at is o in -21*o**2 + 0*o - w*o**3 + 2*o + 21*o**4 - o + 5*o = 0?
-1, 0, 2/7, 1
Let x = 182 - 177. Let j be 9/30*x + 0. What is r in -3/2*r + 0 + 0*r**2 + j*r**3 = 0?
-1, 0, 1
Let h(t) be the third derivative of -1/1008*t**8 + 0*t + 0*t**4 + 0*t**5 + 0*t**3 - 1/210*t**7 + 1 + 0*t**6 + 21*t**2. Factor h(s).
-s**4*(s + 3)/3
What is p in 0*p - 1/11*p**5 - 108/11 + 5/11*p**3 - 5/11*p**4 + 45/11*p**2 = 0?
-3, 2
Suppose 0 = 3*m - 2 - 10. Suppose 6*j - 4*j - 20 = -4*y, -44 = -4*y + m*j. Find u such that 2 - 7 + 3 + y*u**3 + 2*u**2 - 7*u = 0.
-1, -2/7, 1
Let r = 0 - -2. Let m = 27 - 3. Factor -m + 32 - 2*w**3 + 0*w**2 - 6*w**r.
-2*(w - 1)*(w + 2)**2
Determine x so that -275*x**2 - 3859 + 292*x - 6799 + 273*x**2 = 0.
73
Let w = -31/18 - -17/9. Factor 0 - w*z**4 - 1/6*z**2 - 1/3*z**3 + 0*z.
-z**2*(z + 1)**2/6
Factor -3/4*x - 3/2 + 3/4*x**2.
3*(x - 2)*(x + 1)/4
Suppose 4*h - 2*d = 7*h - 23, 3*d = -4*h + 32. Suppose -14*z + 23 = -h. Suppose -3/2*q**2 + z + 0*q + 1/2*q**3 = 0. What is q?
-1, 2
Let f be 0*1/(2 - (2 - 1)). Let b be 80/6*(f - 4/(-30)). Determine r, given that b*r + 2/9*r**2 + 32/9 = 0.
-4
Find s such that -3/5*s**2 - 352/5*s + 236/5 = 0.
-118, 2/3
Let 0 + 1/3*c**2 + 50/3*c = 0. Calculate c.
-50, 0
Let o(y) be the third derivative of -1/40*y**5 + 0 + y**4 + 20*y**2 - 16*y**3 + 0*y. Factor o(a).
-3*(a - 8)**2/2
Suppose -13 = 26*a - 117. Let o(v) be the first derivative of -2/15*v**5 - 8/15*v - 4 - 4/15*v**2 + 2/3*v**3 - 1/15*v**a. Find c such that o(c) = 0.
-2, -2/5, 1
Let n = -9623/11 + 875. Let 4/11 + n*q**2 - 6/11*q = 0. Calculate q.
1, 2
Let k(s) be the third derivative of s**7/105 + 3*s**6/10 - s**5/30 - 3*s**4/2 + 21*s**2 + s. Factor k(n).
2*n*(n - 1)*(n + 1)*(n + 18)
Let a(i) be the second derivative of i**8/20160 + i**7/1260 + i**6/240 - i**4/12 - i. Let y(q) be the third derivative of a(q). Factor y(s).
s*(s + 3)**2/3
Suppose -36*i = -32*i - 20. Let f(c) be the second derivative of 1/30*c**3 + 0 + 1/5*c**2 + 5*c - 1/30*c**4 - 1/100*c**i. Let f(l) = 0. What is l?
-2, -1, 1
Let i = 44 - 40. Factor -15*a**2 - 87*a**5 - a**2 + 91*a**5 + 12*a**i.
4*a**2*(a - 1)*(a + 2)**2
Let y(w) be the third derivative of -w**7/630 + w**6/90 - w**5/30 + 7*w**4/12 + 5*w**2. Let o(g) be the second derivative of y(g). Solve o(r) = 0 for r.
1
Let t(x) be the first derivative of x**6/3 - 8*x**5/5 - 13*x**4 - 88*x**3/3 - 31*x**2 - 16*x - 363. Factor t(b).
2*(b - 8)*(b + 1)**4
Let o(u) = u**2 + u - 6. Let v be o(4). Determine s so that -v*s + 5*s**2 - 4*s**2 - 16*s + 45 + 4*s**2 = 0.
3
Let x be (-8)/64*-8 + 38/(-40). Let v(j) be the second derivative of -1/3*j**3 - 6*j + 0*j**2 + 0 + 1/12*j**4 + x*j**5. Factor v(f).
f*(f - 1)*(f + 2)
Let i = -47 + 50. Factor a**4 + 5 - 4*a**2 + 20*a**i + 3*a**4 - 4*a**5 - 32*a + 0*a**2 - 21.
