*q - 1/28*x**7 + 0*x**3 + 0 + 0*x**4 - 3/20*x**5 - 3/20*x**6 + 2*x. Factor n(v).
-3*v**3*(v + 1)*(v + 2)/2
Let v(c) be the first derivative of 3/4*c**2 + 1/4*c**3 + 3/4*c - 14. Factor v(m).
3*(m + 1)**2/4
Let f(j) be the second derivative of 5*j**4/12 + 5*j**3/6 - 15*j**2 - 79*j. Factor f(l).
5*(l - 2)*(l + 3)
Let q(v) = -v**3 - v**2 - v. Let i(k) = -11*k**3 + 35*k**2 - 52*k + 16. Let r(b) = i(b) - 4*q(b). Find s, given that r(s) = 0.
4/7, 1, 4
Let c(w) = -5*w - 30. Let n be c(7). Let q be (-1)/3 - n/78. Suppose 3/2*y**2 + q*y + 1/2*y**4 + 3/2*y**3 + 0 = 0. Calculate y.
-1, 0
Suppose -m + 8*m = 28. Suppose t - 17 = -2*b, m*b - 16 = 3*b - 3*t. Determine r so that 9 - 6 - 5*r**2 - 5*r + b = 0.
-2, 1
Let v(n) = n + 14. Let u be v(-12). Solve -13*j - 84*j**5 + 28*j + 255*j**4 - 255*j**3 + 63*j**u + 12*j**2 - 6 = 0.
-1/4, 2/7, 1
Let o be -5*(4 + (-33)/6 + (-1)/(-1)). Let 0 + o*c**3 + 0*c**2 - 5/2*c = 0. Calculate c.
-1, 0, 1
Let l be 2/6*(-1 + -632). Let c = -211 - l. Solve 0*t + c*t**2 - 1/3*t**4 + 0 - 1/3*t**3 = 0.
-1, 0
Let r(m) = m**3 + m**2 - m. Let f(p) = 6*p**3 + 2*p**2 - 3*p. Suppose 11*a - 60 = 7*a. Let d(o) = a*r(o) - 3*f(o). Find u, given that d(u) = 0.
0, 1, 2
Let u(l) be the first derivative of -12 + 7/12*l**4 + 4/9*l**6 + 14/15*l**5 + 1/9*l**3 + 0*l + 0*l**2. Let u(i) = 0. Calculate i.
-1, -1/2, -1/4, 0
Solve 5 - 2*j**2 + 30*j + 7*j**2 - 4*j**2 - 34 - 2*j**2 = 0.
1, 29
Determine j, given that -2/3*j**2 - 2*j + 176/3 = 0.
-11, 8
Let z(y) be the first derivative of y**6/18 + y**5/15 - 5*y**4/12 - y**3/9 + 4*y**2/3 - 4*y/3 + 76. Factor z(d).
(d - 1)**3*(d + 2)**2/3
Let g(l) be the third derivative of 0*l + 0*l**3 - 3/8*l**4 + 1/20*l**5 + 22*l**2 + 0. Solve g(b) = 0 for b.
0, 3
Factor 138/7 + 2/7*y**2 - 52/7*y.
2*(y - 23)*(y - 3)/7
Let q(j) be the second derivative of -j**8/4032 + j**7/504 - j**5/18 - 3*j**4/4 + 2*j. Let p(k) be the third derivative of q(k). Factor p(x).
-5*(x - 2)**2*(x + 1)/3
Suppose 5*l - 5*u - 20 = 0, -3*u + 2 = -3*l - 7*u. Factor 0*h**2 + 553*h - 547*h + 3*h**l.
3*h*(h + 2)
Let i(o) be the second derivative of -o**5/70 + 4*o**4/21 - 16*o**3/21 + 82*o. Factor i(v).
-2*v*(v - 4)**2/7
Suppose -2*p = -156*t + 154*t + 2, 0 = -2*p + 3*t - 3. Factor 4/3*a**2 + 4/3*a**4 + p*a - 8/3*a**3 + 0.
4*a**2*(a - 1)**2/3
Let i(y) = -2*y**3 + 9*y**2 + 2*y + 3. Let z(x) = x**2 + 2*x + 1. Let r(q) = -q**3 + 3*q**2 - q. Let u be r(3). Let m(o) = u*z(o) + i(o). Factor m(s).
-2*s*(s - 2)*(s - 1)
Let n = 1062 + -1058. Let k(d) be the second derivative of -1/120*d**6 - 1/80*d**5 + 0*d**n + 0 + 0*d**3 - 6*d + 0*d**2. Let k(g) = 0. Calculate g.
-1, 0
Suppose 0 = 79*r + 20 - 415. Factor 1/3*v**4 + 0*v**3 + 0*v + 0 - 1/2*v**r + 0*v**2.
