+ 0 - 1/2*k**4 + 2*k**3.
-k*(k - 2)*(k - 1)**2/2
Let l(a) = -4*a**4 + 6*a**3 + a**2 - 6*a - 3. Let d(v) = 7*v**4 - 11*v**3 - 2*v**2 + 11*v + 5. Let m(x) = -3*d(x) - 5*l(x). Find j, given that m(j) = 0.
-1, 0, 1, 3
Let h be 720/90 + 0 + (-4)/(-2). Find u, given that -4*u + 2/5*u**2 + h = 0.
5
Let r(f) be the first derivative of f**4/14 - 18*f**3/7 + 50*f**2/7 - 673. Find d, given that r(d) = 0.
0, 2, 25
Let m(d) = 3*d + 37. Let s be m(12). Factor 3*r**4 - 73*r + s*r + 3*r**3.
3*r**3*(r + 1)
Let x(c) be the first derivative of 0*c**5 - 4/3*c**3 + 0*c**2 - 1/3*c**6 - 19 + 3/2*c**4 + 0*c. Determine d, given that x(d) = 0.
-2, 0, 1
Find b, given that -2*b**5 - 9*b**2 + 2*b**5 - 36*b - 38*b + 9*b**4 + 80*b - 3*b**5 - 3*b**3 = 0.
-1, 0, 1, 2
Let g(j) = 2*j**5 - j**4 - 30*j**3 - 31*j**2 - 10*j - 3. Let a(c) = -4*c**5 + c**4 + 62*c**3 + 63*c**2 + 20*c + 7. Let p(q) = 6*a(q) + 14*g(q). Factor p(k).
4*k*(k - 5)*(k + 1)**3
Let h(z) be the third derivative of -3/8*z**3 - 1/16*z**4 + 1/20*z**5 - 1/280*z**7 + 1/80*z**6 + 0 - 4*z - z**2. Suppose h(u) = 0. Calculate u.
-1, 1, 3
Let q(a) be the third derivative of a**6/540 - a**5/54 + a**4/36 + a**3/3 + 201*a**2. Find v such that q(v) = 0.
-1, 3
Let r = 12 - 7. Suppose -5*f + 3*f + 28 = r*q, 0 = 2*q + 5*f - 7. Factor -q - 6*o - 3/2*o**2.
-3*(o + 2)**2/2
Let w = -8 - -24. Suppose -8*d + 8 = 2*u - 6*d, 0 = 5*u - 4*d + w. Determine t, given that -1/4*t - 1/4*t**2 + u = 0.
-1, 0
Factor -310 - g**2 + 307 - 166 - 26*g.
-(g + 13)**2
Let v(o) = 13*o - 65. Let a be v(5). Factor 3/5*q**4 + 1/5*q**5 + 0 + 2/5*q**3 + 0*q + a*q**2.
q**3*(q + 1)*(q + 2)/5
Let r(h) be the third derivative of -h**7/630 + h**6/72 - h**5/60 - h**4/8 - 7*h**2 + 3*h. Factor r(o).
-o*(o - 3)**2*(o + 1)/3
Let y(f) = -f**2 + f - 2. Let n be y(2). Let l(t) = -t**2 + 13*t + 35. Let h(w) = 2*w**2 - 12*w - 36. Let q(p) = n*l(p) - 3*h(p). Factor q(s).
-2*(s + 4)**2
Let v(n) be the second derivative of n**6/15 - n**5/10 - n**4/3 + 79*n. Find z such that v(z) = 0.
-1, 0, 2
Let r be 12/(-33) + (-168)/(-462). Factor r*v + 3/4*v**5 + 9/4*v**4 - 3*v**2 + 0 + 0*v**3.
3*v**2*(v - 1)*(v + 2)**2/4
Let -855/4*z**4 - 525/4*z**3 - 27/4*z**5 + 1035/4*z**2 + 90*z - 93 = 0. What is z?
-31, -1, 2/3
Factor 71/11*i + 1/11*i**2 - 146/11.
(i - 2)*(i + 73)/11
Let q(c) be the second derivative of 1/10*c**5 - 7/3*c**4 - 25*c + 0 + 49/3*c**3 + 0*c**2. Find m, given that q(m) = 0.
0, 7
Determine n so that -1377511*n**3 + 27 + 79819*n**2 - 118*n - 2726*n + 186495*n**3 - 18*n + 21305*n**2 = 0.
3/106
Let y(h) be the first derivative of 13/5*h**3 - 12 + 3/5*h**2 + 7/10*h**6 + 0*h + 81/20*h**4 + 69/25*h**5. Solve y(c) = 0 for c.
-1, -2/7, 0
Let m(x) = 6*x - 10. Let q be m(2). Factor 4*z**3 - 37*z**2 + 16*z**q + 10*z**5 - 14*z**4 + 21*z**2.
