r -141*j + 5*j**2 + 22*j**3 - 7*j**3 + 62*j + 64*j + 5*j**4 - 10.
5*(j - 1)*(j + 1)**2*(j + 2)
Let r(x) be the third derivative of x**8/1680 - x**7/350 + x**6/300 + x**5/150 - x**4/40 + x**3/30 + 11*x**2. Factor r(d).
(d - 1)**4*(d + 1)/5
Suppose 3*z + 5*j = -52 - 1, 5*z + j + 81 = 0. Let b = -13 - z. Factor 2/7 - 2/7*t**2 - 2/7*t**b + 2/7*t.
-2*(t - 1)*(t + 1)**2/7
Suppose 3*h = 23 - 17. Determine z, given that 0*z - 2/15*z**3 + 0 - 2/15*z**h = 0.
-1, 0
Let j be (4/42)/(156/91). Let h(l) be the third derivative of 0*l + 1/90*l**5 + 1/9*l**3 + j*l**4 + 2*l**2 + 0. Let h(a) = 0. What is a?
-1
Let -1/2*d + 7/2*d**3 + 0 - 2*d**4 - d**2 = 0. Calculate d.
-1/4, 0, 1
Let b(g) = -g**3 - 4*g**2 + 4*g + 1. Let m be b(-5). Let -2*f**4 - 7*f**3 - 4*f**5 - f**2 + 11*f**3 + m*f**3 - 3*f**2 = 0. Calculate f.
-2, 0, 1/2, 1
Let n(r) be the second derivative of 0 + 1/7*r**2 + 1/42*r**4 + 2/21*r**3 + 4*r. Factor n(t).
2*(t + 1)**2/7
Let w = -15/766 - -350167/5362. Let a = -65 + w. Find n such that -2/7*n**2 + 2/7*n**3 - 2/7*n**5 + 0 + 0*n + a*n**4 = 0.
-1, 0, 1
Suppose 2*r - t = -9 - 30, -2*t = -6. Let v = 18 + r. Solve -1/2 + 0*n**3 + v*n + n**2 - 1/2*n**4 = 0.
-1, 1
Let p(w) = 6*w**3 + w**2 - w. Let b be p(1). Let g be (b/5)/((-9)/(-30)). Factor 32/3*c**5 + 16/3*c**g + 2/3*c**2 + 0*c - 14/3*c**3 + 0.
2*c**2*(c + 1)*(4*c - 1)**2/3
Let k = 17771/15 + -1183. Let v(a) be the first derivative of -k*a**3 + 8/5*a + 2 - 4/5*a**2 - 1/2*a**4. Suppose v(i) = 0. What is i?
-2, -1, 2/5
Suppose -3*w + 0*w = -5*z + 13, 4*w = -2*z. Determine l, given that 2*l**2 + 9*l**z + 3*l**3 - 8*l**2 - 3 - 3*l = 0.
-1, 1
Factor -21*c**2 - 4 + 14*c**2 + 15 + 12*c + 8*c**2.
(c + 1)*(c + 11)
Suppose -8/11*m**2 + 21/11*m + 1/11*m**3 - 18/11 = 0. What is m?
2, 3
Let w(i) be the first derivative of -i**7/1365 + i**6/780 + i**5/195 + 3*i**2/2 + 10. Let k(a) be the second derivative of w(a). Factor k(r).
-2*r**2*(r - 2)*(r + 1)/13
Let t(w) be the second derivative of 3*w**5/20 + 9*w**4/4 + 12*w**3 + 24*w**2 - 6*w. Suppose t(l) = 0. What is l?
-4, -1
Let g = -6 + 9. Suppose 4*r - g*r = 3. Factor -b**r + 7*b**3 + 0*b**3 - 15*b**2 + 6 + 3*b.
3*(b - 2)*(b - 1)*(2*b + 1)
Let n(r) = -5*r**3 - 3*r**2 + 1. Let j(l) = 9*l**3 + 6*l**2 - 2. Let w(u) = 4*j(u) + 7*n(u). Let s be w(-2). Factor g**4 + 4*g**5 + s*g**5 + g**4.
g**4*(7*g + 2)
Suppose -5*m = -2*m - 12. Suppose -3*u + m*u - 2*k = 7, -1 = u + 2*k. Suppose 0 + 0*y**2 + 1/5*y**u - 1/5*y = 0. What is y?
-1, 0, 1
Let j = -3 - -7. Let g(r) be the second derivative of -1/15*r**3 + 0 + 0*r**j + 0*r**2 + r + 1/50*r**5. What is z in g(z) = 0?
-1, 0, 1
Let r(l) be the third derivative of 2*l**7/315 - 2*l**5/45 + 2*l**3/9 + 3*l**2. Factor r(t).
