- 8*l**4 + 33*l**4 = 0. Calculate l.
-1, 1
Let u(d) = -240*d**2 - 1680*d + 1665. Let c(w) = 17*w**2 + 120*w - 119. Let t(o) = -85*c(o) - 6*u(o). Solve t(v) = 0.
-25, 1
Factor 2/11*m**5 + 0 + 0*m**2 + 6/11*m**4 + 4/11*m**3 + 0*m.
2*m**3*(m + 1)*(m + 2)/11
Let q(f) = f**4 + 10*f**3 + 9*f**2 + 12*f + 2. Let w(l) = -3*l**3 + 85*l + 4*l**3 - 84*l. Let u(o) = -q(o) + 5*w(o). What is k in u(k) = 0?
-2, -1
Let a(p) be the third derivative of 2*p**7/105 + 7*p**6/100 - p**5/30 - p**4/5 + 4*p**3/15 - 16*p**2 + 1. Find n such that a(n) = 0.
-2, -1, 2/5, 1/2
Let k(p) be the first derivative of p**4/2 - 14*p**3/3 - p**2 + 14*p + 74. Factor k(s).
2*(s - 7)*(s - 1)*(s + 1)
Suppose 137*w - 12 + 12 = 0. Let s = -133/44 - -36/11. Determine y so that s*y**2 + 0 + w*y = 0.
0
Let m(a) = -126*a**2 + 20*a - 8. Let t(o) = 42*o**2 - 7*o + 3. Let q be -2 + (-2 + -2 - -3). Let f(v) = q*m(v) - 8*t(v). Solve f(u) = 0 for u.
0, 2/21
Suppose -14*g + 22*g = -9*g. Solve -1/2*y**2 + 0*y + g = 0 for y.
0
Let m(y) = y**4 - y**2 + y. Let j(l) = 2*l**4 - 21*l**3 - 59*l**2 - 55*l - 24. Let q(i) = j(i) - 5*m(i). What is z in q(z) = 0?
-2, -1
Let a(n) be the first derivative of -1/6*n**4 - 4/3*n**3 + 0*n + 1/15*n**5 - 5/2*n**2 + 5. Let u(y) be the second derivative of a(y). Factor u(q).
4*(q - 2)*(q + 1)
Suppose 0 = -28*d + 21*d - 189. Let w = d + 29. Find v, given that 2/3*v + 4/3*v**3 + 5/3*v**w + 0 + 1/3*v**4 = 0.
-2, -1, 0
Suppose g + 4 = 0, 7*c - 3*c = g + 72. Determine h, given that h**2 + 6*h - 13*h**3 + 2*h**4 + 7*h**5 - 20*h**2 + c*h**4 = 0.
-3, -1, 0, 2/7, 1
Factor -2*f**4 - 11/2*f + 1 + 9*f**2 + 3/2*f**5 - 4*f**3.
(f - 1)**3*(f + 2)*(3*f - 1)/2
Let u = 1/451 + 4503/3157. Factor -8/7*s + 2/7*s**2 - u.
2*(s - 5)*(s + 1)/7
Let d(g) be the third derivative of -6*g**2 + 1/15*g**5 - 2/3*g**4 + 0*g + 8/3*g**3 + 0. Factor d(i).
4*(i - 2)**2
Let b(j) be the first derivative of j**5/240 - j**4/96 - 8*j**2 + 16. Let c(k) be the second derivative of b(k). Factor c(l).
l*(l - 1)/4
Suppose -49 = -5*u - 34. Solve 2*q**4 + q**2 + 2*q**4 + 4*q**2 - q**2 + 8*q**u = 0 for q.
-1, 0
Let c(w) be the first derivative of 4*w**3/3 - 32*w**2 - 68*w - 333. Determine p, given that c(p) = 0.
-1, 17
Let a(n) be the second derivative of 1/42*n**4 + 81/7*n**2 + 0 - 6/7*n**3 - 23*n. Find j, given that a(j) = 0.
9
Factor 10/7*w**5 + 18/7*w + 68/7*w**3 - 2/7 - 6*w**4 - 52/7*w**2.
2*(w - 1)**4*(5*w - 1)/7
Let v(d) be the first derivative of 5*d**6/6 + 5*d**5 + 5*d**4 - 80*d**3/3 - 80*d**2 - 80*d - 41. Suppose v(w) = 0. Calculate w.
-2, -1, 2
Let w(l) be the first derivative of l**6/60 + l**5/40 - l**4/24 - l**3/12 - 19*l - 9. Let b(x) be the first derivative of w(x). Let b(s) = 0. Calculate s.
-1, 0, 1
Suppose -81*m + 1 = -971. Let b(i) be the first derivative of -m + 5/6*i**2 + 5/2*i**4 + 5/18*i**6 + 0*i - 20/9*i**3 - 4/3*i**5. Let b(g) = 0. What is g?
