. Let c(g) = -5796*g**2 - 1360*g - 96. Let s(f) = -1159*f**2 - 272*f - 19. Let a(x) = b*s(x) + 3*c(x). Factor a(d).
4*(17*d + 2)**2
Find r, given that 22*r + 4*r**4 - 70*r**3 + 11*r**2 - 16 + r**2 + 4 + 52*r**3 = 0.
-1, 1/2, 2, 3
Let p be (12/14 - 1)*5. Let t = p - -29/21. What is q in 0*q**2 + 0*q - 2/3*q**4 - t*q**3 + 0 = 0?
-1, 0
Let u(i) be the third derivative of -i**8/9240 + i**6/1980 - i**3/2 - 4*i**2. Let j(h) be the first derivative of u(h). Factor j(n).
-2*n**2*(n - 1)*(n + 1)/11
Let t = 31 + -30. Suppose -t + 0 = -g. Factor g + 5/2*u**2 + 7/2*u.
(u + 1)*(5*u + 2)/2
Find v such that 0 + 1/2*v**3 + 0*v**2 + 0*v + 1/2*v**4 = 0.
-1, 0
What is j in 4/3 - 2*j + 2/3*j**2 = 0?
1, 2
Let q(b) be the third derivative of b**5/12 + b**4/6 + b**3 + 7*b**2. Let x(p) = p**2 + p + 1. Let l(s) = -q(s) + 6*x(s). Let l(y) = 0. What is y?
-2, 0
Solve 2*r**5 + 7*r**4 + 9*r**3 + r**5 - 4*r**4 + 6*r**4 + 3*r**2 = 0.
-1, 0
Let c(v) be the second derivative of v**5/5 + v**4 + 4*v**3/3 + 28*v. Solve c(d) = 0.
-2, -1, 0
Let a(l) be the first derivative of 7*l**3/3 - 16*l - 8. Let z(r) = -22*r**2 + 48. Let v(d) = 10*a(d) + 3*z(d). Factor v(p).
4*(p - 2)*(p + 2)
Suppose 2*m = -5*r - 0*m + 10, 2*r = -5*m + 4. Determine b so that 5*b**2 + 0*b**2 - r*b**2 - 9 - 6*b = 0.
-1, 3
Let l be (-20)/32*4/(-10). Let b = -11/4 - -3. Let 0*n**4 + b*n**3 + 0*n + 0 + 0*n**2 - l*n**5 = 0. What is n?
-1, 0, 1
Let t(o) be the third derivative of -o**7/105 + 7*o**6/480 + o**5/240 - 24*o**2. Determine w, given that t(w) = 0.
-1/8, 0, 1
Let q = 8 - 4. Let u = 5/13 - -29/26. Determine w so that -3*w**2 + 45*w**q + 0 + u*w**3 + 0*w + 81/2*w**5 = 0.
-1, -1/3, 0, 2/9
Let s(h) = -2*h - 6*h**2 + 2 + 9*h + 5*h**2. Let w be s(7). What is g in 6*g + g**2 + 2*g**2 - 3*g**2 - 2 + 2*g**w - 6*g**3 = 0?
-1, 1/3, 1
Let b = 30 + -30. Suppose b = -f + 9 - 5. Factor 3*d**3 - 3/2*d**2 + 0*d + 0 - 3/2*d**f.
-3*d**2*(d - 1)**2/2
Let k(u) = -u**3 + 7*u**2 + 7*u - 7. Let j(m) = -m**2 - m + 1. Let x(y) = y - 1. Let z be x(2). Let h(g) = z*k(g) + 6*j(g). Suppose h(b) = 0. Calculate b.
-1, 1
Let d(h) be the second derivative of h**7/28 - 7*h**6/20 + 57*h**5/40 - 25*h**4/8 + 4*h**3 - 3*h**2 + 10*h. Let d(w) = 0. What is w?
1, 2
Let b be (-126)/245 + 8/10. Factor 4/7*t**3 + 0 - b*t**2 + 0*t - 2/7*t**4.
-2*t**2*(t - 1)**2/7
Let h be (-1)/(-3)*(-3)/(-9). Let c(s) be the first derivative of -2 - 2/3*s**2 + h*s**3 + 4/3*s. Suppose c(f) = 0. Calculate f.
2
Let g(v) = v**3 + 10*v**2 + 8*v - 9. Let n be g(-9). Factor n*w - 4*w**2 - 2*w + 5*w**2.
w*(w - 2)
Let m(y) be the third derivative of -y**6/24 - y**5/3 - 5*y**4/6 - 15*y**2. Factor m(s).
-5*s*(s + 2)**2
Let t = 0 - -8. Let p be (2/t)/(1/4). Factor -p + 7/4*r**2 - 3*r.
