0 - k**5/60 + k**4/10 + 2*k**3/15 + 53*k**2. Solve w(q) = 0.
-2, -1, -1/3, 1, 2
Let y(q) = 2*q**2 - 18*q + 42. Let w be y(5). What is t in 4/7 - 2/7*t**3 - 10/7*t + 8/7*t**w = 0?
1, 2
Let o(i) be the first derivative of 1/2*i**2 - 2/3*i**3 + 0*i - 1 + 1/4*i**4. Determine w, given that o(w) = 0.
0, 1
Solve 6*z + 12 - 3/2*z**4 - 15/2*z**3 - 9*z**2 = 0 for z.
-2, 1
Let n(u) be the first derivative of -u**6/165 + u**4/33 - u**2/11 + 7*u - 1. Let v(o) be the first derivative of n(o). Determine l, given that v(l) = 0.
-1, 1
Suppose 11*r + 3 + 11*r**2 + 10*r**2 - 25*r**2 = 0. What is r?
-1/4, 3
Let w(c) be the first derivative of -c**3/6 - c**2/4 + 12. Factor w(u).
-u*(u + 1)/2
Let l(i) be the third derivative of -i**5/48 - 13*i**4/96 - i**3/4 - 33*i**2. Find q, given that l(q) = 0.
-2, -3/5
Let b be 38/171 - (-1)/36. Factor -b*n**5 + 0*n + 0*n**4 + 1/4*n**3 + 0 + 0*n**2.
-n**3*(n - 1)*(n + 1)/4
Let c be 3 + -3 - ((-19)/(-3) + -7). Let -c - 2/3*f**4 + 0*f + 0*f**3 + 4/3*f**2 = 0. What is f?
-1, 1
Suppose 3*r - 4*r + 27 = 5*n, -4*r + 13 = n. Let o(h) be the third derivative of 1/210*h**n + 0*h**3 + 0*h + 0*h**4 + h**2 + 0. Determine s so that o(s) = 0.
0
Factor 15*w**3 - 5*w**5 + 211*w**4 + 4*w**2 + 10*w + 21*w**2 - 216*w**4.
-5*w*(w - 2)*(w + 1)**3
Let n be (-6)/(-12) - (-42)/(-4). Let g be (-46)/n - (-16)/40. Determine l so that 1/2*l**g - 5/2*l + 2*l**3 - 1 + 2*l**4 - l**2 = 0.
-2, -1, 1
Let n be ((-248)/(-24) - -1) + 5. What is k in 28/3*k + n*k**2 + 4/3 = 0?
-2/7
Suppose -10 = k - 6*k. Factor k*z + 6*z + 6*z**2 + z**4 - 5*z**3 - 4*z - 8.
(z - 2)**3*(z + 1)
Let p be 3/102*(-124)/(-6). Let a = 1/17 + p. Find b such that 0*b**2 + 0*b - a*b**3 + 0 = 0.
0
Let y(b) = 1 - 4 + 1 - b. Let w be y(-4). Solve -6*j**w + 0*j + j**4 + j + 5*j**2 - j**3 = 0.
-1, 0, 1
Let h = -2 - -6. Factor 6*q**5 + 18*q**3 - h*q**2 - 32*q**2 - 39*q**4 + 13*q**4 + 26*q**3 - 2 + 14*q.
2*(q - 1)**4*(3*q - 1)
Factor 15*r**2 + 4 - 17*r + 23*r - 19*r**2 - 6*r**3.
-2*(r - 1)*(r + 1)*(3*r + 2)
Let k(w) be the third derivative of -3/220*w**6 - 3*w**2 - 9/44*w**4 + 1/1155*w**7 + 0*w**3 + 9/110*w**5 + 0 + 0*w. Factor k(s).
2*s*(s - 3)**3/11
Let k be (-6)/(-15)*(-3 - -4). Let b(u) be the second derivative of 1/60*u**4 - u + 0 - 2/15*u**3 + k*u**2. Let b(x) = 0. What is x?
2
Let n be (-1 + 0)/((-4)/(-8)). Let u = n - -6. Determine o, given that o**5 - 3/2*o**3 - 1/2*o**2 + 0 + 1/2*o**u + 1/2*o = 0.
-1, 0, 1/2, 1
Let h(n) be the third derivative of -n**7/280 - 7*n**6/480 - n**5/48 - n**4/96 + 2*n**2 - 21*n. Factor h(z).
-z*(z + 1)**2*(3*z + 1)/4
Let s(h) = -2*h**2 - 6*h - 16. Let t(v) = -2*v**2 - 7*v - 15. Let o(k) = -3*s(k) + 4*t(k). Factor o(r).
-2*(r + 2)*(r + 3)
Let j(z) = -76*z**3 - 144*z**2 - 188*z - 120. Let p(x) = 7*x**3 + 13*x**2 + 17*x + 11. Let k(a) = -3*j(a) - 32*p(a). Suppose k(y) = 0. Calculate y.
