 x.
-2, 1
Let n be (4/4)/((-2 - -3)/2). Suppose 0 = -2*y + 4*l, 7 = -y - 5*l + 21. Solve -3*g**3 + 0*g**5 - n*g**3 + g**3 + y*g**5 = 0 for g.
-1, 0, 1
Let i(d) = -d**3 + 3*d**2 - d - 1. Let m be i(2). Let q be 4/(-40)*(-1 - m). Factor 1/5*r**2 - q*r - 1/5*r**4 + 0 + 1/5*r**3.
-r*(r - 1)**2*(r + 1)/5
Suppose -325*r + 184 = -233*r. Let m be 0/1 - (-1)/4. What is o in o + 1 + m*o**r = 0?
-2
Find k, given that -232*k**3 - 8112 - 8739*k**2 - 3*k**4 - 9295*k - 86*k**3 - 3265*k - 3976*k = 0.
-52, -1
Let h(f) be the second derivative of 0 + 0*f**2 + 1/6*f**3 + 0*f**4 - 1/20*f**5 - 12*f. Let h(d) = 0. What is d?
-1, 0, 1
Let o(b) be the second derivative of -7*b**4/3 + 2*b**3 + 4*b + 9. Factor o(s).
-4*s*(7*s - 3)
Suppose -5*y = 5*n - 10, 2*n - 24 = 3*y - y. Suppose k = 3*b - 11, 11*b = n*b - 4*k + 4. Suppose -8/3*q - 4/3*q**b + 0 + 4*q**2 = 0. Calculate q.
0, 1, 2
Let t(z) be the first derivative of 34 + 1/5*z**6 + 6/5*z**4 + 0*z + 0*z**2 + 3/5*z**3 + 21/25*z**5. Factor t(g).
3*g**2*(g + 1)**2*(2*g + 3)/5
Let k(v) = v + 2. Let j be k(1). Factor j*g**4 + 10*g + 14*g**2 - 2*g**4 + 20*g**3 + 11*g**2 + 4*g**4.
5*g*(g + 1)**2*(g + 2)
Let s(a) be the second derivative of 363*a**4/4 - 11*a**3/2 + a**2/8 - a - 46. Factor s(j).
(66*j - 1)**2/4
Find z such that -22*z**3 + 36*z**2 - 28*z - 4*z - z**4 + 24*z**3 - 5*z**3 = 0.
-8, 0, 1, 4
Let t(b) be the second derivative of 49*b**6/160 - 63*b**5/40 + 15*b**4/8 - b**3 - 9*b**2/2 - b. Let r(g) be the first derivative of t(g). Factor r(z).
3*(z - 2)*(7*z - 2)**2/4
Let k be (-28)/(-6)*(1908/(-126) + 16). Determine l, given that l**k + 16/5*l**2 - 17/5*l**3 + 0 - 4/5*l = 0.
0, 2/5, 1, 2
Let z(q) = q + 7. Suppose 5 = -3*a + 2*a. Let u be z(a). Factor 0*i**u + 2/5*i**3 + 0*i + 0.
2*i**3/5
Let g(w) be the third derivative of 0*w + 0*w**6 + 0 + 0*w**5 + 0*w**3 + 1/504*w**8 + 0*w**4 + 0*w**7 + 21*w**2. Let g(u) = 0. What is u?
0
Let d be 10/(-25) - -3 - 10/(-25). Suppose 0 = -8*b + d - 3. Suppose 4/3*k - 2/3*k**2 + b = 0. What is k?
0, 2
Let s(w) be the second derivative of w**4/3 - 376*w**3/3 + 17672*w**2 + 95*w + 3. Determine t so that s(t) = 0.
94
Let g(a) = -a**3 - 18*a**2 + 19*a + 4. Let b be g(-19). Factor 31*f**4 - 3*f**5 + 138*f**2 - 80*f**3 - 38*f**3 - b*f**4 - 99*f + 27 + 28*f**3.
-3*(f - 3)**2*(f - 1)**3
Suppose -2*h + 6 = 0, b + 4*b - h - 22 = 0. Solve 3*w**b - 9*w**3 + 3*w**4 + 0*w + 0*w + 3*w**3 = 0.
-2, 0, 1
Let l(u) = -68*u**2 - 44*u + 400. Let b(y) = 14*y**2 + 9*y - 80. Let g(t) = -24*b(t) - 5*l(t). Factor g(p).
4*(p - 4)*(p + 5)
Let x(h) be the third derivative of h**6/18 - 8*h**5/15 + h**4/2 + 9*h**3/2 - 5*h**2. Let r(l) be the first derivative of x(l). Determine j so that r(j) = 0.
