
-3*(z + 1)*(z + 11)/5
Suppose 7758 - 7758 - 5*p**4 + 10*p**5 - 10*p**3 + 5*p**2 = 0. What is p?
-1, 0, 1/2, 1
Let r = 133/111 - -5/37. What is g in 2*g**4 - r*g + 2/3*g**5 + 0 - 2*g**2 + 2/3*g**3 = 0?
-2, -1, 0, 1
Let x be (-2)/(-5*14/63). What is m in -x + 3/5*m**3 - 3*m - 3/5*m**2 = 0?
-1, 3
Let x(l) = l**5 - 6*l**4 + 2*l**3 - 4*l**2 + 9*l + 4. Let d(b) = -b**5 + 5*b**4 - b**3 + 3*b**2 - 8*b - 3. Let f(r) = 6*d(r) + 5*x(r). Factor f(p).
-(p - 1)**3*(p + 1)*(p + 2)
Factor 14/13*w**2 - 2/13*w**3 - 16/13*w - 32/13.
-2*(w - 4)**2*(w + 1)/13
Let t = 116 + -578/5. Let k be (-12)/80 + 2 + 2/(-8). Suppose k*x + 8/5*x**3 - t*x**4 - 12/5*x**2 - 2/5 = 0. What is x?
1
Let r(p) = -3*p**2 + 14*p + 15. Let g(x) = -x**2 + x + 1. Let q(m) = -10*g(m) + 5*r(m). Factor q(h).
-5*(h - 13)*(h + 1)
Let m(k) be the third derivative of k**8/112 - k**7/35 + k**5/10 - k**4/8 + 17*k**2. Factor m(u).
3*u*(u - 1)**3*(u + 1)
Let o(p) be the third derivative of -p**6/660 + p**5/110 - 4*p**3/33 + 3*p**2. Suppose o(u) = 0. Calculate u.
-1, 2
Let h(y) be the first derivative of -2*y**3/21 + 6*y**2/7 + 26. Factor h(k).
-2*k*(k - 6)/7
Let z be 9/21*(-2)/(-3). Factor 4/7*i**2 - 4/7 - 2/7*i + z*i**3.
2*(i - 1)*(i + 1)*(i + 2)/7
Suppose -2*o = o. Factor 2 + o*w**2 - w**2 + 4*w + 0 - 3*w.
-(w - 2)*(w + 1)
Suppose 2*t - 10 = -2*l, -6 = 3*l - 4*t - 0. Let r(p) be the first derivative of l*p + 3 + 2*p**2 + 2/3*p**3. Factor r(q).
2*(q + 1)**2
Factor 2*l**4 - 20 - l**5 - l**3 + 20.
-l**3*(l - 1)**2
Find s, given that 0 + 0*s - 1/2*s**3 - 9/2*s**2 = 0.
-9, 0
Let d(n) = n**5 + n**4 - n**2 - n. Let g(v) = -v**5 + v**4 + 3*v**3 - v**2 - 2*v. Let r(s) = -4*d(s) + 2*g(s). Suppose r(k) = 0. What is k?
-1, -1/3, 0, 1
Let d(s) = -s**2 - 7*s + 2. Let k be d(-7). What is h in -2*h - 1 - k*h + 6*h - h**2 + 0*h = 0?
1
Suppose 0 = -3*o - 5*v + 11, -5 = -2*o - v - 0. Factor -1/3*m**o + 1/3*m - 1/3*m**3 + 1/3.
-(m - 1)*(m + 1)**2/3
Let -3/5*v**3 - 3/5*v**2 + 0*v + 0 = 0. Calculate v.
-1, 0
Solve -10*o**2 - 15*o**3 - 13*o**3 - 7 - 11 + 60*o - 6*o**4 + 2*o**2 = 0.
-3, 1/3, 1
Let d(s) = 4*s**2 + 2*s - 2. Let r(p) = -5*p**2 - 3*p + 3. Let f(h) = 3*d(h) + 2*r(h). Let f(k) = 0. Calculate k.
0
Let o(q) be the first derivative of -q**3 + 0*q + 1/540*q**6 + 3 - 1/36*q**4 + 0*q**5 + 0*q**2. Let p(k) be the third derivative of o(k). Factor p(f).
2*(f - 1)*(f + 1)/3
Let x(o) be the second derivative of 0 + 4*o - 1/18*o**4 + 0*o**2 + 0*o**3. Determine p, given that x(p) = 0.
0
Factor -4 + 39*z**2 - 4*z**3 + 34*z**2 - 69*z**2 + 0*z**3 + 4*z.
-4*(z - 1)**2*(z + 1)
Suppose 0 = 5*k - 17 + 2. Let b be 1*(2 - (k + -1)). Solve 0 + 1/2*r**5 + 0*r + b*r**2 + 1/2*r**3 + r**4 = 0 for r.
