 2*r(f) - x(f). Factor o(c).
-(9*c - 26)**3
Suppose -22*z = -3*z - 114. Solve z + 10*t - 10 - 4 - 4*t**2 + 2*t**2 = 0.
1, 4
Suppose 69 - 15 = 27*a. Let t(s) be the first derivative of 0*s**4 + 3*s - 7 - 2*s**3 + 3/5*s**5 + 0*s**a. Factor t(o).
3*(o - 1)**2*(o + 1)**2
Let q be (156/(-26))/(-1 - 1). Let r(d) be the first derivative of -8 + 7/5*d**q + 3/4*d**4 + 0*d + 3/5*d**2. Solve r(x) = 0.
-1, -2/5, 0
Suppose w + 4*w + 19*w = -32*w. Factor 2/11*p**3 + 0*p - 4/11*p**2 + w + 2/11*p**4.
2*p**2*(p - 1)*(p + 2)/11
Let o(m) = 3*m**4 - 12*m**3 + 66*m - 51. Let g(u) = -3*u**4 + 13*u**3 - u**2 - 65*u + 52. Let w(h) = -3*g(h) - 2*o(h). Suppose w(p) = 0. What is p?
-2, 1, 3
Let r(f) = 2*f**2 + f. Let p(u) = -20*u**2 - 6*u + 5. Let d(a) = -p(a) - 7*r(a). Factor d(z).
(z - 1)*(6*z + 5)
Suppose 99*h + 12/5*h**3 + 144/5*h**2 + 363/5 = 0. What is h?
-11/2, -1
Let u(t) be the third derivative of -2*t**7/35 - 8*t**6/15 - 11*t**5/15 + 11*t**4/3 + 16*t**3/3 - 16*t**2 + t. Solve u(v) = 0 for v.
-4, -2, -1/3, 1
Let b(r) = -5*r + 3. Let i(w) = -w**2 + w + 1. Let c(q) = -b(q) + i(q). Let v(u) = -u + 1. Let g(z) = c(z) + 2*v(z). Let g(m) = 0. Calculate m.
0, 4
Suppose -4*t + 3 = a - 1, t = a + 6. Let j be (-102)/27 + (6 - t). Let j*x**4 - 8/9 - 8/9*x**3 + 8/9*x + 2/3*x**2 = 0. Calculate x.
-1, 1, 2
Let y be 47/(-4) - (-8)/(-32). Let d = y + 15. Solve 3*c**d - 11*c + 11*c - 3*c**4 = 0.
0, 1
Let o(z) be the second derivative of -z**5/15 + 59*z**4/3 - 6962*z**3/3 + 410758*z**2/3 - 115*z. Let o(d) = 0. Calculate d.
59
Let m be 5/25*1 + 9/5. Factor -g**5 + g**m + 2*g**4 + 3*g**4 - g**4 + g**3 - 5*g**4.
-g**2*(g - 1)*(g + 1)**2
Let t(l) be the third derivative of l**6/60 + 2*l**5/5 - 43*l**4/12 + 10*l**3 + 347*l**2. Factor t(m).
2*(m - 2)*(m - 1)*(m + 15)
Let x(m) be the second derivative of m**8/560 - m**7/280 - m**6/60 - 23*m**3/6 - 6*m. Let l(j) be the second derivative of x(j). Factor l(r).
3*r**2*(r - 2)*(r + 1)
Factor -1/4*r**4 - 2*r**2 + r + 0 + 5/4*r**3.
-r*(r - 2)**2*(r - 1)/4
Let b(k) = -14*k**2 - 704*k - 30966. Let s(i) = 8*i**2 + 352*i + 15482. Let h(p) = -3*b(p) - 5*s(p). Factor h(v).
2*(v + 88)**2
Solve -80*v**3 + 45*v**5 + 70*v**4 - 15*v**4 + 10*v**2 - 30*v**2 = 0.
-2, -2/9, 0, 1
Let u(p) be the second derivative of 1/50*p**5 - 1/5*p**3 + 0 + 0*p**4 - 2/5*p**2 - 35*p. Suppose u(i) = 0. What is i?
-1, 2
Let y(n) = 5*n**4 + 3*n**3 - 47*n**2 + 48*n + 90. Let t(q) = 4*q**4 + 2*q**3 - 46*q**2 + 48*q + 90. Let m(l) = 3*t(l) - 2*y(l). Factor m(b).
2*(b - 3)**2*(b + 1)*(b + 5)
Let b be (9/(-21))/((-9)/42). Let p be b/8 + 3*49/84. Solve 2/7*c**5 + 0*c**4 + 0*c**p + 0 + 2/7*c - 4/7*c**3 = 0.
-1, 0, 1
Let b = 877 - 875. Factor 2/7*m**b + 0*m - 8/7.
