 Factor 0*o**3 + 4*o**2 - 2*o**3 - 115*o**4 + 113*o**z.
-2*o**2*(o - 1)*(o + 2)
Let v(j) be the first derivative of -j**2/2 + 4*j + 22. Let y be v(-1). Suppose 0*a + 1/4*a**y + 0*a**4 + 0 - 1/4*a**3 + 0*a**2 = 0. Calculate a.
-1, 0, 1
Let r(z) be the second derivative of -3*z**5/140 + z**4/14 + 76*z. Solve r(m) = 0.
0, 2
Let k be 42/(-10) - 25/(-5). Let l(f) be the first derivative of 1/8*f**2 + k*f**5 + 3/4*f**3 + 3/2*f**4 + 0*f + 8. Factor l(w).
w*(w + 1)*(4*w + 1)**2/4
Let q(p) be the first derivative of -2*p**3/3 + 6*p**2 - 16*p - 45. Factor q(d).
-2*(d - 4)*(d - 2)
Let a = 823 + -823. Determine b so that 0 + 5*b**4 + 5/3*b**5 + 5*b**3 + 5/3*b**2 + a*b = 0.
-1, 0
Let t(u) be the third derivative of 1/6*u**3 + 0*u**4 - 7*u**2 + 0*u + 1/480*u**6 + 0 - 1/80*u**5. Determine j so that t(j) = 0.
-1, 2
Let q = 22 + -26. Let i be (q/(-10))/((-16)/(-60)). Solve -3/2*g - 3/2*g**2 + i*g**4 + 3/2*g**3 + 0 = 0.
-1, 0, 1
Factor -1/2*i**3 + 17/2*i + 7/2*i**2 + 9/2.
-(i - 9)*(i + 1)**2/2
Let h(a) be the second derivative of a**5/150 + a**4/15 + a**3/5 + 5*a**2/2 - 32*a. Let t(v) be the first derivative of h(v). Factor t(r).
2*(r + 1)*(r + 3)/5
Let 16 - 4*a + 1/4*a**2 = 0. What is a?
8
Let a(r) = -4*r**3 + r**2 - 9*r + 3. Let w(v) = -18*v**3 + 4*v**2 - 46*v + 14. Let b(d) = 28*a(d) - 6*w(d). Factor b(m).
-4*m*(m - 3)*(m + 2)
Let j be ((-168)/3612 - 4/(-86))/(5 - 3). Factor -1/4*p**5 + 3/4*p**4 + 0 + j*p - 3/4*p**3 + 1/4*p**2.
-p**2*(p - 1)**3/4
Suppose -2*z - 3*t = -4, -4*z + 589 - 573 = 2*t. Suppose -2/7*f**z + 2/7 - 4/7*f**3 + 6/7*f + 4/7*f**2 - 6/7*f**4 = 0. Calculate f.
-1, 1
Let r = 16 + -9. Suppose -r + 2 = -p. Solve 18*h**2 - 8*h**4 - 3*h**p - 6*h**2 + 6*h - 18*h + 2*h**4 + 9*h**3 = 0.
-2, 0, 1
Suppose -5*z - 4*n + 5*n + 11 = 0, -4*n = 2*z. Factor 15/2*c**3 + 15/4*c**4 + 15/2*c**z + 3/4 + 15/4*c + 3/4*c**5.
3*(c + 1)**5/4
Let a(u) = -u**3 + 4*u**2 - 2. Let m be a(3). Factor 6*q**4 + m*q - 14*q**3 - 6*q + 10*q**2 - 3*q.
2*q*(q - 1)**2*(3*q - 1)
Let b(r) be the second derivative of r**5/20 - 3*r**4/2 - 8*r**3/3 - 55*r**2/2 + 2*r - 12. Let a be b(19). Factor -2/13*n**a + 4/13 - 2/13*n.
-2*(n - 1)*(n + 2)/13
Let d(w) be the second derivative of -w**4/21 + 32*w**3/7 - 11*w + 5. Let d(r) = 0. Calculate r.
0, 48
Let l = -745/2 + 373. Let x(r) be the third derivative of 3/10*r**5 + 3/16*r**4 + 4*r**2 + 0 + 7/80*r**6 + 0*r - l*r**3. Factor x(p).
3*(p + 1)**2*(7*p - 2)/2
Let o = -63059/5 - -12615. Find x such that -4/5*x**3 + 4/5*x + 16/5 - o*x**2 = 0.
-4, -1, 1
Suppose -4*d + 28 = -4*t, 1 = -2*t - 5. Suppose 4*u - 3*u = -4*a + 5, -d*u + 20 = 5*a. Let a*v - 12/7 + 3/7*v**2 = 0. What is v?
