(-8 + 1 - -11). Suppose -v = -5 - 7. Factor -3*a**2 + 4*a - b*a - 7*a - 7*a - v.
-3*(a + 2)**2
Suppose 0 = -13*b - 4*b + 68. Let g(u) be the first derivative of b*u + 19/5*u**3 - 9/20*u**4 - 4 - 32/5*u**2. Factor g(l).
-(l - 5)*(3*l - 2)**2/5
Determine q so that -15 + 16*q + 177/4*q**2 - 15/4*q**5 - 93/4*q**3 - 161/4*q**4 = 0.
-10, -1, 3/5, 2/3
Suppose -29 - 11 = -4*c. Suppose -w**5 + 5*w**4 - 4*w + c*w**2 + 9*w - 15*w**4 - 4*w**5 = 0. Calculate w.
-1, 0, 1
Let r(w) be the first derivative of 10 + 4*w**3 + 0*w + 28/5*w**5 - 4*w**2 + 12*w**4. Let r(o) = 0. What is o?
-1, 0, 2/7
Let r(k) = -2*k**2 - 19*k + 9. Suppose 12 = -3*t - 0. Let x(s) = s**2 + 6*s - 3. Let u(v) = t*r(v) - 11*x(v). Factor u(d).
-(d - 3)*(3*d - 1)
Let -486/13*r + 1260/13*r**2 - 2000/13*r**4 + 54/13 - 200/13*r**3 = 0. What is r?
-1, 3/10
Determine q, given that -q**3 + 6/7*q**4 - 1/7*q**5 - 6/7*q**2 + 0 + 8/7*q = 0.
-1, 0, 1, 2, 4
Suppose 3*w = -2 - 1. Let n(l) = -20*l + 25. Let o(q) = q**2. Let h(u) = w*n(u) + 5*o(u). Factor h(f).
5*(f - 1)*(f + 5)
Let v(a) be the first derivative of 9 + 26*a**2 + 4/5*a**5 - 24*a - 28/3*a**3 - a**4. Factor v(x).
4*(x - 2)*(x - 1)**2*(x + 3)
Let a be 5*1 - (-156)/(-52). Let h(s) be the first derivative of -2/5*s**a - 7 + 0*s + 2/15*s**3. Solve h(v) = 0 for v.
0, 2
Let c(u) = u**3 + 17*u**2 - 8*u + 8. Let n(q) = -3 + 3*q**2 + 3*q + q**2 - 10*q**2. Let j(z) = -3*c(z) - 8*n(z). Determine m, given that j(m) = 0.
-1, 0
Suppose -28 = -2*v - 5*v. Suppose -2*t + 8 = 2*p, 2*t + t - 14 = -v*p. Suppose 3/2*u**3 - 7/6*u**5 - 5/6*u**t - 1/3*u + 0 + 5/6*u**4 = 0. What is u?
-1, -2/7, 0, 1
Let z = -2 - 4. Let y(p) = 6*p**3 - 4*p**2 - 5*p - 5. Let b(w) = 7*w**3 - 5*w**2 - 6*w - 6. Let n(v) = z*y(v) + 5*b(v). Let n(t) = 0. Calculate t.
-1, 0
Let q(n) = -n**2 + 28*n + 7. Let d(m) = 3*m**2 - 111*m - 27. Let f(u) = 4*d(u) + 15*q(u). Let x(c) = c - 1. Let z(v) = f(v) + 9*x(v). Find l such that z(l) = 0.
-4, -1
Let o(r) = -r**3 - 25*r**2 - 80*r + 84. Let a be o(-21). Factor 0 - 3/2*p**4 + 0*p**2 + 3/2*p**5 + a*p**3 + 0*p.
3*p**4*(p - 1)/2
Let p(i) be the first derivative of -7*i**5 + 10*i**4 + 10*i**3 - 20*i**2 + 5*i - 64. Determine o, given that p(o) = 0.
-1, 1/7, 1
Let w be (-2)/(-4)*2*-7. Let m(o) = 2*o**2 + 14*o. Let k be m(w). Solve -9/7*f**3 + k*f - 3/7*f**4 + 0 - 6/7*f**2 = 0 for f.
-2, -1, 0
Let u = 516 + -514. Let c(v) be the third derivative of 0*v - v**u + 1/30*v**5 + 0 - 1/90*v**6 + 1/18*v**4 + 0*v**3 - 1/105*v**7. Suppose c(b) = 0. Calculate b.
-1, -2/3, 0, 1
Let k be (-6)/21 - 16/(-7). Suppose -w + 8 = w. Let 4*l**w - 4*l**3 - 14*l - 20*l**k - 4 + 7*l**2 + 2*l**5 - 3*l**2 = 0. Calculate l.
-1, 2
Let g(c) = -4*c - 5. Let k = -10 + 8. Let s be g(k). Determine y so that 4*y + 2*y**s + 4*y**3 - 5*y**3 - 5*y = 0.
