*3 + 18*p**2 + 21*p + 6. Let t(v) = -d(v) - 12*y(v). What is w in t(w) = 0?
-3, -2, -1
Solve 8/3*n + 10/3*n**2 + 0 + 2/3*n**3 = 0.
-4, -1, 0
Factor -7*p - 3*p**4 - 4*p + 3*p**2 + 11*p.
-3*p**2*(p - 1)*(p + 1)
Let q(b) be the second derivative of 1/35*b**7 + 0*b**3 + 0*b**2 + 0 - 8/75*b**6 + 40*b + 13/150*b**5 - 1/45*b**4. Factor q(c).
2*c**2*(c - 2)*(3*c - 1)**2/15
Find k such that -5/2*k**3 - 2 + 4*k + 7/2*k**2 = 0.
-1, 2/5, 2
What is i in -968/9 - 1144/9*i - 142/3*i**2 - 52/9*i**3 - 2/9*i**4 = 0?
-11, -2
Let z(d) = -13*d**2 + 37*d. Let f(k) = -35*k**2 + 110*k. Let r(w) = -3*f(w) + 8*z(w). Factor r(h).
h*(h - 34)
Let k be 2 - (12/3 - 5). Factor y**3 - 10*y**3 + 4*y**4 - k*y**4 + 2*y**4 - 3*y + 9*y**2.
3*y*(y - 1)**3
Let t(b) be the second derivative of -3*b**5/70 - b**4/21 + b**3/3 - 2*b**2/7 - 35*b. Factor t(p).
-2*(p - 1)*(p + 2)*(3*p - 1)/7
Let y(l) be the third derivative of 0*l**3 - 18*l**2 + 0*l - 1/15*l**5 - 5/6*l**4 + 0. Find g such that y(g) = 0.
-5, 0
Let z be 51 + -30 - (-283)/(-15). Factor -z*r**2 + 14/15*r**3 + 0 + 8/15*r.
2*r*(r - 2)*(7*r - 2)/15
Let q(y) be the second derivative of y**4/16 - 15*y**3/8 + 21*y**2/4 - 10*y + 6. Suppose q(v) = 0. Calculate v.
1, 14
Let l be (-4)/10*(-7 + 212/36). Let m(b) be the first derivative of 1/3*b**4 + 2/3*b - 7/6*b**2 + 4 + l*b**3. What is o in m(o) = 0?
-2, 1/2
Find n such that 0 + 8/3*n**2 + 0*n - 2/3*n**4 + 4/3*n**3 - 1/3*n**5 = 0.
-2, 0, 2
Let m(x) be the third derivative of -1/240*x**5 + 0 + 0*x + 0*x**3 + 5/96*x**4 - 12*x**2. Find k, given that m(k) = 0.
0, 5
Let u(r) be the third derivative of -r**5/210 - r**4/168 + 5*r**3/14 + 12*r**2 - 7. Determine s, given that u(s) = 0.
-3, 5/2
Let p(j) be the third derivative of -j**5/180 + 5*j**4/18 - 16*j**3/3 - 34*j**2. Solve p(n) = 0.
8, 12
Let p(h) be the third derivative of 0*h**3 - 1/30*h**5 + 0*h**4 - 1/210*h**7 + 0 + 12*h**2 + 0*h + 1/40*h**6. Suppose p(y) = 0. Calculate y.
0, 1, 2
Let s(a) be the third derivative of a**6/600 + a**5/15 - 7*a**4/40 - 33*a**2. Factor s(b).
b*(b - 1)*(b + 21)/5
Let 28/5*h**4 + 20*h**2 + 16/5 - 76/5*h**3 - 4/5*h**5 - 64/5*h = 0. What is h?
1, 2
Let i(s) be the first derivative of -s**4/2 + 8*s**3/3 - s**2 - 12*s - 169. Find y such that i(y) = 0.
-1, 2, 3
Let j(z) be the second derivative of -z**7/14 + 3*z**6/5 - 9*z**5/20 - 5*z**4/2 + z - 17. Suppose j(l) = 0. Calculate l.
-1, 0, 2, 5
Suppose 10*t + 99 = 149. Let r(d) be the third derivative of 1/40*d**6 + 0 + 1/2*d**3 + 0*d + 3/20*d**t + 3/8*d**4 - 7*d**2. Determine y, given that r(y) = 0.
-1
Let z(o) be the first derivative of 2*o**5/65 + 3*o**4/13 + 2*o**3/3 + 12*o**2/13 + 8*o/13 + 178. Let z(n) = 0. Calculate n.
-2, -1
Factor -4737*r**3 + 4738*r**3 - r - 3*r**2 + 2 + 1.
