of g**7/35 - g**6/20 - 3*g**5/40 + g**4/8 + g**3/4 - 17*g**2 + 7*g. Let c(p) be the first derivative of m(p). Factor c(q).
3*(q - 1)**2*(2*q + 1)**2/2
Let h(y) be the second derivative of y**5/45 - 4*y**4/27 + 2*y**3/9 - 97*y. Suppose h(b) = 0. What is b?
0, 1, 3
Let b = 8181 + -8181. Factor -5/4*q**3 + b + 5/4*q**5 - 5/4*q**4 + 5/4*q**2 + 0*q.
5*q**2*(q - 1)**2*(q + 1)/4
Let i be (-33)/(-9) - ((-288)/(-432) - 7/(-3)). Factor 2/9*v**2 - 4/9*v - i.
2*(v - 3)*(v + 1)/9
Let k(q) be the third derivative of -q**5/60 - 3*q**4/2 - 54*q**3 + 355*q**2. Solve k(g) = 0 for g.
-18
Let y(u) be the third derivative of -u**7/735 + u**6/70 - 2*u**5/105 - u**4/14 + 5*u**3/21 - 265*u**2. Determine o, given that y(o) = 0.
-1, 1, 5
Let x be (1 - -1)/(-1 + 2). Let y be 4 + 0 + (-16 - -12). Factor 6/7*o**x + y + 2/7*o**5 + 0*o + 2/7*o**4 - 10/7*o**3.
2*o**2*(o - 1)**2*(o + 3)/7
Let s be 54/405 + (-4)/30. Let w(c) be the third derivative of 3/20*c**5 - 3/2*c**3 + 0 + s*c - 1/8*c**4 + 1/40*c**6 + 5*c**2. Determine n, given that w(n) = 0.
-3, -1, 1
Let n be (-2 - (0 - 8/(-12))) + 3. Factor 0*b**2 + 0 + 1/3*b**3 + 0*b + 2/3*b**4 + n*b**5.
b**3*(b + 1)**2/3
Suppose -12/11*x**3 + 26/11*x**2 + 0 + 12/11*x - 26/11*x**4 = 0. Calculate x.
-1, -6/13, 0, 1
Determine r so that 0 - 3*r**4 + 43/3*r**3 - 4*r - 44/3*r**2 = 0.
-2/9, 0, 2, 3
Let z(r) be the first derivative of r**8/112 + r**7/210 - r**6/40 - r**5/60 + 2*r**2 - 9. Let l(k) be the second derivative of z(k). Factor l(f).
f**2*(f - 1)*(f + 1)*(3*f + 1)
Let g(i) be the second derivative of -i**7/360 - 19*i**6/1080 - i**5/45 + i**4/18 + 3*i**3/2 + 2*i. Let b(q) be the second derivative of g(q). Factor b(m).
-(m + 1)*(m + 2)*(7*m - 2)/3
Let m = -48/277 - -2552/1939. Factor 2/7*v**2 - m*v + 0.
2*v*(v - 4)/7
Suppose -2*b - 6*f + 73 = -f, 5*b + 3*f - 173 = 0. Factor 7*p + 4*p + 5*p - b + 2 - 2*p**2.
-2*(p - 4)**2
Let m(j) be the second derivative of 108*j**6/5 - 243*j**5/5 - 99*j**4/2 - 35*j**3/2 - 3*j**2 + 75*j. What is c in m(c) = 0?
-1/6, 2
Let d be (3/12*0)/2. Suppose d*m = -2*m + 8. Solve -4*o**2 + 2*o**2 + 0*o**3 + 5*o + o**3 - m*o = 0 for o.
0, 1
Let s(h) be the second derivative of 0 + 1/32*h**4 + 19*h - 3/160*h**5 + 1/16*h**3 - 3/16*h**2. Find n, given that s(n) = 0.
-1, 1
Let z be (-4)/(-5)*(-860)/(-2408). Factor 0 + z*g**2 + 2/7*g.
2*g*(g + 1)/7
Let l = 43 + 32. Let v be (-3)/(-8)*50/l. Let 1/2*y**2 + 0 + 0*y**4 + 0*y + v*y**5 - 3/4*y**3 = 0. Calculate y.
-2, 0, 1
Let d(o) be the third derivative of 4/3*o**5 - 3/5*o**6 + 0*o + 2/15*o**7 - 1/84*o**8 - 11*o**2 + 0 - 4/3*o**4 + 0*o**3. Find m, given that d(m) = 0.
0, 1, 2
Let i(o) be the second derivative of -11*o + 4/5*o**2 + 0 - 4/15*o**3 + 1/30*o**4. Factor i(r).