-1, 0, 1
Suppose 4*b = 3*u - 7, 5*b = 9*b - u - 3. Let j(f) be the first derivative of -5 - 1/2*f + 1/2*f**b - 1/6*f**3. Factor j(i).
-(i - 1)**2/2
Suppose -160*r**3 - 27*r**2 + 58*r**2 - 27*r**2 + 7*r - 20*r**2 + 15*r + 4 = 0. What is r?
-1/4, 2/5
Factor -48/7*o + 2/7*o**3 + 0 + 10/7*o**2.
2*o*(o - 3)*(o + 8)/7
Let y = 571/5 + -114. Suppose 1/5*p**2 + 0 + 1/5*p**3 - y*p - 1/5*p**4 = 0. Calculate p.
-1, 0, 1
Factor 14*d**2 - 78*d**2 - 287*d**3 + 8*d**4 + 267*d**3 - 36*d.
4*d*(d + 1)**2*(2*d - 9)
Let g be 8/6*(3 + 114/(-252)). Let f = g + -28/9. Factor f*y**2 + 0 + 4/7*y - 2/7*y**3.
-2*y*(y - 2)*(y + 1)/7
Let q(r) be the first derivative of -3*r**5/40 + 9*r**4/32 + r**3/4 - 9*r**2/4 + 3*r + 677. Let q(j) = 0. What is j?
-2, 1, 2
Let n(u) be the second derivative of 0*u**3 + 0*u**4 + 0 + 1/441*u**7 - 1/105*u**5 - 3*u + 0*u**2 + 1/315*u**6. Factor n(a).
2*a**3*(a - 1)*(a + 2)/21
Suppose 7 = -4*j + 19. Let h = 22 - 20. Factor -11*p**3 + 2*p**j + 5*p**2 - 2*p**h.
-3*p**2*(3*p - 1)
Suppose -2*v = -4 - 4. Let k be (v/1 - (3 + 0)) + 3. Suppose 27/4*h**2 + 0 + 27/4*h + 1/4*h**k + 9/4*h**3 = 0. Calculate h.
-3, 0
Let b(a) be the third derivative of 5*a**8/336 - a**7/7 + 3*a**6/8 - a**5/3 - 52*a**2. Factor b(d).
5*d**2*(d - 4)*(d - 1)**2
Let x(h) = -25*h**2 + 128*h - 103. Let w(c) = 6*c**2 - 32*c + 26. Let a(g) = 9*w(g) + 2*x(g). Factor a(d).
4*(d - 7)*(d - 1)
Let j = 120 + -57. Let k be j/(-15) + 4 - (-13)/15. Let -1/6*w**2 + 0 + k*w = 0. Calculate w.
0, 4
Suppose 10*r - 12*r + 4 = 0. Let x be 2/8 - 876/(-16). Factor -r*c**2 + 2 - 56*c**3 - 2 + x*c**3 - c.
-c*(c + 1)**2
Let b = 169/7 - 10133/420. Let l(f) be the third derivative of 0 + 1/10*f**5 + 7*f**2 + 0*f**3 + 0*f - b*f**6 - 1/6*f**4. Solve l(z) = 0.
0, 1, 2
Suppose 0 = -145*y - 122 + 557. Determine m, given that 2/13 + 4/13*m**y - 2/13*m**4 - 4/13*m + 0*m**2 = 0.
-1, 1
Solve -82*i + 11767 + 1/7*i**2 = 0.
287
Let w(v) = 6*v**2 + 4. Let s be w(-7). Factor -48*p**2 - 302*p**4 + 24*p**3 - 12 + s*p**4 + 21*p + 19*p.
-4*(p - 3)*(p - 1)**3
Let k(t) be the first derivative of t**4/30 - 22*t**3/15 - 109. Suppose k(i) = 0. Calculate i.
0, 33
Let p(i) = 6*i**3 + 4*i**2 - 5*i + 7. Let t(a) = -a**3 + 2*a - 1. Let f(g) = -p(g) - 5*t(g). Factor f(r).
-(r + 1)**2*(r + 2)
Let c(m) be the second derivative of m**6/120 - m**5/60 - m**4/12 - 41*m**2/2 - 23*m. Let h(u) be the first derivative of c(u). Suppose h(x) = 0. Calculate x.
-1, 0, 2
Let w(f) be the third derivative of f**5/30 + f**4/6 - 8*f**3/3 - 20*f**2. Factor w(s).
2*(s - 2)*(s + 4)
Suppose 4*x = 7 + 1. Let l(m) = -m**2 + 3*m**2 + m - 1 - m**x. Let q(y) = 3*y**2 + 9*y + 7. Let n(j) = -l(j) + q(j). Factor n(b).
2*(b + 2)**2
Suppose 21/4*w**5 - 1959/4*w**3 + 969/2*w - 108 - 1053/4*w**2 + 1485/4*w**4 = 0. Calculate w.
