**2/2
Let q(r) be the first derivative of -3*r**5/10 + 5*r**3/2 - 6*r + 103. Solve q(d) = 0 for d.
-2, -1, 1, 2
Let u(v) be the third derivative of -v**5/60 - v**4/24 - v**3/6 + 7*v**2. Let a(s) = 4*s**3 - 14*s**2 - 14*s - 4. Let z(i) = -a(i) + 8*u(i). Factor z(j).
-2*(j - 2)*(j + 1)*(2*j - 1)
Suppose o + 2 = 5. Factor -114*y**3 + 57*y**2 + 92*y**4 + 6*y**o - 5*y**2 - 8*y - 28*y**5.
-4*y*(y - 1)**3*(7*y - 2)
Let l be (-3 - -4)/(3/12). Suppose l*p - 15 = -3. Factor 3*c + 8 + 3*c**2 - 3*c**3 - 8 - p + 0*c**3.
-3*(c - 1)**2*(c + 1)
Let g(v) be the second derivative of v**4/4 + 13*v**3/2 + 45*v**2 + 4*v - 22. Suppose g(x) = 0. Calculate x.
-10, -3
Let y be ((-6)/84)/(-7 - 555/(-80)). Suppose -8/7*i**4 - 12/7*i**3 - y*i**2 - 2/7*i**5 - 2/7*i + 0 = 0. Calculate i.
-1, 0
Let n(m) be the second derivative of -m**7/189 - m**6/135 + m**5/18 + m**4/54 - 8*m**3/27 + 4*m**2/9 + 20*m. What is r in n(r) = 0?
-2, 1
Let b(s) = s**3 - s. Let x(g) = -g**3 - 16*g**2 + 30. Let z(f) = -2*b(f) - x(f). Let r be z(16). Determine y so that -2/5*y + 2/5 - 2/5*y**r + 2/5*y**3 = 0.
-1, 1
Let l(v) be the third derivative of v**7/5040 - v**6/180 + v**5/15 + 19*v**4/24 + 12*v**2. Let q(f) be the second derivative of l(f). Find z such that q(z) = 0.
4
Let i(g) = g**4 + g**3 + g + 1. Let u(d) = -2*d**4 - 29*d**3 + 36*d**2 - 5*d - 5. Let x(j) = -5*i(j) - u(j). Solve x(c) = 0.
0, 2, 6
Let f(j) = j**4 - 3*j**3 - 16*j**2 + 2*j. Let y(c) = 3*c**2 - c. Let p(q) = f(q) + 2*y(q). Determine w, given that p(w) = 0.
-2, 0, 5
Let f be (125/32 + -4)/(-5 - (-531)/108). Let -f - 11/4*t**2 - t**3 - 3*t - 1/8*t**4 = 0. Calculate t.
-3, -1
Suppose 4*i + 8*w = 3*w + 12, 0 = -3*i - 3*w + 12. Determine b, given that -23 + 4*b**2 + i - b + 25*b - 13 = 0.
-7, 1
Let h = 1036/45 + -206/9. Let l(b) be the first derivative of 7 - 8/15*b**3 - 2/5*b**4 + h*b**6 + 4/25*b**5 + 4/5*b + 2/5*b**2. Suppose l(t) = 0. What is t?
-1, 1
Factor z**4 + z**2 + z**2 - 22*z**3 + 25*z**3 - 3*z - 3*z**2.
z*(z - 1)*(z + 1)*(z + 3)
Suppose 0 = 5*j - 1 + 11. Let w be (-2)/(-2) - j*4/16. Solve 3*y - 1 - 1/4*y**4 - 13/4*y**2 + w*y**3 = 0 for y.
1, 2
Let x be (-2)/1*(-1)/(-4)*-6. Find a, given that -96*a - 4*a**4 - 78*a**3 + 92*a**x - 46*a**3 - 88*a**2 - 36 = 0.
-3, -1
Find z, given that -200*z - 241*z - 159*z + 5*z**2 + 18000 + 0*z**2 = 0.
60
Factor 12*n**2 + 243/7*n**5 - 54*n**4 + 39/7*n**3 + 12/7*n + 0.
3*n*(n - 1)**2*(9*n + 2)**2/7
Let x(i) be the third derivative of -i**7/1155 - i**6/132 - i**5/110 + 5*i**4/132 + 4*i**3/33 + 39*i**2 + 2*i. Solve x(j) = 0 for j.
-4, -1, 1
Determine v, given that 9/4*v**3 + 0 + 3/4*v**4 + 0*v**2 - 3*v = 0.
-2, 0, 1
Let l(w) be the first derivative of -7/30*w**6 - 8/3*w**3 - 6/5*w**5 - 2/5*w - 1 - 5/2*w**4 - 3/2*w**2. Let l(i) = 0. Calculate i.