2*(r - 2)**2/5
Let c(d) be the third derivative of d**8/10080 - 11*d**7/5040 + d**6/144 - 23*d**5/30 - 15*d**2. Let x(f) be the third derivative of c(f). Solve x(b) = 0 for b.
1/2, 5
Let o(v) be the third derivative of 0*v**6 + 0 + 0*v**3 - 1/90*v**5 + 0*v + 16*v**2 + 1/72*v**4 - 1/1008*v**8 + 1/315*v**7. Factor o(g).
-g*(g - 1)**3*(g + 1)/3
Suppose -12 = -3*n + n. Suppose l = 4*l - n. Factor -2*f - l*f + 14*f**2 + 19*f**4 - 13*f**4 - 16*f**3.
2*f*(f - 1)**2*(3*f - 2)
Let b be 12/135*(55 - 50). Factor 2/9*o**4 - 4/9*o**3 + b*o - 2/9*o**2 + 0.
2*o*(o - 2)*(o - 1)*(o + 1)/9
Let h(s) be the first derivative of -22 + 3*s - 7/4*s**2 + 1/6*s**3. Factor h(b).
(b - 6)*(b - 1)/2
Let u(r) = -r**2 + 7. Let q be u(5). Let f = -8 - q. Factor 4*b - f*b**3 - 6*b**2 - 5 + 5.
-2*b*(b + 1)*(5*b - 2)
Suppose 192/11*v - 2/11*v**3 + 92/11*v**2 + 0 = 0. Calculate v.
-2, 0, 48
Let v(i) = -13500*i**2 + 955*i - 26. Let q(o) = -4500*o**2 + 320*o - 9. Let n(l) = -11*q(l) + 4*v(l). Factor n(w).
-5*(30*w - 1)**2
Let 8*h**3 - 2*h**4 - 15*h - 18 + 7*h + 26 - 6*h**2 = 0. What is h?
-1, 1, 2
Let u = 50 - 48. Determine i, given that 2*i**3 + u*i**3 - i**3 - 3*i**2 - 6*i**2 = 0.
0, 3
Let t(j) be the second derivative of -6 - 1/8*j**3 + 7/24*j**4 - 5*j + 0*j**2 + 1/16*j**5. Suppose t(u) = 0. Calculate u.
-3, 0, 1/5
Let k(m) be the third derivative of -1/60*m**5 - 24*m**2 + 0 - 1/12*m**4 + 0*m + 1/2*m**3. Factor k(g).
-(g - 1)*(g + 3)
Let i(x) be the second derivative of -1/6*x**4 - 5/3*x**3 + 10*x - 6*x**2 + 0. Let i(w) = 0. What is w?
-3, -2
Find y, given that 1074/7*y - 1068/7 - 6/7*y**2 = 0.
1, 178
Let a be (-72)/(-20) - 18/(-45). Let k(w) be the first derivative of 0*w**3 + a*w + 1 - 3*w**2 + 1/2*w**4. Factor k(j).
2*(j - 1)**2*(j + 2)
Let l(w) be the third derivative of -w**2 + 1/42*w**7 - 5/12*w**4 + 1/12*w**6 + 0 + 0*w**5 + 0*w - 5/6*w**3. Factor l(o).
5*(o - 1)*(o + 1)**3
Let i(y) = -4*y**2 - 409*y + 42859. Let z(w) = w**2 - w - 2. Let h(x) = i(x) + 5*z(x). Let h(g) = 0. Calculate g.
207
Factor -2*g**4 + 3*g**4 - 5*g**5 - 5*g**2 + 5*g**3 + 2*g**4 + 0*g**2 + 2*g**4.
-5*g**2*(g - 1)**2*(g + 1)
Determine j, given that -118*j**3 + 42*j**2 + 24 + 104*j - 72*j**4 + 17*j**5 + 6*j**4 - 3*j**5 = 0.
-1, -2/7, 1, 6
Let g(h) = -2*h**3 - 56*h**2 - 52*h + 4. Let z be g(-1). Solve -1/3*o**z - 256/3 + 32/3*o = 0.
16
Let h(n) be the third derivative of -n**5/30 + n**4/12 + 2*n**3 + 3*n**2 - 30. Solve h(p) = 0.
-2, 3
Let c(w) be the first derivative of 16/3*w**2 - 34/9*w**3 - 2*w + 8 + 2/3*w**4. Factor c(q).
2*(q - 3)*(q - 1)*(4*q - 1)/3
Determine y, given that 2/7*y**3 + 4/7*y**2 - 2/7*y - 4/7 = 0.
-2, -1, 1
Factor 1/2*x**4 - 70/3*x + 31/6*x**2 - 50/3 + 13/3*x**3.
(x - 2)*(x + 5)**2*(3*x + 2)/6
Let p(z) = z**2 - 19*z - 18. Let y(l) = 2*l**2 - 20*l - 18. Let d(c) = 5*p(c) - 4*y(c). Determine o so that d(o) = 0.
