+ 12*f**2 + v*f + 109 - 140*f = 0. Calculate f.
-2/3, 11
Let q(r) be the first derivative of 3/20*r**5 + 0*r**4 + 0*r + 30 + 3/4*r**2 - 3/4*r**3. Let q(n) = 0. Calculate n.
-2, 0, 1
Let b(q) be the second derivative of 27*q**4 + 48*q**3 + 32*q**2 - 2*q + 7. What is l in b(l) = 0?
-4/9
Let l be 10/45*-5*(-132)/5. Let o = -29 + l. Determine b, given that 0*b - 1/3*b**2 + o = 0.
-1, 1
Let b(z) = z**2 - 21*z - 18. Let q be b(22). Let g(j) be the second derivative of -2*j - 1/6*j**3 + 1/24*j**q + 0 + 0*j**2. Suppose g(w) = 0. What is w?
0, 2
Let c(b) be the first derivative of 4*b**3/15 - 46*b**2/5 - 40*b - 553. Find o such that c(o) = 0.
-2, 25
Let t(c) be the second derivative of c**7/945 - c**6/108 + 4*c**5/135 - c**4/27 - 21*c**2/2 + 13*c. Let a(r) be the first derivative of t(r). Factor a(d).
2*d*(d - 2)**2*(d - 1)/9
Suppose 78*y = 574 - 574. Suppose -1/5*c**4 - 1/5 + 0*c + 2/5*c**2 + y*c**3 = 0. What is c?
-1, 1
Suppose -7 = -3*r + 5. Solve 10*h**2 - 9*h**2 - h**5 + h**3 + 11*h**r + 0*h**3 - 12*h**4 = 0.
-1, 0, 1
Let j(c) = c**4 - c**3 + 4*c**2 + c - 5. Let u = -60 + 55. Let p(z) = -z**4 - 3*z**2 - 2*z + 6. Let n(s) = u*p(s) - 6*j(s). Let n(y) = 0. Calculate y.
0, 1, 4
Let a(n) be the first derivative of -n**3/2 + 189*n**2/4 + 533. Determine c, given that a(c) = 0.
0, 63
Let i(y) = -10*y**3 - 95*y + 5. Let m(x) = 3*x**3 + 47*x - 2. Let r(t) = -2*i(t) - 5*m(t). Factor r(s).
5*s*(s - 3)*(s + 3)
Let f = -161 - -147. Let g be (15/f)/(6/(-8)). Factor -8/7 + 16/7*s - g*s**2 + 2/7*s**3.
2*(s - 2)**2*(s - 1)/7
Let v = 1586 + -1586. Let b(d) be the second derivative of -1/130*d**5 + 1/39*d**3 + v + 0*d**4 - 3*d + 0*d**2. Factor b(k).
-2*k*(k - 1)*(k + 1)/13
Let m(f) = -f**3 - f**2 + 3. Let n(w) = 2*w**4 + 4*w**3 - 2*w**2 - 6. Let b(z) = -2*m(z) - n(z). Factor b(t).
-2*t**2*(t - 1)*(t + 2)
Factor 0*c + 20/3*c**3 - 58/3*c**2 + 0.
2*c**2*(10*c - 29)/3
Let a = -1001 + 1003. Suppose 2/5 - 1/5*v**3 + 3/5*v + 0*v**a = 0. What is v?
-1, 2
Suppose 0 = -4*p - 5*u - 9, 5*p - 15*u + 16*u = 15. Let y(c) be the first derivative of -p*c**2 + 2 + 8*c + 2/3*c**3. Factor y(l).
2*(l - 2)**2
Determine c, given that -2/7*c**3 - 2/7*c**2 + 2/7*c**5 + 0*c + 2/7*c**4 + 0 = 0.
-1, 0, 1
Let d = -10 - -15. Suppose 0 = -d*c + 2*x - 4, -6*c + 5*x - 10 = -3*c. Find y, given that 2*y - 31 + 27 + c*y**2 + 2*y**2 = 0.
-2, 1
Suppose -5*g = -4*h - 6, -5*g = 4*h - 6*g - 2. Suppose h = -o - c, 2*o - 2*c - 10 = -0*o. Factor 4*f**3 + 2*f - 11*f**2 - f**o + 6*f.
4*f*(f - 2)*(f - 1)
Let l(f) be the third derivative of 2*f**7/525 + f**6/10 - f**5/75 - f**4/2 - 80*f**2 + 2. Determine a, given that l(a) = 0.
-15, -1, 0, 1
Let k(q) be the third derivative of q**8/112 - 9*q**7/70 + 3*q**6/8 - 7*q**5/20 - 69*q**2. Factor k(j).
