 + 2*r**2. Let a(b) be the second derivative of g(b). Solve a(k) = 0.
-1, 1, 2
Let d = -67/60 + 7/6. Let t(c) be the second derivative of 0 - 2*c - 1/6*c**3 + d*c**5 + 0*c**2 + 0*c**4. Factor t(w).
w*(w - 1)*(w + 1)
Suppose 2 = -o + 4. Suppose -6 = -o*i + 2. Factor -i*l**3 - 4*l**2 + 4*l**2 + 2*l + 2*l**5.
2*l*(l - 1)**2*(l + 1)**2
Let w(c) be the second derivative of c**7/14 - c**6/2 + 3*c**5/5 - 24*c. Factor w(h).
3*h**3*(h - 4)*(h - 1)
Let n be (1/2)/(6/36). Let a be 1*((-6)/n + 4). Solve -2*k**5 - k**3 + a*k**4 + 11*k**3 - 2*k**2 + 0*k**3 - 4*k**5 - 4*k = 0.
-1, -2/3, 0, 1
Let c(g) be the third derivative of g**6/2340 + g**5/130 + 3*g**4/52 - 4*g**3/3 + 5*g**2. Let j(p) be the first derivative of c(p). Factor j(i).
2*(i + 3)**2/13
Let r be 2 + 2/(-4)*4. What is d in r + 1/4*d**2 - 1/4*d**3 + 0*d = 0?
0, 1
Let c(v) = -3*v**5 - 5*v**4 - 15*v**3 - 45*v**2 - 17*v + 15. Let r(d) = -2*d**5 - 3*d**4 - 7*d**3 - 23*d**2 - 9*d + 8. Let b(n) = 6*c(n) - 11*r(n). Factor b(w).
(w - 2)*(w + 1)**3*(4*w - 1)
Let g = 6 + -8. Let y = g - -8. What is u in -u**2 - y - 3*u**2 + 3*u**2 - 2*u**2 + 9*u = 0?
1, 2
Let b(y) = 3 + 5 - y - 5. Let q be b(-3). Let l(d) = d**3 + 5. Let m(s) = -s - 1. Let p(r) = q*m(r) + 2*l(r). Factor p(a).
2*(a - 1)**2*(a + 2)
Suppose 0 = 5*x + 2*o - 17, -28*x = -30*x + 4*o + 26. Factor 0*l**3 + 4/9*l**2 + 0 + 2/9*l - 4/9*l**4 - 2/9*l**x.
-2*l*(l - 1)*(l + 1)**3/9
Let y(f) be the third derivative of -f**8/110880 + f**7/13860