25*w + 24*w + 46*w. Let m(i) = -35*c(i) - 6*f(i). Factor m(v).
5*v*(v - 1)*(v + 1)*(v + 2)
Let x = -397 - -595. Let t = x - 198. Factor 2/9*p**2 + 2/9*p**3 - 2/9*p**4 - 2/9*p**5 + 0 + t*p.
-2*p**2*(p - 1)*(p + 1)**2/9
Let z(s) = 3*s**2 - 12*s + 15. Let m(f) = -4*f + 25. Let w be m(10). Let q(g) = g - 1. Let c(n) = w*q(n) - z(n). Factor c(y).
-3*y*(y + 1)
Suppose 0 = 5*k - 2*d - 20, -k + 0 = 2*d + 8. Suppose -z + 8*f - 3*f + k = 0, -4*z = -4*f - 8. What is a in -4*a**z - 9/4 + 6*a = 0?
3/4
Find v, given that -2/11*v**3 + 0*v + 2/11*v**4 + 0 + 0*v**2 = 0.
0, 1
Let t(j) be the first derivative of -j**5/80 - j**4/8 - j**3/2 - 15*j**2 - 20. Let f(l) be the second derivative of t(l). Factor f(n).
-3*(n + 2)**2/4
Let l(c) be the third derivative of c**8/336 + c**7/42 + c**6/60 - 2*c**5/15 + 2*c**2 - 4. Factor l(w).
w**2*(w - 1)*(w + 2)*(w + 4)
Let k(m) = -574*m - 5 + 286*m + 7*m**2 + 280*m. Let r(a) = 6*a**2 - 7*a - 4. Let i = 0 - 6. Let d(o) = i*r(o) + 5*k(o). Factor d(n).
-(n - 1)**2
Let s(q) be the third derivative of -q**8/840 + q**7/140 - q**5/15 - 5*q**3/2 + 16*q**2. Let b(r) be the first derivative of s(r). Factor b(w).
-2*w*(w - 2)**2*(w + 1)
Let o(c) = c**3 - c**2 - c + 1. Let n(h) = -20*h**3 + 64*h**2 - 32*h + 16. Suppose 0 = -3*u + 8 - 5. Let b(d) = u*n(d) - 16*o(d). Factor b(m).
-4*m*(m - 2)*(9*m - 2)
Let a be (1150/(-5865))/(10/(-12)). Suppose -2*o = 3*o. Solve 0 + a*n**3 + 2/17*n**4 + 2/17*n**2 + o*n = 0 for n.
-1, 0
Let f(q) = -q**3 + 4*q**2 + 6*q - 3. Let u be f(5). Factor 23*m**u - 8*m - 88 - 32*m - 28*m**2 + 8.
-5*(m + 4)**2
Factor 2/9*o**5 + 0*o + 0 - 2/9*o**2 + 2/3*o**3 - 2/3*o**4.
2*o**2*(o - 1)**3/9
Let -81/2*d + 1/4*d**2 - 163/4 = 0. What is d?
-1, 163
Let q(g) = -7*g**5 + 5*g**4 + 2*g**3 - 6*g**2 - 6*g. Let x(z) = z**5 - z**4 + z**2 + z. Let i(c) = -q(c) - 6*x(c). Factor i(d).
d**3*(d - 1)*(d + 2)
Let l(q) be the second derivative of q**7/735 - q**6/420 - q**5/105 + 4*q**2 + 40*q. Let p(a) be the first derivative of l(a). Factor p(j).
2*j**2*(j - 2)*(j + 1)/7
Suppose 539*z - 540*z = 0. Find y such that -1/7 + z*y + 1/7*y**2 = 0.
-1, 1
Suppose -3*n = 2*n - 20. Let a(s) be the third derivative of 0 - 3/50*s**5 + 0*s + 3*s**2 - 1/15*s**3 + 1/10*s**n + 1/75*s**6. Factor a(l).
2*(l - 1)**2*(4*l - 1)/5
Factor -54*v**2 - 3*v**3 - 75*v - 39*v - 58 - 2*v**3 + 7*v**3.
2*(v - 29)*(v + 1)**2
Let g be -14 + ((-10856)/(-32))/23. Factor -3/2*h + g*h**2 + 0.
3*h*(h - 2)/4
Let y(k) be the third derivative of 1/224*k**8 + 3/70*k**7 + 0*k**3 + 0 + 13/80*k**6 + 1/4*k**4 + 0*k + 3/10*k**5 - 8*k**2. Determine g, given that y(g) = 0.
-2, -1, 0
Let b(m) be the third derivative of -2*m**7/315 + m**6/180 + m**5/18 + m**4/18 + 5*m**2 - 2*m. Solve b(r) = 0 for r.
