c - 1)**2/5
Let v be (2/(-4)*10)/(-1). Let v*q**5 + 2*q - 3*q**5 + 0*q**3 + 0*q**3 - 4*q**3 = 0. What is q?
-1, 0, 1
Let o(q) = -17*q**2 + 1. Let h = -1 - 4. Let d(r) = -11*r**2 + 1. Let g(i) = h*o(i) + 8*d(i). Determine x, given that g(x) = 0.
-1, 1
Let a(v) be the second derivative of -v**4/36 + v**3/54 + 16*v. Solve a(h) = 0 for h.
0, 1/3
Let n(r) be the third derivative of -r**6/120 + r**5/40 + r**4/4 - r**3/3 - 4*r**2. Let f(x) be the first derivative of n(x). Factor f(y).
-3*(y - 2)*(y + 1)
Let z(y) = y**2 - 8*y + 2. Let p be z(8). Let d = -44 + 44. Factor -4/9*g + 2/9*g**p + d.
2*g*(g - 2)/9
Factor 3/4*z**2 + 0 - 9/4*z.
3*z*(z - 3)/4
Let d(j) be the second derivative of j**4/6 - j**3/3 - 2*j**2 - 17*j. Find z, given that d(z) = 0.
-1, 2
Let g(c) be the second derivative of -c**7/42 + 3*c**5/20 + c**4/6 + c. Determine p so that g(p) = 0.
-1, 0, 2
Let l(i) = -5*i**5 + 5*i**4 - i**3 + 7*i**2 - 6*i - 6. Let t(r) = -9*r**5 + 9*r**4 - 2*r**3 + 13*r**2 - 11*r - 11. Let m(n) = -11*l(n) + 6*t(n). Factor m(b).
b**2*(b - 1)**2*(b + 1)
Let l(g) be the first derivative of 2*g**3/15 - 2*g**2/5 + 2*g/5 + 6. Determine w, given that l(w) = 0.
1
Let d(p) be the second derivative of -2*p**7/21 + 4*p**5/5 - 2*p**4/3 - 2*p**3 + 4*p**2 + 13*p. Let d(r) = 0. Calculate r.
-2, -1, 1
Let -24*v + 2*v**2 + v**2 + 52 - 4 = 0. What is v?
4
Factor -2*q + q**2 - 2*q**2 - 6*q**2 + 9*q**3.
q*(q - 1)*(9*q + 2)
Let x(o) = o**2 + o - 1. Let v(h) = -6*h**2 - 5*h + 5. Let c(b) = v(b) + 5*x(b). Solve c(f) = 0 for f.
0
Let c(g) be the third derivative of 0*g**3 + 1/75*g**5 - 1/60*g**4 + g**2 - 1/300*g**6 + 0 + 0*g. Factor c(s).
-2*s*(s - 1)**2/5
Let d(c) = 2*c**2 - 2*c - 1. Let z be d(-1). Suppose -3*f + 8*f = 25. Factor 4*r**2 - r**3 - r**z + 3*r - f*r.
-2*r*(r - 1)**2
Let -6*b**3 - 3/2*b + 15/2*b**5 + 15*b**2 - 3 - 12*b**4 = 0. What is b?
-1, -2/5, 1
Let i be (-14)/(((-6)/4)/(-3)). Let v = i - -30. Solve 0 - 2/3*d**v - 2/3*d = 0.
-1, 0
Suppose -106 = -5*h - 2*y, 5*h - 154 + 34 = 5*y. Solve -6*g**3 - 24*g**2 - h*g - 10*g - 4*g + 2*g**3 = 0.
-3, 0
Let j(t) be the first derivative of -7*t**6/10 - 3*t**5/5 + 69*t**4/20 + 29*t**3/5 + 6*t**2/5 - 12*t/5 - 39. Determine p so that j(p) = 0.
-1, 2/7, 2
Let g = -745 - -3729/5. Factor -g*u**2 - 8/5*u - 4/5.
-4*(u + 1)**2/5
Let k(g) = g**3 + 13*g**2 + 23*g + 13. Let u be k(-11). Let -2*z**4 + 14/9*z**5 - 10/9*z**3 + 0 + u*z**2 - 4/9*z = 0. What is z?
-1, 0, 2/7, 1
Let c(g) be the first derivative of -1/8*g**2 + 7 - 1/2*g + 1/4*g**3. Determine a, given that c(a) = 0.
-2/3, 1
Suppose h + 4*h = 15. Suppose n**h - 3*n**2 - n**4 + 8*n**2 - 4*n**2 - n = 0. Calculate n.
-1, 0, 1
Factor -2/7*p**2 + 0 - 4/7*p.
-2*p*(p + 2)/7
Suppose 2*o - 4 = o. Suppose 6 = o*d - 10. Solve 6*q**2 - 2*q**3 - 6*q**d + 2*q**4 - 4*q**2 = 0 for q.
