termine u so that n(u) = 0.
2/7, 2
Suppose -119*k = -552 + 76. Factor 9/4*f**3 - 9/4*f + 3/4*f**k - 3/2 + 3/4*f**2.
3*(f - 1)*(f + 1)**2*(f + 2)/4
Suppose -12*a - 10*a**2 + 2*a**3 + 42 + 46*a - 4*a**3 = 0. What is a?
-7, -1, 3
Let z(l) be the first derivative of 2*l**3/3 + 10*l**2 - 78*l - 520. Solve z(r) = 0.
-13, 3
Let d(s) = -s**2 - 5*s + 2. Let i be d(-5). Suppose 5*q + 5*y = 15, 3*q - 7 = -i*y - 2*y. Find p, given that -3*p + q*p**2 + 0*p - 3*p - 2*p**2 + 3 = 0.
1
Suppose 3*q = -0 + 6. Let l(m) be the first derivative of 2*m**q + 1 + 4*m**2 + 0*m - m**3 + m - 13*m. Let l(f) = 0. What is f?
2
Solve -5/2*j**3 + 3/2*j**4 - 4*j + 0 - 13*j**2 = 0 for j.
-2, -1/3, 0, 4
Let s be 28 + -37 + (-3 - 74/(-6)). Factor 1/2*i**3 - s*i**2 + 5/6*i**4 + 0*i + 0.
i**2*(i + 1)*(5*i - 2)/6
Let a be (-36)/(-14) + 18/42. Suppose 0*o + 0 - 1/4*o**2 - 25/4*o**4 - 5/2*o**a = 0. What is o?
-1/5, 0
Let n(i) be the second derivative of 2*i**7/189 - i**6/45 - 4*i**5/45 + 5*i**4/54 + 4*i**3/9 + 4*i**2/9 + 785*i. Let n(v) = 0. What is v?
-1, -1/2, 2
Let o(y) = -45*y**4 + 150*y**3 - 75*y**2 - 30*y. Let k(b) = 23*b**4 - 75*b**3 + 37*b**2 + 15*b. Let c(a) = 5*k(a) + 3*o(a). Determine j, given that c(j) = 0.
-1/4, 0, 1, 3
Let m(a) = 262*a**2 - 3*a + 1. Let c be m(2). Determine s, given that c*s**2 - 6 - 3*s**3 + 2*s - 1037*s**2 + s = 0.
-1, 1, 2
Factor 382/3 - 2/3*f**2 - 380/3*f.
-2*(f - 1)*(f + 191)/3
Let n = -31 + 31. Let q = 712 + -712. Factor 0 + q*t**2 + 0*t + 2/3*t**4 + n*t**3.
2*t**4/3
Let o = 9417 + -103701/11. Let g = o - -239/22. Factor 3/4*y**3 - y + 0 - g*y**4 + y**2 - 1/4*y**5.
-y*(y - 1)**2*(y + 2)**2/4
Let r = -77953/22 - -38982/11. Suppose r*b**2 + 14*b + 98 = 0. What is b?
-14
Let w(m) = 44*m + 91. Let v be w(-2). Let c(x) be the first derivative of 3 + 3/2*x**2 - x**v + 6*x. Factor c(a).
-3*(a - 2)*(a + 1)
Let d(t) be the third derivative of -t**8/13440 - t**7/5040 - 5*t**4/24 - 8*t**2. Let m(y) be the second derivative of d(y). Determine c so that m(c) = 0.
-1, 0
Let p(m) = m**2 + 12*m - 16. Let a be p(-13). Let z(r) = -r + 1. Let b(i) = i**2 + 3*i - 3. Let d(k) = a*z(k) - b(k). Suppose d(j) = 0. What is j?
0
Let k be 2*3/(18/6). Let q be (-1)/(6/(-36)*k). Determine s, given that 0*s + 10/3*s**4 - 32/3*s**q + 50/3*s**5 + 0 + 8/3*s**2 = 0.
-1, 0, 2/5
Let x(q) = q**2 + 7*q + 9. Let j be x(-6). What is b in 64 + 896*b**2 - 90*b**3 - 30*b**3 - 76*b**j - 464*b = 0?
2/7, 4
Let r = 1 - 1. Suppose 932*j + 46 = 955*j. Factor -5/2*o**3 - o**j + 3/2*o**4 + 0*o + r.
o**2*(o - 2)*(3*o + 1)/2
Let s(t) = 2*t - 4. Let h be s(4). Suppose 23*q**2 + 3*q**h - 25*q**2 - 18*q**3 - 19*q**2 = 0. Calculate q.
-1, 0, 7
Let s(q) be the second derivative of q**6/720 - q**5/24 + 25*q**4/48 - 17*q**3/6 - 15*q. Let z(n) be the second derivative of s(n). Solve z(o) = 0 for o.