2*z**3*(z - 1)*(5*z - 2)
Let h be 18 + -23 + -5 + 13. Factor -c - 5/2*c**2 + 0 - 2*c**h - 1/2*c**4.
-c*(c + 1)**2*(c + 2)/2
Suppose f + 26 = -0*f. Let o be -6 + 10 + f/8. Solve o*w + 1/2 + 1/4*w**2 = 0.
-2, -1
Find x, given that 13/2*x - 1/2*x**2 - 11 = 0.
2, 11
Let z(d) be the third derivative of d**5/140 - 11*d**4/56 - 6*d**3/7 - 279*d**2. Suppose z(w) = 0. Calculate w.
-1, 12
Let r(p) = -10*p**2 + 1975*p - 98005. Let g(n) = -5*n**2 + 988*n - 49003. Let l(u) = -5*g(u) + 2*r(u). Let l(o) = 0. Calculate o.
99
Find g, given that 61*g**3 + 3*g**2 + 4*g + 0*g**2 - 62*g**3 = 0.
-1, 0, 4
Determine g so that -52*g + 2/11*g**2 + 3718 = 0.
143
Let i(o) = -o**3 - 9*o**2 - 8*o + 2. Let u be i(-8). Suppose 2*b = -4*b + u*b. Suppose b*p + 24/5*p**4 - 14/5*p**5 - 4/5*p**2 + 0 - 6/5*p**3 = 0. Calculate p.
-2/7, 0, 1
Let z = -3679/330209 - -1/8187. Let v = 7631/726 + z. Solve -v*q**4 + 3*q - 3*q**3 + 21/2*q**2 + 0 = 0.
-1, -2/7, 0, 1
Let u = -133 + 135. Let f be (u/(-4)*-2)/((-5)/(-15)). Solve -z**2 + 4/3 - 4/3*z + 2/3*z**f + 1/3*z**4 = 0.
-2, 1
Let c = 90 - -63. Let g = -153 + c. Let 0*a + 2/7*a**3 + 2/7*a**4 + g + 0*a**2 = 0. Calculate a.
-1, 0
Let g be 15/(-2)*(-156)/195. Let s(x) be the third derivative of 0*x**5 + 0 + 6*x**2 + 0*x - 1/160*x**g - 1/4*x**3 + 3/32*x**4. Find d such that s(d) = 0.
-2, 1
Let -20 - b**2 + 5*b**2 - 494*b + 510*b = 0. Calculate b.
-5, 1
Suppose -2*a - 7 + 12 + 1 = 0. Factor 0*y**2 + 1/8*y**a - 1/8*y**4 + 0*y + 0.
-y**3*(y - 1)/8
Suppose 4*h + 30 = 3*u, 135*u - 140*u - 116 = 21*h. Suppose 8/15*v - 2/5*v**3 + 2/3*v**4 - 2/15*v**5 + 0 - 2/3*v**u = 0. What is v?
-1, 0, 1, 4
Suppose -2*a = -5*k + 6, 0 = -a + 2*a - 2. Suppose -k*w + 5*w = 6. What is j in 0*j**2 + j**2 + 0*j**w = 0?
0
Suppose 22*q = 24*q - 74. Let n = 39 - q. Let -w**n + 0 - 1/2*w**3 + 3/2*w = 0. What is w?
-3, 0, 1
Determine t, given that 3/4 - t + 1/4*t**2 = 0.
1, 3
Let t(g) be the first derivative of -5*g**3/2 + 9*g**2/2 + 530. Determine h so that t(h) = 0.
0, 6/5
Let f(p) = -p. Let l(d) = -2*d**2 - 16*d - 6. Let o(a) = -3*f(a) + l(a). Let t be o(-6). Suppose t - 3/5*x + 0*x**2 + 3/5*x**3 = 0. What is x?
-1, 0, 1
Let s(a) = 3*a**2 + 3*a - 2. Let i be s(1). Let p(z) be the second derivative of 0 + 1/70*z**5 + 4*z - 1/21*z**3 - 1/7*z**2 + 1/42*z**i. Factor p(o).
2*(o - 1)*(o + 1)**2/7
Let q(d) be the second derivative of -d**6/90 - 2*d**5/15 - 11*d**4/18 - 4*d**3/3 - 3*d**2/2 + 3*d + 4. Suppose q(f) = 0. Calculate f.
-3, -1
Let r be 315/(-81) + (-4)/(-1). Let m(u) be the first derivative of 3 + r*u**3 + 1/3*u**2 + 1/3*u. Find q such that m(q) = 0.
-1
Suppose 1 = u + 6. Let h be (u - -5) + (0 - -5). Determine b, given that -6*b**4 - 19*b**4 - b**2 + h*b**3 + 4*b + 17*b**2 = 0.
-2/5, 0, 1
What is g in 97*g**3 + 164/3*g**2 + 0 + 28/3*g + 130/3*g**4 - 25/3*g**5 = 0?
