 - s + 1. Let f(x) = -3*x**3 - x + 91*x**2 - 3 - 94*x**2 + 4*x**3. Let r(d) = -f(d) - 3*n(d). Factor r(i).
-4*i*(i - 1)*(i + 1)
Let p(f) be the first derivative of f**4/18 + 22*f**3/27 - 31*f**2/3 + 34*f - 188. Find k such that p(k) = 0.
-17, 3
What is o in -48 - 32*o**2 - 27*o**2 + 87*o**2 - 32*o**2 + 32*o = 0?
2, 6
Let t(o) be the third derivative of 0 + 4/27*o**3 + 0*o - 44/135*o**5 + 1/18*o**4 - 7*o**2. Factor t(j).
-4*(4*j - 1)*(11*j + 2)/9
Let g(x) be the third derivative of 7/240*x**6 - 1/18*x**3 - 35*x**2 + 0*x + 1/18*x**5 + 0 - 1/48*x**4. Solve g(r) = 0 for r.
-1, -2/7, 1/3
Let l be (-10)/2*(-8)/10. Let q be l*(-5)/(-4) + -2. Suppose 10/7*b**2 + 18/7*b**q + 4/7*b**5 + 2*b**4 + 2/7*b + 0 = 0. What is b?
-1, -1/2, 0
Let x(g) be the second derivative of 0*g**2 + 2/3*g**4 - 2/3*g**3 + 0 - 1/5*g**5 + 4*g. Find r, given that x(r) = 0.
0, 1
Let p be 9/672*9/54. Let r(g) be the third derivative of -2*g**2 + p*g**8 - 3/280*g**7 + 0*g + 3/160*g**6 + 0*g**4 + 0*g**3 - 1/80*g**5 + 0. Factor r(s).
3*s**2*(s - 1)**3/4
Let f(d) = -8*d**3 + 31*d**2 - 2*d. Let u(w) = -56*w**3 + 216*w**2 - 12*w. Let c(i) = -44*f(i) + 6*u(i). Factor c(k).
4*k*(k - 4)*(4*k - 1)
Let s = -292 - -314. Suppose 2 = 8*r - s. Let 4/13*y**2 - 4/13 - 2/13*y**r + 2/13*y = 0. Calculate y.
-1, 1, 2
Factor -3 + 3/4*u**4 - 9/4*u**2 + 6*u - 3/2*u**3.
3*(u - 2)*(u - 1)**2*(u + 2)/4
Suppose 12*g = -72 + 120. Let a(d) be the first derivative of 6 - 16/5*d + g*d**2 - 28/15*d**3 + 3/10*d**4. Factor a(f).
2*(f - 2)**2*(3*f - 2)/5
Let x(j) be the second derivative of 3*j**5/20 - 31*j**4 + 123*j**3/2 - 523*j. Find c, given that x(c) = 0.
0, 1, 123
Let r(l) be the second derivative of -3*l**5/40 - 37*l**4/16 - 45*l**3/2 - 243*l**2/8 + 94*l. Factor r(p).
-3*(p + 9)**2*(2*p + 1)/4
Let h(a) be the second derivative of -8/15*a**6 + 0*a**2 - 2/3*a**3 + 0 + 1/5*a**5 + 12*a + 4/3*a**4. Let h(f) = 0. Calculate f.
-1, 0, 1/4, 1
Let a(q) = 5*q**3 - 4*q - 4. Let t(h) be the first derivative of 11*h**4/4 - 9*h**2/2 - 9*h + 15. Let g(o) = 9*a(o) - 4*t(o). Solve g(k) = 0.
0
Let l(g) be the second derivative of -9*g - 1/10*g**6 - 9/20*g**5 + 3/2*g**3 + 1/4*g**4 + 0*g**2 + 0. What is z in l(z) = 0?
-3, -1, 0, 1
Let y be 3/9*9/54. Let j(o) be the third derivative of 0*o - o**2 - 1/180*o**5 + y*o**3 + 0 + 0*o**4. Determine t so that j(t) = 0.
-1, 1
Let l(n) be the first derivative of -n**6/9 + 4*n**5/15 - n**4/6 - 74. Find u, given that l(u) = 0.
0, 1
Let u = -88 - -103. Determine o so that o**2 - u*o**3 + o**2 + 17*o**3 + 0*o**5 - 2*o**5 - 2*o**4 = 0.
-1, 0, 1
Let b(v) = -3*v. Let s(p) = 5*p**2 + 69*p. Let z(a) = 3*b(a) + s(a). Suppose z(y) = 0. What is y?
-12, 0
Factor 1/2*c**2 - 6*c - 14.
(c - 14)*(c + 2)/2
Let k(i) be the first derivative of i**3/4 + 15*i**2/4 + 27*i/4 + 146. Factor k(v).
