.
-1/3, 0, 1, 2
Let y be -2*2/4*-5. Suppose -12 - 13 = -y*b. Factor -3*l - 2 + 0*l**3 + l**3 + b*l**2 - 5*l**2.
(l - 2)*(l + 1)**2
Suppose -15*s - 3519 + 3579 = 0. Let 15/2*i - 11/8*i**2 + 1/8*i**s + 25/2 - 3/4*i**3 = 0. What is i?
-2, 5
Let n be -1*(-8)/(-12) - (-35)/3. Let q(v) = 5*v**2 + 40*v + 74. Let b(c) = 10*c**2 + 80*c + 149. Let u(g) = n*q(g) - 6*b(g). Factor u(z).
-5*(z + 4)**2
Let l(i) = -43*i. Let c be l(0). Factor -4/5*m**3 + c - 4/5*m + 8/5*m**2.
-4*m*(m - 1)**2/5
Suppose 2*f = 3*f. Suppose -2*i + 13 = -5*z, -z - 3*z - 4 = f. Factor 4/3*v**i + 4/3*v**3 - 8/3*v**2 + 0 + 0*v.
4*v**2*(v - 1)*(v + 2)/3
Let o(r) be the second derivative of 0 + 1/30*r**6 + 0*r**3 - 1/84*r**7 + 0*r**2 - 1/12*r**4 - 8*r + 1/40*r**5. Find f such that o(f) = 0.
-1, 0, 1, 2
Suppose -8559 = f + 8*f. Let p = -10453/11 - f. Let 8/11*t**4 - 2/11*t + p*t**2 - 12/11*t**3 + 0 - 2/11*t**5 = 0. Calculate t.
0, 1
Let m(l) be the second derivative of -l**7/252 + l**6/60 + l**5/30 - 205*l - 2. Find i, given that m(i) = 0.
-1, 0, 4
Let v(g) be the first derivative of 15*g**4 - 16*g**4 - 2*g**3 + 1 - 2*g**3. Factor v(d).
-4*d**2*(d + 3)
Let t(x) be the second derivative of x**5/4 - 20*x**4/3 + 145*x**3/6 - 35*x**2 - 112*x. Factor t(o).
5*(o - 14)*(o - 1)**2
Let k(s) be the first derivative of -s**5/40 + s**4/8 + s**3/12 - 3*s**2/4 - s - 18. Let q(f) be the first derivative of k(f). Suppose q(v) = 0. What is v?
-1, 1, 3
Let m(t) be the third derivative of 4*t**2 + 0*t**4 + 1/3*t**3 + 0 + 0*t - 1/30*t**5. What is y in m(y) = 0?
-1, 1
Let y = 12 - 12. Let h be (1/6)/(((-255)/20)/(-17)). Determine f, given that y*f - 2/3*f**2 + 8/9 - h*f**3 = 0.
-2, 1
Let f(d) be the third derivative of -1/672*d**8 + 0*d**4 + 0 + 0*d**3 + 0*d**5 + 0*d + 29*d**2 + 0*d**6 + 3/140*d**7. Factor f(z).
-z**4*(z - 9)/2
Let v = -3220/9 + 358. Let p(d) be the first derivative of -2/15*d**5 + 2/9*d**2 - 1/27*d**6 - 1/18*d**4 + v*d**3 - 8 + 0*d. Find t, given that p(t) = 0.
-2, -1, 0, 1
Let a(v) be the first derivative of -v**4/6 + 4*v**3/3 + 7*v**2/3 - 77. Suppose a(s) = 0. Calculate s.
-1, 0, 7
Suppose g - 3*g - 2*o = 2, 5*g - 22 = 4*o. Suppose 0 = b, 1 = 3*f + g*b - 5. Solve 3*v + 8*v - 14*v + v**f = 0.
0, 3
Let h(t) be the first derivative of -t**5/100 + t**4/10 - 3*t**3/10 + 13*t**2 - 6. Let j(p) be the second derivative of h(p). Determine x, given that j(x) = 0.
1, 3
Let y(d) = 72*d**3 - 264*d**2 - 87*d - 22. Let a(x) = -36*x**3 + 132*x**2 + 44*x + 10. Let h(l) = 14*a(l) + 6*y(l). Factor h(t).
-2*(t - 4)*(6*t + 1)**2
Suppose -4*f + 14 = 503*g - 501*g, 5*g - 21 = 4*f. Find u, given that u**2 + g*u**4 - 2/3*u + 4/3*u**5 + 0 + 16/3*u**3 = 0.
-2, -1, 0, 1/4
Let y be ((0 - -3) + 217/(-56))*-6. Let h(a) = a**2 + 3*a. Let p be h(-3). Determine r so that 0 + 3/2*r**3 - y*r**4 + 0*r**2 + p*r = 0.