(r - 2)*(7*r + 2)/4
Let j(v) = -2*v**3 + 2*v**2. Let p(c) = 5*c + 4 - 4*c - 5. Let o(r) = -j(r) - 2*p(r). Factor o(g).
2*(g - 1)**2*(g + 1)
Let o = 179 + -177. Let y(k) be the first derivative of 2/39*k**3 - 4/13*k + 4 + 1/13*k**o. What is q in y(q) = 0?
-2, 1
Let y(j) be the first derivative of -j**6/12 + j**5/10 + 3*j**4/8 - 5*j**3/6 + j**2/2 + 27. Factor y(b).
-b*(b - 1)**3*(b + 2)/2
Let t = 23 + -12. Let d = -11 + t. Factor 0*a + a**2 - 7/2*a**4 + 5/2*a**3 + d.
-a**2*(a - 1)*(7*a + 2)/2
Let s(a) = 2*a**2 + 2*a - 1. Let f be s(1). Solve 0*k + 0*k - f*k**5 - 6*k**4 = 0.
-2, 0
Let y(j) = -14*j**2 + 33*j - 35. Let g(z) = 20*z**2 - 49*z + 53. Let k(a) = -5*g(a) - 7*y(a). Factor k(x).
-2*(x - 5)*(x - 2)
Let g(a) = -10*a**2 + 8*a + 0*a + 0*a**3 - 10*a**3. Let m(s) = -13*s + 7*s + 5*s + s**2 + s**3. Let o(i) = g(i) + 8*m(i). Find u such that o(u) = 0.
-1, 0
Factor 0 - 35/4*r**3 - 25/4*r**2 + 5/2*r.
-5*r*(r + 1)*(7*r - 2)/4
Let l be 22/33*(-1 - -31). Suppose m + 5*f = -l, 12 = -0*m - m - 3*f. Factor 4/3*x + m - 2/3*x**2.
-2*x*(x - 2)/3
Suppose 2*a = -4 - 8. Let z = 8 + a. Find x, given that 3*x + 8*x**2 - 13*x**z + x - 17*x**2 = 0.
0, 2/11
Factor 0*y**2 + 0 + 0*y**4 - 2/23*y**5 + 2/23*y**3 + 0*y.
-2*y**3*(y - 1)*(y + 1)/23
Let c = -3 - -2. Let f = 4 + c. Let 2*a + 6*a**3 - f*a + 0*a**4 - 3 - 5*a + 3*a**4 = 0. What is a?
-1, 1
Let h = 550 + -32999/60. Let m(u) be the third derivative of 0*u**3 - 1/50*u**5 + h*u**6 - 1/30*u**4 + 0*u + u**2 + 0. Suppose m(q) = 0. What is q?
-2/5, 0, 1
Let r(i) be the first derivative of -2*i**7/105 + i**6/30 + i**5/5 - i**4/6 - 4*i**3/3 + i**2 + 7. Let p(g) be the second derivative of r(g). Factor p(c).
-4*(c - 2)*(c - 1)*(c + 1)**2
Factor 3*t**4 + 118*t**2 - 3*t - 121*t**2 + 3*t.
3*t**2*(t - 1)*(t + 1)
Let v(n) be the second derivative of -8*n - 1/30*n**6 + 0*n**3 - 1/40*n**5 + 0*n**2 - 1/84*n**7 + 0 + 0*n**4. What is d in v(d) = 0?
-1, 0
Let p(l) be the second derivative of -l**5/110 + l**4/66 + 4*l. Factor p(s).
-2*s**2*(s - 1)/11
Let 3*l**3 + 24*l**2 + 7 - 18*l**2 - 2*l**3 - 1 + 11*l = 0. What is l?
-3, -2, -1
Let v(l) = l**2 + 5*l + 2. Let h(z) = -1 + z**2 + 0*z**2 + 10*z + 4 - 4*z. Let q(t) = 4*h(t) - 5*v(t). Let q(d) = 0. What is d?
-2, 1
Let b(x) = x**2 + 4*x - 29. Let n be b(-8). Factor 0 - 1/3*y**n - 2/3*y**2 + 0*y.
-y**2*(y + 2)/3
Let y(r) be the second derivative of r**7/70 - r**6/50 - 3*r**5/100 + r**4/20 + 25*r. Let y(a) = 0. What is a?
-1, 0, 1
Let p(g) be the second derivative of 1/6*g**4 + g + 2*g**2 - g**3 + 0. Factor p(x).
2*(x - 2)*(x - 1)
Let z(p) be the first derivative of 2 - 1/150*p**5 + 1/60*p**4 + 1/2*p**2 + 0*p**3 + 0*p. Let u(l) be the second derivative of z(l). Factor u(r).
-2*r*(r - 1)/5
Factor p**2 - 10*p**5 - 2*p**4 + 3*p**3 + 0*p**2 + 9*p**5 - 2*p + p**4.