(r - 3)*(r - 1)*(r + 1)
Let q be (-9827)/36 - (-18)/81. Let y = q - -273. Factor -1/2 - 1/4*u + y*u**2.
(u - 2)*(u + 1)/4
Suppose 5 = z + 3. Let j(a) = -a**2 + 5*a - 3*a + 186 - 184. Let t(g) = 1. Let n(r) = z*t(r) - j(r). Factor n(c).
c*(c - 2)
Let p(r) be the third derivative of 0*r + 0*r**6 - 1/35*r**7 - 1/112*r**8 + 0 + 1/8*r**4 - 9*r**2 + 1/10*r**5 + 0*r**3. What is t in p(t) = 0?
-1, 0, 1
Suppose -46 = t + 44. Let a be (t/35)/((-32)/42). Determine h, given that 27/8 + 9/8*h**2 - a*h - 1/8*h**3 = 0.
3
Let n = 1988/121 - 96163/2178. Let w = n + 169/6. Factor w - 2/3*k + 2/9*k**2.
2*(k - 2)*(k - 1)/9
Factor -1/3*x**2 + 2/3*x + 35/3.
-(x - 7)*(x + 5)/3
Let f(x) = 5*x**2 + 18*x - 117. Let c be f(-7). Factor -1/2*u**c + 2 + 0*u.
-(u - 2)*(u + 2)/2
Let v(l) = -l**4 - 162*l**3 + 6554*l**2 + 13614*l + 6887. Let k(w) = -3*w**4 - 323*w**3 + 13106*w**2 + 27229*w + 13773. Let n(j) = 2*k(j) - 5*v(j). Factor n(a).
-(a - 83)**2*(a + 1)**2
Solve -257*s**3 + 511*s**3 - 3*s - 258*s**3 + 16*s**2 - 24 - s = 0.
-1, 2, 3
Let s(m) = -m**2 - 13*m + 4. Let w be s(-13). Let h(a) = -6*a + 26. Let y be h(w). Let 4/3*z**2 + 0*z + 2/3*z**4 - y*z**3 + 0 = 0. What is z?
0, 1, 2
Suppose -170 - 34 = -4*l. Let i be (1 + (-13)/27)*l/17. Factor -8/9 + 40/9*a + i*a**3 - 46/9*a**2.
2*(a - 2)*(a - 1)*(7*a - 2)/9
Let b(v) be the second derivative of 0 - 16*v - 5/21*v**4 - 8/7*v**2 - 16/21*v**3 - 1/35*v**5. Let b(a) = 0. What is a?
-2, -1
Let i(o) be the second derivative of o**5/180 - 5*o**4/108 + 114*o. Let i(q) = 0. Calculate q.
0, 5
Let m(y) = -3*y + 9. Let w be m(-2). Let -11 + 12*v**4 + v**5 + 155 + 219*v**3 + w*v**4 + 456*v + 505*v**2 = 0. What is v?
-12, -1
Let b = 64582/5 + -12916. Find s such that b*s**2 - 14/5 + 12/5*s = 0.
-7, 1
Suppose 0 = 10*y - 4*y - 12. Let p be (-1*(-1)/(-4))/(1 - y). What is i in 0*i + 0 - 1/2*i**2 + 1/4*i**4 + p*i**3 = 0?
-2, 0, 1
Let o(r) be the third derivative of 0*r**4 + 23*r**2 + 0*r - 3/100*r**5 + 0 + 0*r**3 - 1/200*r**6. Let o(g) = 0. Calculate g.
-3, 0
Let k(l) be the first derivative of -l**6/40 + 7*l**5/40 + 3*l**4/4 - 10*l**3/3 - 1. Let q(r) be the third derivative of k(r). Suppose q(i) = 0. What is i?
-2/3, 3
Let x(n) be the third derivative of -n**7/1680 - n**6/160 + 5*n**4/6 - 26*n**2. Let b(i) be the second derivative of x(i). Factor b(p).
-3*p*(p + 3)/2
Let i(y) be the second derivative of -y**4/14 - 2*y**3 + 45*y**2/7 + y - 10. Determine c, given that i(c) = 0.
-15, 1
Let w(d) be the first derivative of -2*d**5/5 + 8*d**4 - 16*d**3 - 320*d**2 - 800*d - 109. Find u such that w(u) = 0.
-2, 10
Let 836*o**2 + 40*o**3 + 13718 + 20216/3*o + 2/3*o**4 = 0. Calculate o.
-19, -3
Let b(r) = 3*r**3 + r - 2. Let h be b(1). Let z(a) = a**3 - 2*a**2 + 3*a - 3. Let t be z(h). Factor -6*i**2 - 15*i - 7 - 5 + 3*i**2 + t*i.
