-2*(v + 1)*(v + 2)/5
Let w be 20/(-15) + (-70)/(-48) - 123/(-24). Determine p, given that 15/4*p**2 + w*p + 9/4 + 3/4*p**3 = 0.
-3, -1
Let p(j) be the first derivative of j**4/14 + 136*j**3/7 + 13872*j**2/7 + 628864*j/7 - 559. Factor p(b).
2*(b + 68)**3/7
Let y(g) = -14*g**4 - 22*g**3 - 34*g**2 - 4*g. Let c(z) = -z**4 - z**3 - 2*z**2. Let q(p) = 22*c(p) - 2*y(p). Factor q(k).
2*k*(k + 1)*(k + 2)*(3*k + 2)
Suppose 2/3*i**4 + 200/21*i**3 + 244/7*i**2 - 70/3 + 8/3*i = 0. What is i?
-7, -1, 5/7
Let x(b) = -b**2 + 11*b + 17. Let y be x(12). Let l be (-1 + y)*(-3)/(-4). What is f in 8*f - 3*f**4 - 11*f - 9*f**l + 6*f**4 + 9*f**2 = 0?
0, 1
Suppose y = -o, 0 = -2*y - 3*y + 4*o. Let i(u) be the first derivative of -3/8*u**4 + 1 + 1/10*u**5 - 1/4*u**2 + 1/2*u**3 + y*u. Solve i(s) = 0 for s.
0, 1
Let n = -93 + 93. Factor n*z**2 + 16/9*z - 4/3*z**3 - 4/9*z**4 + 0.
-4*z*(z - 1)*(z + 2)**2/9
Suppose 0 = 4*d, 0*d - 50 = -5*j + 4*d. Let y be (13 + -1)*j*3/100. Factor -7/5*k**3 + 1/5*k**4 + y*k**2 + 8/5 - 4*k.
(k - 2)**3*(k - 1)/5
Let a(u) be the third derivative of -u**7/630 - 2*u**6/135 - 2*u**5/45 + 5*u**4/8 + 5*u**2. Let n(q) be the second derivative of a(q). Factor n(i).
-4*(i + 2)*(3*i + 2)/3
Let q(x) = 4*x + 27. Let s be q(-6). Solve 2*l**5 - 7*l**3 + 3*l**s + 16*l**4 + 0*l**3 - 14*l**4 = 0 for l.
-2, 0, 1
Let d be ((-17)/(-2))/(18 + -17) - 4. Factor 3/2*k + d*k**3 - 3/2 + 15/2*k**2.
3*(k + 1)**2*(3*k - 1)/2
Factor -60/11*r**3 + 0 - 126/11*r**2 - 6/11*r**4 + 0*r.
-6*r**2*(r + 3)*(r + 7)/11
Factor 3*t**3 - 15*t - 3*t + 11*t**2 - 6*t**2 - 2*t**2.
3*t*(t - 2)*(t + 3)
Let y(m) be the first derivative of 28 + 2/5*m**4 + 0*m + 4/5*m**2 - 4/3*m**3. Factor y(g).
4*g*(g - 2)*(2*g - 1)/5
Suppose 2*s = 2*b + 12, 2*s - 12 = 4*b + 6. Let -1/2*o**4 + 1/4*o + 0 + 1/2*o**2 + 0*o**s - 1/4*o**5 = 0. Calculate o.
-1, 0, 1
Let p be 6/(-9) + 0 + (-352)/(-6). Let o = 233/4 - p. Find w, given that 0 - 1/2*w**2 + o*w**3 + 1/4*w = 0.
0, 1
Let i(n) be the second derivative of -2*n**5/5 - 5*n**4/6 + 2*n**3/3 - 9*n**2/2 + 21*n. Let m(v) be the first derivative of i(v). Factor m(y).
-4*(y + 1)*(6*y - 1)
Let p be -2 - (9/3 - -3). Let v be p/(-2) - 1*2. Find b, given that 3*b**4 - 2*b - b**3 - b**5 + 2*b**4 + b**2 + 6*b**v - 8*b**3 = 0.
0, 1, 2
Let o(u) be the second derivative of -3*u**5/20 - 5*u**4/28 + u**3/7 + 116*u. Determine l, given that o(l) = 0.
-1, 0, 2/7
Let c(p) be the third derivative of p**5/110 - 5*p**4/44 - 36*p**3/11 + 298*p**2 - p. Find b such that c(b) = 0.
-4, 9
Let o(s) be the first derivative of -s**3 - 15*s**2/2 + 72*s + 193. What is f in o(f) = 0?
-8, 3
Determine m, given that 25/4*m + 33/4*m**3 + 1/2*m**5 - 3/2 - 41/4*m**2 - 13/4*m**4 = 0.