5
Let -56*r + 14*r**2 + 77*r - 2*r**3 - 45*r = 0. What is r?
0, 3, 4
Factor 1/2*r**4 - 11*r**3 - 121/2 + 11*r + 60*r**2.
(r - 11)**2*(r - 1)*(r + 1)/2
Let y(z) be the third derivative of -1/420*z**6 + 1/84*z**4 + 0*z**5 + 0*z**3 + 0*z + 0 + 12*z**2. Suppose y(p) = 0. Calculate p.
-1, 0, 1
Let i(c) be the first derivative of 9 + 1/2*c**2 + 1/6*c**3 + 1/2*c. Factor i(h).
(h + 1)**2/2
Let s(i) = i**3 + 19*i**2 - 21*i - 14. Let j be s(-20). Factor j - 3*y**5 + 0*y**5 - 18*y + 12*y**3 + 9*y - 6*y**2.
-3*(y - 1)**3*(y + 1)*(y + 2)
Let v be (-155)/(-35) + (-16)/(-28). Let x(l) be the second derivative of 0 - 3*l + 1/12*l**3 - 1/40*l**v - 1/2*l**2 + 1/12*l**4. Determine p so that x(p) = 0.
-1, 1, 2
Suppose 48*h - 82*h = 0. Factor 1/2*p**3 + 1/2*p**2 + 0*p + h.
p**2*(p + 1)/2
Let g be 5/((-840)/(-236)) - (-20)/210. Let c(p) be the first derivative of 5*p**3 + 3*p + 2 - 6*p**2 - g*p**4. Factor c(j).
-3*(j - 1)**2*(2*j - 1)
Let j = -507 - -513. Let b(u) be the second derivative of 1/2*u**3 + 0*u**5 + 0 + 1/20*u**j + 0*u**2 - 2*u - 3/8*u**4. Factor b(c).
3*c*(c - 1)**2*(c + 2)/2
Let r(y) = -y**3 - 22*y**2 + 24*y + 25. Let s be r(-23). Factor -3*d**2 - s + 2*d**2 + 3*d**2.
2*(d - 1)*(d + 1)
Let p(f) be the second derivative of -7*f**4/6 + 5*f**3/2 - f**2/2 + 2*f + 22. Factor p(x).
-(x - 1)*(14*x - 1)
Let a be 53/212 + 10/(-8) + 1. Let p(d) be the third derivative of -d**2 + 1/24*d**3 + 0*d**4 - 1/240*d**5 + a + 0*d. Factor p(c).
-(c - 1)*(c + 1)/4
Find d such that 24/5 + 32/5*d**2 + 52/5*d + 4/5*d**3 = 0.
-6, -1
Let m(d) be the third derivative of 0*d + 0*d**4 + 1/60*d**6 + 0 + 7*d**2 + 1/150*d**5 + 0*d**3 + 4/525*d**7. Factor m(r).
2*r**2*(r + 1)*(4*r + 1)/5
Let q(l) = -3*l**3 - 4*l**2 + 3*l + 10. Let a(u) = -u**3 + u**2 + u + 2. Let z(n) = -2*a(n) + q(n). Find i such that z(i) = 0.
-6, -1, 1
Let m(u) be the second derivative of 0*u**2 + 1/5*u**5 - 2/3*u**3 + 0 + 3*u + 0*u**4. Factor m(n).
4*n*(n - 1)*(n + 1)
Let d(p) be the second derivative of -p**5/4 + 25*p**4/12 + 20*p**3/3 - 120*p**2 + 12*p - 26. Factor d(z).
-5*(z - 4)**2*(z + 3)
Let f(j) be the third derivative of j**11/554400 - j**10/252000 - j**9/50400 + 7*j**5/30 + 17*j**2. Let o(n) be the third derivative of f(n). Factor o(b).
3*b**3*(b - 2)*(b + 1)/5
Solve 4/7*z**3 + 0*z**2 + 2/7*z**5 + 0 + 0*z - 6/7*z**4 = 0.
0, 1, 2
Let r = 15 + -8. Suppose -q + r - 4 = 0. Factor 2*u + 0*u**4 - q*u**2 + u**4 + 0*u**4.
u*(u - 1)**2*(u + 2)
Let p(i) be the second derivative of i**5/190 - 13*i**4/57 + 43*i + 4. Factor p(z).
2*z**2*(z - 26)/19
Suppose -5 = 4*b - 29. Let m = -3 + b. Factor -3*o + 3/4 - 3/2*o**m + 15/4*o**2.
-3*(o - 1)**2*(2*o - 1)/4
Suppose 3/5*y**4 - y**3 - y**2 + 2/5*y**5 + 2/5 + 3/5*y = 0. What is y?