2*(m - 2)*(m + 2)/7
Let c(b) = -b**3 + b**2 + 6*b + 4. Let s be c(3). Determine y so that -20*y**5 + 769 + 5*y**s - 5*y**2 + 35*y**3 - 769 - 15*y = 0.
-1, -3/4, 0, 1
Let z(a) be the second derivative of 0 - 3/5*a**5 + 32*a - a**3 + 1/10*a**6 + 5/4*a**4 + 0*a**2. Find p such that z(p) = 0.
0, 1, 2
Let l(a) = -a**2 + 7*a - 6. Let w be l(5). Let v be (-115)/(-35) - w/14. Find t such that -1/4 + 3/4*t - 3/4*t**2 + 1/4*t**v = 0.
1
Let x(r) be the first derivative of -4 - 4*r**3 - 12*r**2 - 1/2*r**4 - 16*r. Factor x(w).
-2*(w + 2)**3
Suppose 51*u - 50*u = 4. Let v(z) be the second derivative of -1/48*z**u - 1/4*z**2 - 1/8*z**3 + 0 + z. What is a in v(a) = 0?
-2, -1
Factor 2*s**4 - 28*s - 493 + 7 + 54*s**3 - 45*s - s**5 - 47*s + 108*s**2 - 69*s.
-(s - 9)*(s - 2)*(s + 3)**3
Let z(n) = n**3 - 21*n**2 + 14*n + 122. Let m be z(20). Let k(p) be the second derivative of -2*p**3 + 0 + 9*p - 2/5*p**5 - p**m - 3/2*p**4. Factor k(q).
-2*(q + 1)**2*(4*q + 1)
Suppose 2/3*k**2 + 142/3*k + 140/3 = 0. Calculate k.
-70, -1
Let j be 16*(-255)/(-720) - 10/6. Factor -40/3*t**2 - 50/3*t**5 - 208/3*t**3 + 0 + 0*t - 290/3*t**j.
-2*t**2*(t + 5)*(5*t + 2)**2/3
Let u = -19595 + 58789/3. What is r in -u - 2*r + 2/3*r**3 + 0*r**2 = 0?
-1, 2
Let j = 85 - 57. Let z be (7/((-126)/48))/(j/(-18)). What is x in 4/7 + z*x**2 - 16/7*x = 0?
1/3, 1
Determine b, given that -2/9*b - 2/9 + 2/9*b**2 + 2/9*b**3 = 0.
-1, 1
Let t(c) be the second derivative of -5*c**3/3 - 5*c**2 - 23*c - 3. Let k be t(-1). Solve -2/7*r**3 + 4/7*r + k + 2/7*r**2 = 0.
-1, 0, 2
Let w(k) be the first derivative of -1/10*k**5 + 0*k - 1/4*k**4 + 0*k**3 + 15 + 0*k**2. Let w(x) = 0. What is x?
-2, 0
Let t(l) = 2*l**2 - 14*l - 34. Let a be t(9). Let v(p) be the second derivative of 0*p**a + 0 + 0*p**3 - 3*p + 1/42*p**4. Factor v(f).
2*f**2/7
Let q(j) be the second derivative of -4/7*j**2 + 1/105*j**6 + 5*j + 8/21*j**3 - 1/35*j**5 + 0 - 1/14*j**4. Factor q(g).
2*(g - 2)*(g - 1)**2*(g + 2)/7
Let t be 2/5*(-26 + 51). Factor -t*z**3 - 4*z**2 + 14*z**3 - 6*z**3.
-2*z**2*(z + 2)
Let g(z) = -2*z**2 - 47*z + 27. Let j be g(-24). Let c(f) be the first derivative of -1 + 0*f - 1/12*f**4 - 1/6*f**2 + 2/9*f**j. Factor c(t).
-t*(t - 1)**2/3
Solve -125*n + 5*n**3 - 242 - 20*n**2 + 60*n**2 + 70*n**2 + 12 = 0 for n.
-23, -1, 2
Factor 9 + 36*q + 154*q**4 - 39*q**2 - 157*q**4 + 18*q**3 - 21.
-3*(q - 2)**2*(q - 1)**2
Suppose 2*v = 4*v - 2*u + 12, u - 18 = 5*v. Let b = v + 5. What is x in -6*x - b*x**2 - 2 + 0*x**2 - 2 = 0?
-2, -1
Let a(s) = -8*s**4 + 4*s**3 - 6*s. Let w = 27 - 21. Let r = -1 - -12. Let v(z) = 16*z**4 - 8*z**3 + 11*z. Let f(d) = r*a(d) + w*v(d). Solve f(o) = 0 for o.
0, 1/2
Let g(r) be the third derivative of 1/20*r**5 + 0*r + 6*r**2 + 0*r**3 + 1/40*r**6 + 0 + 0*r**4. Factor g(w).