-1, -2/7
Suppose -z + 2 = a, 3*a - 6 = -4*z + 6*z. Let y(l) be the second derivative of 0 - 4/21*l**3 - 2/21*l**4 + z*l**2 - 1/70*l**5 + 5*l. What is v in y(v) = 0?
-2, 0
Let j = -963677 + 2651075647/2751. Let u = j - -2/131. Factor -u + 4/21*k - 2/21*k**2.
-2*(k - 1)**2/21
Let q be 2/(-7) - 233/(-7). Suppose -4*l = -16, 4*p + 9 = -4*l + q. Find j such that -6*j**p - 15 + 13*j**3 + 13 + 13*j - 18*j**2 - 4*j**3 = 0.
1/3, 2
What is k in 354 + 236*k + 4*k**3 + 88*k**2 + 337 - 539 = 0?
-19, -2, -1
Let u(p) = -p**2 + 12*p + 15. Let f be u(13). Suppose b = -3*h + 11 + 1, 4*h = -f*b + 16. Find z, given that 1/3*z**2 + b + 1/3*z = 0.
-1, 0
Let q(h) be the second derivative of h**5/80 + h**4/12 - 15*h**3/8 + 6*h - 15. Factor q(u).
u*(u - 5)*(u + 9)/4
Factor 5*x**2 - 82*x**4 + 7*x**2 - 3*x**3 + 12*x + 79*x**4.
-3*x*(x - 2)*(x + 1)*(x + 2)
Let s be 35*(-2)/(-20) + -2. Let d(z) be the first derivative of 3 + s*z**2 + 0*z - z**3. Factor d(l).
-3*l*(l - 1)
Suppose 124*q - 151*q = 6 - 141. Factor -180/11*z**3 - 54/11*z**q + 2/11 + 92/11*z**2 - 2*z + 162/11*z**4.
-2*(z - 1)**2*(3*z - 1)**3/11
Let d(x) = -16*x**2 + 0*x**2 - 11*x - 16 + 28*x. Let i(t) = t + 1. Let u(g) = -4*d(g) - 28*i(g). Find a, given that u(a) = 0.
3/4
Let u(f) = -30*f**4 + 30*f**3. Let z(w) be the third derivative of w**7/42 - w**6/24 - 6*w**2. Let l(y) = 6*u(y) + 35*z(y). Find t, given that l(t) = 0.
0, 1
Let g(q) be the first derivative of -29*q**3 + 12*q**2 + 20 - 2*q**6 + 21/5*q**5 + 21/2*q**4 + 12*q. Find p, given that g(p) = 0.
-2, -1/4, 1, 2
Let h be (2/6)/(36/54). Let a(o) = o**3 + 9*o**2 + 26*o + 24. Let j be a(-4). What is d in -1/4*d**4 - 1/2*d**3 + 1/4 + j*d**2 + h*d = 0?
-1, 1
Let c(m) be the first derivative of -m**5/15 + 21*m**4/4 - 61*m**3/9 - 21*m**2/2 + 62*m/3 + 227. Determine v so that c(v) = 0.
-1, 1, 62
Let i(r) be the first derivative of r**3 + 21*r**2 + 39*r + 275. Factor i(w).
3*(w + 1)*(w + 13)
Let t(c) be the third derivative of c**8/336 + 4*c**7/105 + 17*c**6/120 + c**5/6 - 148*c**2. Suppose t(p) = 0. Calculate p.
-5, -2, -1, 0
Let a(r) = 2*r - 125 - r**2 - 21*r + 110. Let x be a(-18). Factor 0*t + 2/19*t**4 + 2/19 - 4/19*t**2 + 0*t**x.
2*(t - 1)**2*(t + 1)**2/19
Let t be (-11)/7*-1 - 3/(-7). Suppose 0 = t*c - 8, -u - u + 8 = 2*c. Suppose 0*k**3 - 4/3*k**5 - 2*k**4 + u + 0*k + 2/3*k**2 = 0. Calculate k.
-1, 0, 1/2
Let m be ((-11)/(-4))/(-2 - (-75)/36). Let -12 - 6 - 2 + 20*b - 18*b**2 + m*b**2 = 0. Calculate b.
-2, 2/3
Solve -4/3*g**2 - 1444/3 + 152/3*g = 0.
19
What is i in 72 - 3*i**2 - 48*i - 47*i - 18*i**2 - 55*i - 9*i = 0?
-8, 3/7
Let l(j) = j**2 + 6*j - 5. Let k be l(-7). Factor -6*o + 7*o - 6*o**2 + 7*o**2 - k*o.
o*(o - 1)
Factor 438/5*s - 3/5*s**2 - 15987/5.
-3*(s - 73)**2/5
Find d, given that 5/2*d - 5/2*d**2 + 15 = 0.