0, 1
Let m(b) be the third derivative of -1/12*b**4 + 0*b - 7/240*b**6 + 1/6*b**5 + 13*b**2 + 0*b**3 - 3/140*b**7 + 0. Let m(y) = 0. What is y?
-2, 0, 2/9, 1
Suppose 5*h**4 + 40 - h**2 + 9*h**2 - 27*h**3 - 38*h**2 + 20*h + 22*h**3 = 0. Calculate h.
-2, -1, 2
Suppose 3*g = -3*t, 5*g + 16 = 4*t + 34. Let 22*r**2 - 8 - 12*r + 8*r**2 + 0*r**g - 28*r**3 + 18*r**2 = 0. What is r?
-2/7, 1
Let g(f) be the second derivative of -f**5/54 + 11*f**4/108 - 2*f**3/27 + 7*f**2/2 + 14*f. Let x(k) be the first derivative of g(k). Solve x(m) = 0.
1/5, 2
Let m = 6/9013 - -1453/11356380. Let q(i) be the third derivative of 0*i + 0*i**6 + 0*i**4 + 0*i**3 + 0 - 6*i**2 - m*i**7 + 1/360*i**5. Let q(g) = 0. What is g?
-1, 0, 1
Let u(d) be the first derivative of d**4/12 + 7*d**3/9 + 5*d**2/2 + 3*d + 173. Find t, given that u(t) = 0.
-3, -1
Let d be (-45)/75 - (-42)/(-5). Let j be (d/12)/((-19)/(-12) - 2). Determine p, given that 3/5*p**4 + j*p**2 + 0 + 3/5*p + 9/5*p**3 = 0.
-1, 0
Let g(h) = h**2 + 13*h - 88. Let n be g(-18). Factor 4/3*q + 20/3*q**n - 20/3 - 4/3*q**3.
-4*(q - 5)*(q - 1)*(q + 1)/3
Let z be -7 + 2 + (-4)/(720/(-924)). Factor -2/15*d**3 - z*d + 0 - 4/15*d**2.
-2*d*(d + 1)**2/15
Let t be 4 - -3 - 8*(-2)/(-4). Let l be t/30 - -4*(-2)/(-20). Factor 1/4*u + 0 + l*u**2.
u*(2*u + 1)/4
Let m = 1440 - 10103/7. Let w = m - -143/35. Let -2/5*u**2 + w + 2/5*u = 0. What is u?
-1, 2
Suppose 8 = -9*u + 26. Solve -u*r + 11*r - 4*r**2 + 16*r**2 + 2*r**3 + r = 0 for r.
-5, -1, 0
Let c(a) be the first derivative of -20*a**2 + 50*a - 19/6*a**3 - 1/8*a**4 - 22. Let c(x) = 0. What is x?
-10, 1
Let w be (71 - 72) + (7/4)/1. Let 3/4*n**3 - 3/8*n**2 - w*n + 0 + 3/8*n**4 = 0. What is n?
-2, -1, 0, 1
Let k(t) = -5*t**4 - 32*t**3 + 19*t**2 + 114*t - 76. Let u(m) = -2*m**3 - m**2 - m - 1. Let i(j) = -k(j) - 4*u(j). What is f in i(f) = 0?
-8, -2, 1
Let f = 15793/30 + -2628/5. Find v such that 5/3*v**3 - 5/3 - 5/6*v - 5/3*v**4 + 10/3*v**2 - f*v**5 = 0.
-2, -1, 1
Let m(z) = z**3 + 4*z**2 + 3*z + 2. Let u be m(-2). Suppose 2*h - 3 + 2 = 3*b, -3*b - 17 = -u*h. Factor -4*g + 4*g**2 - 6*g**4 + 2*g**2 - 3*g**5 - h*g + 15*g.
-3*g*(g - 1)*(g + 1)**3
Let v = -119 + 125. Factor -595*b**2 + 3*b**3 + b**4 - 17*b + 586*b**2 + 2*b + 2*b**4 - v.
3*(b - 2)*(b + 1)**3
Let f(j) be the second derivative of j**4/54 - 10*j**3/27 + 25*j**2/9 + j - 2. Factor f(s).
2*(s - 5)**2/9
Factor 20/9*o + 22/9*o**2 + 2/9*o**3 + 0.
2*o*(o + 1)*(o + 10)/9
Let h(z) be the first derivative of 18*z**5/5 + 75*z**4/2 + 356*z**3/3 + 148*z**2 + 80*z + 213. Factor h(k).
2*(k + 2)*(k + 5)*(3*k + 2)**2
Let y be -4 + (-3)/(9/(-12)). Suppose y*f + 0*f = -3*f. Solve 0 + f*q - 2/9*q**2 = 0.