-2, -1
Let a(z) = -3*z**3 + 20*z**2 - 9*z + 3. Let q(y) = y**3 - 7*y**2 + 3*y - 1. Let t be 2/((-4)/(-26)) - 2. Let m(w) = t*q(w) + 4*a(w). Factor m(n).
-(n - 1)**3
Let g = 70 - 0. Let l be ((-4)/(-25))/(28/g). Factor -2/5*o**4 + 8/5*o**3 - 12/5*o**2 + 8/5*o - l.
-2*(o - 1)**4/5
Suppose z - 10 = -4*z. What is v in -36 + 3*v**z + 3*v + 36 = 0?
-1, 0
Let h = 419/30 - 41/3. Let s = 4/5 - h. Factor -x**2 - s + 5/4*x + 1/4*x**3.
(x - 2)*(x - 1)**2/4
Let f(x) = -x**2 - 3*x + 4. Let r(g) = -2*g**2 - 4*g + 3. Let m(o) = 3*o**2 + 6*o - 4. Let h(b) = -5*m(b) - 8*r(b). Let u(n) = -2*f(n) - 3*h(n). Factor u(w).
-(w - 2)*(w + 2)
Suppose -4*v + 20 = -4*c, 0 = -2*v - 0*v + 5*c + 16. Determine n so that -2 - v*n**5 + n**5 + n + 5*n - 4*n**2 + 6*n**4 - 4*n**3 = 0.
-1, 1
Suppose -24 = 2*l + 2*s, -2*l - 4*s + 7*s = 34. Let w = l + 16. Factor 2/5*t**3 + 0 - 2/5*t + 0*t**w.
2*t*(t - 1)*(t + 1)/5
Find i, given that -1/3 - 14/3*i**2 - 3*i**4 - 16/3*i**3 - 2/3*i**5 - 2*i = 0.
-1, -1/2
Let f(s) be the third derivative of 1/54*s**4 + 0 - 6*s**2 + 0*s + 1/18*s**3 + 1/540*s**5. Factor f(o).
(o + 1)*(o + 3)/9
Let s be (3 - 38/8)/((-56)/16). Determine o, given that -s*o - 3/2*o**3 + 1/2*o**4 + 3/2*o**2 + 0 = 0.
0, 1
Let n(g) be the first derivative of 3/2*g**2 + 0*g + 7 - g**3. Factor n(r).
-3*r*(r - 1)
Find b such that 12*b**3 - 3*b**4 + 8*b**2 - 6*b**5 - 5*b**4 - b**5 - 5*b**5 = 0.
-1, -2/3, 0, 1
Let m = 99/2 - 49. Factor 1/4*w**2 + 0 - m*w.
w*(w - 2)/4
Determine h so that 0*h**2 + 0*h + 1/3*h**5 + 1/3*h**3 - 2/3*h**4 + 0 = 0.
0, 1
Let g(y) = y**3 + 6*y**2 + y + 8. Suppose -4*l + 2*t = 7 + 7, -3*t = 3*l + 33. Let p be g(l). Factor -1/2*j**p + j - 1/2.
-(j - 1)**2/2
Factor 1 + 5/4*u**5 - 5*u + 31/4*u**2 - 7/4*u**4 - 13/4*u**3.
(u - 1)**3*(u + 2)*(5*u - 2)/4
Let d(v) be the third derivative of -v**8/4200 - v**7/525 - v**6/180 - v**5/150 - v**3/2 - 2*v**2. Let a(s) be the first derivative of d(s). Factor a(q).
-2*q*(q + 1)**2*(q + 2)/5
Let d(o) be the third derivative of o**8/420 + 2*o**7/105 + 3*o**6/50 + 7*o**5/75 + o**4/15 - 13*o**2. Factor d(m).
4*m*(m + 1)**3*(m + 2)/5
Factor -19*t**5 + 2*t**3 - 10*t**2 + 8*t**3 + 14*t**5 + 5 + 3*t**4 - 5*t + 2*t**4.
-5*(t - 1)**3*(t + 1)**2
Let f(s) = 7*s**2 + 7*s - 6. Suppose -i = -6 - 5. Let o(h) = -2 + i - 8*h - 2 - 8*h**2. Let r(k) = 7*f(k) + 6*o(k). Factor r(c).
c*(c + 1)
Suppose 0 = 8*w + 2*w - 50. Solve -1/2*f**w + 0*f - 1/2*f**2 + 1/2*f**3 + 0 + 1/2*f**4 = 0 for f.
-1, 0, 1
Let s(o) be the second derivative of 5*o + 1/2*o**2 + 0 + 1/6*o**3 + 1/48*o**4. Find a, given that s(a) = 0.