-2, -1, -1/2, 1
Let n(q) be the first derivative of -q**5/540 + 5*q**4/216 - q**3/9 - 13*q**2 - 2. Let c(o) be the second derivative of n(o). What is h in c(h) = 0?
2, 3
Factor 0 - 20/13*r**3 - 18/13*r**2 + 0*r - 2/13*r**4.
-2*r**2*(r + 1)*(r + 9)/13
Let m(t) = -8*t**3 - 25*t**2 - 37*t - 20. Let w be (-9)/(-2)*(-10)/(-15). Let n(s) = 7*s**3 + 25*s**2 + 38*s + 20. Let l(p) = w*n(p) + 2*m(p). Factor l(a).
5*(a + 1)*(a + 2)**2
Factor h + 0*h**3 - 3*h + 6*h**2 - 6 - h**3 + 3*h.
-(h - 6)*(h - 1)*(h + 1)
Let s(z) = -4*z**2 - 11*z + 121. Let c be s(-7). Factor 8/17 - 8/17*v + 2/17*v**c.
2*(v - 2)**2/17
Let y(w) = w**3 - 16*w**2 - 3*w + 60. Let p be y(16). Determine t, given that 46*t**2 + p + 14*t**3 + 4*t**3 + 3*t**4 + 36*t - 7*t**2 = 0.
-2, -1
Let b(o) be the second derivative of -o**4/8 - 35*o**3/2 - 3675*o**2/4 + 63*o - 1. Let b(t) = 0. Calculate t.
-35
Let s be -1 + 33/3 + 13 + -20. Factor 2/5*w**s + 0 - 2/5*w + 0*w**2.
2*w*(w - 1)*(w + 1)/5
Suppose -8 = -2*h - 2*h. Factor 19*q**2 + 45*q**3 + 132*q + q**h - 130*q + 5*q**3.
2*q*(5*q + 1)**2
Factor 220 + 213 - 5*r**4 + 5*r**2 - 433.
-5*r**2*(r - 1)*(r + 1)
Factor -16*c**2 + 4*c**3 + 64/3*c + 0 - 1/3*c**4.
-c*(c - 4)**3/3
Let k(c) be the third derivative of -1156*c**5/5 + 51*c**4 - 9*c**3/2 - 124*c**2. Factor k(v).
-3*(68*v - 3)**2
Let i(k) = 5*k - 2. Let n be i(5). Let r = 38 + -36. Let j**5 - 2*j**4 + n*j**2 - 23*j**r = 0. What is j?
0, 2
Let g(n) = -8*n - 62. Let j be g(-8). Suppose 12 - 12*o + 45*o**j + 39*o**2 - 81*o**2 = 0. What is o?
2
Suppose 5*q - 2492 = -2*q. Factor 9*f + 359*f**3 + 12*f**2 + 3 - q*f**3 - 3.
3*f*(f + 1)*(f + 3)
Find i such that -126 + 3*i**3 - 66*i**2 - 4*i**2 - 52*i**2 + 160*i + 95*i - 10*i**2 = 0.
1, 42
Let h be 1/(-2)*103/(-2)*4. Let r = 105 - h. What is a in 0*a + 3/2*a**3 - 9/4*a**4 + 3/4*a**r + 0 = 0?
-1/3, 0, 1
Let o = -28 + 28. Let j be (-100)/36 + 3 + o. Factor 1/3*i + j + 1/9*i**2.
(i + 1)*(i + 2)/9
Factor -8/17*f**2 + 2/17*f**4 + 0 - 2/17*f**3 + 8/17*f.
2*f*(f - 2)*(f - 1)*(f + 2)/17
Find m such that 21*m**3 + 39*m + 36/5 + 313/5*m**2 - 49/5*m**4 = 0.
-1, -3/7, 4
Let r be (7752/95)/(-17)*30/(-27). Suppose -r - 2/3*d**2 + 6*d = 0. What is d?
1, 8
Let m(r) be the third derivative of -r**8/3024 + r**7/945 - r**6/1080 - 2*r**2 + 36. Solve m(z) = 0.
0, 1
Suppose -9 + 236 = 98*p + 31. Find t such that 5*t**3 + 5/2*t + 5 - 25/2*t**p = 0.
-1/2, 1, 2
Let p = -23743 - -94973/4. Determine l, given that -p*l + 1/2 - 2*l**2 - 5/4*l**3 = 0.
-1, 2/5
Let s(a) = 12*a - 1. Let f be s(-1). Let t = 15 + f. Factor 0*i**2 + 4*i**t - 2*i - 4*i.
2*i*(2*i - 3)
Factor -7/2*c**2 + 0*c - 4*c**3 + 0 - 1/2*c**4.
-c**2*(c + 1)*(c + 7)/2
Let a = 19 - 18. Suppose -5 = -2*r - a. Factor 0*d**3 - 4*d**5 + 7*d**5 + 9*