0
Let r(z) be the third derivative of -z**8/504 - z**7/63 - z**6/30 + 2*z**5/45 + 2*z**4/9 + 47*z**2. Factor r(x).
-2*x*(x - 1)*(x + 2)**3/3
Let w = -72 - -84. Suppose 8*a - 4*a + w = 0, -17 = -n + 5*a. Solve -1/2*q**5 - 9*q**n + 7/2*q**4 + 27/2*q + 27/2 - 5*q**3 = 0.
-1, 3
Let q(z) be the third derivative of -z**7/560 - 9*z**6/320 - 29*z**5/160 - 39*z**4/64 - 9*z**3/8 + 2*z**2 + 96*z. Suppose q(v) = 0. Calculate v.
-3, -2, -1
Find h such that 3*h**5 - 96 + h**2 + 39*h**3 - 35*h**2 + 24*h**4 - 192*h - 44*h**2 = 0.
-4, -1, 2
Let b be (-39)/(-26) + 4/(-4). Let v(k) be the third derivative of -1/20*k**5 + 0 - 8*k**2 - 1/4*k**4 - b*k**3 + 0*k. Solve v(h) = 0.
-1
Let w(d) be the second derivative of 27*d + 0 - 1/4*d**4 - 3/2*d**2 - d**3. Suppose w(r) = 0. What is r?
-1
Let n(d) be the third derivative of -d**6/540 + 17*d**5/90 - 4*d**4/9 - 100*d**3/27 + 38*d**2 + 6*d. Factor n(p).
-2*(p - 50)*(p - 2)*(p + 1)/9
Suppose -345*f = -353*f + 24. Factor 0*y**f + 2/9*y**2 + 0*y - 2/9*y**4 + 0.
-2*y**2*(y - 1)*(y + 1)/9
Let y(s) be the second derivative of -3*s**5/100 + 2*s**4/5 - 2*s**3 + 24*s**2/5 - 238*s. Solve y(w) = 0 for w.
2, 4
Let t(y) be the second derivative of -1/3*y**3 - 2/5*y**2 - 23*y + 0 + 1/10*y**4. Let t(c) = 0. Calculate c.
-1/3, 2
Let a(p) = 5*p**4 + 119*p**3 - 171*p**2 + 217*p - 71. Let w(g) = -g**4 - 28*g**3 + 43*g**2 - 54*g + 18. Let o(h) = -2*a(h) - 9*w(h). Factor o(i).
-(i - 10)*(i - 2)*(i - 1)**2
Let m be ((-3)/(-6) + -1)/(-6 - (-138)/24). Suppose -1/5*k**m - 4/5 + k = 0. What is k?
1, 4
Let a(m) be the first derivative of -m**3/15 + 2*m**2 + 44*m/5 + 224. Suppose a(l) = 0. What is l?
-2, 22
Factor 72*c - 35*c**2 - c**3 - 312*c - 320 - 25*c**2 - 4*c**3.
-5*(c + 4)**3
Let b(u) = 9*u**2 - 26*u - 15. Let g(k) = -2*k**2 + 2*k - 1. Let y(c) = -5*b(c) - 20*g(c). Factor y(x).
-5*(x - 19)*(x + 1)
Let s be 2/6*-9 + (-11 - -16). Factor -16/7*v + 32/7 + 2/7*v**s.
2*(v - 4)**2/7
Factor 3/2*i + 1/10*i**3 + 7/10*i**2 + 9/10.
(i + 1)*(i + 3)**2/10
Let i(q) be the second derivative of -3*q**6/10 + 6*q**5/5 + 3*q**4/4 - 6*q**3 - 6*q**2 + 7*q + 7. Find a, given that i(a) = 0.
-1, -1/3, 2
Suppose 4*n = 3*k - 10, -5*n + 9*n + 4*k = 4. Let g be -2 - (0 + n) - -9. Suppose -60/7*p**2 - 16/7 - 18/7*p**3 - g*p = 0. Calculate p.
-2, -2/3
Let b be (-142 - -132)*(5/(-25))/((-12)/(-10)). Solve 0 + 2/3*k**2 + k**4 + 0*k + b*k**3 = 0 for k.
-1, -2/3, 0
Suppose 1/2*c**5 - 3*c**4 + 0*c + 5/2*c**3 + 0*c**2 + 0 = 0. Calculate c.
0, 1, 5
Let x(w) = -40*w**2 - 201*w - 25. Let y(n) = -40*n**2 - 200*n - 25. Let g(d) = -5*x(d) + 4*y(d). Find m such that g(m) = 0.
-5, -1/8
Let w(l) be the first derivative of 9*l**5/100 - l**4/10 + 12*l - 4. Let t(j) be the first derivative of w(j). Solve 