-1, 0, 1/2
Let i(n) be the first derivative of -2*n - 1/6*n**6 + 1 + 7/2*n**2 + 1/2*n**4 - 8/3*n**3 + 2/5*n**5. Factor i(b).
-(b - 1)**4*(b + 2)
Suppose -d - 13 = -24. Suppose -41 = -6*v - d. Suppose -8/5*n**v + 0 + 0*n + 0*n**2 + 0*n**3 - 2/5*n**4 = 0. Calculate n.
-1/4, 0
Let r(u) be the second derivative of 5*u**4/12 - 5*u**3 + 45*u**2/2 + 41*u. Determine n so that r(n) = 0.
3
Determine f so that -5/2*f**3 - 6*f + 4 - 9*f**2 = 0.
-2, 2/5
Let k(r) be the third derivative of r**5/80 - r**4/32 - 24*r**2. What is n in k(n) = 0?
0, 1
Let z(b) be the second derivative of -25*b**7/63 - b**6/9 + 41*b**5/30 + b**4/18 - 16*b**3/9 + 4*b**2/3 - 4*b. Solve z(u) = 0.
-1, 2/5, 1
Let f(d) be the second derivative of -d**4/9 - 8*d**3/9 + 29*d. Factor f(s).
-4*s*(s + 4)/3
Let a be (-4)/(-88)*-4 + 38/88. Factor 3/4*i**2 + 0 + a*i**3 + 1/2*i.
i*(i + 1)*(i + 2)/4
Let -12/7 - 129/7*b**2 - 90/7*b**3 - 3*b**4 - 72/7*b = 0. Calculate b.
-2, -1, -2/7
Determine f, given that -2*f - 22*f - 96*f**2 - 140*f**3 + 8*f = 0.
-2/5, -2/7, 0
Let k = -3 + 2. Let q be 0 + k - 22/(-18). Factor 0 - 2/9*o + q*o**2.
2*o*(o - 1)/9
Let f(o) be the second derivative of o**4/16 - 3*o**3/8 + 3*o**2/4 + 4*o. Find y, given that f(y) = 0.
1, 2
Suppose 2*u - 2*u + 0*u - u - u**2 = 0. Calculate u.
-1, 0
Let p(r) = 6*r**3 + 2*r - 1. Let g be p(1). Suppose 0 = 3*o - g*o + 16. Suppose -7/2*b**o - b + 7/2*b**2 - 3/2*b**3 + 0 + 5/2*b**5 = 0. Calculate b.
-1, 0, 2/5, 1
Let f(q) be the second derivative of -q**6/195 + q**5/26 - 3*q**4/26 + 7*q**3/39 - 2*q**2/13 - 11*q. Factor f(a).
-2*(a - 2)*(a - 1)**3/13
Suppose z - 3 = -0. Suppose 0 = -u - z*o - 13, 2*u - u - 17 = 3*o. What is q in -4*q**3 + 2*q**5 + u*q - 3*q + 4*q - q = 0?
-1, 0, 1
Suppose -5*r - 3*x + 9 = 0, 0 = -3*r - x + 7. Factor 1/2*t**r - t**2 + 0 + 1/2*t**4 + 0*t.
t**2*(t - 1)*(t + 2)/2
Factor -2/11*g**4 + 2/11*g + 0 - 6/11*g**2 + 6/11*g**3.
-2*g*(g - 1)**3/11
Factor -2*g**2 - 8/3 - 1/3*g**3 - 4*g.
-(g + 2)**3/3
Let v(f) be the second derivative of -f**6/120 - f**5/40 + f**4/16 - 2*f + 32. Find q, given that v(q) = 0.
-3, 0, 1
Factor p**5 + 31*p**4 - p**2 - 16*p**4 + 15*p**3 + 6*p**2 + 4*p**5.
5*p**2*(p + 1)**3
Let u(n) = -n**3 + 12*n**2 - 23*n + 34. Let l be u(10). Let 3/5*k**5 + 1/5*k**2 + k**3 + 0*k + 0 + 7/5*k**l = 0. What is k?
-1, -1/3, 0
Let a(k) be the first derivative of 3*k**4/4 + 4*k**3 + 9*k**2/2 - 13. Solve a(w) = 0.
-3, -1, 0
Let t(m) be the third derivative of 0*m**4 - 1/210*m**7 + 8*m**2 + 0*m**3 - 1/60*m**6 + 0*m**5 + 0 + 0*m. Find g, given that t(g) = 0.
-2, 0
Suppose 4*p - 14 = -2*d, -7*p = -4*p - 2*d. Factor 8/5*j - 6/5 - 2/5*j**p.
-2*(j - 3)*(j - 1)/5
Let f = -3 - -4. Suppose 4*h - 13 = -2*r - f, -4*h + 6 = -r. Determine n so that 0 + 2/5*n**h + 0*n + 2/5*n**3 = 0.