4*(t - 1)**2*(t + 1)**2/3
Suppose -5*d - 21 = -c + 7, 3*d + 30 = 5*c. Let z(v) be the first derivative of 0*v + 0*v**2 + 2 + 1/3*v**c. Factor z(b).
b**2
Let s(y) = y - 6. Let l be s(6). Let a = l - -7. Determine k so that 2 - 2*k**2 + 11*k - 8*k - a*k**3 + 4*k = 0.
-1, -2/7, 1
Let p be (-3)/6*(-9 - -9). Suppose -4*l - 2*v + 2 = 0, 22 - 8 = 3*l - v. Factor p + 2/3*t**2 + 2/3*t - 2/3*t**l - 2/3*t**4.
-2*t*(t - 1)*(t + 1)**2/3
Let g(t) = -t**3 - 10*t**2 - 10*t - 7. Let l be g(-9). Determine p so that 10*p + p + 5*p**2 + l - 4*p = 0.
-1, -2/5
Let z(a) = a**2 - 7*a - 4. Let y be z(8). Suppose -4*j + 32 = y*t, -t = -0*t + 2*j - 12. Suppose 4*q**2 - 2*q**2 - t*q**3 + 6*q**3 = 0. What is q?
-1, 0
Let c(n) be the second derivative of 0*n**2 + 0*n**4 + 2/75*n**6 + 1/50*n**5 + 0*n**3 + 0 + 1/105*n**7 + 3*n. Factor c(r).
2*r**3*(r + 1)**2/5
Let g(k) = 39*k - 7*k - 8 + 20*k - 33*k**2. Let x(r) = -8*r**2 + 13*r - 2. Let t(i) = -6*g(i) + 22*x(i). Solve t(b) = 0.
2/11, 1
Let j(c) be the second derivative of 0*c**3 + 0 + 2*c**2 - 3*c + 1/96*c**4 - 1/240*c**5. Let f(r) be the first derivative of j(r). Solve f(o) = 0 for o.
0, 1
Factor 2 + 2*z + 2*z**2 + 2 - 4.
2*z*(z + 1)
Let d(m) be the first derivative of -m**3/6 - m**2/4 + m + 9. Suppose d(n) = 0. What is n?
-2, 1
Let w(m) be the second derivative of -m**8/448 + m**7/140 - m**6/160 - 3*m**2/2 + m. Let k(j) be the first derivative of w(j). Factor k(f).
-3*f**3*(f - 1)**2/4
Let y(d) = d**3 - 44*d**2 + 82*d + 86. Let c be y(42). Factor 1 - 3/4*l**c - 1/4*l**3 + 0*l.
-(l - 1)*(l + 2)**2/4
Suppose 1/2*g**2 + 1/4*g + 1/4*g**5 - 1/4 - 1/2*g**3 - 1/4*g**4 = 0. What is g?
-1, 1
Factor 0 - 8/3*l**4 + 0*l - 2*l**3 - 4/9*l**2 - 10/9*l**5.
-2*l**2*(l + 1)**2*(5*l + 2)/9
Determine x, given that x**4 + 2*x**3 + 86*x**2 - 2*x**4 - 2*x - 85*x**2 = 0.
-1, 0, 1, 2
Let i(c) be the first derivative of -2 + 1/2*c + 1/2*c**2 + 1/6*c**3. Find l such that i(l) = 0.
-1
Let m = 231/2 + -115. Determine b, given that 1/4 + 1/4*b**4 + 0*b + 0*b**3 - m*b**2 = 0.
-1, 1
Let d = 3244/3 + -1058. Let l = d - 23. Factor -1/3*m**3 + 1/3 + l*m - 1/3*m**2.
-(m - 1)*(m + 1)**2/3
Let z = 795 - 8735/11. What is q in -z*q**2 + 6/11*q + 4/11 = 0?
-2/5, 1
Let i be (1/(-12))/(3/(-2)). Let r(d) be the third derivative of -1/90*d**5 - i*d**4 - 2*d**2 + 0*d**3 + 0*d + 0. Determine b, given that r(b) = 0.
-2, 0
Let p(k) be the third derivative of 0*k**3 - 4*k**2 + 1/480*k**6 + 0*k + 0*k**4 - 1/240*k**5 + 0. Solve p(q) = 0.
0, 1
Factor -20*a**3 - 9*a**2 + 3*a**4 - 9*a**3 + 23*a**3.
3*a**2*(a - 3)*(a + 1)
Let h(s) be the first derivative of -s**7/5040 - s**6/1080 + 7*s**3/3 - 4. Let o(y) be the third derivative of h(y). Solve o(a) = 0 for a.
-2, 0
Let v be -29 + 21 - (-1 + -2). Let g be ((-12)/(-9))/(1 - v). Solve g*w**2 - 4/9*w + 0 = 0.