-1, 0
Let m = -216 - -447/2. Let m*y - 3 - 6*y**2 + 3/2*y**3 = 0. What is y?
1, 2
Let m(y) = -y**4 + 40*y**3 + 61*y**2 + 31*y. Let w(a) = a**4 - 20*a**3 - 31*a**2 - 16*a. Let g(l) = 6*m(l) + 11*w(l). Factor g(u).
5*u*(u + 1)**2*(u + 2)
Let m(j) = j**3 + 4*j**2 - 4*j + 1. Let a be m(-4). Factor 4*w**3 - 1 - 3 - a*w**2 + w**2 + 20*w - 4.
4*(w - 2)*(w - 1)**2
Factor 7*g**3 + 367*g**2 - 369*g**2 - g**3 - 4*g**4.
-2*g**2*(g - 1)*(2*g - 1)
Let z(i) be the second derivative of 0 - 3*i + 0*i**2 - 1/30*i**3 - 1/30*i**4 - 1/100*i**5. Factor z(g).
-g*(g + 1)**2/5
Let k be -3 + (9/28 - -3). Let r = k - 1/28. Factor 0*j + 0*j**3 - 2/7*j**4 + 0 + r*j**2.
-2*j**2*(j - 1)*(j + 1)/7
Let f be 2/10 - 364/(-130). Let h(u) be the third derivative of 1/36*u**4 + 0*u - 1/12*u**5 + 0*u**f + u**2 + 0 + 7/90*u**6. Suppose h(t) = 0. Calculate t.
0, 1/4, 2/7
Suppose b - 20 = -4*b. Suppose 6*j**3 + b - 2*j**3 - j**3 - 15*j**2 + 24*j - 16 = 0. What is j?
1, 2
Let j be (-8)/(-44) + (-31)/(-11). What is m in -6*m**2 + j*m**4 - 3*m**2 + 6*m**3 - 4*m**4 = 0?
0, 3
Let r(q) be the second derivative of q**6/45 - 4*q**5/45 + 7*q**4/54 - 2*q**3/27 - 16*q. Solve r(w) = 0.
0, 2/3, 1
Suppose 5*r - r = 0. Suppose 6*w - 3*w = r. Factor -1/3*l**2 + w*l + 2/3*l**4 + 0 + 1/3*l**3.
l**2*(l + 1)*(2*l - 1)/3
Let x(g) = g**5 - 5*g**4 - 8*g**3 + 3*g**2 - 5*g + 5. Let z(b) = -b**5 + 6*b**4 + 9*b**3 - 4*b**2 + 6*b - 6. Let o(u) = -6*x(u) - 5*z(u). Factor o(s).
-s**2*(s - 2)*(s + 1)**2
Let x(c) = 3*c**5 - c**4 + 5*c**3 - 4*c**2 + 2*c - 5. Suppose -5*o + 2*o = -15. Let r(u) = u**5 - u**4 + u**3 - 1. Let y(k) = o*r(k) - x(k). Factor y(t).
2*t*(t - 1)**3*(t + 1)
Let r(q) = 2*q**2 - q**3 - 5 - q + 5*q - 5*q. Let p(l) = -1. Let a(c) = -5*p(c) + r(c). Factor a(m).
-m*(m - 1)**2
Let w(x) be the second derivative of x**4/78 - x**3/39 - 19*x. Factor w(k).
2*k*(k - 1)/13
Let p(b) be the first derivative of -20*b**3 - 19*b**4 - 28/5*b**5 - 4 + 8*b - 2*b**2. Solve p(k) = 0.
-1, 2/7
Find m such that -12/5*m - 12/5*m**4 + 3/5*m**3 + 3/5*m**5 + 6*m**2 - 24/5 = 0.
-1, 2
Let t be 2/(-4) + 18/4. Factor 4*z + 0*z**2 - 2*z**2 - t*z.
-2*z**2
Let s(v) be the second derivative of -v**5/4 + 25*v**4/12 - 5*v**3/2 - 45*v**2/2 + 18*v. What is w in s(w) = 0?
-1, 3
Suppose 5*w = -3*r + 19, -r + 2*w + w - 3 = 0. Factor -6/7*k**r - 2/7*k**5 + 0*k - 2/7*k**2 + 0 - 6/7*k**4.
-2*k**2*(k + 1)**3/7
Suppose -3*y = 4*m + 7, -3*m - 4 = 3*y + 5. Let q be (22/220)/((-2)/(-4)). Find p, given that 0 - q*p**3 + 2/5*p - 1/5*p**m = 0.
-2, 0, 1
Let g(x) be the third derivative of 1/210*x**7 + 0 + 1/240*x**6 + 6*x**2 - 1/60*x**5 + 0*x**3 + 0*x**4 - 1/672*x**8 + 0*x. Determine k so that g(k) = 0.
-1, 0, 1, 2
Suppose 0*r + 1/3*r**3 + r**2 + 0 = 0. What is r?