-1, -2/5, 0, 7
Let o be (1/(-1) + -1)*(432/16)/(-189). Solve -3/7 + o*b + 1/7*b**2 = 0.
-3, 1
Suppose -9 = -9*k + 6*k. Solve 3 - 12*z**2 - 7 + 4*z**k + 4 + 8*z = 0 for z.
0, 1, 2
Suppose -38*v + 18*v + 40 = 0. Let b be v - (18/32)/((-3)/(-4)). Solve z**4 + b*z**3 + 0*z + 1/4*z**5 + 0 + 1/2*z**2 = 0.
-2, -1, 0
Let m be (-1)/(150/20) + (2822/120)/17. Suppose -3/2*r + 1/4*r**2 + m = 0. What is r?
1, 5
Factor 6*a - 70*a**3 - 6*a + 67*a**3 - 30*a**2.
-3*a**2*(a + 10)
Let g(j) be the third derivative of -j**10/136080 + j**9/34020 - j**8/30240 - 5*j**4/12 - 7*j**2. Let w(v) be the second derivative of g(v). Factor w(q).
-2*q**3*(q - 1)**2/9
Suppose -f - 2*f + 28 = -w, -5*w - 4 = 2*f. Let m(r) = -r**2 - 4*r + 7. Let h be m(-5). Find v such that 8*v**3 - f*v**2 - 8*v - 6*v**h + 4*v + 0*v**3 = 0.
-1/4, 0, 2
Find j such that 46/3*j**4 + 2/9*j**5 - 272*j - 2312/9 + 2446/9*j**3 + 2174/9*j**2 = 0.
-34, -1, 1
Determine s so that -3/4*s**3 + 1/4*s**4 - 9/4*s**2 - 5/4*s + 0 = 0.
-1, 0, 5
Let r be 1/(-11 + (-5294)/(-480)). Factor 3/7*o**5 - 30/7*o**4 + 75/7*o**3 - r*o + 60/7*o**2 - 192/7.
3*(o - 4)**3*(o + 1)**2/7
Let r = 12643 - 63207/5. Solve 12/5*b - r + 8/5*b**2 = 0 for b.
-2, 1/2
What is o in 26/5*o**3 + 2/5*o**5 + 0*o + 16/5*o**4 + 12/5*o**2 + 0 = 0?
-6, -1, 0
Let d = 91 + -89. Factor -6*x + 3 - 3*x**d + 7*x**2 - x**2.
3*(x - 1)**2
Factor 13*m**2 - 57*m**2 + 3*m**4 + 24*m + 2*m**4 - 9*m**4 + 24*m**3.
-4*m*(m - 3)*(m - 2)*(m - 1)
Let s(y) = -2*y**3 + 22*y**2 - y. Let a be s(0). Let -8/3*i**2 - 4/9*i + a - 4*i**3 = 0. What is i?
-1/3, 0
Let -59 - 73 + 36 + 16*a**2 + 3*a**3 + 2*a**2 = 0. Calculate a.
-4, 2
Let q(k) be the first derivative of k**6/480 + k**5/80 + 2*k**3 - 15. Let p(d) be the third derivative of q(d). Find z such that p(z) = 0.
-2, 0
Suppose 6*b + 2 = 7*b. Solve -27*s**b - 3*s + 14*s**2 + 10*s**2 = 0.
-1, 0
Let u = -1/3431 + 6869/24017. Let c = 1 + 1. Factor -u*o**3 - 6/7*o**c - 6/7*o - 2/7.
-2*(o + 1)**3/7
Let g(h) = 2*h**2 + 47*h + 33. Let m(p) = -2*p**2 - 50*p - 32. Let r(i) = -4*g(i) - 3*m(i). What is b in r(b) = 0?
-18, -1
Let d(k) be the second derivative of -1/54*k**4 - 8*k - 1/9*k**3 + 0 - 2/9*k**2. Factor d(c).
-2*(c + 1)*(c + 2)/9
Let d be ((-5)/2)/(-1*8/16). Let i(c) be the second derivative of -1/80*c**5 + d*c + 1/8*c**2 + 0 + 1/24*c**3 - 1/48*c**4. Solve i(z) = 0.
-1, 1
Let b(v) = -3*v**3 - v**2 - v. Let x be b(-1). Factor -16*z**2 - 8 - 2*z**x - 9*z - 3*z**3 + z**3 - 11*z.
-4*(z + 1)**2*(z + 2)
Let a(n) be the second derivative of -11*n**6/30 - 14*n**5/5 - 31*n**4/4 - 26*n**3/3 - 2*n**2 - 53*n + 4. Factor a(d).
-(d + 1)*(d + 2)**2*(11*d + 1)
Let r = -16 + 27. Find o, given that -25 - r*o**2 + 0 - 