q**5/3 + 5*q**4/24 + q**3 - 8*q**2 + 215. Find y such that k(y) = 0.
-3, -1, -1/5, 2/9, 1
Let i(r) = r**2 - r - 6. Let w be i(3). Suppose -5*m - 3*p = -15, w*m - p + 15 = 5*m. Factor 7*t**2 - 4 + 3*t + m - 3 - 6*t**2.
(t - 1)*(t + 4)
Let w be (32/20)/(2/5). Suppose -w*b = b. Solve 4*z**4 + 0*z**3 - 2*z**2 - z**5 + b*z**4 - 2*z**5 + z**3 = 0 for z.
-2/3, 0, 1
Let q = 192 + -181. Find a such that -12*a**5 - 6*a**3 - 12*a**4 + 12*a**2 + 10*a**5 - 3*a + q*a**5 = 0.
-1, 0, 1/3, 1
Factor -50*o - 2/5*o**3 + 308/5 - 56/5*o**2.
-2*(o - 1)*(o + 7)*(o + 22)/5
Let o be (54/45)/(-3 + (-85)/(-25)). Let x be (11/44)/(o/256). What is c in -x*c - 140/3*c**4 - 16/3 + 12*c**2 + 184/3*c**3 = 0?
-2/5, -2/7, 1
Let q(n) = 5*n**2 + 18*n + 4. Let a(p) = 2007*p - 1 - 2008*p + 2. Let y(v) = -4*a(v) - q(v). Factor y(o).
-(o + 2)*(5*o + 4)
Suppose t + 34 = 55. Find f such that -99*f**2 - 14 + 31 - 12*f**4 + t*f**2 + 19 - 64*f**3 - 11*f**3 + 129*f = 0.
-4, -3, -1/4, 1
Determine k so that -6156*k**3 - 235934*k**2 + 17397 + 743436*k - 166393 - 16*k**4 - 352334*k**2 = 0.
-193, 1/4, 1
Let u(o) = 18*o**3 + 8581*o**2 - 17181*o + 8589. Let p(l) = 16*l**3 + 8582*l**2 - 17182*l + 8590. Let g(m) = 7*p(m) - 6*u(m). Factor g(w).
4*(w - 1)**2*(w + 2149)
Let m(i) be the third derivative of 8*i**7/105 + 161*i**6/75 - 1401*i**5/100 + 769*i**4/24 - 95*i**3/3 - 67*i**2 - 7. What is t in m(t) = 0?
-19, 2/5, 5/4
Suppose 5*y + 2*l - 18 = 0, 0 = -3*y + 3*l + 291 - 297. Factor 2*g**y + 15/4*g**3 + 1/4*g**5 + 0 - 4*g - 2*g**4.
g*(g - 4)**2*(g - 1)*(g + 1)/4
Find f, given that 369/5*f**2 + 252/5 - 1/5*f**4 - 563/5*f - 57/5*f**3 = 0.
-63, 1, 4
Let x(f) = f**2 - 404*f + 5463. Let s be x(14). Suppose 52/5*j**s + 2/5*j**5 - 54/5*j + 18/5*j**4 + 36/5*j**2 - 54/5 = 0. What is j?
-3, -1, 1
Let k(g) = 15*g**2 - 5. Let y(i) = i + 10 - 2*i**2 - 8 - 5*i**2. Let u(w) = 2*k(w) + 5*y(w). Factor u(f).
-5*f*(f - 1)
Let k(i) be the second derivative of 133*i + 343/15*i**5 + 49/3*i**4 + 2/3*i**2 + 14/3*i**3 + 0. Factor k(a).
4*(7*a + 1)**3/3
Let n(k) = -k**4 - k**2 - 1. Suppose 0 = -8*z + 68 - 52. Let g(o) = -6*o**4 + 3*o**3 - 10*o**2 - 7*o - 1. Let p(v) = z*g(v) - 14*n(v). Solve p(x) = 0.
-3, -2, 1
Let n = 1182647/15 + -78843. Find r, given that -n*r**2 + 2/5 + 4/15*r = 0.
-1, 3
Suppose -5*s = w + 6 - 20, 0 = 5*w - 3*s - 42. Let m be ((-14)/105*w)/(-3). Factor -1/5*d**3 - 1/5*d - m*d**2 + 0.
-d*(d + 1)**2/5
Let w be -1 - -11 - (-5 + 6 - -5). Solve 9*p**4 - 142*p**3 - 950*p**2 - 1298*p - 660 - 15*p**w + 176 = 0.
-11, -1, -2/3
Suppose -2*r = 2*l + 2, 3*r - l = r + 7. Let c(f) be the first derivative of -4*f**2 + f**4 - 6*f**r + 14*f**2 - 20 - 6*f**2. Suppose c(g) = 0. Calculate g.
-1, 0, 1
Let o = 84 - 81. Factor -3*l**5 - 14*l**4 + 98*l**o - 14*l**4 + 5*l**5.