3*w**2*(w + 1)
Let j(w) = 7*w. Let s(v) = 13*v. Let g(n) = -11*j(n) + 6*s(n). Let q be g(2). Factor -2 - 2 - 8*f + 2*f - 2*f**q.
-2*(f + 1)*(f + 2)
Let o(m) be the third derivative of -m**6/8 + 7*m**5/12 - 10*m**3/3 + 7*m**2 + 2. What is f in o(f) = 0?
-2/3, 1, 2
Factor 0*s - 8/5*s**3 + 0 + 24/5*s**4 + 0*s**2 + 14/5*s**5.
2*s**3*(s + 2)*(7*s - 2)/5
Let h(q) be the second derivative of -q**7/294 + q**6/21 - 13*q**5/140 - q**4/3 + 2*q**3/3 + 16*q**2/7 + 850*q. Find l, given that h(l) = 0.
-1, 2, 8
Suppose 0 = k + k - 28. Let t = k + -12. Factor -s**3 + 0*s**2 + 5*s**2 + 0*s**2 - 4*s**t.
-s**2*(s - 1)
Suppose 93*h**2 - 15*h**4 - 164*h**2 - 100*h**2 - 54*h - 96*h**3 = 0. What is h?
-3, -2/5, 0
Let l(i) be the first derivative of 3/4*i**2 + 2*i - 1/6*i**3 - 1. Find t, given that l(t) = 0.
-1, 4
Let q be (0/(-3))/(17 - 13). Let -2/3 + 4/3*c**2 - 2/3*c**4 + q*c**3 + 0*c = 0. Calculate c.
-1, 1
Factor -57/5*z + 32/5*z**2 + 63/10 + 1/10*z**4 - 7/5*z**3.
(z - 7)*(z - 3)**2*(z - 1)/10
Let j(y) = -13*y + 4. Let t(a) = -9*a + 3. Let b(w) = -5*j(w) + 7*t(w). Let r be b(11). Factor -r - 53*l**2 + 35*l + 14*l**3 + 34 - 17.
(l - 3)*(2*l - 1)*(7*l - 2)
Factor 376*x - 1809*x**2 - 8 + 1073*x**2 - 3682*x**2.
-2*(47*x - 2)**2
Determine f so that 5*f**2 + 0*f**2 + 7*f**2 + 22*f + 14700 - 9*f**2 + 398*f = 0.
-70
Factor 19 - 20*a + 273*a**2 - 19 - 267*a**2.
2*a*(3*a - 10)
Let a(c) be the first derivative of 0*c + c**3 + 5/2*c**2 + 1/40*c**6 + 0*c**5 - 3/8*c**4 + 7. Let l(g) be the second derivative of a(g). Factor l(q).
3*(q - 1)**2*(q + 2)
Factor 600 + 3/2*s**2 - 60*s.
3*(s - 20)**2/2
Let a be 41 + -51 - 121/(-12). Let l(w) be the third derivative of 0*w + 0 + 7/96*w**4 + 8*w**2 - 3/80*w**5 + a*w**3. Factor l(b).
-(b - 1)*(9*b + 2)/4
Let a(w) be the first derivative of -18*w**5/25 - 114*w**4/5 - 28*w**3/3 + 124*w**2/5 - 10*w - 396. Suppose a(u) = 0. What is u?
-25, -1, 1/3
Let c = 223 + -216. Suppose c = -18*q + 7. Solve -4/7*s**3 + 0 + q*s - 2/7*s**2 - 2/7*s**4 = 0.
-1, 0
Let c be (0 - -1)*-11 - (9 - 11). Let y(t) = t**3 + 9*t**2 - 3*t - 27. Let n be y(c). Let -2/3*h + 4/3*h**2 + n - 4/3*h**4 + 0*h**3 + 2/3*h**5 = 0. What is h?
-1, 0, 1
Let a = -457/70 - -97/14. Factor 2/5*v**3 + 0*v**2 + 0 - a*v.
2*v*(v - 1)*(v + 1)/5
Let n(b) be the third derivative of b**8/784 + b**7/98 - 3*b**6/56 - 13*b**5/28 - 5*b**4/4 - 12*b**3/7 + 18*b**2 - 2. Factor n(k).
3*(k - 4)*(k + 1)**3*(k + 6)/7
Suppose -7*z = -2*z + 275. Let s = -53 - z. Let -2/11*o**s + 0 + 0*o = 0. Calculate o.
0
Solve -306/11*d - 2/11*d**2 - 304/11 = 0 for d.
-152, -1
Suppose q - 20 = -q. Find r such that -14*r**2 - 21*r**2 + q*r - 35*r**3 + 10*r**2 = 0.
-1, 0, 2/7
Let x(f) be the second derivative of 3*f**5/140 + 9*f**4/28 - 6*f**3/7 - 30*f**2/7 - 4*f - 3. Suppose x(s) = 0. Calculate s.
-10