-3, 0
Factor 0 + o**2 + 1/3*o**3 - 4/3*o.
o*(o - 1)*(o + 4)/3
Let d(x) be the second derivative of x**8/3360 + x**7/1260 - x**6/180 + x**4/4 + 3*x. Let p(b) be the third derivative of d(b). Solve p(m) = 0.
-2, 0, 1
Determine l, given that -16*l**2 - 5 - 6 + 11 - 28*l**5 - 92*l**4 - 80*l**3 = 0.
-2, -1, -2/7, 0
Let z(p) = 2*p**2 - p + 3. Let g be z(0). Find v, given that 0 - 1/5*v**g - 1/5*v**4 + 1/5*v**2 + 1/5*v = 0.
-1, 0, 1
Let d(p) = -p**4 + p**3 + p**2. Let o(a) = -14*a**4 + 2*a**3 + 10*a**2 - a. Let t(l) = -5*d(l) + o(l). What is v in t(v) = 0?
-1, 0, 1/3
Let i(f) be the first derivative of f**3/15 + 4*f**2/5 + 16*f/5 - 16. Factor i(z).
(z + 4)**2/5
Let g = 28 + -24. Solve 0*y + 0 + 6/7*y**3 - 6/7*y**g + 2/7*y**5 - 2/7*y**2 = 0 for y.
0, 1
Let t(n) = n**3 + 17*n**2 + n + 22. Let j be t(-17). Factor 0 + 0*o + 1/2*o**4 - 1/4*o**j + 0*o**2 - 1/4*o**3.
-o**3*(o - 1)**2/4
Let j(m) be the third derivative of -m**8/60480 - m**7/5040 - m**6/1080 - m**5/30 - m**2. Let b(l) be the third derivative of j(l). Let b(h) = 0. What is h?
-2, -1
Let k(y) be the second derivative of -y**9/15120 + y**7/1260 - y**5/120 - y**4/3 + 5*y. Let v(m) be the third derivative of k(m). Let v(w) = 0. Calculate w.
-1, 1
Let h(f) = 196*f**2 + 165*f + 36. Let k(a) = -196*a**2 - 164*a - 36. Let n(m) = -4*h(m) - 3*k(m). Solve n(w) = 0.
-3/7
Let w = -152 - -461/3. Let j**2 + 2/3 - w*j = 0. Calculate j.
2/3, 1
Let p(j) be the second derivative of -j**6/90 + j**5/15 - j**4/9 + 12*j. Find u, given that p(u) = 0.
0, 2
Factor 2*v**4 + 1 - 4*v**3 - 6 + 5.
2*v**3*(v - 2)
Let a(n) = -5*n**2 + n + 3. Let l(r) = -44*r**2 + 10*r + 26. Let y(u) = -52*a(u) + 6*l(u). Find m such that y(m) = 0.
0, 2
Suppose -42 = -5*f - 7. Let m = f + -5. Factor 6*j - j**2 - 5*j + 0*j**m.
-j*(j - 1)
Let l = 1187/790 + -1/395. Solve l + 3*w + 3/2*w**2 = 0.
-1
Let n(q) = -q - 1. Let f = -6 - -1. Let j be n(f). Solve -2*h**2 + j*h**2 - 2*h**3 + 0*h**5 + 0*h**4 - 2*h**4 + 2*h**5 = 0.
-1, 0, 1
Let i(s) be the second derivative of -s**6/225 + s**5/75 + s**4/30 - 17*s. Factor i(l).
-2*l**2*(l - 3)*(l + 1)/15
Let m be 2 - -4*6/24. Let -2/5*r**m - 2*r - 4/5 - 8/5*r**2 = 0. What is r?
-2, -1
Let d be 3/6 - 79/(-2). Let f = d + -159/4. What is c in 3/4*c**2 + f*c + 3/4*c**3 + 1/4*c**4 + 0 = 0?
-1, 0
Determine d, given that -4*d**2 + 52*d**2 + 27*d + 18*d**4 + 10 - 4 + 42*d**3 + 3*d**5 = 0.
-2, -1
Suppose -11*p = -4*p - 21. Factor 2/7*i + 6/7 - 2/7*i**p - 6/7*i**2.
-2*(i - 1)*(i + 1)*(i + 3)/7
Let a(o) be the second derivative of 0 + 6*o + 2*o**2 + o**3 - 2*o**4 + 7/10*o**5. What is y in a(y) = 0?
-2/7, 1
Let s be (5/(-10))/((-1)/4). Solve 11*c - c**2 + c - 12 - s*c**2 = 0 for c.
2
Let z(q) be the third derivative of 0*q + 0 - 4*q**2 + 1/120*q**5 + 0*q**4 + 0*q**3. Factor z(k).
k**2/2
Solve 835/3*w**2 + 20 + 500/3*w - 135*w**4 - 330*w**3 = 0.
-3, -2/9, 1
Suppose 