0, 2/7
Suppose 5*x = 3*h - 16, -620*x + 615*x - 12 = -h. Factor 72/5*a**h + 0*a - 48/5 - 48/5*a**3 + 9/5*a**4.
3*(a - 2)**3*(3*a + 2)/5
Let z(v) be the first derivative of v**3/6 - v**2/4 + v/8 + 202. Factor z(g).
(2*g - 1)**2/8
Let q = 2/86761 - -173516/260283. Factor 2/3*r + 0 + 2/3*r**2 - q*r**3 - 2/3*r**4.
-2*r*(r - 1)*(r + 1)**2/3
Let n(b) be the second derivative of 3/14*b**3 + 12*b + 0 - 3/14*b**2 - 3/28*b**4 + 3/140*b**5. Factor n(f).
3*(f - 1)**3/7
Let w(c) be the second derivative of -c**3 + 6*c + 0 + 7/18*c**4 + 2/3*c**2. Factor w(i).
2*(i - 1)*(7*i - 2)/3
What is u in -10*u**3 + 0 + 0*u - 2*u**5 + 2*u**2 + 17/2*u**4 = 0?
0, 1/4, 2
Let z be 1*104/(-152) + 2 + -1. Factor 2/19*q**3 + 0*q**2 - 4/19 - z*q.
2*(q - 2)*(q + 1)**2/19
Let g be (-381)/100 - -2 - 25/(-20). Let q = g + 148/175. Determine m, given that -q*m**3 - 4/7 - 8/7*m**2 - 10/7*m = 0.
-2, -1
Suppose -2*p**2 + 4*p**2 - 56 - 9*p - 106 + 3*p**2 - 2*p**2 = 0. What is p?
-6, 9
Let k(g) = 2*g**2 + 54*g + 306. Let i be k(-8). Let 0*c**i - 1/2*c**3 + 0 + 1/2*c = 0. Calculate c.
-1, 0, 1
Let x(z) = -z**3 - 5*z**2 + 1. Let j be x(-5). Let w be (2 + (-4)/j)/(400/(-75)). Factor -w*l**2 - 27/8 - 9/4*l.
-3*(l + 3)**2/8
Let y be (-172)/(-36) - 2/(-9). Let x(b) = -b**2 + 15. Let s be x(0). Determine v, given that -s - y*v**2 + 12*v**3 + 27 - 3*v**4 - 12*v - 4*v**2 = 0.
-1, 1, 2
Let j(p) = 35*p**3 + 140*p**2 - 560*p - 2240. Let s(l) = 5*l**3 + 20*l**2 - 80*l - 320. Let t(x) = -2*j(x) + 15*s(x). Factor t(m).
5*(m - 4)*(m + 4)**2
Factor -1/2*d**2 + 47/2 - 23*d.
-(d - 1)*(d + 47)/2
Let s(x) be the first derivative of -x**6/24 + x**5/12 - 13*x**2/2 + 2. Let p(j) be the second derivative of s(j). Let p(l) = 0. What is l?
0, 1
Factor -136/5 + 208/5*o + 2/5*o**3 - 74/5*o**2.
2*(o - 34)*(o - 2)*(o - 1)/5
Solve -3*d**4 + 90*d**3 + 1481 - 1481 = 0.
0, 30
Let d(i) = 113*i + 4536. Let x be d(-40). Solve -6*k - 14/5*k**5 - 20*k**3 + 4/5 + 12*k**4 + x*k**2 = 0.
2/7, 1
Let p(o) be the second derivative of -o**6/24 - o**5/12 + 5*o**4/24 + 5*o**3/6 + 5*o**2/2 + 9*o. Let x(k) be the first derivative of p(k). Factor x(y).
-5*(y - 1)*(y + 1)**2
Let a(q) be the second derivative of 3/2*q**2 - 1/9*q**3 + 1/24*q**4 + 2*q + 0*q**5 + 0 - 1/360*q**6. Let w(k) be the first derivative of a(k). Factor w(p).
-(p - 1)**2*(p + 2)/3
Let y be 15/(-84)*(-735)/70. Factor -3/2*c**4 + 0 + y*c**3 + 3/8*c**5 + 0*c - 3/4*c**2.
3*c**2*(c - 2)*(c - 1)**2/8
Let s(r) = 14*r**2 + 10*r + 12. Let t be (-11)/2 - (-11)/(-22). Let b be 4/t*45/10. Let c(q) = -5*q**2 - 3*q - 4. Let z(o) = b*s(o) - 8*c(o). Factor z(d).
-2*(d + 1)*(d + 2)
Let n(j) be the second derivative of 5*j**4/12 - 85*j**3/6 - 275*j**2 - 148*j - 3. Let n(g) = 0. What is g?