0, 2
Let y be 10/(-65) + 72/130. Factor 0 + 2/5*j**4 + 0*j**3 - y*j**2 - 1/5*j**5 + 1/5*j.
-j*(j - 1)**3*(j + 1)/5
Let m(r) = -14*r**3 + 8*r**2 - 8*r - 8. Let t(f) = -5*f**3 + 3*f**2 - 3*f - 3. Let q be ((-1)/(-2))/((-5)/(-40)). Let h(w) = q*m(w) - 11*t(w). Factor h(n).
-(n - 1)*(n + 1)**2
Let y(a) = -a**5 + a**3 + a - 1. Let u(b) = -10*b**5 + b**4 + 18*b**3 + 11*b**2 + 13*b - 9. Let f(n) = -4*u(n) + 36*y(n). Factor f(m).
4*m*(m - 4)*(m + 1)**3
Suppose 3 + 3 = 3*y. Factor 12*v**y - 5*v**2 + 8*v + 4*v**3 + 3*v**2 + 3 - 1.
2*(v + 1)**2*(2*v + 1)
Let h(s) be the second derivative of s**4/12 - s**2/2 - 2*s. Let l(i) = -i**4 + 2*i**3 - 3*i**2 + 2. Let k(u) = 6*h(u) + 3*l(u). Factor k(d).
-3*d**2*(d - 1)**2
Let d(w) be the second derivative of -3/2*w**2 + 1/70*w**5 + 0*w**3 + 1/42*w**4 + 0 - 2*w. Let n(g) be the first derivative of d(g). Solve n(s) = 0.
-2/3, 0
Suppose -3*x = 3*x + 144. Let m be (3/4)/((-4)/x). Suppose -3*k**3 + 0*k + 6*k**2 - m*k**4 - 3/2 + 3*k**5 = 0. Calculate k.
-1, -1/2, 1
Let v(i) be the first derivative of -i**7/980 - 2*i**6/315 - i**5/105 - 10*i**3/3 + 9. Let j(s) be the third derivative of v(s). Factor j(n).
-2*n*(n + 2)*(3*n + 2)/7
Let m(w) be the first derivative of -w**6/42 - w**5/7 - 5*w**4/28 + 5*w**3/21 + 3*w**2/7 + 44. Find l, given that m(l) = 0.
-3, -2, -1, 0, 1
Find v such that 42*v + 3087*v**2 - 17 - v**3 - 3108*v**2 + 4*v**3 - 7 = 0.
1, 2, 4
Let b(x) be the second derivative of 4*x**7/357 + x**6/51 - 3*x**5/170 - 5*x**4/102 - x**3/51 - 9*x. Determine n so that b(n) = 0.
-1, -1/4, 0, 1
Suppose -2*l = -2*o + 4, -3*l + 0*l - 8 = -4*o. Determine p so that -4/3*p - 2/3*p**o + 0 = 0.
-2, 0
Let v = 73/415 - -2/83. Let 1/5*z**2 + v*z**3 - 1/5*z - 1/5 = 0. Calculate z.
-1, 1
Factor -3/5*b + 6/5*b**2 + 0 - 3/5*b**3.
-3*b*(b - 1)**2/5
Let y = 1401/7 + -200. Factor 0 + 2/7*p**4 + y*p**3 - 1/7*p - 2/7*p**2.
p*(p - 1)*(p + 1)*(2*p + 1)/7
Let z = -11 + 7. Let t = -1 - z. Determine r, given that -3*r**2 - r**2 + 2*r**2 - r - r**t = 0.
-1, 0
Factor -3/2*b + 0 + 3/4*b**2.
3*b*(b - 2)/4
Let t(w) be the second derivative of 0*w**4 + 0*w**3 + 2/15*w**6 - 2/21*w**7 + 0*w**2 + 0 + w + 0*w**5. Factor t(x).
-4*x**4*(x - 1)
Let t(y) be the third derivative of -y**5/15 - y**4/2 + 8*y**3/3 - 12*y**2. What is u in t(u) = 0?
-4, 1
Let h be 2/((-2)/(-18)*6). Let g(b) be the first derivative of 0*b**4 + 0*b + 1/10*b**5 - h + 0*b**3 + 0*b**2. Factor g(k).
k**4/2
Let d(k) = -k**2 - 2*k. Let g be d(-2). Factor 0*q + g*q**2 - 3/7*q**4 - 6/7*q**3 + 0.
-3*q**3*(q + 2)/7
Let r be 1155/(-294)*264/10. Let q = r - -104. Solve 0*u - 4/7*u**3 + 0 - 2/7*u**4 - q*u**2 = 0.
-1, 0
Suppose -4*b + 26 = 2*w, 4*w + 2*b + 3*b = 37. Let -2/5*m**4 + 2/5*m**w + 0 - 2/5*m + 2/5*m**2 = 0. Calculate m.
-1, 0, 1
Let u(s) be 