, -b = 4*k. Let j(h) be the first derivative of 4/7*h**2 + 9/7*h**4 - 4/7*h**5 + b*h - 5 + 2/21*h**6 - 4/3*h**3. Solve j(y) = 0.
0, 1, 2
Let w = 3905 + -3902. Suppose 6/7*z + 2/7 - 6/7*z**w - 2/7*z**2 = 0. Calculate z.
-1, -1/3, 1
Factor 12 - 20/3*l - 17/3*l**2 + 1/3*l**3.
(l - 18)*(l - 1)*(l + 2)/3
Let w = 14475 + -14473. Suppose -5*i - 2*c + 14 = -4*c, c + 9 = 3*i. Suppose -w*z + i + 1/4*z**2 = 0. What is z?
4
Let y(t) = -7*t**3 - 35*t**2 + 72*t + 15. Let k(j) = -30*j**3 - 141*j**2 + 288*j + 63. Let d(h) = 5*k(h) - 21*y(h). Find b such that d(b) = 0.
0, 4, 6
Let d be 3/2 + -12 + 12. Let u(z) be the first derivative of -4 - 3*z + d*z**4 + 6*z**2 - 5*z**3. Solve u(n) = 0 for n.
1/2, 1
Determine j so that -51/2 - 3/2*j**2 + 27*j = 0.
1, 17
Let q(o) be the second derivative of -2/3*o**2 + 8/9*o**4 - o + 3/10*o**5 + 5/9*o**3 + 0. Factor q(k).
2*(k + 1)**2*(9*k - 2)/3
Let y(k) = -2*k - 25. Let f be y(-17). Let b be (-10)/8*(f - 13). What is p in b*p - p + 3*p**2 - 7*p**2 = 0?
0, 1
Suppose -41 = -2*r - 2*r - 3*l, 5*r - 3*l - 31 = 0. Suppose -y = r*y - 18. Suppose 12/5*n + 9/5 - 6/5*n**y - 12/5*n**3 - 3/5*n**4 = 0. What is n?
-3, -1, 1
Let o(j) be the third derivative of j**5/60 + 13*j**4/12 + 169*j**3/6 - 349*j**2. Factor o(d).
(d + 13)**2
Suppose -3*l + 12 = 3*h, 12 = -5*h - l + 16. Determine q, given that 1/5*q**2 + h*q + 1/5*q**3 + 0 = 0.
-1, 0
Let a(h) be the third derivative of -h**5/30 + 5*h**4/6 - 25*h**3/3 - h**2 + 442*h. Find c such that a(c) = 0.
5
Factor -2448*t**2 + 29*t**3 + 27*t**3 - 3*t**4 - 12288 - 14592*t - 203*t**3.
-3*(t + 1)*(t + 16)**3
Factor -1/4*d**4 + 0*d**2 + 0*d + d**3 + 0.
-d**3*(d - 4)/4
Let r be -3*(-1 - (-1 + 1)). Suppose 0 = r*n + 3 - 9. Factor -2*t - 4*t**2 + n*t**5 - 4*t**4 + 8*t**4 + 0*t**5.
2*t*(t - 1)*(t + 1)**3
Let b(g) be the first derivative of -3*g**5/5 + 7*g**4/5 - 11*g**3/15 - g**2/5 + 77. Suppose b(q) = 0. Calculate q.
-2/15, 0, 1
Let m(c) = 3*c**3 + c**2 - c. Let o(h) = 42*h**3 - h**2 - 50*h - 3. Let u(k) = -4*m(k) - o(k). Suppose u(g) = 0. What is g?
-1, -1/18, 1
Let t(y) be the second derivative of y**6/1800 + y**5/150 + y**4/40 - 3*y**3/2 - 14*y. Let g(o) be the second derivative of t(o). Factor g(v).
(v + 1)*(v + 3)/5
Let o = -628/63 + 91/9. Let d(v) be the second derivative of 0 + o*v**3 + v + 1/42*v**4 + 2/7*v**2. Solve d(y) = 0.
-2, -1
Let j(y) be the first derivative of 80/3*y + 55/3*y**4 + 160/3*y**3 + 7/3*y**5 + 200/3*y**2 - 8. Factor j(l).
5*(l + 2)**3*(7*l + 2)/3
Let i(w) be the second derivative of w**4/3 + 544*w**3/3 + 36992*w**2 - 263*w. Factor i(v).
4*(v + 136)**2
Suppose -717 = -5*t + 883. Let j be -1 - (t/(-12))/10. Find u such that 10/3*u**3 - j*u + 5/3 + 5/3*u**4 - 10/3*u**2 - 5/3*u**5 = 0.
-1, 1
Let o(h) be the first derivative of h**5/35 + h**4/7 + 2*h**3/7 + 2*h**2/7 + h/7 + 75. Factor o(x).