-1, -1/2, 0, 2
Let m be (4/1872*24)/((-2)/114*-1). Find k such that 10/13 - 2/13*k**5 + 28/13*k**3 + 4*k**2 + m*k + 2/13*k**4 = 0.
-1, 5
Let s(v) be the third derivative of 0*v - 1/240*v**6 + 0 + 0*v**3 - 1/60*v**5 + 1/672*v**8 + 1/210*v**7 - 7*v**2 + 0*v**4. Factor s(p).
p**2*(p - 1)*(p + 1)*(p + 2)/2
Let p(h) be the third derivative of h**6/60 - h**4/4 - 2*h**3/3 + 41*h**2. Determine y so that p(y) = 0.
-1, 2
Suppose 0 = 5*g + 5, -4*h - 11 = 4*g - 27. Suppose h*p = -5 + 30. Suppose 0 + 2/9*f**p - 10/9*f**4 + 2*f**3 + 4/9*f - 14/9*f**2 = 0. Calculate f.
0, 1, 2
Let i = 2223 + -2223. Factor -5*o**3 + i*o**2 + 5*o - 5/2*o**4 + 5/2.
-5*(o - 1)*(o + 1)**3/2
Let d(o) be the first derivative of 3*o**5/25 - 21*o**4/20 - 27*o**3/5 - 87*o**2/10 - 6*o - 684. Suppose d(x) = 0. Calculate x.
-1, 10
Let l(p) = p**4 + p**3 + p**2 + p - 1. Let g(x) = -2*x**4 - 16*x**3 + 22*x**2 - 28*x + 12. Let m = -43 + 44. Let r(s) = m*g(s) + 4*l(s). Factor r(o).
2*(o - 2)**2*(o - 1)**2
Let q = 0 + 21. Suppose -5*n = -5*v - 0*n, 5*v + 2*n - q = 0. Solve 2 + v*f**2 - f + f**2 - 5*f**2 = 0 for f.
-2, 1
Factor 30603/7 + 606/7*y + 3/7*y**2.
3*(y + 101)**2/7
Let j(n) = -3*n**2 - 27*n - 24. Let a(p) = 3*p**2 + 26*p + 23. Let s(i) = -3*a(i) - 4*j(i). Factor s(f).
3*(f + 1)*(f + 9)
Let i(t) be the first derivative of -37/18*t**4 - 1/5*t**6 - 20/9*t**3 - 1 + 2*t - t**5 - 4/3*t**2. Let p(c) be the first derivative of i(c). Factor p(y).
-2*(y + 1)**2*(3*y + 2)**2/3
Let j(b) be the third derivative of 1/120*b**5 - 12*b**2 + 1/6*b**3 + 0 - 1/16*b**4 + 0*b. Factor j(l).
(l - 2)*(l - 1)/2
Let w(n) = -n - 3. Let v(p) = p**2 - 8*p + 37. Let x(c) = -v(c) - 5*w(c). Factor x(q).
-(q - 11)*(q - 2)
Let j(d) = -11*d**3 + 26*d**2 - 23*d - 30. Let c(v) = 12*v**3 - 27*v**2 + 26*v + 30. Let s(y) = 6*c(y) + 7*j(y). Factor s(i).
-5*(i - 3)*(i - 2)*(i + 1)
Let 2/3*r + 4/9*r**4 + 0 - 8/9*r**3 + 2/9*r**5 - 4/9*r**2 = 0. What is r?
-3, -1, 0, 1
Suppose k - 4*k = -270. Let 37*i + 123*i**2 + 5 + 27*i + 23*i**2 + k*i**3 + 3 = 0. Calculate i.
-1, -2/5, -2/9
Let v(t) = t + 8. Let r be v(-4). Suppose -13*o**2 + 5*o + o**2 - r*o**2 + o**2 = 0. What is o?
0, 1/3
Let d(q) be the second derivative of -q**7/252 + q**6/180 + q**5/20 + q**4/36 - 5*q**3/36 - q**2/4 + 2*q + 2. Solve d(a) = 0.
-1, 1, 3
Let k(a) be the third derivative of -a**8/588 + a**6/70 + 2*a**5/105 - 133*a**2. Let k(c) = 0. Calculate c.
-1, 0, 2
Let f(o) = -2*o + 26. Let i be f(12). What is n in 27 - 27 + i*n**2 - 5*n**2 + 3*n = 0?
0, 1
Let s(j) be the third derivative of 1/270*j**5 - 1/54*j**3 + 0 - 5*j**2 + 0*j**6 - 1/1890*j**7 + 0*j**4 + 0*j. Factor s(y).
-(y - 1)**2*(y + 1)**2/9
Let h(z) be the first derivative of -z**4/6 - 26*z**3/9 - 16*z**2 - 24*z - 71. Suppose h(q) = 0. What is q?