-p*(p - 1)**2*(p + 1)*(p + 2)
Let u(r) be the first derivative of r**5/50 - r**3/5 - 2*r**2/5 + 3*r - 3. Let h(b) be the first derivative of u(b). Let h(n) = 0. Calculate n.
-1, 2
Let y(c) be the second derivative of -c**8/13440 - c**7/1008 - c**6/180 - c**5/60 - 2*c**4/3 - 11*c. Let r(p) be the third derivative of y(p). Factor r(o).
-(o + 1)*(o + 2)**2/2
Let g = 34 + -30. Suppose -2 = -c + 2. Suppose c + 0 + 8*y**3 - g*y - 4*y**5 - 2*y**2 - 3 + 0 + y**4 = 0. What is y?
-1, 1/4, 1
Determine i, given that -8/5*i**2 + 2/5*i**3 - 2/5*i + 8/5*i**4 + 0 = 0.
-1, -1/4, 0, 1
Let m(a) = -a**3 + 13*a**2 + 16*a - 12. Let f be m(14). Factor -2*k**3 - 2*k**3 - 22*k + 2*k + f*k**2 + 8.
-4*(k - 2)*(k - 1)**2
Let t(h) = 7*h. Let b be t(2). Let z be 4/b + 38/14. Factor -2*x**2 - z*x + 2*x + 3*x - 2*x**3 + 0*x**2 + 2.
-2*(x - 1)*(x + 1)**2
Let g(p) be the second derivative of 1/5*p**5 - 2/3*p**4 - 9*p + 0 + 0*p**2 + 2/3*p**3. Factor g(h).
4*h*(h - 1)**2
Let p(f) be the second derivative of -4*f + 0*f**2 - 1/2*f**5 - 1/3*f**3 + 3/4*f**4 + 0 + 1/10*f**6. Factor p(g).
g*(g - 2)*(g - 1)*(3*g - 1)
Let i be (-5)/(-100)*(1 - -3). Determine k, given that 0*k + 0 + i*k**3 - 2/5*k**2 + 1/5*k**4 = 0.
-2, 0, 1
Let s(j) be the third derivative of -1/8*j**4 + 1/6*j**3 + 1/30*j**5 + 0*j + 0 - 4*j**2 + 1/60*j**6 - 1/70*j**7 + 1/336*j**8. Factor s(w).
(w - 1)**4*(w + 1)
Let t(b) = -b - 2. Let x be t(-5). Let w(h) be the first derivative of 0*h**2 + 0*h + 1/4*h**4 - 1 - 1/3*h**x. Factor w(v).
v**2*(v - 1)
Let t be 0/(-4 + 3) + 2. Let 2/9 - 2/3*f - 2/9*f**3 + 2/3*f**t = 0. What is f?
1
Find u, given that 1/5*u**2 + 2/5*u + 0 = 0.
-2, 0
Let v(c) be the second derivative of -c**4/6 + 4*c**3/3 - 3*c**2 + 10*c. Solve v(w) = 0 for w.
1, 3
Let -7 - 18*i**3 + 13 - 57*i + 12 + 60*i**2 - 6*i**4 + 3*i**5 = 0. What is i?
-3, 1, 2
Suppose 21 - 1 = 5*j. Suppose j*f = -f. Solve 2/5*b**2 - 1/5 - 1/5*b**4 + f*b**3 + 0*b = 0 for b.
-1, 1
Suppose g - 4 = -3*t, -5*t - 2*g - 5 = 2*g. Suppose t*n = -n + 16. Let -5*r**3 - r**2 - r**5 - 3*r**n + r**3 + r**3 = 0. What is r?
-1, 0
Let c(n) = 2*n**2 - 4*n + 4. Let d(b) = 8*b**2 - 15*b + 16. Let s(i) = -9*c(i) + 2*d(i). Let s(r) = 0. Calculate r.
1, 2
Let d(r) = -r**2 - 6*r + 7. Let w be d(-7). Let k be (0 - (-1 - 1)) + w. Find n such that 5*n**k + n**2 - 4*n**2 - 1 - n**4 = 0.
-1, 1
Let b = -3 + 6. Let p(v) be the first derivative of 252/25*v**5 + 24/5*v**b - 4/5*v**2 - 49/15*v**6 + 0*v + 1 - 109/10*v**4. Factor p(k).
-2*k*(k - 1)**2*(7*k - 2)**2/5
Let q be 14/18 - (-4)/18. Let d be q/(-2) + 7/2. Factor -2*o**3 - o**4 + 0*o**3 - 2*o**5 - d*o**4.
-2*o**3*(o + 1)**2
Let o be -2 + 3 - -3 - 2. Factor 0*n + 2/5*n**o + 0.
2*n**2/5
Let d(f) be the second derivative of -f**7/56 - f**6/20 + 3*f**5/40 + f**4