-3*(i + 2)**2
Let h(n) be the first derivative of n**8/224 + n**7/70 - n**5/20 - n**4/16 + 3*n**2 + 8. Let q(s) be the second derivative of h(s). Factor q(w).
3*w*(w - 1)*(w + 1)**3/2
Let z(n) be the second derivative of n**6/24 - n**5/12 - 5*n**4/24 + 5*n**3/6 - 5*n**2/2 + 13*n. Let o(f) be the first derivative of z(f). Factor o(t).
5*(t - 1)**2*(t + 1)
Let l(w) be the first derivative of -5/3*w**3 + 5/2*w**2 - 27 + 30*w. Determine z, given that l(z) = 0.
-2, 3
Let p = -188 + 188. Let a(x) be the second derivative of 0*x**4 - 2/75*x**6 + 0 - 1/105*x**7 + p*x**2 - 1/50*x**5 + 0*x**3 + 4*x. Factor a(l).
-2*l**3*(l + 1)**2/5
Let r(w) = -w**2 - 2*w. Suppose 0 = 4*y + 3*b - 4, -4*y = -2*b + 6*b - 8. Let v be r(y). Factor 0 + 0*m - 1/4*m**4 + 1/4*m**5 + 0*m**2 + v*m**3.
m**4*(m - 1)/4
Let v(q) = q**2 - 3*q - 7. Let o be 119/21 - (-4)/(-6). Let l be v(o). Determine y so that -8*y**l + 4*y + y - 10*y**2 - 7*y = 0.
-1, -1/4, 0
Let d(o) be the third derivative of -11/390*o**5 + 0 + 29*o**2 + 0*o + 1/455*o**7 + 0*o**3 + 1/52*o**4 + 1/156*o**6. Determine p so that d(p) = 0.
-3, 0, 1/3, 1
Let n(p) be the first derivative of 15*p**6/8 + 93*p**5/20 + 45*p**4/16 - 3*p**3/4 - 3*p**2/4 - 12. Determine v so that n(v) = 0.
-1, -2/5, 0, 1/3
Let u(c) be the third derivative of c**6/12 - 41*c**5/12 - 55*c**4/4 - c**2 + 2*c. Solve u(a) = 0 for a.
-3/2, 0, 22
Let u be (7 + -13 + 0)/((-42)/18). Suppose -12/7*x + 0 + 0*x**3 - u*x**2 + 6/7*x**4 = 0. What is x?
-1, 0, 2
Let h(d) = -4*d**3 - 32*d**2 + 6*d. Let g(n) = 2*n**3 + n**2. Let x(u) = 6*g(u) + h(u). Factor x(s).
2*s*(s - 3)*(4*s - 1)
Let y = -2494 + 17470/7. Find x, given that y*x + 8/7 + 4/7*x**2 = 0.
-2, -1
Suppose 5485*s**2 + 1 + 17*s + 19*s + 348*s + 15 - 5681*s**2 = 0. What is s?
-2/49, 2
Solve 5*j**5 - 30*j**4 + 1464*j**3 - 15*j - 50 - 721*j**3 - 733*j**3 + 80*j**2 = 0.
-1, 1, 2, 5
Let m = -654 - -666. Let o(p) be the first derivative of -4*p**2 - 4/5*p**5 + 0*p**3 + 2*p**4 - m + 4*p. Factor o(c).
-4*(c - 1)**3*(c + 1)
Let r(w) be the first derivative of -w**7/63 - w**6/45 + w**5/15 + w**4/9 - w**3/9 - w**2/3 - w - 6. Let q(c) be the first derivative of r(c). Factor q(l).
-2*(l - 1)**2*(l + 1)**3/3
Suppose 5*p - 12 = 8*p. Let m be 3*p*4/(-8). Determine q so that -3 + 0*q**2 + 3*q**2 + 6 + m*q = 0.
-1
Let p be 6 + (-325)/(-78) + -9. Solve -1/6 - 3/2*m**2 - p*m**3 - 5/6*m - 1/3*m**4 = 0.
-1, -1/2
Suppose t + 9 = 4*o - 7, 0 = 5*t + 20. Let m(s) be the first derivative of -7 + 2/3*s**4 + 2/3*s + 2/15*s**5 + 4/3*s**o + 4/3*s**2. Solve m(i) = 0 for i.
-1
Factor -44/3*a**2 + 20/3 - 72*a.
-4*(a + 5)*(11*a - 1)/3
Let t(r) be the first derivative of -5*r**3/3 + 105*r**2/2 - 513. Factor t(b).
-5*b*(b - 21)
Factor 6/11*o**3 - 36/11*o + 160/11