-2
Let x be 4/(-6) + (-310)/(-42). Let p = 437/63 - x. Find q, given that -4/9*q - p*q**2 - 2/9 = 0.
-1
Let z(s) be the second derivative of 0*s**4 - 2/3*s**3 + 1/20*s**5 + 0 - 3*s - 1/120*s**6 - s**2. Let g(d) be the first derivative of z(d). Factor g(u).
-(u - 2)**2*(u + 1)
Let x(p) be the second derivative of 1/60*p**5 + p + 1/12*p**4 - 3/2*p**2 + 0*p**3 + 0. Let h(n) be the first derivative of x(n). Factor h(c).
c*(c + 2)
Let y(j) be the third derivative of 0*j**3 + 0 - 1/105*j**7 + 0*j**4 + 0*j - 2*j**2 + 0*j**6 + 0*j**5. Factor y(r).
-2*r**4
Let n(y) be the third derivative of y**7/210 - y**6/24 + 7*y**5/60 - y**4/8 + 29*y**2. Determine f, given that n(f) = 0.
0, 1, 3
Let w(y) be the first derivative of -3*y**2 + 2/3*y**3 + 4*y + 5. Let w(b) = 0. Calculate b.
1, 2
Let y(z) = z**3 - 3*z**2 - z - 5. Let s be y(4). Suppose -4 = -2*j + 2*i, j - s - 3 = -3*i. Factor 0*h**2 - 2*h**2 + 3*h**5 - 2*h**5 - h + 2*h**j.
h*(h - 1)*(h + 1)**3
Suppose 4*j = 2*h + 14, h - 2*j + 1 = -2*h. Suppose -h*o + 12 = -2*n, -5*n = -3*o - 1 + 22. Suppose -2/7*k + 0 + 2/7*k**3 + 0*k**o = 0. Calculate k.
-1, 0, 1
Let f be 4 + (-7 - (-1 + -4)). Factor -2/11*w**3 + 0*w + 0 + 0*w**f - 2/11*w**4.
-2*w**3*(w + 1)/11
Suppose -3*y + 2*y = 2, -8 = -s + 4*y. Let i(j) be the third derivative of 3*j**2 + 0 + 0*j + s*j**5 - 1/12*j**4 + 1/60*j**6 + 0*j**3. Factor i(c).
2*c*(c - 1)*(c + 1)
Let t(k) = -4*k**2 - 16*k - 12. Let l(x) = 8*x**2 + 32*x + 23. Let p(b) = 4*l(b) + 9*t(b). Factor p(r).
-4*(r + 2)**2
Let x be 3/((-12)/(-16)) + 17. Let s = -19 + x. Determine g, given that -1/3*g**s - 1/3 - 2/3*g = 0.
-1
Let h(i) = 0 + i**3 - 4 + i + 3 - i**5. Let z = -8 + 4. Let p(y) = 3*y**5 + y**4 - 3*y**3 - y**2 - 4*y + 4. Let a(x) = z*h(x) - p(x). Solve a(g) = 0.
-1, 0, 1
Let h(z) be the second derivative of z**7/14 + z**6/5 - z**4/2 - z**3/2 - 3*z + 7. Factor h(s).
3*s*(s - 1)*(s + 1)**3
Solve 2*v**4 - 2*v**3 - 5 + 8*v - 20*v**2 + 21 + 6*v**4 - 2*v**5 = 0.
-1, 2
Let s(a) be the first derivative of a**4/4 - 4*a**3/3 + 5*a**2/2 - 2*a + 2. Solve s(b) = 0.
1, 2
Let b be -6 + ((-120)/(-3))/5. Determine u, given that -b*u**3 - 3*u - 1/2 - 9/2*u**2 = 0.
-1, -1/4
Let w be (-9)/(81/(-72))*2/4. Find q such that -2/5 - 1/5*q + 3*q**2 - 19/5*q**3 + 7/5*q**w = 0.
-2/7, 1
Suppose -3*l - 120 = -5*l. Factor -50*d**4 + 16*d + 3*d + 5*d - l*d**3 - 8 + 22*d**2.
-2*(d + 1)**2*(5*d - 2)**2
Let u = -59/10 - -13/2. Let -12/5*a - u*a**2 - 9/5 = 0. What is a?
-3, -1
Let j be 10 + 0 - (-9 - -12). Let z(k) be the third derivative of 1/350*k**j - 1/24*k**4 + 0*k + 1/120*k**6 - 1/300*k**5 + 0 - 2*k**2 - 1/15*k**3. Factor z(u).
(u - 1)*(u + 1)**2*(3*u + 2)/5
Let c(m) be the second derivative of -m**7/21 + 2*m**6/15 + 4*m**5/5 - 8*m**4/3 - 16*m**3/3 + 32*m**2 + 19*m. Solve c(l) = 0 for l.
-2, 2
Let s(d) be the third derivative of 2*d**7/105 - d**5/5 + d**4/3 + 7