-v**4*(3*v - 2)/6
Suppose 18*d + 23*d = 187 - 105. Factor 30*p - 99/4*p**d - 3/4*p**4 - 12 + 15/2*p**3.
-3*(p - 4)**2*(p - 1)**2/4
Let p(g) = -g**2 - 15*g - 22. Let d = -32 - -19. Let q be p(d). Suppose -16/5*c**2 - 8/5 + q*c + 4/5*c**3 = 0. What is c?
1, 2
Let w = 901 - 1801/2. Let n(a) be the third derivative of 33/32*a**4 + 0*a + 0 - 9/8*a**3 + 1/10*a**6 - 8*a**2 - w*a**5. Factor n(v).
3*(v - 1)*(4*v - 3)**2/4
Factor -92*y**3 + 3*y + 9*y**2 - 3*y**4 + 52*y**3 + 37*y**3 - 6.
-3*(y - 1)**2*(y + 1)*(y + 2)
Factor -17*u**2 - 3*u**3 + 10*u**3 + 36 - 4*u**3 - 2*u**3 + 10*u**2.
(u - 6)*(u - 3)*(u + 2)
Determine t so that -21*t**3 + 12*t**4 - 3*t**5 - 18 + 21*t**3 - 8*t**2 - 34*t**2 + 51*t = 0.
-2, 1, 3
Let g(b) = 296*b + 12140. Let v be g(-41). Factor 9/2*k**3 - 27/2*k**2 + 27/2*k - 1/2*k**v + 0.
-k*(k - 3)**3/2
Suppose -7*i - 4*h = -3*i - 408, 4*h = -3*i + 306. Let z be 14/91 + i/13. Let -6*o - 12*o**3 - 8 + 4*o - 14*o - 2*o**4 - 26*o**2 - z*o = 0. What is o?
-2, -1
Suppose -3*g = 23*g - 3*g. Factor 1/5*s**2 + 1/10*s**4 - 3/10*s**3 + 0 + g*s.
s**2*(s - 2)*(s - 1)/10
Let b(x) = x**2 + 5*x - 7. Let y be b(-6). Let h = 2 - y. Suppose 13*d**h + 5*d**4 + 2*d - 2*d**5 + 7*d**2 + 3*d**5 - 4*d**3 = 0. What is d?
-2, -1, 0
Factor -82415 + 65*u + 48*u**2 - 237*u + 4*u**3 + 82535.
4*(u - 2)*(u - 1)*(u + 15)
Suppose 0 = -4*f - 8, 0 = 2*q - f + 3*f. Let v - 278 + 268 - 5*v**q + 14*v = 0. What is v?
1, 2
Let t = 186 + -184. Let b(s) be the first derivative of 23*s**3 + 5*s**5 + 4*s + 14*s**t + 35/2*s**4 + 1. Factor b(p).
(p + 1)**2*(5*p + 2)**2
Let y(a) be the second derivative of 2/3*a**2 + 10*a - 4/9*a**3 - 1/60*a**5 + 5/36*a**4 + 0. Factor y(n).
-(n - 2)**2*(n - 1)/3
Let n(k) be the first derivative of 1/15*k**6 + 6/25*k**5 + 0*k**2 - 9 + 0*k + 3/10*k**4 + 2/15*k**3. Factor n(z).
2*z**2*(z + 1)**3/5
Let j = -1655 + 1657. Factor 0 + 2/9*q**j + 4/3*q.
2*q*(q + 6)/9
Let n(l) = -2*l**3 + 16*l**2 - 60*l + 6. Let i(a) = -a**3 + 16*a**2 - 58*a + 5. Let b(s) = 6*i(s) - 5*n(s). Factor b(t).
4*t*(t - 2)*(t + 6)
Let j(d) be the second derivative of -1/10*d**6 - 2*d**2 + 0 - 1/42*d**7 + 0*d**3 + 24*d + 1/20*d**5 + 7/12*d**4. Determine u, given that j(u) = 0.
-2, -1, 1
Let h(a) = -a**2 - 22*a - 85. Let f be h(-17). Factor -5/4*d + d**2 + f + 1/4*d**3.
d*(d - 1)*(d + 5)/4
Suppose -2*s = 2*s - 8. Suppose -s*i + 64 = 2*i. Solve 3*a - 2*a**2 + 2 + i*a**3 - 4*a - 15*a**3 = 0.
-1, 1, 2
Find b, given that 0 + 24/7*b**2 - 1/7*b**3 - 23/7*b = 0.
0, 1, 23
Let x(r) = -405*r**2 + 20*r + 19*r + 410*r**2 - 9*r + 75. Let f(q) = q**2. Let y(l) = -2*f(l) + x(l). Factor y(u).
3*(u + 5)**2
Let r be 7 + -2 + (1 - 2). Suppose -2*b - r = -16. Factor 189*c**5 - 186*c**5 + 18*c**3 - 12*c**4 - b*c**2 - 3*c**3.