-4*(a - 2)**2*(a + 1)**3
Let 27/7 + 1/7*p**3 - 9/7*p - 3/7*p**2 = 0. What is p?
-3, 3
Let q(i) = 3*i**4 - i**2 - 1. Let l(s) = 50*s**4 - 25*s**3 - 105*s**2 + 640*s - 815. Let u(o) = l(o) - 15*q(o). Let u(m) = 0. Calculate m.
-5, 2, 4
Let w(h) = h**2 + 17*h - 15. Let j be w(-18). Let k**j - 7*k**3 + 6*k + 3*k**3 - 3*k**2 = 0. Calculate k.
-2, 0, 1
Let z(c) = -21*c**2 + 1497*c - 27246. Let o(x) = 3*x**2 - 214*x + 3892. Let q(w) = -15*o(w) - 2*z(w). Suppose q(m) = 0. Calculate m.
36
Let l(s) be the first derivative of 0*s - 6*s**2 - 7 + 2/3*s**3. Suppose l(w) = 0. What is w?
0, 6
Let w = 120 + -111. Suppose s + 8*q - 4 = w*q, -2*q - 18 = -4*s. Factor 2/7*h**3 + 0*h + 0 - 2/7*h**4 + 2/7*h**2 - 2/7*h**s.
-2*h**2*(h - 1)*(h + 1)**2/7
Let t be 2/2*33/132. Factor -c + 3/4 + t*c**2.
(c - 3)*(c - 1)/4
Let u(b) be the second derivative of 5*b**7/84 + 7*b**6/4 + 41*b**5/2 + 370*b**4/3 + 400*b**3 + 640*b**2 - b + 15. Let u(i) = 0. What is i?
-8, -4, -1
Suppose 12*y = 5*y + 28. Suppose 0 = n + 1, -y*m + 0 = 2*n - 6. Find w such that -m*w**2 + 4*w - 8 - 3*w - 9*w = 0.
-2
Let o(r) = 2*r**3 - 2. Let k(f) = 10*f**3 + 184*f**2 - 12. Let l(i) = k(i) - 6*o(i). Determine t, given that l(t) = 0.
0, 92
Let o = -20466 - -20475. Factor -15/4*r**2 - o*r - 3.
-3*(r + 2)*(5*r + 2)/4
Find s, given that 18/17*s + 16/17 + 2/17*s**2 = 0.
-8, -1
Let l be 2668/2490 - (6 + (-64)/12). Let q = l + -2/415. Factor 2/5*p**2 - 6/5*p**3 - 4/5*p**5 + q*p + 0 - 2*p**4.
-2*p*(p + 1)**3*(2*p - 1)/5
Let i = -3099 + 46489/15. Factor 2/15*b**2 - i - 2/15*b.
2*(b - 2)*(b + 1)/15
Factor -30340*t**3 + 100*t**2 + 4*t - 10*t + 5*t**5 + 30250*t**3 + 20*t**4 - 29*t.
5*t*(t - 1)**3*(t + 7)
Let w(j) be the first derivative of -j**3/2 - 57*j**2/4 - 27*j - 208. Factor w(t).
-3*(t + 1)*(t + 18)/2
Solve -1155*q**2 + 951*q**2 + 352*q + 10816 - 2*q**3 - 5344*q = 0 for q.
-52, 2
Let b(h) = h + 21. Let i be b(-16). Let a(g) be the third derivative of -g**2 + 0*g + 1/40*g**6 + 0 + 0*g**i + 0*g**3 + 0*g**4. Determine q so that a(q) = 0.
0
Let l(f) = 6 - 4*f**2 + 2*f - 8*f**2 + 9*f**2 + 8. Let t(p) = 21*p**2 - 15*p - 99. Let o(w) = -15*l(w) - 2*t(w). Find n such that o(n) = 0.
-2, 2
Let y(a) = 3*a**3 - 13*a**2 - 138*a + 290. Let c(m) = 80*m**3 - 350*m**2 - 3725*m + 7825. Let w(s) = 2*c(s) - 55*y(s). Factor w(f).
-5*(f - 6)*(f - 2)*(f + 5)
Let o = 70 + -9. Let u = -61 + o. Find l such that 1/4*l**2 - 1/2*l**3 + 0*l + 1/4*l**4 + u = 0.
0, 1
Let k = -159 + 189. Let c be 34/k + (-100)/125. What is h in -c - 7/9*h**2 - 10/9*h = 0?
-1, -3/7
Suppose 45 + 6 = 17*d. Suppose 0*y + 10 = -4*k + 2*y, d*k = -4*y + 20. Let -3/2*v**3 + 0 + k*v**2 + 3/4*v + 3/4*v**5 + 0*v**4 = 0. What is v?
-1, 0, 1
Let l be (-27)/24 + (0/3 - -2). Let z = l - 3/8. Let -z*r**2 - 1/2*r + 0 = 0. What is r?