-5, 22
Let p = 433 - 423. Suppose -3*x - 3*c + 3 = 0, 1 + 2 = -x - 5*c. Factor g - p*g**2 - g + 8*g**x.
-2*g**2
Suppose 23 = -5*u + 38. Factor -u + 85*r**2 + 7 - r - 2*r - 86*r**2.
-(r - 1)*(r + 4)
Let p be 2/4 - (-9)/6. Suppose -s + p = -0. Factor 2*n**2 + 2*n**3 + n**5 + n**5 - s - 3*n + 3 - 3*n**4 - n**5.
(n - 1)**4*(n + 1)
Let w be (-2)/8 + (-5)/(-20). Let c = -1894 - -1898. Factor 0 - 2/7*x**c + 6/7*x**2 + 4/7*x + w*x**3.
-2*x*(x - 2)*(x + 1)**2/7
Let x(y) be the third derivative of y**8/84 + 4*y**7/105 - y**6/5 - 4*y**5/3 - 19*y**4/6 - 4*y**3 - 17*y**2 - 2. Factor x(u).
4*(u - 3)*(u + 1)**3*(u + 2)
Let j(t) = 3*t**2 + 15*t + 6. Let v(i) = -3*i**2 - 16*i - 10. Let l(n) = 1. Let m(w) = 5*l(w) + v(w). Let s(p) = 4*j(p) + 3*m(p). Factor s(u).
3*(u + 1)*(u + 3)
Let i(t) be the second derivative of -t**7/4 + 2*t**6/3 - 7*t**5/20 - t**4/3 + t**3/4 - 77*t. Find p, given that i(p) = 0.
-3/7, 0, 1/3, 1
Let s(h) be the second derivative of h**5/5 + h**4 + 2*h**3 + 2*h**2 - 54*h. Determine j, given that s(j) = 0.
-1
Factor 1/4*p**2 - 19/2 - 17/4*p.
(p - 19)*(p + 2)/4
Suppose -3*s - 3*x = 3, 0 = -4*s - s + x + 25. Suppose -2*g + 6 = 4*h, 0 = s*h + h - 2*g - 12. Factor 10*z**3 - 22*z - 8*z**h - 4*z**2 + 24*z.
2*z*(z - 1)*(5*z - 1)
Let q = -35 + 45. Suppose -9*n + q + 8 = 0. Find h, given that 8/7*h**4 + 0 + 2/7*h**3 + 0*h**n + 0*h = 0.
-1/4, 0
Let q(w) be the second derivative of w**4/54 - 32*w**3/27 - 2*w - 37. Factor q(t).
2*t*(t - 32)/9
Let a(g) = -3*g + 45. Let y be a(10). Let t be (-30)/21*(-24)/y. Factor -t + 2/7*p**3 - 8/7*p + 4/7*p**2.
2*(p - 2)*(p + 2)**2/7
Let n(b) be the third derivative of -b**6/120 + 11*b**5/60 - b**4 - 6*b**3 - 2*b**2 + 239. Factor n(h).
-(h - 6)**2*(h + 1)
Let t(i) be the first derivative of i**6/21 + 18*i**5/35 + 13*i**4/7 + 68*i**3/21 + 3*i**2 + 10*i/7 - 81. Factor t(a).
2*(a + 1)**4*(a + 5)/7
Let m(u) be the first derivative of -u**3/21 + 24. Factor m(t).
-t**2/7
Let o(y) be the second derivative of y**4/54 + 8*y**3/27 - 9*y. Factor o(w).
2*w*(w + 8)/9
Determine n, given that -4/3*n**3 - 6020/3*n + 19600/3 + 296/3*n**2 = 0.
4, 35
Let r be (95/57)/(2/6). Factor 2*a**3 + 48*a + 32 + 4*a**2 + r*a**2 + 9*a**2.
2*(a + 1)*(a + 4)**2
Let j(a) be the second derivative of -a**4/20 + 21*a**3/5 - 1323*a**2/10 - 44*a + 1. Determine v so that j(v) = 0.
21
Let z(b) = b**4 - 1. Let f(p) = -18*p**5 - 72*p**4 - 128*p**3 - 64*p**2 - 12. Let r(v) = -f(v) + 12*z(v). Determine n so that r(n) = 0.
-2, -4/3, 0
Let h(k) be the first derivative of -k**5/15 - k**4/12 + 10*k**3/9 - 4*k**2/3 + 74. Factor h(w).
-w*(w - 2)*(w - 1)*(w + 4)/3
Let -21/2*h**3 + 57/2*h**2 + 0 + 9*h = 0. Calculate h.
-2/7, 0, 3
Let r(p) be the first derivative of -p**6/3240 - p**5/216 - p**4/5