-2, 2
Let p(s) = 6*s**2 - 2*s - 5. Let v(i) be the first derivative of -7*i**3/3 + i**2 + 6*i - 8. Let o(f) = 6*p(f) + 5*v(f). Factor o(r).
r*(r - 2)
Let x(b) = 707*b + 47. Let j be x(5). Let o = j - 68034/19. Solve 276/19*l**2 + 72/19*l**4 - o*l - 16/19 + 286/19*l**3 = 0.
-2, -2/9, 1/4
Let f(a) be the third derivative of a**7/420 + 7*a**6/40 + 147*a**5/40 - 40*a**2 - a. Factor f(b).
b**2*(b + 21)**2/2
Solve -7/9*g**3 - 4/3*g**2 + 4/9*g - 1/9*g**4 + 16/9 = 0.
-4, -2, 1
Suppose 5*y = 2*y + 4*j + 27, -4*y = 3*j - 36. Suppose 0 = -y*h + 4*h + 10. Find k such that -2/7*k**h - 2/7 - 6/7*k + 4/7*k**4 + 6/7*k**3 = 0.
-1, -1/2, 1
Factor 148/7*a**2 + 284/7*a + 4/7*a**3 + 20.
4*(a + 1)**2*(a + 35)/7
Factor 0 - 3/8*x**4 + 9/2*x**2 + 15/8*x**3 - 27/2*x.
-3*x*(x - 6)*(x - 2)*(x + 3)/8
Let s = 1939 - 1937. Find g such that -1 + 1/2*g**s + 1/2*g = 0.
-2, 1
Let s = 32 + -30. Determine a so that 17*a**3 + 7*a**2 + 3*a**s - 22*a**3 + 5*a - 10 = 0.
-1, 1, 2
Factor 2*g**2 - 31 - g**3 + 11*g**3 - 35 + 66.
2*g**2*(5*g + 1)
Let h(j) = 2*j**3 - 12*j - 6. Let p(l) = l**3 - 12*l - 5. Let x(k) = k**2 - 4*k - 14. Let c be x(6). Let m(d) = c*p(d) + 3*h(d). Factor m(w).
4*(w - 2)*(w + 1)**2
Suppose -4*b + 8*b - 18 = -2*u, -3*b = -4*u + 14. Factor 8/11*l - 2/11*l**b - 8/11.
-2*(l - 2)**2/11
Determine w, given that 2/5*w**3 - 2/5*w**4 + 0*w + 0 + 0*w**2 = 0.
0, 1
Let c = -5393/3 + 1799. Determine i so that 0 - 2/3*i**4 - 4/3*i + 2/3*i**2 + c*i**3 = 0.
-1, 0, 1, 2
Let v(y) = y**4. Let x(z) = -2*z**4 + 36*z**2 + 16*z - 48. Let b(q) = -2*v(q) + x(q). Factor b(p).
-4*(p - 3)*(p - 1)*(p + 2)**2
Let u(i) = 4*i + 6. Suppose -c = 2*l + 4, c - 5*l = -8*l - 5. Let h(s) = s**2 + s - 1. Let t(b) = c*u(b) - 4*h(b). Let t(p) = 0. What is p?
-2, -1
Let s(a) be the second derivative of 2/21*a**7 + 2*a**3 - 4/5*a**5 - 8*a + 0 - 2/3*a**4 + 4*a**2 + 0*a**6. Factor s(k).
4*(k - 2)*(k - 1)*(k + 1)**3
Let f = -6508 - -58576/9. Factor -2/9*w**2 - 2/9 + f*w.
-2*(w - 1)**2/9
Let v(h) be the third derivative of 5*h**8/336 - 2*h**7/21 - 5*h**6/12 + 7*h**5/3 - 25*h**4/8 + 546*h**2. What is k in v(k) = 0?
-3, 0, 1, 5
Let q(n) be the first derivative of -22 - 1/21*n**6 + 1/7*n**4 - 16/21*n**3 - 4/7*n + 4/35*n**5 + n**2. Determine p, given that q(p) = 0.
-2, 1
Let b = -10 - -14. Suppose -66 = -58*u + 50. Determine k so that 1/4*k**u + 0*k - 1/2*k**3 + 1/4*k**b + 0 = 0.
0, 1
Let r(v) be the third derivative of -v**8/1680 - v**7/420 - 2*v**3/3 - v**2. Let b(g) be the first derivative of r(g). What is u in b(u) = 0?
-2, 0
Suppose -k = -79*o + 80*o, -3*o = -4*k. Factor 0*i + 6/5*i**3 + 0*i**4 - 2/5*i**5 + 4/5*i**2 + k.
-2*i**2*(i - 2)*(i + 1)**2/5
Let c(i) = i**3 + 14*i**2 - 68*i + 2. Let b(u) = 3*u**3 + 27*u**2 - 138*u + 5. Let f(l) = -4*b(l) + 10*c(l). Let f(v) = 0. Calculate v.