1, 3/2, 2
Let v be (1 - 5)*9/(-18). Let i be -2 - v/(2/(-5)). Factor 3/2*q + i*q**3 - 13/4*q**2 - q**4 - 1/4.
-(q - 1)**2*(2*q - 1)**2/4
Let w(u) be the first derivative of -u**3/9 + 9*u**2/2 - 50*u/3 - 588. Factor w(g).
-(g - 25)*(g - 2)/3
Let j(r) be the first derivative of r**4/12 - 40*r**3/9 + 200*r**2/3 + 323. Solve j(t) = 0 for t.
0, 20
Let b = 0 + 21. Suppose -10*p + b - 1 = 0. Find y, given that 0*y + 0 - 2/3*y**3 + 0*y**p = 0.
0
Let c be 94/(-329)*(-35)/15. Determine v so that -4/3 - 6*v**2 + 10/3*v**3 - c*v**4 + 14/3*v = 0.
1, 2
Let h(o) be the first derivative of 2*o**3/21 - 15*o**2/7 - 68*o/7 + 280. Factor h(r).
2*(r - 17)*(r + 2)/7
Let l(w) = -w**2 - 4*w + 1. Let y be l(-3). Suppose y*n = -2*n + 12. Find a, given that -8/5*a**5 + 0 + 0*a + 18/5*a**4 - 12/5*a**3 + 2/5*a**n = 0.
0, 1/4, 1
Let n(o) be the first derivative of 25*o**4/2 + 305*o**3/3 + 10*o**2 - 60*o + 45. Factor n(h).
5*(h + 6)*(2*h + 1)*(5*h - 2)
Let u(n) = -n**3 + 17*n**2 + 39*n - 16. Let o be u(19). Suppose 18 = 5*z - 3*z + 3*w, 0 = 2*z - 2*w + 2. Factor o*b**z + 13 + 3*b**5 - 6*b**4 - 13.
3*b**3*(b - 1)**2
Let i = 31 - 25. Let x be (-8)/i*6/(-7). Factor 24/7*m + 2/7*m**4 + 26/7*m**2 + x + 12/7*m**3.
2*(m + 1)**2*(m + 2)**2/7
Let d = -94 - -265. Let v be (d/(-38))/(0 - 3). Determine n, given that 3/4*n**3 + 0*n**2 + v - 9/4*n = 0.
-2, 1
Let q(d) = -d**3 - d**2 + 25*d - 18. Let p be q(4). Let u(j) be the third derivative of -1/180*j**5 + 0 + 1/36*j**4 - 1/18*j**3 + 0*j + 5*j**p. Factor u(b).
-(b - 1)**2/3
Let z(p) be the first derivative of -2/3*p**3 + 6*p**2 - 5 - 10*p. Determine m, given that z(m) = 0.
1, 5
Let x(w) = w + 7. Let o be x(-3). Suppose -30 + o = -13*q. Determine b so that -1/2*b**q + 1/4*b**3 + 0 + 1/4*b = 0.
0, 1
Let f(l) be the second derivative of 0 + 1/4*l**4 + 12*l**3 + 216*l**2 + 39*l. Solve f(u) = 0 for u.
-12
Let g(x) be the second derivative of -x**7/420 - x**6/120 - x**5/120 + 8*x**2 - 7*x. Let p(u) be the first derivative of g(u). Determine f so that p(f) = 0.
-1, 0
Let s(m) be the third derivative of m**8/560 + m**7/280 - m**6/120 - m**5/40 + 13*m**3/6 + 10*m**2. Let g(w) be the first derivative of s(w). Solve g(c) = 0.
-1, 0, 1
Let t = -22019/15 - -1468. Let m(y) be the second derivative of 3/10*y**5 + t*y**6 - y**3 + 1/6*y**4 + 9*y + 0 - 2*y**2. Factor m(x).
2*(x - 1)*(x + 1)**2*(x + 2)
Let w(u) be the second derivative of 5/54*u**4 - 4/9*u**2 - 28*u - 2/135*u**6 + 2/27*u**3 - 1/378*u**7 - 1/180*u**5 + 0. Factor w(b).
-(b - 1)**2*(b + 2)**3/9
Factor 31/6*d + 11/2*d**2 - 1/3.
(d + 1)*(33*d - 2)/6
Let w = -34/3 - -683/60. Let p(s) be the third derivative of -1/210*s**7 + 0 + 1/40*s**6 - w*s**5 + 0*s + 1/24*s**4 + 0*s**3 + 4*s**2. Factor p(t).
-t*(t - 1)**3
Suppose -75 + 39 = -9*n. Let r(i) be the second derivative of -1/24*i**3 + 0 + 0*i**2 - 1/80*i**5 - 1/24*i**n - 6*i. Let r(b) = 0. What is b?