1/5, 3
Let h(c) = -c**2 + 19*c - 42. Let i be h(3). Let j(r) be the second derivative of 0*r**3 + 4/3*r**4 - 2/15*r**6 + 0*r**2 - i*r + 0 + 0*r**5. Factor j(m).
-4*m**2*(m - 2)*(m + 2)
Suppose 3*w + 5*j + 265 = 0, -2*w - 2*j = -j + 172. Let f = w + 259/3. Solve 1/3*z**4 + f + 4*z + 2*z**3 + 13/3*z**2 = 0 for z.
-2, -1
Let o(i) be the second derivative of -i**5/80 - i**4/48 + i**3/2 + 3*i - 2. Factor o(h).
-h*(h - 3)*(h + 4)/4
Let m be 13/(-15730)*-583 + (-2)/11. Let g(x) be the first derivative of -m*x**5 + 1/12*x**6 - 1/6*x**3 + 10 + 0*x + 0*x**2 + 3/8*x**4. Factor g(v).
v**2*(v - 1)**3/2
Let a be ((5 - 3) + (-352)/144)*6/(-4). Factor 2/3*o + a*o**2 - 4.
2*(o - 2)*(o + 3)/3
Let p(u) be the first derivative of 1/20*u**5 + 1/16*u**4 + 0*u + 0*u**2 + 7 - 1/6*u**3. Determine d, given that p(d) = 0.
-2, 0, 1
Suppose -n - 94 + 96 = 0. Factor 4/11*m**n - 2/11*m**4 + 0*m - 2/11 + 0*m**3.
-2*(m - 1)**2*(m + 1)**2/11
Suppose v + 5*q + 21 = 0, 5*v + 2*q = -2*q. Suppose v*k = 11*k + 4*k. Factor 0 + k*t - 1/3*t**2 + 1/3*t**3.
t**2*(t - 1)/3
Let z = 601/287 - -43/41. Let i = -228/77 + z. Factor 2/11*h**3 + 6/11*h**2 + i + 6/11*h.
2*(h + 1)**3/11
Suppose -a - 10*a - 429 = 0. Let i = -39 - a. Determine o so that 8/9*o**3 + 0*o**2 - 4/9*o**5 + 0*o - 4/9*o**4 + i = 0.
-2, 0, 1
Let v(o) be the second derivative of o**5/10 - 13*o**4/6 + 40*o**3/3 - 36*o**2 + 367*o. Find x, given that v(x) = 0.
2, 9
Factor 0*s + 2/3*s**3 - 2/9*s**5 + 0 + 0*s**4 + 4/9*s**2.
-2*s**2*(s - 2)*(s + 1)**2/9
Factor -3/4*b**2 + 18 + 15/2*b.
-3*(b - 12)*(b + 2)/4
Let q(i) be the second derivative of 0*i**2 - 5/12*i**4 + 0 + 5/3*i**3 - 33*i. Factor q(h).
-5*h*(h - 2)
Let v(q) be the second derivative of -2*q**3/3 - 14*q**2 - 31*q. Let p be v(-8). Factor 2/13*r**p + 0 - 2/13*r**2 + 0*r**3 + 0*r.
2*r**2*(r - 1)*(r + 1)/13
Let a(h) = 5*h**3 + 35*h**2 - 34*h + 6. Let l(j) = -45*j**3 - 315*j**2 + 305*j - 55. Let r(z) = 55*a(z) + 6*l(z). Factor r(q).
5*q*(q - 1)*(q + 8)
Let j(k) be the third derivative of k**8/36960 + k**7/1980 + k**6/360 + k**5/132 - k**4/6 - 20*k**2. Let m(r) be the second derivative of j(r). Factor m(f).
2*(f + 1)**2*(f + 5)/11
Let l(c) be the first derivative of 25*c + 1/3*c**3 - 2 - 5*c**2. Solve l(y) = 0.
5
Determine k so that -234/5*k**4 - 4/5 + 118/5*k**2 - 114/5*k**3 - 6/5*k = 0.
-1, -2/13, 1/3
Let a(g) be the first derivative of -g**6/120 + g**5/30 + 9*g**2/2 - 6. Let k(j) be the second derivative of a(j). Factor k(u).
-u**2*(u - 2)
Let c(j) be the third derivative of j**6/10 - j**5/15 - 25*j**4/2 + 50*j**3/3 - 4*j**2 + 6*j. Let c(z) = 0. Calculate z.
-5, 1/3, 5
Let c(g) = 8*g - 23. Let f(m) = -m + 1. Let z(w) = c(w) + 5*f(w). Let o be z(6). Factor o + 1/3*l**3 + 0*l**2 + 0*l.
l**3/3
Let r(n) = -n**3 - 3*n**2 + n - 8. Let w be r(-4). Suppose 5*i = w*l - 37, -l + 0*l + 23 = -4*i. Determine q, given that -2/3*q + 0 - 1/3*q**2 + 1/3*q**l = 0.