-72, -1, 2/7, 1
Let h = 683/75 - 447/50. Factor -7/6*v - h*v**2 + 0.
-v*(v + 7)/6
Solve 6/5*l - 3/5*l**2 + 8/5 - 1/5*l**3 = 0 for l.
-4, -1, 2
Let l(v) be the third derivative of -1/4*v**4 + 1/30*v**5 + 0*v + 19*v**2 + 0 + 0*v**3 - 1/105*v**7 + 1/20*v**6. Find i such that l(i) = 0.
-1, 0, 1, 3
Let x(d) be the third derivative of 8/33*d**3 + 0 - 1/22*d**4 - 25*d**2 + 1/220*d**6 + 0*d - 1/30*d**5. Find n, given that x(n) = 0.
-1, 2/3, 4
Let n be 18 + 121255/(-6600) - 6/(-16). Let d(f) be the third derivative of 0*f + 0*f**3 + 0 + 1/132*f**4 + 10*f**2 - n*f**5. Solve d(w) = 0 for w.
0, 1
Suppose -195 + 294 = 149*n - 497. Factor -4/7*j**n + 4/7*j**3 + 0*j - 4/7*j**5 + 0 + 4/7*j**2.
-4*j**2*(j - 1)*(j + 1)**2/7
Suppose -75 = -26*v + 21*v. Let f = v - 103/7. Factor f*n**3 + 0*n + 0 - 4/7*n**2.
2*n**2*(n - 2)/7
Let t(b) = -398*b + 5174. Let x be t(13). Factor 2*r - 14*r**2 + x + 49/2*r**3.
r*(7*r - 2)**2/2
Let n(p) be the second derivative of p**4/15 + 4*p**3/15 - 16*p**2/5 - 2*p + 121. Factor n(x).
4*(x - 2)*(x + 4)/5
Let x(g) = -g**3 + 18*g**2 + 19*g + 3. Let b be x(19). Factor 10*v + 0*v**2 + 15*v**2 - 34*v**b + 34*v**3 - 5*v**4.
-5*v*(v - 2)*(v + 1)**2
Factor -46*g - 46*g - 12 - 3*g**2 + 107*g.
-3*(g - 4)*(g - 1)
Let r = -196 - -785/4. Suppose 4 = -d + 2*d. Factor -1/4*u**5 + 0*u + 0*u**3 + r*u**d + 0*u**2 + 0.
-u**4*(u - 1)/4
Let n(l) = -6*l**3 - 174*l**2 - 342*l - 170. Let p(h) = 5*h**3 + 174*h**2 + 342*h + 170. Let b(m) = 3*n(m) + 4*p(m). Factor b(y).
2*(y + 1)**2*(y + 85)
Determine o, given that -20*o**3 + 20*o - 12*o**2 + 498*o**4 - 502*o**4 + 16 + 0*o**3 = 0.
-4, -1, 1
Let o(s) be the third derivative of 12*s**2 - 13/15*s**5 - 2*s**4 - 2/105*s**7 - 8/3*s**3 + 0 - 1/5*s**6 + 0*s. Factor o(m).
-4*(m + 1)**2*(m + 2)**2
Suppose -4*u - 5*i - 9 + 21 = 0, u + 5*i = 3. Let c(r) be the first derivative of -2/3*r**u + 0*r + 1/2*r**2 + 5 + 1/4*r**4. Factor c(z).
z*(z - 1)**2
Suppose -8 = -d - 3. Solve 5*f - d + 3 + 3 - 3*f + f**2 = 0.
-1
Let c(f) be the third derivative of -1/70*f**7 + 15*f**2 - 1/2*f**3 + 1/10*f**6 + 0*f + 1/2*f**4 - 3/10*f**5 + 0. Factor c(z).
-3*(z - 1)**4
Let -45*m**4 + 137 + 100*m**3 - 137 + 115*m**2 - 30*m = 0. What is m?
-1, 0, 2/9, 3
Let t(y) = -18*y**5 - 93*y**4 + 195*y**3 - 114*y**2. Let v(x) = 28*x**5 + 140*x**4 - 292*x**3 + 172*x**2. Let c(s) = -8*t(s) - 5*v(s). Factor c(u).
4*u**2*(u - 1)**2*(u + 13)
Let o be 4/120 - (6 + (-4 - 2)). Let b(w) be the third derivative of -o*w**5 - 5*w**2 + 0*w**4 + 0 + 0*w + 1/3*w**3. Determine i so that b(i) = 0.
-1, 1
Let a(w) = -w**2 + 5*w + 7. Let q be a(8). Let b = q - -20. Factor -16*m**2 - 8*m**2 - 12*m**3 + 3*m**2 - 6*m + b.
-3*(m + 1)**2*(4*m - 1)
Factor 114*j - 40 + 16 - 3*j**2 + 8