3*c**2*(c - 2)*(c - 1)**2
Suppose 0 = z + z - 6. Suppose z*l + 0*u - 5*u = 14, -5*l + 3*u = -18. Find f such that 6*f**3 - 6 + l*f**4 + 2*f**5 - 5*f**5 + 12*f**2 - 3*f - 9*f**4 = 0.
-2, -1, 1
Let c(y) be the second derivative of -y**4/12 - 53*y**3/3 + 107*y**2/2 - 206*y - 2. What is o in c(o) = 0?
-107, 1
Let t = 13 + -15. Let a be 3 - t/(-2) - 0. Factor -3*k**2 + 2 - k + k**2 + 4*k**a - 3*k**2.
-(k - 1)*(k + 2)
Let t(z) = -44*z - 48. Let m be t(-5). Suppose 212*c**2 + 12*c + 11*c**3 - m*c**2 + c**3 = 0. What is c?
-3, -1/3, 0
Let x(j) be the third derivative of -j**6/480 + j**5/60 + 19*j**4/96 + 7*j**3/12 - 260*j**2. Factor x(y).
-(y - 7)*(y + 1)*(y + 2)/4
Let q(d) be the first derivative of -45*d**4/4 - 85*d**3/3 - 35*d**2/2 + 5*d + 51. Determine l so that q(l) = 0.
-1, 1/9
Let x(z) be the first derivative of -2*z**3/3 - 274*z**2 - 37538*z - 717. Factor x(q).
-2*(q + 137)**2
Let c(y) be the third derivative of y**5/180 + y**4/24 - 2*y**3/9 - 147*y**2. Factor c(f).
(f - 1)*(f + 4)/3
Let h = -21/3119 + -6595163/689299. Let j = 168/17 + h. Let -2/13*i**4 + 2/13 + j*i + 0*i**2 - 4/13*i**3 = 0. Calculate i.
-1, 1
Let c(x) = 4*x**3 + 3*x**2 - 3. Let r(v) = v**3 - 1. Suppose 6*m = 2*m + 8. Let i(l) = m*c(l) - 4*r(l). Solve i(t) = 0 for t.
-1, 1/2
Let i(s) = s**3 - s**2 + 1. Let n(p) = -16*p**3 + 10*p**2 - 2*p - 14. Let x(r) = -2*r - 20. Let o be x(-9). Let w(d) = o*n(d) - 28*i(d). What is b in w(b) = 0?
-1, 0
Let c be 3/((-6)/(-8)*2). Let b = 579273/11 + -52661. What is y in -16/11*y + b*y**c + 32/11 = 0?
4
Factor 288/5 + 10*x**2 + 336/5*x + 2/5*x**3.
2*(x + 1)*(x + 12)**2/5
Factor -25*k**4 - 448*k - 125/4*k**5 - 512 + 232*k**2 + 235*k**3.
-(k - 2)**2*(5*k + 8)**3/4
Let y = -137 + 141. Let v be (-3)/(-2) + -6 + 26/y. Suppose 6/7*t**3 + 0 + 0*t + 0*t**v + 3/7*t**4 - 3/7*t**5 = 0. Calculate t.
-1, 0, 2
Let h(i) be the second derivative of i**5/20 - i**4/8 - 25*i**2 - 9*i. Let d(a) be the first derivative of h(a). Factor d(k).
3*k*(k - 1)
Let z(n) be the third derivative of n**9/3528 - n**8/3920 + n**3/2 - 9*n**2. Let l(f) be the first derivative of z(f). Factor l(o).
3*o**4*(2*o - 1)/7
Factor -119*w + 92*w - 22 + 0*w**2 - 4 - w**2.
-(w + 1)*(w + 26)
Let r(q) be the second derivative of -q**5/26 - q**4/39 + 5*q**3/39 + 2*q**2/13 - 73*q - 1. Let r(n) = 0. Calculate n.
-1, -2/5, 1
Let g be (4/(-34) + 2100/510)/((-6)/(-2)). Factor -2*q + g + 2/3*q**2.
2*(q - 2)*(q - 1)/3
Let c(x) be the second derivative of 0 - 8/7*x**2 - 1/21*x**4 + 6*x + 8/21*x**3. What is p in c(p) = 0?
2
Factor 88/17 + 2/17*u**2 + 48/17*u.
2*(u + 2)*(u + 22)/17
Let 3/2*b**2 - 1/2*b**4 + 0 - b + 0*b**3 = 0. Calculate b.
-2, 0, 1
Find f such that 1/10*f**2 - 2/5*f + 3/10 = 0.
1, 3
Let t(j) = -8 - 15 - 6 + 0 + 3*j. Let b be t(11). Factor 2*z**3 - 1/2*z**b - 3/2*z**2 + 2 - 2*z.
-(z - 2)**2*(z - 1)*(