2*l**3*(l - 7)**2
Let x(w) be the second derivative of w**6/120 - 3*w**5/40 + 11*w**3/3 + 42*w. Let t(f) be the second derivative of x(f). Determine l, given that t(l) = 0.
0, 3
Let 0*k + 0 - 4/3*k**3 - 2/9*k**4 + 14/9*k**2 = 0. Calculate k.
-7, 0, 1
Let p(d) = -118*d + 56*d + 25 + 55*d + d**2. Let x(l) = l. Let t(z) = -4*p(z) + 12*x(z). Suppose t(y) = 0. What is y?
5
Let 19/3*i**2 + 4/3*i**3 + 0 + 14/3*i - 1/3*i**4 = 0. Calculate i.
-2, -1, 0, 7
Let c(i) = -30*i**2 + 35*i + 30. Let x(s) = -s**3 + s. Let q be x(2). Let l(d) = 78*d - 5*d**2 - 153*d + 2 + 81*d + 3. Let g(m) = q*c(m) + 35*l(m). Factor g(a).
5*(a - 1)*(a + 1)
Suppose 0 = 2*u + 3*u - 15. Factor 999*q + 1206*q + 54*q**4 - u*q**5 - 78*q**3 - 168*q**2 + 2058 - 180*q**3.
-3*(q - 7)**3*(q + 1)*(q + 2)
Let r(b) = 2*b**2 - b - 1. Let w be (-3)/(51/(-15) + 4). Let m(l) = -13*l**2 - 13*l - 19. Let q(k) = w*r(k) - m(k). Suppose q(u) = 0. Calculate u.
-4, -2
Let c be (1 - 2)*(-4)/24*3. Let i be ((-3)/(-1))/(243/162). Factor -d + 0 + c*d**i.
d*(d - 2)/2
Factor -2/5 + 8/5*r**3 - 2/5*r**4 + 8/5*r - 12/5*r**2.
-2*(r - 1)**4/5
Suppose -3*a + i = -101, 21*i - 19*i = -4. Suppose a = 22*z - 33. Factor 0*n + 0 - 3/10*n**2 + 1/10*n**z.
n**2*(n - 3)/10
Factor -389*c - 427*c + 6*c**2 - 2*c**2 + 155 - 1803.
4*(c - 206)*(c + 2)
Let o(k) be the first derivative of -1/15*k**5 + 0*k - 5/12*k**4 - 1/2*k**2 - 162 - 7/9*k**3. Find l such that o(l) = 0.
-3, -1, 0
Let l be 10*68/8*4/(-5). Let q be (-119)/l - 2/(-8). Factor 0 - 15/7*i - 3/7*i**q.
-3*i*(i + 5)/7
Let q = 14466 + -14440. Let z(o) be the third derivative of -1/20*o**5 + 2*o**3 + q*o**2 + 0 + 3/8*o**4 + 0*o. Factor z(i).
-3*(i - 4)*(i + 1)
Let x = -170 - -245. Suppose -26*k = -k - x. Let 0*f + 0*f**4 - 1/2*f**5 + 0 + 3/2*f**k - f**2 = 0. Calculate f.
-2, 0, 1
Let c = 6071 - 103291/17. Let h = c + 185/34. Factor h - 1/2*f**2 + 0*f.
-(f - 1)*(f + 1)/2
Suppose j - 12 = -2*w, 7343 = 3*w + 2*j + 7322. Factor -1/3*d + 1/3*d**w + 2/3*d**2 - 2/3.
(d - 1)*(d + 1)*(d + 2)/3
Let m(j) = -j**2 - 19*j - 49. Let u be m(-16). Let y be 6*u*(-4)/12. Factor 0 - 1/3*d**y + d.
-d*(d - 3)/3
Suppose -5*k = u + 4*u - 435, -4*u + 263 = 3*k. Suppose 0 = k*v - 123 - 47. Find s, given that 9/7*s - 3*s**v + 12/7 = 0.
-4/7, 1
Suppose -232 + 187 = 16*v - 109. Determine h so that 56/3*h**2 + 16/3*h - 4/3*h**3 - v*h**4 - 32/3 = 0.
-2, -1, 2/3, 2
Factor 0 + 78*p - 1/7*p**2.
-p*(p - 546)/7
Factor 0 - 1916/3*l + 2/3*l**2.
2*l*(l - 958)/3
Let j(o) be the first derivative of 16/3*o + 4/9*o**3 - 247 - 8/3*o**2. Find x, given that j(x) = 0.
2
Solve 613/11*a + 307/11 - 2/11*a**2 = 0 for a.
-1/2, 307
Let m(t) be the second derivative of 0 + 0*t**2 - 2*t**3 - 2*t**4 - 7/10*t**6 + 57/20*t**5 + 168*t. Factor m(o).
