t**3 = 0 for t.
1/3, 28
Let i = 18507/4 - 9253/2. Find w, given that 1/2*w**2 - 1/2*w**4 - i*w + 0 - 3/4*w**5 + w**3 = 0.
-1, 0, 1/3, 1
Suppose 0 = -10*x + 72 - 12. Let n(r) be the first derivative of 1/6*r**2 + 13/18*r**3 + 0*r + 1 + 9/8*r**4 + 23/30*r**5 + 7/36*r**x. Factor n(o).
o*(o + 1)**3*(7*o + 2)/6
Suppose 2*j = 5*m + 4, 5*m - m = -2*j + 4. Let y(n) be the first derivative of -4/5*n - 3/5*n**j - 2/15*n**3 - 3. Solve y(i) = 0.
-2, -1
Let w be ((-1)/(-2))/((-11)/(-44)). Determine c so that 4*c + 6 + 4*c + c + 3*c**w = 0.
-2, -1
Let q(f) = 5*f**4 - 25*f**3 - 7*f**2 + 27. Let t(r) = 2*r**4 - 12*r**3 - 4*r**2 + 12. Let u(n) = 4*q(n) - 9*t(n). Solve u(l) = 0.
-2, 0
Let a(j) be the third derivative of -j**5/20 - 5*j**4/2 + 21*j**3/2 + 225*j**2. Factor a(f).
-3*(f - 1)*(f + 21)
Suppose -g + h = -1 - 7, g + h = -2. Suppose 20*p - 5*p**4 - 8*p**g - 12*p**3 + 0*p**4 + 5*p**2 = 0. What is p?
-4, -1, 0, 1
Let j(x) = -3*x**4 + 4*x**3 + x**2 + 2. Let o(i) = 48*i**4 - 66*i**3 - 15*i**2 - 33. Let k(l) = -33*j(l) - 2*o(l). Factor k(n).
3*n**2*(n - 1)*(n + 1)
Let a(v) = v**2 + 38*v - 27. Let b(h) = -35*h + 25. Let u(i) = -5*a(i) - 6*b(i). Find x such that u(x) = 0.
1, 3
Let -21941 - 27537 - 5*b**2 + 1387*b - 487*b + 8978 = 0. What is b?
90
Let z(p) be the first derivative of 0*p - 47 + 5/13*p**2 + 2/39*p**3. Determine f so that z(f) = 0.
-5, 0
Let g(b) = b + 1. Suppose -5*t + 7*t = -6. Let d(y) = -y**2 + 2*y + 7. Let k(i) = t*d(i) + 12*g(i). Find x such that k(x) = 0.
-3, 1
Let b(a) be the first derivative of -a**4/2 - 4*a**3/3 + a**2 + 4*a - 32. Determine r so that b(r) = 0.
-2, -1, 1
Let n(l) be the first derivative of 3*l**4/8 - 15*l**3/2 + 141*l**2/4 - 99*l/2 - 1018. Find z, given that n(z) = 0.
1, 3, 11
Let t(g) be the third derivative of 0*g**3 + 0*g + 3/70*g**7 - 1/112*g**8 + 0*g**4 + 0*g**5 + 0 + 3*g**2 - 1/20*g**6. Find m such that t(m) = 0.
0, 1, 2
Factor -735*w**2 - 45*w**3 + 48 + 97 - 920*w - 456 + 11.
-5*(w + 15)*(3*w + 2)**2
Suppose -s + 3*t = -3*s + 52, 5*t + 68 = 2*s. Let o be s/5 + (7 - 12). Factor o*g - 2/5*g**2 + 0.
-2*g*(g - 2)/5
Let s(x) = x**2 - 49*x - 44. Let k(u) = -u**2 + 3*u + 1. Let w(g) = 10*k(g) + 5*s(g). Find c, given that w(c) = 0.
-42, -1
Suppose -7*x - 7 = -14*x. Let l(f) be the first derivative of -1/3*f**2 - x + 2/27*f**3 + 4/9*f. Factor l(z).
2*(z - 2)*(z - 1)/9
Let w(g) be the second derivative of -7/48*g**4 + 7/120*g**6 - 3/40*g**5 + 0 + 1/12*g**3 + 0*g**2 - 23*g + 1/42*g**7. Determine l, given that w(l) = 0.
-2, -1, 0, 1/4, 1
Let x(a) = a**3 - a**2 + 1. Let v(h) = -3*h**4 + 22*h**3 - 6 + 5*h**4 + 12 - 16*h + 8*h - 8*h**2. Let k(j) = -2*v(j) + 28*x(j). Solve k(t) = 0 for t.
-2, -1, 1
Factor 2/9*d**3 - 4 - 16/9*d**2 + 14/3*d.
