d y, given that 5*y**3 + 0*y**4 - 5*y**2 + 7*y**3 + 13*y**2 + 4*y**t = 0.
-2, -1, 0
Suppose 16 - 13 + 3*k**4 - 12*k**2 + 6*k**2 = 0. Calculate k.
-1, 1
Let m(b) = 392*b**4 - 567*b**3 - 31*b**2 + 160*b + 25. Let c(s) = -196*s**4 + 283*s**3 + 15*s**2 - 80*s - 13. Let z(f) = -7*c(f) - 3*m(f). Factor z(x).
4*(x - 1)**2*(7*x + 2)**2
Let f(k) be the third derivative of -k**5/60 - k**4/24 + 8*k**2. Suppose -5 + 4 = o. Let w(s) = -7*s**2 - s. Let b(r) = o*w(r) + 3*f(r). Factor b(g).
2*g*(2*g - 1)
Let y = -10 + 13. Let d(x) be the second derivative of -1/6*x**y + 2*x + 0*x**2 - 1/80*x**5 + 1/12*x**4 + 0. What is f in d(f) = 0?
0, 2
Suppose -5*a - 11 = -2*d, -2*d = -3*a - 4*d + 3. Let i be (-8)/(-2)*a/(-3). Determine j so that 2/3 + i*j - 4/3*j**3 - 2/3*j**2 = 0.
-1, -1/2, 1
Let c(t) = -4*t**3 + t. Let p be c(-1). Suppose 3*j = 2*j - 3*g + 14, -4*j + p*g = 4. Suppose 1/4*h**j + 1/4 + 1/2*h = 0. Calculate h.
-1
Let g = -1160/9 - -129. Let n(r) be the first derivative of 0*r - g*r**3 + 0*r**2 + 4 + 1/24*r**4. Determine m so that n(m) = 0.
0, 2
Let n(t) be the first derivative of 2*t + 3/2*t**2 + 1/3*t**3 + 3. Factor n(z).
(z + 1)*(z + 2)
Let -4*k + 3*k - 2*k**3 + 5*k**2 - 2*k**3 = 0. Calculate k.
0, 1/4, 1
Suppose -2*g + 11*g + 3*g**3 + 3 - 10*g**2 - 4 - 1 = 0. Calculate g.
1/3, 1, 2
Let z = 61 + -28. Let g = 36 - z. Factor -2/3*w**g + 2/3*w**2 + 0 + 4/3*w.
-2*w*(w - 2)*(w + 1)/3
Let z(w) be the third derivative of w**6/6 + 5*w**5/4 - 5*w**4/6 - 25*w**2. Factor z(p).
5*p*(p + 4)*(4*p - 1)
Let r(j) be the first derivative of 3*j**4 + 4*j**3/3 - 6. Suppose r(i) = 0. What is i?
-1/3, 0
Let q = -38/15 - -134/45. Determine i, given that 8/9*i**5 - 14/9*i**4 - q*i**3 + 16/9*i**2 - 2/9 - 4/9*i = 0.
-1, -1/4, 1
Let p be (-9)/((-540)/(-2672))*3. Let z = p - -134. Factor z*x + 0*x**2 + 0 - 2/5*x**3.
-2*x*(x - 1)*(x + 1)/5
Solve 61 + 5*o + 5*o - 64 - 12*o**2 - o**4 + 6*o**3 = 0.
1, 3
Let h be (((-4)/10)/2)/((-20)/20). Let k(w) be the first derivative of -4 + 0*w**2 + h*w**3 - 3/5*w. Factor k(a).
3*(a - 1)*(a + 1)/5
Suppose 3*m - 6 = m. Factor -m + 1 + 4 - g**2 - g**2.
-2*(g - 1)*(g + 1)
Solve 42/11*j**2 - 34/11*j**3 + 10/11*j**4 - 2*j + 4/11 = 0.
2/5, 1
Let j = 96 - 65. Suppose -x**4 + 32*x**5 - 2*x**4 + j*x**5 - 6*x**3 = 0. What is x?
-2/7, 0, 1/3
Let t be 42/12 - 5/(-10). Factor -3/4*g**3 + 0 + 0*g + 1/4*g**5 + 0*g**t - 1/2*g**2.
g**2*(g - 2)*(g + 1)**2/4
Let n(a) be the third derivative of -a**5/180 - 2*a**4/9 - 32*a**3/9 + 16*a**2. What is t in n(t) = 0?
-8
Let m(d) be the first derivative of -d**5/5 + d**4/4 + d**3 - d**2/2 - 2*d - 6. Solve m(r) = 0 for r.
-1, 1, 2
Let k(y) be the second derivative of 5*y**4/27 - y**3/3 - y**2/9 - 7*y + 7. What is f in k(f) = 0?