-1, 0
Suppose -5*d + 9 = -16. Suppose -w + 2*w + 5*u = 27, u = d. What is k in 3*k - 6*k**2 + 5*k**2 + w - 2*k = 0?
-1, 2
Let -3/7*w**4 + 45/7*w**3 + 6/7*w + 39/7*w**2 - 15/7*w**5 + 0 = 0. What is w?
-1, -1/5, 0, 2
Let v be 8 - (-2 - -2)*-1. Let h = v - 6. Factor -4*o**h - 2*o**5 + 3*o**4 + 0*o**3 + 6*o - o**3 - 2 - 3*o**3 + 3*o**4.
-2*(o - 1)**4*(o + 1)
Let f(b) be the first derivative of 0*b - 1/20*b**5 + 1/2*b**2 - 7 - 2/3*b**3 + 5/16*b**4. Determine g so that f(g) = 0.
0, 1, 2
Let g(v) = -v**3 + 8*v**2 - 6*v - 6. Let h be g(7). Let z = -1 + h. Find a such that 0 + 0*a**3 - 1/2*a**2 + z*a + 1/2*a**4 = 0.
-1, 0, 1
Find t such that -2/7*t + 0 + 1/7*t**2 = 0.
0, 2
Let q(j) be the third derivative of -1/3*j**3 + 0*j**5 + 1/120*j**6 - 1/8*j**4 + 0*j + 0 + 3*j**2. Factor q(v).
(v - 2)*(v + 1)**2
Let p be -3*2*(5 + -4). Let j be 8/p + (-320)/(-150). Let 0*z + 0 - 6/5*z**4 + j*z**3 + 2/5*z**2 = 0. What is z?
-1/3, 0, 1
Let o be (2/6)/(84/63). Factor o*m**2 - 3/4*m + 1/2.
(m - 2)*(m - 1)/4
Factor -2/13*w**5 + 2/13*w**2 + 0*w - 2/13*w**4 + 0 + 2/13*w**3.
-2*w**2*(w - 1)*(w + 1)**2/13
Let m(c) = -c + 9. Suppose -4*f - 2*z + 19 = -z, -2*z - 2 = 0. Let i be m(f). Let 2*n - n + i*n**3 - 5*n**3 = 0. What is n?
-1, 0, 1
Factor -3/4*k**2 + 0 + 3/8*k**3 + 0*k + 3/8*k**4.
3*k**2*(k - 1)*(k + 2)/8
Solve -28/3*y**3 + 98/3*y**2 + 0 + 0*y + 2/3*y**4 = 0.
0, 7
Suppose 2*l + 7 = 11. Let u be l/3 + 352/165. Factor 32/5*j - u*j**2 - 8/5.
-2*(j - 2)*(7*j - 2)/5
Let w = -57/8 + 309/40. What is o in 3*o**4 - 6/5 + w*o + 27/5*o**2 - 39/5*o**3 = 0?
-2/5, 1
Let b(r) = -5*r + 27. Let o be b(5). Suppose 2*a**4 + 21/2*a**o + 1 - 11/2*a - 8*a**3 = 0. Calculate a.
1/2, 1, 2
Factor 8*w - 3*w**4 - 10*w**2 + 4*w**4 + 3*w**4 - 2*w**2.
4*w*(w - 1)**2*(w + 2)
Let d(l) be the third derivative of -l**5/10 - l**4/12 + 2*l**3/3 + 3*l**2. Let h(g) = -6*g**2 - g + 5. Let u(x) = 6*d(x) - 4*h(x). Find v such that u(v) = 0.
-1, 1/3
Factor 12 - 2 - 12*i - 5*i**2 - 2 + 9*i**2.
4*(i - 2)*(i - 1)
Factor -4/7*k**2 + 8/7 - 4/7*k.
-4*(k - 1)*(k + 2)/7
Let d(j) be the third derivative of -j**7/735 + j**6/420 + j**5/70 - 5*j**4/84 + 2*j**3/21 - 30*j**2 + 2*j. Factor d(w).
-2*(w - 1)**3*(w + 2)/7
Solve 89*f**3 + 147*f**4 - 40*f**2 + 103*f**4 + 11*f**3 - 16*f = 0.
-2/5, 0, 2/5
Let p be (-182)/240 + 60/75. Let z(q) be the third derivative of -2*q**2 + 0*q + 1/6*q**3 + 1/240*q**5 + 0 + p*q**4. Suppose z(w) = 0. What is w?
-2
Let n(b) be the first derivative of -b**5/40 + b**4/12 + b**3/12 - b**2/2 - b + 9. Let z(o) be the first derivative of n(o). Factor z(d).
-(d - 2)*(d - 1)*(d + 1)/2
Let g be (4/4)/(1/2). Let h(z) = -z**2 + 4*z. Let a be h(4). Find k such that 3*k + k**g - 3*k**5 + a*k**4 + 