3*(v + 1)*(v + 9)/4
Let p(q) = -q**4 - q**3 + 1. Let z(o) = -24*o**4 + 31*o**3 + 36*o**2 + 8*o - 1. Let f(w) = -p(w) - z(w). Factor f(v).
v*(v - 2)*(5*v + 2)**2
Let i(n) be the first derivative of -2*n**5/25 + 4*n**4/5 - 2*n**3/5 - 32*n**2/5 + 56*n/5 - 982. Find q such that i(q) = 0.
-2, 1, 2, 7
Let 3038*c**2 + 654*c**2 + 4 - 211*c**2 - 157*c - 79*c = 0. Calculate c.
2/59
Let o(k) be the first derivative of 3*k**5/25 - 13*k**4/20 + 19*k**3/15 - 11*k**2/10 + 2*k/5 - 139. Find m such that o(m) = 0.
1/3, 1, 2
Factor -5/3*s**2 - 1/3*s + 0.
-s*(5*s + 1)/3
Let l = -10191/4 - -2551. What is h in -15/4*h**2 - h**4 + 7/4*h + l*h**3 - 1/4 = 0?
1/4, 1
Suppose -2 = -5*x - 32. Let j be (-132)/308 + x/28*-2. Let j + 3/2*v**2 + 3/4*v**3 + 3/4*v = 0. What is v?
-1, 0
Suppose 18 = -3721*i + 3724*i. Factor -3/2*l**4 - 3/2 + i*l**3 - 9*l**2 + 6*l.
-3*(l - 1)**4/2
Let s be 182/70*21/13. Determine p, given that 24/5*p**2 + 0 + s*p**4 + 12/5*p - 57/5*p**3 = 0.
-2/7, 0, 1, 2
Suppose -2*j = j + 6. Let l be (6/24)/(j/(-16)). Determine n, given that n**2 + 0*n**2 + n**l = 0.
0
Let m(v) be the second derivative of v**7/231 - 2*v**6/55 + 9*v**5/110 - 2*v**4/33 - v - 21. Let m(i) = 0. What is i?
0, 1, 4
Let z(o) be the first derivative of 2*o**6/45 - 3*o**5/20 + o**4/6 - o**3/18 - 17*o - 29. Let u(y) be the first derivative of z(y). Factor u(f).
f*(f - 1)**2*(4*f - 1)/3
Determine t so that -14/3*t**3 + 2/3*t**5 + 0 - 17/6*t**2 - 1/6*t**4 + t = 0.
-2, -1, 0, 1/4, 3
Let n(i) = i**3 - 25*i**2 - 28*i + 30. Let p be n(26). Let r(d) = -10*d**3 + 3*d**2 - d + 8. Let q(t) = -t**3 + 1. Let f(x) = p*q(x) + 2*r(x). Factor f(l).
2*(l - 1)*(l + 1)*(l + 3)
Let q(c) = -3*c**3 - 2*c**2 + 11*c - 6. Let o(k) = k**3 - 6*k - 1. Let b(z) = 20*o(z) + 5*q(z). Suppose b(p) = 0. What is p?
-2, -1, 5
Suppose -3*c = u - 10, -4*c + 2*c + 3*u = 8. Suppose 0 = -2*d + d + 4, 0 = w - d + c. Solve -2/3*l + 2/3 + 1/6*l**w = 0 for l.
2
Let y be 8008/(-208)*(-1)/(-7) - (1 - 7). Solve y*i**2 - 10*i + 50 = 0.
10
Let m(s) be the second derivative of -7/12*s**4 + 0 + 1/2*s**3 - 6*s - 3*s**2. Let z(j) = -j**2 + j - 1. Let w(t) = -m(t) + 6*z(t). Solve w(c) = 0 for c.
-3, 0
Let q(g) = -8*g**2 - 32*g - 27. Suppose -21 = d - 16. Let w(b) = -44*b**2 - 176*b - 148. Let h(m) = d*w(m) + 28*q(m). Find j such that h(j) = 0.
-2
Solve 17/8*q**3 + 5/2*q**2 + 0 - 9/2*q - 1/8*q**4 = 0 for q.
-2, 0, 1, 18
Let p(l) be the first derivative of 0*l - 8/33*l**3 + 3/22*l**4 + 1/33*l**6 - 20 - 4/11*l**2 + 8/55*l**5. Determine u so that p(u) = 0.
-2, -1, 0, 1
Let l = 136 - 133. Let w(n) be the second derivative of 0*n**2 + 0*n**4 - n - 3/20*n**5 + 1/2*n**l + 0. Factor w(o).
-3*o*(o - 1)*(o + 1)
Let g(j) = -46*j**3 - 70*j**2. Let u(v) = 2*v**3. Let i(a) = -2*g(a) - 44*u(a). What is q in i(q) = 0?