2*(d - 3)**2*(d - 2)/9
Let h = -203 - -207. Let n(v) be the first derivative of 1 + 0*v**2 + 1/4*v**h + 1/3*v**3 + 0*v. Factor n(p).
p**2*(p + 1)
Let z be (1/3)/((-1)/(-18)) + -3. Let o be 6*(-3)/(-12) - 1. Factor 0*b - 1/2*b**z + 0 + 1/2*b**2 + o*b**5 - 1/2*b**4.
b**2*(b - 1)**2*(b + 1)/2
Let k(m) be the first derivative of 12 - 1/10*m**4 - 2/5*m - 3/5*m**2 - 2/5*m**3. Factor k(a).
-2*(a + 1)**3/5
Let g(l) be the third derivative of 3/2*l**3 + 1/4*l**5 - 1/40*l**6 + 0*l - 44*l**2 - 7/8*l**4 + 0. Factor g(k).
-3*(k - 3)*(k - 1)**2
Let s(b) = -b**3 - 2*b**2 - b - 1. Let a be s(-1). Let p(v) = -v**4 + v - 1. Let z(u) = -2*u**3 + 6*u**2 - 2. Let y(w) = a*z(w) - 2*p(w). Factor y(d).
2*(d - 1)**2*(d + 1)*(d + 2)
Let b = 8338 + -8335. Factor 1/2*y**2 - 1/4*y**b + 0*y + 0.
-y**2*(y - 2)/4
Let t(m) be the third derivative of -m**6/288 + 35*m**3/6 - 36*m**2. Let r(l) be the first derivative of t(l). Factor r(h).
-5*h**2/4
Let v(c) = -c**3 + 15*c**2 - 12*c - 21. Let f be v(14). Let q be ((-4)/(-3))/((-2)/(-3)). Factor 3*n - 3*n**q - n**2 - f*n.
-4*n*(n + 1)
Let z = -40 + 45. Suppose 0*h**4 + 5*h - 3*h**3 - 2*h + h**2 - h**4 - h + h**z = 0. Calculate h.
-1, 0, 1, 2
Suppose -5*m + 3*n = -37, -9 = 3*m - 4*m - n. Suppose t = -4*f + 10, -2*f - 4 = -m. Find y, given that 4/5*y - 2/5*y**t - 2/5 = 0.
1
Factor -576/17*w - 66/17*w**2 - 2/17*w**3 - 512/17.
-2*(w + 1)*(w + 16)**2/17
Let n(m) be the third derivative of 3*m**5/70 + m**4/8 + m**3/14 - 254*m**2. Factor n(y).
3*(y + 1)*(6*y + 1)/7
Let i(u) be the second derivative of u**4/90 + 332*u**3/45 + 27556*u**2/15 + 40*u + 9. Factor i(c).
2*(c + 166)**2/15
Let l(j) = -j**3 + 2*j**2 + j. Let t(y) = -3*y**3 + 90*y**2 + 93*y - 156. Let a(u) = 12*l(u) - t(u). Solve a(b) = 0.
-13/3, -4, 1
Let n be (-6)/18*3 + -1*1. Let u be (-5 - (-10 - -5))*(1 + n). Suppose 0*g**2 + u - 1/3*g**3 + 1/6*g**5 + 1/6*g + 0*g**4 = 0. Calculate g.
-1, 0, 1
Let o(w) be the third derivative of 1/12*w**4 - 1/105*w**7 - 1/90*w**6 + 0 - 1/504*w**8 + 0*w + 1/9*w**3 - 21*w**2 + 1/45*w**5. Factor o(u).
-2*(u - 1)*(u + 1)**4/3
Suppose 5698*r - 5703*r = -20. What is n in 20/3*n**5 + 17/3*n**r - 15*n**3 + 4/3*n + 4/3*n**2 + 0 = 0?
-2, -1/4, 0, 2/5, 1
Let c be (1 - 8/12)*6. Suppose -87 = -c*u + u + 4*y, u = 3*y + 82. Factor 9*w**4 - 3*w**3 + 46*w - 64 - 302*w + 19*w**4 - 96*w**2 + u*w**3.
4*(w - 2)*(w + 2)**2*(7*w + 2)
Factor -8 + 2/3*z**2 + 8/3*z.
2*(z - 2)*(z + 6)/3
Suppose 19 = 17*y + 19. Let i(f) be the third derivative of 0*f**6 - 1/210*f**7 + 1/60*f**5 + 0*f + 0*f**3 - 1/672*f**8 - f**2 + y + 1/48*f**4. Factor i(j).
-j*(j - 1)*(j + 1)**3/2
Suppose 56 = -3*m + 10*m. Suppose -m = 7*d - 8. Let -1/4*g**5 + 1/4*g**3 + d*g + 0*g**2 + 0 + 0*g**4 = 0. What is g?
-1, 0, 1
Factor -592704/5 + 1/5*y**3 - 252/5*y**2 + 21168/5*y.