-6, -1
Let h = -3/23 - -35/92. Let i(j) = -4*j**2 + 68*j. Let r be i(17). Factor -1/4*m + r*m**2 + 0 + h*m**3.
m*(m - 1)*(m + 1)/4
Let i(u) be the second derivative of -8*u**6/225 + u**5/150 + 16*u**4/45 - 4*u**3/45 + 379*u + 2. Suppose i(a) = 0. What is a?
-2, 0, 1/8, 2
Suppose 5*q - 9*q = -32. Suppose q = 2*j + 2. Factor -6*b**2 - b**5 + b**4 - j*b**4 + 8*b**2 + b**3.
-b**2*(b - 1)*(b + 1)*(b + 2)
Let b(j) be the first derivative of j**6/18 - j**5/3 - 2*j**4/3 + 4*j**3/3 + 521. Factor b(h).
h**2*(h - 6)*(h - 1)*(h + 2)/3
Let c be ((-27)/(-18))/((-3)/(-2)). Let n = c + 3. Find g, given that -5*g + 2 - g**5 + 2*g + n*g**3 + 2*g**2 - 4 = 0.
-1, 1, 2
Suppose -12*a + 4*a = 10*a - 54. Let 0*u**2 + 0*u + 0 - 4/9*u**a = 0. Calculate u.
0
Let h(u) be the third derivative of -u**7/1050 + 21*u**6/100 - 4093*u**5/300 + 651*u**4/10 - 1922*u**3/15 - 426*u**2. Factor h(o).
-(o - 62)**2*(o - 1)**2/5
Let g be 0/((-96)/(-8) + -9). Let g*l**3 + 0*l - 2/5*l**2 + 2/5*l**4 + 0 = 0. What is l?
-1, 0, 1
Let v(w) be the third derivative of -w**5/30 + 3*w**4/4 - 14*w**3/3 - 2*w**2 + 5. What is t in v(t) = 0?
2, 7
Solve -16 - 32*x + 20*x**3 + 16 - 16 + 28*x**2 = 0.
-2, -2/5, 1
Suppose 6*k + 20 = 26. Let w be (54/189)/(k/7). Factor 2/5 + r**w + 7/5*r.
(r + 1)*(5*r + 2)/5
Let a(s) be the first derivative of 2*s**3/45 - 8*s/15 - 23. Solve a(g) = 0.
-2, 2
Let i(x) = 3*x**4 - 73*x**3 + 24*x**2 + 82*x - 91. Let b(n) = n**4 - 19*n**3 + 6*n**2 + 20*n - 23. Let l(w) = 22*b(w) - 6*i(w). Factor l(j).
4*(j - 1)**2*(j + 2)*(j + 5)
Let x(n) be the first derivative of -n**6/6 + 12*n**5 - 1065*n**4/4 + 5030*n**3/3 - 4590*n**2 + 5832*n - 292. Solve x(o) = 0 for o.
2, 27
Let r(g) be the first derivative of 2*g**5/75 - g**4/15 - 8*g**3/45 + 8*g**2/15 - 189. Find z such that r(z) = 0.
-2, 0, 2
Let m(d) be the second derivative of -d**5/4 - 415*d**4/12 - 815*d**3/6 - 405*d**2/2 - 579*d. Factor m(c).
-5*(c + 1)**2*(c + 81)
Let w(t) be the first derivative of -t**4/3 - 128*t**3/9 + 280*t**2/3 - 192*t - 74. Determine q so that w(q) = 0.
-36, 2
Let c(i) = 10*i**2 - 28*i + 96. Let q(p) = -29*p**2 + 86*p - 288. Let j(a) = -17*c(a) - 6*q(a). Factor j(s).
4*(s - 6)*(s - 4)
Let j = -252 - -1513/6. Let g(s) be the second derivative of -1/15*s**6 - s + 1/10*s**5 + 0*s**3 + 0*s**2 + 0 + j*s**4 - 1/21*s**7. Factor g(q).
-2*q**2*(q - 1)*(q + 1)**2
Let f(o) = -5*o**2 - 2*o + 6. Let t(y) = -4*y**2 + 6. Let x(m) = 2*f(m) - 3*t(m). What is n in x(n) = 0?
-1, 3
Let u(f) be the third derivative of -f**8/50400 - f**7/4200 - f**6/900 - 7*f**5/60 - 14*f**2. Let d(a) be the third derivative of u(a). Factor d(z).
-2*(z + 1)*(z + 2)/5
Suppose -u = -5*u - 8. Let w(x) = -4*x + 7*x**2 + 1 + 6*x - 4*x**2 - 3. Let k(i) = -3*i**2 - i + 2. Let h(z) = u*w(z) - 3*k(z). Factor h(a).
(a - 1)*(