-2, 3
Suppose -25*m - 8 = -23*m. Let w be 1 + m/(-6)*(-612)/(-96). Let -65/4*j**3 - j - 31/2*j**4 - 7*j**2 + 0 - w*j**5 = 0. Calculate j.
-1, -2/3, -2/7, 0
Let m(o) be the first derivative of o**5/30 - o**4/3 + 8*o**3/9 - 500. Factor m(t).
t**2*(t - 4)**2/6
Let u(c) = -3*c**2 + 26*c + 15. Let r(n) = 2*n**2 - 24*n - 14. Let t(h) = -7*r(h) - 6*u(h). Find j, given that t(j) = 0.
-2, -1
Suppose -4*m = m - 5. Suppose n - m = 2. Factor 2*k + 6 - 2*k**n - 3 - k**4 - 2 + 0.
-(k - 1)*(k + 1)**3
Suppose 97 = -5*o + 5*a + 92, -o + 5*a - 13 = 0. What is m in -9/2*m**5 + 0 + 7/2*m**3 - 11/2*m**o + 11/2*m**4 + m = 0?
-1, 0, 2/9, 1
Let z be 2*19/(-40) - -1. Let t(l) be the third derivative of 0 - z*l**5 + 0*l**4 + 0*l + 0*l**3 - 5*l**2. Factor t(x).
-3*x**2
Let x be (8/5)/((-2976)/(-1240)). Factor 0*m**3 - x*m**2 - 1/3*m + 0 + 1/3*m**5 + 2/3*m**4.
m*(m - 1)*(m + 1)**3/3
Let v be (-24)/(-18) - 16/(-6). Factor 7*g**4 + 0*g**4 - 4*g**3 + 4*g**5 + 6*g**2 - 2*g**2 - 11*g**v.
4*g**2*(g - 1)**2*(g + 1)
Let f(n) be the first derivative of -n**5 + 20/3*n**3 + 0*n - 1 + 0*n**4 + 0*n**2. Let f(z) = 0. Calculate z.
-2, 0, 2
Factor -27/5*w + 4 + 7/5*w**2.
(w - 1)*(7*w - 20)/5
Let v(u) be the second derivative of u**5/50 + u**4/12 - 2*u**3/15 + 8*u**2 + 10*u. Let d(n) be the first derivative of v(n). What is l in d(l) = 0?
-2, 1/3
Let t(x) = 25*x**4 - 105*x**3 - 650*x**2 - 520*x + 40. Let a(g) = -2*g**4 + 8*g**3 + 50*g**2 + 40*g - 3. Let d(v) = 40*a(v) + 3*t(v). Factor d(q).
-5*q*(q - 4)*(q + 1)*(q + 2)
Let a be (6/(-10))/(6/(-60)*2). Let -1/2*j**2 + 5/4*j**5 + 0*j + 1/4*j**a + 2*j**4 + 0 = 0. Calculate j.
-1, 0, 2/5
Suppose 3*q - 14 = -y, -3*q - 2*y - 2 + 15 = 0. Suppose q = 5*a, 3*o + 2*a + 2*a = 13. Factor 12*c**2 - 7*c**2 + 15*c**2 + 28*c + 25 - 13 + 4*c**o.
4*(c + 1)**2*(c + 3)
Let l(k) be the first derivative of 1/30*k**3 - 1/5*k - 18 + 1/20*k**2. Solve l(t) = 0 for t.
-2, 1
Factor -15/2*q**2 - 69/2*q + 15.
-3*(q + 5)*(5*q - 2)/2
Let 887*s**4 - 842*s**4 - 445*s + 151*s**3 + 50 - 95*s**2 + 294*s**3 = 0. Calculate s.
-10, -1, 1/9, 1
Let s(j) be the first derivative of 79*j**2 + 2*j - 2. Let o be s(1). Factor -3*c**2 + o - 160.
-3*c**2
Let q be -10*2*(-1)/4. Suppose 0*b + 3*b + 2*a - 23 = 0, 2*b + 3*a = 22. Factor 0*n + b*n - q*n - 2*n**3.
-2*n**3
Let b = 2/21171 - 14502149/148197. Let i = 98 + b. Factor 0*d**4 + 0*d**2 + i*d**5 + 0*d**3 + 0*d + 0.
d**5/7
Let p(k) be the second derivative of k**7/189 + 2*k**6/135 - 2*k**5/45 - 4*k**4/27 + 19*k - 2. Let p(w) = 0. Calculate w.
-2, 0, 2
Let m(t) be the first derivative of t**4/22 - 80*t**3/11 + 4800*t**2/11 - 128000*t/11 + 435. Suppose m(q) = 0. Calculate q.
40
Let l(r) be the third derivative of 2*r**5/27 + 101*r**4/108 + 