-3*o*(o - 2)*(o - 1)*(7*o + 2)
Let w be 0 - 3 - (1169/(-84) + 8). Let j(l) be the first derivative of 16 - w*l**3 - 45/8*l**2 - 5/2*l. Factor j(p).
-5*(p + 1)*(7*p + 2)/4
Let w be 12/(-15) - 32/(-40). Let c(z) be the third derivative of 0*z + 0*z**3 - 1/60*z**5 - 17*z**2 - 3/8*z**4 + w. Factor c(y).
-y*(y + 9)
Let r = -6054 - -6054. Let p(a) be the first derivative of 18 - 1/2*a**4 + 2/3*a**3 + r*a**2 + 0*a + 3*a**6 - 18/5*a**5. What is u in p(u) = 0?
-1/3, 0, 1/3, 1
Let h = 186083/561 + -995/3. Let o = h - -911/748. Solve -3*q**2 - o + 7/2*q + 1/4*q**4 + 1/2*q**3 = 0.
-5, 1
Let n(c) be the third derivative of c**8/168 + 16*c**7/315 - c**6/5 - c**5/45 + 11*c**4/12 - 14*c**3/9 - 5*c**2 - 115*c. Solve n(k) = 0.
-7, -1, 2/3, 1
Let a = -4839/70 - -484/7. Let b(d) be the second derivative of 0*d**6 - 1/42*d**3 + 0*d**2 + 0 - 9*d + a*d**5 - 1/294*d**7 + 0*d**4. Factor b(h).
-h*(h - 1)**2*(h + 1)**2/7
Suppose 7*n + 4 = 11*n. Let d(w) = w**2 + 1. Let u(g) = -2*g**3 + 10*g**2 - 10*g + 6. Let l(j) = n*u(j) - 2*d(j). Solve l(i) = 0.
1, 2
Suppose 0 = -10*r + 5*r + 15. Suppose -10*i + r*h + 365 = -5*i, -25 = -5*h. Factor 3*f**3 - 5*f**3 + i*f**4 - 2*f**3 + 5*f**2 - 77*f**4.
-f**2*(f - 1)*(f + 5)
Let n(y) = -11*y**3 + 160*y**2 - 28*y - 664. Let k(i) = -4*i**3 + 53*i**2 - 11*i - 221. Let b(w) = 8*k(w) - 3*n(w). Solve b(l) = 0 for l.
-2, 2, 56
Suppose 1512*l - 1428*l - 252 = 0. Let g(n) be the first derivative of 4/5*n + 0*n**2 + 31 + 4/25*n**5 - 8/15*n**l + 0*n**4. Solve g(k) = 0.
-1, 1
Let b(g) = g**2 + 16*g + 72. Let i be b(-6). Let -8 + i*o + 53*o**2 - 9*o**2 + 24*o = 0. Calculate o.
-1, 2/11
Let q(p) = -2*p**2 + 361*p + 5. Let f(y) = -4*y**2 + 532*y + 8. Let w(z) = 5*f(z) - 8*q(z). What is v in w(v) = 0?
-57, 0
Let w be (-4 - 1)/((-1)/2). Suppose 0 = 5*z + 25, 0 = 2*s + 2*z + 2*z + w. Factor 13*x + 40*x**2 + x - s*x**5 + 21*x + 10 - 10*x**4 + 10*x**3.
-5*(x - 2)*(x + 1)**4
Let h(r) be the second derivative of 66*r + 3/4*r**5 + 1/2*r**4 + 2/5*r**6 + 0 + 1/14*r**7 + 0*r**2 + 0*r**3. Find d such that h(d) = 0.
-2, -1, 0
Let c be 10/4*1020/510. Let m(h) be the third derivative of 0 - 24*h**2 + 1/300*h**c + 0*h + 1/5*h**4 + 24/5*h**3. Solve m(u) = 0.
-12
Let z = -371 + 4. Let h = 370 + z. Factor 0 - 3/2*a**h + 0*a - 3/8*a**2 - 9/8*a**4.
-3*a**2*(a + 1)*(3*a + 1)/8
Suppose 13702*n - 203*n**3 - 27*n**5 + 174*n**4 - 330*n**2 - 13538*n + 48 + 42*n**2 = 0. What is n?
-1, -2/9, 2/3, 3, 4
Suppose -6426 = 2*b - 3*g, -b - 8*g = -9*g + 3213. Let l be b/(-90) - (-6)/20. Factor -3/2*a**5 - l*a**2 + 0 - 27/2*a - 33*a**3 - 12*a**4.
-3*a*(a + 1)**2*(a + 3)**2/2
Let v = -17394 - -86971/5. Solve 0*f + v*f**2 + 0 = 0 for f.
0
Let a be ((-16)/6 - -4)*(-3)/2. Let x be a + (-39)/(-1 - 2). Factor 273*h**2 + 157*h**3 + 242*h**3 + 60*h - 