-35, 0
Let s(a) be the third derivative of -a**7/70 - 3*a**6/20 - 13*a**5/20 - 3*a**4/2 - 2*a**3 + 17*a**2 + 5. Factor s(t).
-3*(t + 1)**2*(t + 2)**2
Solve -10*q**2 - 3*q**4 - 21*q**2 + 21*q**3 - 11*q**2 + 10*q + 0*q + 14*q = 0.
0, 1, 2, 4
Let o be -2 - -7*(2 + -1). Let z be ((-1 - -3)/2)/((-1)/(-5)). Factor 2*n + o*n**2 - n**4 - n**3 - n**5 - n**3 + z*n**3 + 0*n**3.
-n*(n - 2)*(n + 1)**3
Let y be 0 - -9 - (0 - 4). What is z in 6*z**3 + 5*z**4 + 6*z**3 + y*z**3 - 30*z**3 = 0?
0, 1
Let q = 338 + -276. Suppose -10*z = 21*z - q. Factor -5/2*t**3 + 0 - 7/6*t**5 + 1/3*t - 1/6*t**z - 19/6*t**4.
-t*(t + 1)**3*(7*t - 2)/6
Let t be (-2)/5 + (-12)/(-5). Let h = 56 - 56. Solve 0 + t*q + h + q**2 + 1 = 0 for q.
-1
Find j, given that 4*j**4 - 59*j + 238*j**2 - 442*j**2 - 96*j**3 + 0*j**4 + 12*j - 57*j = 0.
-1, 0, 26
Let t be (54/20)/(-27)*-4. Solve t*r + 1/5 + 1/5*r**2 = 0.
-1
Let j be (-614)/(-8) - 30/(-24). Suppose z = 80 - j. Let 15/2*v - 3/2*v**z - 9/2 - 3/2*v**3 = 0. Calculate v.
-3, 1
Let l be (-5)/((-840)/64)*2 + (-1)/3. Factor 3/7*y**2 + l*y - 6/7.
3*(y - 1)*(y + 2)/7
Let m(v) be the first derivative of -2*v**5/95 + 5*v**4/38 - 2*v**3/19 - 9*v**2/19 + 121. Find w, given that m(w) = 0.
-1, 0, 3
Let v(b) = 3*b**2 + 222*b + 3888. Let k(r) = 9*r**2 + 667*r + 11664. Let n(f) = 6*k(f) - 19*v(f). Determine o, given that n(o) = 0.
-36
Let j(n) be the third derivative of 0*n**3 + 0*n + 0 - 1/60*n**6 + 2*n**2 + 0*n**4 + 1/210*n**7 + 1/60*n**5. Factor j(x).
x**2*(x - 1)**2
What is z in 2/3*z**3 + 22/3*z - 4*z**2 - 4 = 0?
1, 2, 3
Let q be (-1 - -2)/2*6. Suppose -h + 8 + 0 = -3*z, q*h = -z + 14. Factor -t + 0*t**h - t**5 - t**3 + 3*t**3.
-t*(t - 1)**2*(t + 1)**2
Suppose 3*l - 2*f + 1 = 0, 0*l - 2*l - 14 = -4*f. Factor 5*c**l + 9 - 6*c + c - 10*c**2 + 1.
5*(c - 2)*(c - 1)*(c + 1)
Let n(m) = -m**3 - 53*m**2 + 339*m - 285. Let j(p) = -2*p**3 - 54*p**2 + 340*p - 284. Let y(c) = -3*j(c) + 4*n(c). Find t, given that y(t) = 0.
1, 12
Let w be ((-23)/253)/((-4)/22) + (-52)/(-24). What is a in 8/3*a - w*a**3 - 7/3 + 1/3*a**4 + 2*a**2 = 0?
-1, 1, 7
Suppose 4 = 3*w + 5*r, 4*r - 2 = 4*w - 6*w. Factor -1/5*h - 3/5 + 1/5*h**w + 3/5*h**2.
(h - 1)*(h + 1)*(h + 3)/5
Let 21/4*t**3 + 3*t**2 + 0 + 0*t = 0. What is t?
-4/7, 0
Let a be (2 + 6 - 1022/126)/(2/(-9)). Find x such that 0 - 1/4*x**3 + 3/4*x**2 - a*x = 0.
0, 1, 2
Let u = 10 + -7. Let a(n) = n**2 + 11*n - n**3 - u*n - 9*n. Let f(z) = 4*z**3 - 2*z**2 + 3*z. Let o(h) = 3*a(h) + f(h). Find s such that o(s) = 0.
-1, 0
Let y(i) be the first derivative of 10/3*i - 5/2*i**2 - 5/9*i**3 + 5/4*i**4 - 1/3*i**5 - 1. Solve y(n) = 0 for n.
-1, 1, 2
Find t such that -12*t**4 - 10*t**2 - 1981*t**3 - 3*t**5 + 1963*t**