0, 8
Suppose -111*i = -244*i - 455*i + 1176. Let 1/3*t**i + 0*t - 4/3 = 0. Calculate t.
-2, 2
Let m(n) be the third derivative of -n**2 + 1/260*n**6 + 0*n**4 + 0 - 1/1365*n**7 + 0*n + 0*n**3 - 1/195*n**5. Determine c, given that m(c) = 0.
0, 1, 2
Let v(w) = 13*w**2 - 149*w - 320. Let d(l) = 19*l**2 - 223*l - 480. Let b(h) = 5*d(h) - 7*v(h). Determine o, given that b(o) = 0.
-2, 20
Let u(j) = 10*j**3 + j**2 - 3*j - 2. Let i be u(3). Suppose 2*a = -2*a + i. Suppose 3*h**2 - 67*h + a*h = 0. Calculate h.
0
Let l = -1959 + 1964. Find u such that 0*u**3 - 2/15*u**l + 0*u + 0 + 0*u**2 - 2/15*u**4 = 0.
-1, 0
Let i(q) be the first derivative of -q**5/110 + q**3/33 + 7*q - 10. Let w(f) be the first derivative of i(f). Determine v, given that w(v) = 0.
-1, 0, 1
Let m(u) be the second derivative of -u**7/378 + 13*u**6/90 - 19*u**5/90 + 671*u. Factor m(h).
-h**3*(h - 38)*(h - 1)/9
Let n(w) = -w**2 - 9*w - 18. Let j be n(-5). Suppose -20 - 6*f**j - 5*f**2 + 20*f**2 - 15*f - 4*f**2 = 0. Calculate f.
-1, 4
Determine a, given that -2*a**2 - 40/9 + 16/3*a + 2/9*a**3 = 0.
2, 5
Let o = -25 + 30. Factor 28*h - 26*h**3 + 8*h**2 + 2*h**3 - 20*h**4 + 12 + 1993*h**5 - 1997*h**o.
-4*(h - 1)*(h + 1)**3*(h + 3)
Let m(w) be the third derivative of -w**6/160 - w**5/8 + 23*w**4/32 - 3*w**3/2 + 8*w**2 - 2*w. Factor m(d).
-3*(d - 1)**2*(d + 12)/4
Let q(o) be the third derivative of o**6/100 - 59*o**5/90 - 11*o**4/30 + 74*o**2. Factor q(x).
2*x*(x - 33)*(9*x + 2)/15
Let y = -2639/6 + 440. Let z(x) be the first derivative of -3/2*x + 1/2*x**2 + y*x**3 - 5. Let z(k) = 0. Calculate k.
-3, 1
Suppose -m - 66 = -4*u - 17, 0 = -5*m + u - 188. Let d = m - -39. Determine j, given that 3*j - 9/4 - 3/4*j**d = 0.
1, 3
Let m(b) = -13*b**2 + b + 6. Let c(u) = -105*u**2 + 7*u + 51. Let g(d) = 6*c(d) - 51*m(d). What is o in g(o) = 0?
0, 3/11
Let y(h) = -8*h**2 - 2*h - 2. Let m(g) = -g**2 - 1. Suppose -s - 4 + 1 = 0. Let n(t) = t**2 + 2*t - 2. Let l be n(s). Let d(z) = l*y(z) - 6*m(z). Factor d(o).
-2*(o - 1)*(o + 2)
Let w(s) be the third derivative of 0 + 0*s**3 + 13/480*s**6 - 16*s**2 + 1/24*s**4 + 1/1344*s**8 + 0*s + 1/140*s**7 + 1/20*s**5. Solve w(b) = 0.
-2, -1, 0
Let l(t) be the third derivative of t**6/60 - 2*t**5/5 - t**4/12 + 4*t**3 - 25*t**2. Factor l(p).
2*(p - 12)*(p - 1)*(p + 1)
Let o be (-54)/(-104) - 204/(-816). Factor -o*k**2 - 2/13 + 12/13*k.
-2*(k - 1)*(5*k - 1)/13
Let g = 1023/5 + -8593/42. Let i(t) be the third derivative of t**2 - 1/28*t**4 + 0*t**3 + 0 + 0*t - g*t**5. Factor i(p).
-2*p*(p + 3)/7
Let p(d) = -3*d**3 - 1023*d**2 + 26950*d - 71978. Let v(i) = -i**3 - 511*i**2 + 13475*i - 35991. Let q(j) = -6*p(j) + 13*v(j). Factor q(k).
5*(k - 49)**2*(k - 3)
Determine g, given that -226*g**3 + 7*g**4 - 19*g**4 - 71453*g - 9755*g + 10*g**4 - 8436*g**2 - 19872*g + 109744 = 0.
-38, 1
Find u suc