-3, -2
Suppose 11*b = 6*b - 10. Let n(s) = -8*s**2 - 23*s - 24. Let o(a) = -2*a**2 - 6*a - 6. Let d(t) = b*n(t) + 9*o(t). Factor d(l).
-2*(l + 1)*(l + 3)
Determine i, given that -872*i**3 - 35*i + 40*i**4 + 902*i**3 + 11*i**2 - 51*i**2 + 5*i**5 = 0.
-7, -1, 0, 1
Let w = 103 + -103. Factor -8/15*l**4 - 2/3*l**3 - 2/15*l**5 + 0 + w*l - 4/15*l**2.
-2*l**2*(l + 1)**2*(l + 2)/15
Let y = -29104/7 - -4158. Let 1/7*f + 1/7*f**3 + 0 - y*f**2 = 0. Calculate f.
0, 1
Let l = -26 + 26. Let -8 + 5*b**2 - b**2 + l - 4*b**3 + 4*b**2 + 4*b = 0. What is b?
-1, 1, 2
Let w(y) be the second derivative of -y**7/189 - y**6/135 + y**5/30 + y**4/54 - 2*y**3/27 + 66*y. What is b in w(b) = 0?
-2, -1, 0, 1
Suppose 0 = 69*q - 117 - 90. Let v(a) be the second derivative of 2*a**q + 1/4*a**4 + 9/2*a**2 + 0 + 6*a. Factor v(l).
3*(l + 1)*(l + 3)
Let g = 1470 + -7594/5. Let w = g + 49. Factor -w*y**2 + 2/5*y + 0.
-y*(y - 2)/5
Let w(v) = -3*v**2 + 46*v + 173. Let o(x) = -30*x**2 + 459*x + 1731. Let s(z) = 2*o(z) - 21*w(z). What is p in s(p) = 0?
-3, 19
Let d be 140/50*(7 + -2). Suppose 0 = -2*s - 0*i - i + d, 28 = 4*s + i. Let 0 + 8 + s + 20*f**2 + 0 + 35*f = 0. Calculate f.
-1, -3/4
Find o such that 4/5*o**2 + 16/5*o**3 + 0*o - 4/5*o**4 - 16/5*o**5 + 0 = 0.
-1, -1/4, 0, 1
Let f(z) be the second derivative of -z**7/63 + z**5/15 - z**3/9 - 24*z + 4. Factor f(t).
-2*t*(t - 1)**2*(t + 1)**2/3
Factor 63*p**5 + 2*p**4 + 4*p**3 - 3*p - 2*p**2 - 146*p**5 + 82*p**5.
-p*(p - 3)*(p - 1)*(p + 1)**2
Let z(m) be the third derivative of m**5/96 - m**4/6 + m**3/4 + 125*m**2 - 2*m. Factor z(f).
(f - 6)*(5*f - 2)/8
Let m(g) be the first derivative of -4*g**3/3 - 42*g**2 + 90. Determine v, given that m(v) = 0.
-21, 0
Let m = -511 + 1085. Let h be (-41)/m*12*-1. Factor -2/7 + 10/7*w**2 + 2/7*w + h*w**3.
2*(w + 1)**2*(3*w - 1)/7
Let g(c) = 120*c**2 - 25*c. Let s(b) be the third derivative of b**5/6 - b**4/12 + 10*b**2. Let f(h) = -3*g(h) + 35*s(h). Suppose f(o) = 0. Calculate o.
0, 1/2
Let -14/11*r**2 + 8/11*r**3 + 0 + 2/11*r**4 - 20/11*r = 0. What is r?
-5, -1, 0, 2
Let u(x) be the second derivative of -x**5/20 + 3*x**4/4 + x**3/3 - 5*x**2 + 8*x. Let d be u(9). Factor 4*j - 2*j**3 - 6*j + 4*j**2 - d*j**2.
-2*j*(j + 1)**2
Suppose 4*z = -4*j + 7*z + 17, -5*z - 19 = -2*j. Suppose 4/3*i + 2/3*i**3 + j*i**2 + 0 = 0. What is i?
-2, -1, 0
Let y(r) be the second derivative of -r**4/16 + 3*r**3/8 - 3*r + 19. Determine p so that y(p) = 0.
0, 3
Let q be (-404)/(-80) - ((-15)/5 - -8). Let m(j) be the second derivative of 0*j**2 + 1/30*j**3 + 0 + 11*j - q*j**4. Let m(y) = 0. Calculate y.
0, 1/3
Let l(i) be the second derivative of -i**4/3 + 620*i**3/3 - 48050*i**2 - 5*i + 15. Suppose l(q) = 0. What is q?
1