-1/10, 1
Let x = -1063/55 + 228/11. Determine h so that x*h**4 + 0 + 0*h - h**3 - 2/5*h**2 = 0.
-2/7, 0, 1
Let a(i) = 46*i**3 - 50*i**2 - 14*i. Let y(k) = 15*k**3 - 17*k**2 - 5*k. Let c(w) = -5*a(w) + 14*y(w). Find h, given that c(h) = 0.
0, 3/5
Let q be (-152)/(-840) - (-2)/(-15). Let d(y) be the second derivative of -4*y - q*y**4 + 1/21*y**3 + 0*y**2 + 0. Factor d(g).
-2*g*(2*g - 1)/7
Suppose -2*m = -367 + 13. Let a = -1237/7 + m. Factor -2/7*p**4 - 2/7 - 4/7*p**3 + a*p + 4/7*p**2 + 2/7*p**5.
2*(p - 1)**3*(p + 1)**2/7
Let v(c) be the first derivative of 3*c**4/22 + 4*c**3/33 - 12*c**2/11 - 16*c/11 - 10. Factor v(h).
2*(h - 2)*(h + 2)*(3*h + 2)/11
Let f = 176/255 + -2/85. Factor f*q + 1/3 + 1/3*q**2.
(q + 1)**2/3
Suppose 0 + 1/5*d**2 + 2/5*d = 0. Calculate d.
-2, 0
Let r(w) = -w**2 + 8*w + 11. Let u be r(9). Let -s - 2*s**u + 0*s**2 - s**2 + 3 - 1 = 0. What is s?
-1, 2/3
Suppose -92 = 21*y - 25*y. Suppose -5*b + y = 8. Factor -5/2*x - 1 - 2*x**2 - 1/2*x**b.
-(x + 1)**2*(x + 2)/2
Let q be 1 + 1 + 18/(-15). Let p(b) be the first derivative of -1 + q*b**2 + 1/5*b + 16/15*b**3. Factor p(c).
(4*c + 1)**2/5
Let o(w) = 6*w**2 - 125*w + 469. Let s(d) = -d**2 + 21*d - 78. Let i(y) = 6*o(y) + 34*s(y). Find k such that i(k) = 0.
9
Let k**2 - 4*k**2 + 0*k**2 - 3*k**5 + 3*k**3 - 3*k**2 + 6*k**4 = 0. What is k?
-1, 0, 1, 2
Let v(k) be the second derivative of 0 - 1/30*k**6 - 1/10*k**5 - 1/12*k**4 + 2*k + 0*k**2 + 0*k**3. Factor v(l).
-l**2*(l + 1)**2
Let d = -3 + 5. Determine u so that -2 - u**3 - 3*u + 4*u + 2*u**2 + 0*u**d = 0.
-1, 1, 2
Find f such that 0 - 1/9*f**2 + 1/9*f = 0.
0, 1
Let l = 2 - -1. Factor -5*z**2 + 6*z**2 + 3*z**2 - 2*z**l.
-2*z**2*(z - 2)
Suppose -1/11 - 3/11*z - 1/11*z**3 - 3/11*z**2 = 0. Calculate z.
-1
Let j(d) be the second derivative of 3*d**5/40 - 17*d**4/16 + 11*d**3/4 - 21*d**2/8 + 41*d. Let j(u) = 0. What is u?
1/2, 1, 7
Suppose -4*j + 16 = -0*j. Let t = 6 - 2. Solve -5*i**5 - 2*i**3 - 2*i**t + j*i**3 + 3*i**5 + 2*i**2 = 0.
-1, 0, 1
Let f(p) be the third derivative of p**5/15 + p**4/2 + 4*p**3/3 - 27*p**2. Factor f(l).
4*(l + 1)*(l + 2)
Let z = -12 + 9. Let r be z/6*2 - -1. Factor -2/11*i**2 + r*i + 2/11.
-2*(i - 1)*(i + 1)/11
Let s(w) be the second derivative of w**7/35 + 2*w**6/15 + 7*w**5/30 + w**4/6 - 3*w**2/2 - 3*w. Let y(q) be the first derivative of s(q). Solve y(k) = 0.
-1, -2/3, 0
Let c(r) be the third derivative of -r**8/112 + 3*r**7/70 - r**6/40 - 3*r**5/20 + r**4/4 + 9*r**2. What is v in c(v) = 0?
-1, 0, 1, 2
Let u(j) be the first derivative of 5*j**6/6 - 6*j**5 + 65*j**4/4 - 20*j**3 + 10*j**2 - 9. Factor u(f).
5*f*(f - 2)**2*(f - 1)**2
Factor -8 + 4*l - 1/2*l**2.