-1, 0, 2
Let p(t) be the second derivative of -t**7/168 - 13*t**6/40 - 399*t**5/80 - 361*t**4/48 - 32*t - 2. Factor p(u).
-u**2*(u + 1)*(u + 19)**2/4
Let i be 2/11 + -31*(-1)/11. Let t be (8/40)/(i/18). What is u in 2/5*u**4 + t*u - 4/5 - 6/5*u**3 + 2/5*u**2 = 0?
-1, 1, 2
Let s(f) be the first derivative of f**5/15 - f**4/36 - f**3/6 - 25*f - 42. Let p(b) be the first derivative of s(b). Solve p(x) = 0 for x.
-3/4, 0, 1
Let i(h) be the first derivative of h**4/16 - 11*h**3/2 - 135*h**2/8 - 17*h + 106. Factor i(a).
(a - 68)*(a + 1)**2/4
Suppose 5*x + 4*q = 2*x - 7, -3*x - 3*q = 6. Let n be 1 - -2 - x - 33/9. Factor 2/3*g - n*g**2 + 0.
-g*(g - 2)/3
Let q(n) be the second derivative of n**7/84 + 13*n**6/120 + 29*n**5/80 + 11*n**4/24 - n**3/6 - n**2 + 28*n - 1. Factor q(b).
(b + 1)*(b + 2)**3*(2*b - 1)/4
Let j be 12 + 2210/(-187) - (-12)/55. Factor -4*i + j*i**2 + 10.
2*(i - 5)**2/5
Let n(l) = 5*l**2 - 18*l - 47. Let t(b) = -4*b**2 + 18*b + 46. Let y(c) = 2*n(c) + 3*t(c). Factor y(h).
-2*(h - 11)*(h + 2)
Let g(i) be the first derivative of -4*i**5/25 + 7*i**4/5 - 59. Factor g(u).
-4*u**3*(u - 7)/5
Let r(s) be the second derivative of s**5/210 - s**4/14 + 8*s**3/21 + 5*s**2/2 - 31*s. Let a(u) be the first derivative of r(u). Solve a(v) = 0.
2, 4
Suppose -3*n - 7 = -4*u + 1, 2*u - n = 4. What is a in 2*a**2 - 129*a**4 - 4*a**u + 131*a**4 = 0?
-1, 0, 1
Let 3726/5*z - 64/5*z**4 - 4329/5*z**2 - 1104/5*z**3 - 729/5 = 0. What is z?
-9, 3/8
Let q(b) = -4*b**2 - 3*b + 1. Let v(m) = 0*m - 2*m**2 - 2*m + 2*m - 2*m. Let f(s) = -2*q(s) + 5*v(s). Let f(i) = 0. What is i?
-1
Let m = -206432/5 + 41287. Let -3/5*f + m*f**3 - 9/5 + 9/5*f**2 = 0. What is f?
-3, -1, 1
Let l(x) = -x**3 + 9*x**2 + 2*x + 222. Let c be l(11). What is g in -2/3*g**c + 0*g + 2/3 = 0?
-1, 1
Let s(p) be the second derivative of -p**4/132 + 21*p**3/11 - 3969*p**2/22 - 90*p. Determine z, given that s(z) = 0.
63
Let q(w) be the first derivative of 0*w**2 + 0*w**3 + w**4 - 2/5*w**5 + 0*w + 7. Solve q(z) = 0 for z.
0, 2
Suppose -3*j = 3*l + 9, 6*j - 4*j + 10 = 0. Factor -2/9*u**l - 2 - 4/3*u.
-2*(u + 3)**2/9
Let v(a) be the second derivative of -a**6/10 + 9*a**5/20 - 3*a**4/4 + a**3/2 + 50*a. Find t such that v(t) = 0.
0, 1
Let v = 76 - 47. Let p = -115/4 + v. Let 1/2*x - 1/4*x**2 - p = 0. Calculate x.
1
Let b be (-22)/132 + (-6)/(-4). Factor -4/3 - b*s - 1/3*s**2.
-(s + 2)**2/3
Let m be -2*(0 - 1)*(-6)/(-96). Let r(f) be the first derivative of -1/6*f**3 + 1 - m*f**4 + 1/2*f + 1/4*f**2. Determine l so that r(l) = 0.
-1, 1
Let y(d) = -3*d**2 + d + 2. Let u be y(-2). Let p be 4 - (0 - u/4). Determine q so that 6*q**2 - p + 3*q - 4*q**2 + 2*q**2 = 0.
-1, 1/4
Let r(n)