(x + 1)**4/7
Let z be (-249 - 4/(-4)) + -1. Let h be 1/((-3)/z) + -3. Factor 40*i + 2*i**2 + 0*i**2 + 0*i**2 + h + 3*i**2.
5*(i + 4)**2
Let y(l) be the first derivative of -l**4/4 + l**3/3 + l**2 + 2*l - 6. Let p be y(2). Factor 4*v**p + 5*v + 8*v - 17*v - 8.
4*(v - 2)*(v + 1)
Let a be (-58)/40 - 4/(32/(-12)). Let k(p) be the third derivative of 0*p - 4*p**2 + 0 + a*p**5 - 1/2*p**4 + 2*p**3. What is b in k(b) = 0?
2
Factor -260*q**2 + 120*q + 190*q**5 - 86*q**3 - 185*q**5 - 55*q**4 + 276*q**3.
5*q*(q - 6)*(q - 2)**2*(q - 1)
Let g(p) be the second derivative of p**7/126 - p**6/90 - p**5/60 + p**4/36 - 3*p - 65. Factor g(v).
v**2*(v - 1)**2*(v + 1)/3
Let z(l) be the third derivative of l**5/30 + 17*l**4/12 - 38*l**3/3 - 594*l**2. Let z(d) = 0. Calculate d.
-19, 2
Let j(m) be the first derivative of 7*m**5 - 115*m**4/4 - 95*m**3 - 85*m**2/2 + 50*m + 94. Factor j(c).
5*(c - 5)*(c + 1)**2*(7*c - 2)
Let t(d) be the first derivative of -2*d**6/3 - 12*d**5/5 + 4*d**4 - 83. Suppose t(n) = 0. Calculate n.
-4, 0, 1
Let u(w) = w**3 - 9*w**2 + 8*w + 2. Let a be u(8). Solve 8 + 1 + 7 + 16*b + 5*b**2 - b**a = 0.
-2
Let j(a) be the second derivative of -3*a**5/160 + 3*a**4/16 + a**3/4 - 9*a**2/2 + a + 428. Factor j(d).
-3*(d - 6)*(d - 2)*(d + 2)/8
Let h(v) be the second derivative of 0 + 1/8*v**3 + 0*v**4 + 30*v - 1/4*v**2 - 1/80*v**5. Factor h(i).
-(i - 1)**2*(i + 2)/4
Let i(v) be the first derivative of v**3/3 + 4*v**2 + 7*v + 78. Suppose i(f) = 0. Calculate f.
-7, -1
Let r(y) be the first derivative of 0*y - 1/22*y**4 + 1/11*y**2 + 1 + 0*y**3. Solve r(a) = 0 for a.
-1, 0, 1
Let d(x) be the second derivative of -x**6/60 + x**4/12 + x**2/2 - 7*x. Let h(k) be the first derivative of d(k). Suppose h(m) = 0. Calculate m.
-1, 0, 1
Let g(a) = a + 25. Let n be g(-21). Suppose -4 = -6*c + 4*c. Solve n - 1 - l - 4 - l**c + 3 = 0.
-2, 1
Let n(m) = 37*m + 522. Let w be n(-14). Let -8/13*j**2 - 8/13*j**w + 2/13*j + 0 + 2/13*j**5 + 12/13*j**3 = 0. What is j?
0, 1
Factor 2*v**4 - 1 + 11/2*v - 1/2*v**3 - 6*v**2.
(v - 1)**2*(v + 2)*(4*v - 1)/2
Let p(l) be the second derivative of 0 + 1/5*l**5 - 1/6*l**3 + 0*l**2 - 1/4*l**4 - 21*l. Suppose p(t) = 0. What is t?
-1/4, 0, 1
Suppose 4*q + 48*q + 46*q = -28*q. What is r in 0*r - 1/9*r**4 - 4/9*r**2 + q - 4/9*r**3 = 0?
-2, 0
Let q be 12/5 - (1 + 1). Suppose 6*r - 5*r = -2*c + 7, 3*c + 6 = 4*r. Factor -14/5*m**c - q + 6/5*m**3 + 2*m.
2*(m - 1)**2*(3*m - 1)/5
Let s(w) = -w**2 + 5*w + 3. Let a be s(5). Suppose 9 - 3 = a*c. Factor -2*x**2 - x**c - x + 3*x + x**4.
x*(x - 1)**2*(x + 2)
Let -48 - 12*n - 3/4*n**2 = 0. What is n?
-8
Suppose -4*v + 2*c + 2*c - 28 = 0, -1 = -5*v - 4*c. Let y = -2 - v. Let -y + 4 + a**3 - 4 - a + a**2 = 0. What is a?