-(l - 4)**2/2
Let i(q) be the first derivative of q**4 - 4*q**3 + 4*q**2 - 13. Determine j so that i(j) = 0.
0, 1, 2
Suppose 3*m = -5*b + 31, -13 = -4*m + 2*b + 11. Suppose r = 6*r - 3*i, -3*r - 16 = -5*i. Factor -2*z - r + z**2 + 6*z + m - 4*z**2.
-(z - 2)*(3*z + 2)
Let d(z) be the second derivative of 2/3*z**4 + 1/10*z**5 + 0 + 4/3*z**3 + 0*z**2 + 2*z. What is c in d(c) = 0?
-2, 0
Let r = -5912/11 - -538. Factor r + 2/11*q**2 + 8/11*q.
2*(q + 1)*(q + 3)/11
Let w(n) be the second derivative of 5/36*n**4 + 0 + 1/20*n**5 - 1/126*n**7 + 0*n**2 - 1/90*n**6 - 2*n + 1/9*n**3. Find h, given that w(h) = 0.
-1, 0, 2
Let j be 2 - 2/(2/(-1)). Determine s so that -3*s**2 - 29 + 26 + 9*s + j*s**3 - 6*s**2 = 0.
1
Let b(t) = 5*t**3 - 6*t**2 + 12*t - 4. Let o(j) = -11*j**3 + 12*j**2 - 24*j + 7. Suppose 0 = 2*z - 4 - 4. Let w(l) = z*o(l) + 9*b(l). Factor w(k).
(k - 2)**3
Let j(m) be the first derivative of 15*m**6/2 - 15*m**5 - 25*m**4/4 + 25*m**3 - 20*m - 74. Suppose j(z) = 0. What is z?
-2/3, 1
Let a(i) be the first derivative of -4*i**6/75 - 2*i**5/25 - i**4/30 - 6*i + 2. Let h(v) be the first derivative of a(v). Suppose h(l) = 0. Calculate l.
-1/2, 0
Let y = 2683/4 + -670. Find w, given that y*w - 1/4*w**2 - 1/2 = 0.
1, 2
Let m be 1577/171 - 18/2. Solve -4/9*y + 0 + 2/9*y**3 - m*y**2 = 0 for y.
-1, 0, 2
Let l(k) = 2*k**2 + 4*k + 2. Let m be l(-2). What is b in 9*b**3 - 2*b**2 + b**m - 5*b**2 - 3*b**5 = 0?
-2, 0, 1
Suppose -3*w + 28 = -0*w + 4*t, -3*w + 16 = t. Factor 3*u**2 - 2*u**4 - w*u**3 - 4*u**2 - u**2.
-2*u**2*(u + 1)**2
Suppose -s = 5*z - 19, -7 - 20 = -5*z - 3*s. Let -2 - 7*t - 3 - 2*t**2 + 3 + z*t = 0. What is t?
-1
Find p, given that 17*p**2 + 11 + 17*p**2 + 168*p - 54*p**2 - 75 = 0.
2/5, 8
Let p be (3 - ((-348)/40)/(-3))*16. Suppose 6 = 2*v - 0*v. Factor -6/5*j**2 + 2/5*j + 0 - p*j**v.
-2*j*(j + 1)*(4*j - 1)/5
Let u(t) = t**4 - t**3 + t - 1. Let l(n) = -20*n**5 - 22*n**4 + 94*n**3 - 40*n**2 - 10*n - 2. Let g(y) = -l(y) + 2*u(y). Find d such that g(d) = 0.
-3, -1/5, 0, 1
Let q = 36 + -34. Let s(v) be the second derivative of 0 + 0*v**4 - 1/3*v**3 - 2*v + 0*v**q + 1/10*v**5. Suppose s(u) = 0. What is u?
-1, 0, 1
Let l(b) be the second derivative of -b**6/180 + b**5/60 - b**3/3 - b. Let s(n) be the second derivative of l(n). Determine u, given that s(u) = 0.
0, 1
Let r(a) be the first derivative of a**4/54 - a**3/27 - 2*a**2/9 - a - 4. Let w(m) be the first derivative of r(m). Determine s so that w(s) = 0.
-1, 2
Let p(m) be the third derivative of -m**7/525 + m**6/900 + m**5/225 - 12*m**2. Let p(w) = 0. Calculate w.
-2/3, 0, 1
Let r(v) be the second derivative of 2*v**7/21 - 4*v**6/15 + v**5/5 + 5*v. Determine o, given that r(o) = 0.
0, 1
Let r be 2/(-3) + 0 + 3 + -1. Find c, given that 0*c**2 - 2/3 + 4/3*c + 2/3*c**4 - r*c**3 = 0.
-1, 1
Let j(x) = 2*x**2 - 4*x + 3. Let p be j(2). Let c(h) be the third derivative 