-1, 0
Let l be (3 + -8)/(14/(-14)). Let a(t) be the second derivative of -5/14*t**3 + l*t + 0 - 3/7*t**2 - 1/7*t**4 - 3/140*t**5. Factor a(i).
-3*(i + 1)**2*(i + 2)/7
Suppose 0*g = 2*g - 2*p + p, 4*p = -5*g. Factor 3/5*u**2 + g*u - 12/5.
3*(u - 2)*(u + 2)/5
Let b(r) be the first derivative of r**5/25 - 7*r**4/20 - 3*r**3/5 + 7*r**2/10 + 8*r/5 - 187. Factor b(y).
(y - 8)*(y - 1)*(y + 1)**2/5
Let s be (-30)/(7*(-64)/112)*8/15. Determine k, given that 4/3*k**5 + 2/3*k**s - 4/3*k**3 + 0*k + 0 - 2/3*k**2 = 0.
-1, -1/2, 0, 1
Let c = 1140 + -1138. Find j, given that 1/6*j**3 + 21/2*j + 49/6 + 5/2*j**c = 0.
-7, -1
Let x(l) = -11*l - 1. Let k be x(-1). Let r be 9/6*((-6)/k + 1). Find n, given that 6/5*n + r*n**2 + 0 = 0.
-2, 0
Suppose -323 = -3*z - 2*y, -3*z + 162 + 186 = -3*y. Let x = z + -111. Solve 0 + 1/3*t**4 + 0*t + x*t**2 - 1/3*t**3 = 0.
0, 1
Let y = 213 + -209. Suppose -2*m - y*g = -2, -5*g - 5 = -0*g. Determine d, given that -2/5 + 6/5*d + 2/5*d**m - 6/5*d**2 = 0.
1
Let f(u) be the second derivative of 9*u**5/140 - 7*u**4/4 + u**3 + 48*u**2/7 - 20*u. Solve f(y) = 0 for y.
-2/3, 1, 16
Let o(n) be the third derivative of -n**5/150 - n**4/12 - 2*n**3/5 - 5*n**2 - 7*n. Factor o(q).
-2*(q + 2)*(q + 3)/5
Let p(a) = 2*a + 35. Let o be p(-16). Let x(h) be the first derivative of 16/3*h**o - 5/2*h**4 - 4*h - h**2 - 3. Factor x(d).
-2*(d - 1)**2*(5*d + 2)
Let q(a) be the second derivative of -32*a**2 - 1/3*a**4 - 6/5*a**5 - 2*a - 2/15*a**6 + 0 + 16*a**3. Factor q(w).
-4*(w - 1)**2*(w + 4)**2
Let m(j) = -7*j**3 - 16*j**2 - 8*j - 5. Let k(r) = -3*r - 33*r**3 + 40*r**3 + 6 + 10*r + 16*r**2. Let q(g) = -3*k(g) - 4*m(g). Factor q(s).
(s + 1)**2*(7*s + 2)
Let g be (-2*20/8 - -5)/3. Let t(w) be the third derivative of 6*w**2 - 1/21*w**3 + 1/42*w**4 + g*w + 0 - 1/210*w**5. Factor t(j).
-2*(j - 1)**2/7
Let o(v) be the second derivative of v**4/78 - 8*v**3/39 + 15*v**2/13 - 7*v + 2. Factor o(p).
2*(p - 5)*(p - 3)/13
Let b(l) be the third derivative of -l**6/60 - 2*l**5/15 + 49*l**2. Factor b(a).
-2*a**2*(a + 4)
Suppose g + s = 5, -4*g + 5 = -3*g + 3*s. Factor 2*u**2 + 35*u**4 - 2*u**2 - 5*u**3 + 20*u**g - 50*u**4.
5*u**3*(u - 1)*(4*u + 1)
Let s(g) = g**3 + 1. Let d(n) = 6*n**3 + 15*n**2 + 16*n + 31. Let u(y) = -d(y) + 5*s(y). Let w be u(-14). Factor 0*l + w - 1/2*l**2.
-(l - 2)*(l + 2)/2
Let s be -1*2/(7/(-5) + 1). Let q(t) be the third derivative of 1/20*t**s + 3*t**2 + 0 + 9/2*t**3 - 3/4*t**4 + 0*t. Let q(j) = 0. Calculate j.
3
Factor 3/7*t**2 - 30/7 - 27/7*t.
3*(t - 10)*(t + 1)/7
Let x(n) be the second derivative of n**4/60 + n**3/30 - n**2/5 + 19*n + 1. Solve x(c) = 0 for c.
-2, 1
Let o(p) = -10*p**3 - p**2 - 17*p + 1. Let b(s) be the secon