3*j**2*(j - 7)*(j - 1)**2
Let b(y) be the first derivative of -y**6/9 - 4*y**5/5 - 3*y**4/2 + 8*y**3/9 + 4*y**2 - 2. Suppose b(z) = 0. What is z?
-3, -2, 0, 1
Let d(k) be the third derivative of 1/15*k**5 + 0*k**3 + 1/60*k**6 + 0*k + 4*k**2 + 0 + 1/12*k**4. Factor d(s).
2*s*(s + 1)**2
Let g(n) = -n**4 + 6*n**3 - 20*n**2 + 24*n - 5. Let l(d) = 6*d**4 - 31*d**3 + 101*d**2 - 122*d + 24. Let z(s) = -33*g(s) - 6*l(s). Factor z(m).
-3*(m - 1)**3*(m + 7)
Let p(j) = -14*j**4 - 6*j**3 - 14*j**2 - 11*j. Let m(z) = -5*z**4 - 2*z**3 - 5*z**2 - 4*z. Let w(s) = -11*m(s) + 4*p(s). Let w(t) = 0. What is t?
-1, 0
Let -75*g + 185/2*g**2 - 50*g**3 + 10*g**4 + 45/2 = 0. Calculate g.
1, 3/2
Let d(q) be the third derivative of q**7/5040 + q**6/720 - q**4/36 - 6*q**3 - 16*q**2. Let n(u) be the first derivative of d(u). Suppose n(l) = 0. Calculate l.
-2, 1
Suppose -108*c**2 - 47*c**2 - 500*c + 33*c**3 - 45*c**2 + 207*c**3 + 4*c**5 - 56*c**4 = 0. What is c?
-1, 0, 5
Let w(q) be the first derivative of -15/2*q**2 + 17/3*q**3 - 14 - 2*q. Factor w(p).
(p - 1)*(17*p + 2)
Let u = 753/5173 + -2/739. Factor 2/7*q**3 + u*q**2 - 2/7*q - 1/7*q**4 + 0.
-q*(q - 2)*(q - 1)*(q + 1)/7
Let l be (-66)/(-15) - 91/65. Let d(n) be the first derivative of 2/3*n**l + 0*n - 6 - 1/2*n**4 + 0*n**2. Factor d(c).
-2*c**2*(c - 1)
Let w be (-6080)/880 + (2 - -5). Let y(b) be the first derivative of 0*b + w*b**2 - 7 + 1/11*b**3 + 1/44*b**4. Factor y(a).
a*(a + 1)*(a + 2)/11
Let j(y) = 19*y**3 + 17*y**2 - 43*y + 7. Let g(l) = -20*l**3 + 29*l + 7*l**3 - 26 - 11*l**2 + 15 + 6. Let q(s) = -7*g(s) - 5*j(s). Factor q(h).
-4*h*(h - 1)*(h + 3)
Let t(d) = d**2 + 2*d - 1. Let v be t(-2). Let o(p) = -4*p - 2. Let c be o(v). Factor -n**3 + n**5 + 3 + 1 - 8*n**2 + 3*n**4 + 0*n**c + n**2.
(n - 1)**2*(n + 1)*(n + 2)**2
Suppose 17 = -o + g, 7*g = -2*o + 2*g + 1. Let s = o - -17. Factor s*b**2 + b + b**5 + 6*b**4 - 11*b**2 + 2*b - 4*b**5.
-3*b*(b - 1)**3*(b + 1)
Let x(z) = 2*z + 163. Let b be x(0). Let c = b - 163. Factor -7/4*n**4 + 19/4*n**3 - 2*n**2 + c - n.
-n*(n - 2)*(n - 1)*(7*n + 2)/4
Let j(g) be the first derivative of g**6/450 - g**5/50 + g**4/15 + 26*g**3/3 - 11. Let c(k) be the third derivative of j(k). Determine l, given that c(l) = 0.
1, 2
Let d(m) be the second derivative of m**7/1470 - m**6/420 + m**4/84 - m**3/42 + 33*m**2/2 + 15*m. Let j(h) be the first derivative of d(h). Factor j(w).
(w - 1)**3*(w + 1)/7
Let r(x) be the third derivative of -x**9/3024 + x**7/210 - 19*x**3/6 + 3*x**2. Let i(a) be the first derivative of r(a). Factor i(l).
-l**3*(l - 2)*(l + 2)
Let c(q) be the first derivative of 2*q**5/15 + q**4/3 + 2*q**3/9 - 37. Solve c(r) = 0 for r.
-1, 0
Let n(c) be the second derivative of c**7/315 - c**6/180 - c**5/90 + c**4/36 + 29*c**2/2 - 3*c. Let h(m) be the first derivative of n(m). What is y in h(y) = 0?