-1, 1
Suppose 0 = t + 5, h + 4*h = -2*t. Solve -110 + 40*w**h - 146 + 25*w + 58 + 5*w**3 - 52 = 0.
-5, 2
Let l be 4 + ((-29)/(-6))/(64/(-48)). Factor 15/8*z**3 + 1/2*z**4 - 1/4 + l*z + 2*z**2.
(z + 1)**2*(z + 2)*(4*z - 1)/8
Let b(w) be the second derivative of -11*w**9/3024 + w**8/672 - w**4/3 - 46*w. Let v(o) be the third derivative of b(o). Factor v(z).
-5*z**3*(11*z - 2)
Let x be (-26)/(-36) + (-100)/450. Let y(m) be the second derivative of 2*m + x*m**3 + 1/12*m**4 + m**2 + 0. Factor y(v).
(v + 1)*(v + 2)
Let h be (-4)/14 + 99/(-21). Let l(p) = -p - 3. Let u be l(h). Factor -2*k**u - 31 + 5*k**2 + 28.
3*(k - 1)*(k + 1)
Let l be 54/36 - 1/2. Let f(o) = 10*o - 6. Let z be f(l). Suppose -4/7*v**2 + 6/7*v**z + 2/7*v**5 - 2/7 - 6/7*v + 4/7*v**3 = 0. Calculate v.
-1, 1
Factor 0*h**3 + 0*h + 6/17*h**4 + 2/17*h**5 - 8/17*h**2 + 0.
2*h**2*(h - 1)*(h + 2)**2/17
Factor -2*x**2 + 4/3*x**3 + 8/9*x - 2/9*x**4 + 0.
-2*x*(x - 4)*(x - 1)**2/9
Let r(g) be the third derivative of 0*g**3 + 1/168*g**4 + 0 + 0*g - 1/840*g**6 + 7*g**2 + 0*g**5. Find v such that r(v) = 0.
-1, 0, 1
Determine g, given that -1/8*g**5 + 1/2*g - 3/8*g**3 - 1/2*g**2 + 0 + 1/2*g**4 = 0.
-1, 0, 1, 2
Let t(k) = -k**2 - 5*k + 4. Let n(a) = a**2 + 6*a - 5. Let v be n(-6). Let s be t(v). Determine f so that 6*f**5 - 2*f**5 - f**5 + 3*f**s = 0.
-1, 0
Suppose o + 2*x + 3 = 2, -5*x - 16 = o. Let u = -5 + o. Solve -29*y**3 - 3*y**5 - 3*y**4 + 29*y**3 + 6*y**u = 0 for y.
0, 1
Let z(c) be the second derivative of -c**6/135 - 2*c**5/15 - 11*c**4/27 + 28*c**3/9 - 49*c**2/9 + 14*c + 3. Factor z(v).
-2*(v - 1)**2*(v + 7)**2/9
Let j(f) be the first derivative of -2*f**3/3 + 72*f**2 + 146*f + 329. Find o, given that j(o) = 0.
-1, 73
Let l(i) be the second derivative of 1/8*i**4 + 1/84*i**7 - 1/6*i**3 - 1/20*i**6 - 30*i + 1/40*i**5 + 0 + 0*i**2. Factor l(z).
z*(z - 2)*(z - 1)**2*(z + 1)/2
Let j(q) = 2*q**2 + 4*q - 1. Let f be j(-3). Suppose 2*l = -f*t + 5 + 5, -l - 4 = -2*t. Factor 3*h - 12*h**2 + 9*h**3 + 0 + l - 3*h**4 + 3*h**2.
-3*h*(h - 1)**3
Let l = -236 + 236. Let p(a) be the third derivative of 1/60*a**4 + 1/15*a**3 + 6*a**2 - 1/75*a**5 + l*a + 0. Let p(j) = 0. What is j?
-1/2, 1
Let r(v) = -12*v**5 + 12*v**4 + 16*v**3 - 8*v**2 + 4*v - 4. Let j(x) = -x**5 + x**4 + x**3 + x - 1. Suppose -o + 30 = 22. Let h(f) = o*j(f) - r(f). Factor h(y).
4*(y - 1)**3*(y + 1)**2
Let 2*b + 0 + 1/4*b**2 = 0. Calculate b.
-8, 0
Let j(o) = o**3 + 18*o**2 - 21*o - 36. Let i be j(-19). Determine t so that -2/3*t**3 - 32/3 - 16*t - 6*t**i = 0.
-4, -1
Let g(z) be the third derivative of z**6/540 + z**5/90 - z**4/12 + 5*z**3/27 - 232*z**2. Factor g(o).
2*(o - 1)**2*(o + 5)/9
Let v(q) be the first derivative of -q**9/2016 +