(y - 84)**3/5
Let i(r) be the third derivative of r**7/350 - 3*r**6/100 - r**5/4 - 9*r**4/20 + 141*r**2 + r. Find u such that i(u) = 0.
-2, -1, 0, 9
Determine b so that 363*b**3 + 596*b**2 + 9*b**5 + 105*b**4 + 98 - 197*b - 65*b**2 + 545*b - 14 = 0.
-7, -2, -1, -2/3
Suppose 2*n - 8 + 0 = 0. Suppose 4*x = -4*k + 8, -n*k + 2*x = -8 - 0. Solve u**2 - u**2 + u**3 + 2*u**k + 0*u**2 = 0 for u.
-2, 0
Let k(j) be the second derivative of j**7/70 - j**6/75 - 3*j**5/50 + j**4/15 + j**3/10 - j**2/5 + 34*j. Let k(v) = 0. Calculate v.
-1, 2/3, 1
Let g(l) be the second derivative of 3/20*l**4 - 9/10*l**2 + 0 - 4/5*l**3 + 10*l. Determine q so that g(q) = 0.
-1/3, 3
Let y = -41756 + 41760. Let 94/5*m**2 - 8/5 + 8/5*m - 104/5*m**y + 32/5*m**3 + 32/5*m**5 = 0. What is m?
-1/2, 1/4, 2
Let y(f) be the second derivative of f**6/8 - 9*f**5/80 - 7*f**4/16 + 3*f**3/8 + 3*f**2/4 + 81*f. Determine w, given that y(w) = 0.
-1, -2/5, 1
Solve 20*u**3 + 36*u**2 + 2 + 28*u + 2 + 137*u**4 - 133*u**4 + 4 = 0 for u.
-2, -1
Let f(w) be the second derivative of -w**5/5 - 11*w**4/3 - 52*w**3/3 - 32*w**2 + 19*w - 1. Determine y, given that f(y) = 0.
-8, -2, -1
Let j(x) be the first derivative of 1/10*x**4 - 16/15*x**3 - 26 + 13/5*x**2 - 12/5*x. Determine b, given that j(b) = 0.
1, 6
Suppose 0 = 12*m + 8*m. Suppose 0*g = -g - m*g. Factor -2/5*a**5 + g*a**2 + 0*a**3 + 4/5*a**4 + 0*a + 0.
-2*a**4*(a - 2)/5
Let s = -603/491 - 104813/72177. Let k = -2/147 - s. Find a, given that -2*a**2 + 2/3*a**4 - k*a + 4/3*a**3 + 8/3 = 0.
-2, 1
Let p(z) = -5*z**2 - 16*z + 27. Let t(s) = 25*s**2 + 78*s - 136. Let h(n) = 11*p(n) + 2*t(n). Factor h(k).
-5*(k - 1)*(k + 5)
Suppose -25*i = -21*i - 48. Solve -5*b + 9*b**2 + b**2 - i + 5*b + 26*b = 0 for b.
-3, 2/5
Let o(z) be the second derivative of z**7/84 - 7*z**6/30 + 6*z**5/5 + 7*z**4/12 - 49*z**3/12 + 14*z. Factor o(q).
q*(q - 7)**2*(q - 1)*(q + 1)/2
Suppose -3*v = 5*w + 6 + 6, 0 = 4*v - w + 16. Let n = 4 + v. Solve 3*y**3 + n*y**5 - 3*y**2 - 4*y**5 + 3*y**4 + y**5 + 0*y**5 = 0.
-1, 0, 1
Suppose 2*l + 3*l + 10 = 0, t - 4*l - 423 = 0. Factor -76*d**3 - 84*d**3 - 17*d + 576*d**2 - 96*d**3 + 108 - t*d.
-4*(4*d - 3)**3
Suppose o + 11 = 3*p, -p = p - 3*o - 19. Let b be 18*17/(-306) - 7/(-6). Find m, given that 0*m + b*m**3 + 1/3*m**p - 1/2*m**4 + 0 = 0.
-2/3, 0, 1
Let l be (-4 - -8)*(6601/4048 + (-2)/(-11)). Let 3/2 + 9/4*f**2 + l*f = 0. What is f?
-3, -2/9
Suppose -2*h - 4 = -2*q - 32, 3*h + q - 34 = 0. Let g be (-2)/(3*(-2)/h). Let 0*w**3 - w**3 + 3*w**4 - w**g + 3*w**3 = 0. Calculate w.
-1, 0
Let k(o) = o**2 - 42*o + 276. Let a be k(8). Factor 1/2*x**5 + 0*x - 1/2*x**2 + 0 - 1/2*x**3 + 1/2*x**a.
x**2*(x - 1)*(x + 1)**2/2
Suppose -v - 2*m = -13, 2*v + 2*m - 9 = 9. Find k, given that 69*k**v - 