-1, 0, 1
Let w(i) be the second derivative of 2/33*i**4 - 4/33*i**3 + 0 + 0*i**2 - 25*i - 1/110*i**5. Factor w(c).
-2*c*(c - 2)**2/11
Let r(n) = n + 1. Let x(d) = -d**2 - d - 25. Suppose -4*w - 6*u + u = 33, -3*w = -5*u - 19. Let y(l) = w*x(l) - 18*r(l). Factor y(m).
2*(m - 4)**2
Let l = 1832 - 5494/3. Suppose l + 2/3*o**4 + 0*o**3 - 4/3*o**2 + 0*o = 0. Calculate o.
-1, 1
Let s be ((-1031)/2 - 1)*6/3. Let r be -5 - s*7/35. Factor -32/5 - r*o**2 + 686/5*o**4 - 64*o - 784/5*o**3.
2*(o - 2)*(7*o + 2)**3/5
Let c be 6 + -10 + (-2)/2*-19. Factor 31*g - 9*g**2 - c - 15 - 82*g.
-3*(g + 5)*(3*g + 2)
Let q(n) be the second derivative of 1/160*n**5 + 1/24*n**4 + 0*n**3 + 0*n**2 + 7*n + 0. Factor q(r).
r**2*(r + 4)/8
Let b be ((-3)/6 + 0)*(-9 - -3). Let x(l) be the second derivative of l + 1/3*l**4 - 2*l**2 + 0 + 0*l**b. Determine f so that x(f) = 0.
-1, 1
Let d(n) be the second derivative of 3/2*n**2 + 3/20*n**5 - 6*n - 1/2*n**3 - 1/4*n**4 + 0. Suppose d(w) = 0. Calculate w.
-1, 1
Let u be 395/135 + (-6)/2. Let n = u + 20/27. Factor 1/3*i**2 + n*i**3 - 2/3*i - 1/3*i**4 + 0.
-i*(i - 2)*(i - 1)*(i + 1)/3
Let u(p) be the third derivative of -p**5/300 + 2*p**3/15 + 8*p**2. Find j, given that u(j) = 0.
-2, 2
Factor -20/3*k**2 + 0 + 1/3*k**4 - 1/3*k**3 + 0*k.
k**2*(k - 5)*(k + 4)/3
Let g(v) = -8*v**2 + 169*v - 2498. Let u(i) = 9*i**2 - 168*i + 2493. Let h(k) = -6*g(k) - 5*u(k). Factor h(r).
3*(r - 29)**2
Let f(k) be the third derivative of 9*k**6/8 + 47*k**5/10 + 53*k**4/8 + 2*k**3 - 67*k**2. Factor f(g).
3*(g + 1)**2*(45*g + 4)
Let k = -163 - -1469/9. Suppose -17*c = -8*c - 3*c. Let -k*f**2 + c - 2/3*f = 0. What is f?
-3, 0
Let y(n) = -n**2 + 2*n + 1. Let r be y(-4). Let o = r + 25. Factor 0*l**3 - 4/5*l**o + 0*l + 2/5 + 2/5*l**4.
2*(l - 1)**2*(l + 1)**2/5
Suppose -1 + 2 = -5*o - 2*k, 3*o + 2*k = -3. Let t be (-18)/(-45) + (26/10)/o. Factor -2*g**2 + 1/2*g**5 + 3*g**t - 2*g**4 + 0 + 1/2*g.
g*(g - 1)**4/2
Let r be ((-2850)/12)/25 - -11. Let -2*t - 1/2*t**4 + t**3 + r*t**2 - 2 = 0. Calculate t.
-1, 2
Let o(w) = -145*w + 147. Let s be o(1). Factor -2*z**3 - 3/2 + 1/2*z**4 + s*z + z**2.
(z - 3)*(z - 1)**2*(z + 1)/2
Let n(x) be the first derivative of -3*x**6/35 - 12*x**5/35 + 3*x**4/14 + 11*x + 14. Let p(k) be the first derivative of n(k). Solve p(b) = 0 for b.
-3, 0, 1/3
Let n(z) be the second derivative of -29*z + 0*z**3 + 0*z**2 - 5/36*z**4 - 7/24*z**5 - 5/36*z**6 + 0. Factor n(s).
-5*s**2*(s + 1)*(5*s + 2)/6
Let h(s) = -3*s + 51. Let a be h(16). Solve -8*r**3 - 4 - 24*r**2 - 2*r**3 - 18*r + 0*r**a = 0 for r.
-1, -2/5
Let y(l) = 2*l**5 - 2*l**3 + l**2 - l - 1. Let b(j) = 6*j**5 - 12*j**4 - 24*j**3 + 8*j**2 + 14*j + 4. Let h(q) =