-1, 0
Let l(u) be the second derivative of -11*u + 0*u**2 - 1/10*u**6 + 0*u**5 + 0 + 3/4*u**4 + u**3. Factor l(z).
-3*z*(z - 2)*(z + 1)**2
Find m such that 0 + 3/2*m**4 - 147/2*m + 189/2*m**2 - 45/2*m**3 = 0.
0, 1, 7
Factor -18*n**4 + 993*n**3 - 4*n**2 - 1017*n**3 - 4*n**2.
-2*n**2*(3*n + 2)**2
Let t(z) = z**3 + 23*z**2 + 57*z - 56. Let c be t(-20). Factor -1/10*l - 2/5*l**2 - 2/5*l**c + 0 - 1/10*l**5 - 3/5*l**3.
-l*(l + 1)**4/10
Let f(n) = n**2 + 2*n - 3. Suppose w - 5 = -4*w. Let h be f(w). Factor -k**4 + 0*k + 0*k**3 + h*k**2 + 0 - 1/2*k**5.
-k**4*(k + 2)/2
Suppose -16 = -16*r + 12*r. Let f(v) be the second derivative of 0*v**r + 0*v**6 + 1/4*v**3 + 0 + 1/28*v**7 - 3/20*v**5 - 9*v + 0*v**2. Solve f(s) = 0 for s.
-1, 0, 1
Suppose 4*m - 6 = 5*o, 0 = 2*m - 4*m + 4*o. Solve -4*f**4 + f**4 + m*f**4 - f**2 = 0.
-1, 0, 1
Let i be 1/5*(-26 + 26). What is k in 15/2*k**3 + 0*k + i - 5/2*k**4 - 5*k**2 = 0?
0, 1, 2
Suppose -3*c - v = -82, -c + 36 = -0*c - 4*v. Let f be 7/7 + c + -2. Determine q so that -f*q**5 - 2*q**3 - 28*q**5 + 57*q**5 = 0.
-1, 0, 1
Let c(i) be the first derivative of 12 + 0*i**2 + 12/5*i + 3/20*i**4 - 3/5*i**3. Determine g, given that c(g) = 0.
-1, 2
Let q = -267 + 159. Let u = 112 + q. Determine r, given that -3/4*r**2 + 0*r + 9/8*r**3 - 3/8*r**u + 0 = 0.
0, 1, 2
Let -5*b**5 + 12*b**3 + 8*b**4 + b**5 + 0*b**5 = 0. What is b?
-1, 0, 3
Solve -4*k**2 - 22/5*k**4 + 12*k**3 + 42/5 - 62/5*k + 2/5*k**5 = 0 for k.
-1, 1, 3, 7
Let j(c) be the third derivative of c**10/22680 + c**9/2835 + c**8/1260 - 5*c**4/4 - 16*c**2. Let y(m) be the second derivative of j(m). Factor y(a).
4*a**3*(a + 2)**2/3
Let a(g) be the second derivative of g**4/4 + g**3/3 + 9*g**2/2 - g. Let s(d) = 2*d**2 + 2*d + 8. Let c(p) = -4*a(p) + 5*s(p). Let c(o) = 0. What is o?
-1, 2
Let x(c) = 8*c**4 - 54*c**3 - 114*c**2 - 118*c - 48. Let h(l) = 10*l**4 - 56*l**3 - 114*l**2 - 118*l - 49. Let u(i) = 6*h(i) - 7*x(i). Factor u(r).
2*(r + 1)**2*(r + 7)*(2*r + 3)
Let k(i) be the second derivative of -i**6/10 - 3*i**5/2 - 2*i**4 + 5*i**3 + 27*i**2/2 + 100*i. What is g in k(g) = 0?
-9, -1, 1
Let w(b) be the second derivative of -67*b**3/3 + 3*b**2 + b. Let y be w(-5). Solve 16 + y*t**2 - 112*t - 99*t + 3*t = 0 for t.
2/13
Let t(f) be the second derivative of f**4/6 + 4*f**3/3 + 4*f**2 - f + 47. Factor t(v).
2*(v + 2)**2
Factor -3*k**3 - 8 + 2*k + 0*k**3 + 16*k - 4*k**2 - 3*k**2.
-(k - 1)*(k + 4)*(3*k - 2)
Suppose 5*r - k - 11 = 0, -4*r - 12 = -9*r + 2*k. Let u(y) be the second derivative of 0 + 4*y - 1/21*y**3 - 1/7*y**r + 1/42*y**4 + 1/70*y**5. Factor u(z).
2*(z - 1)*(z + 1)**2/7
Let f(o) be the second derivative of -o**7/8820 - o**6/3780 + 4*o**3/3 + 12*o. Let s(k) be the se