*4 + 0 + 0*x + 4/3*x**2 = 0. Calculate x.
-1, 0
Let x(w) be the second derivative of -w**5 + 805*w**4/12 - 4100*w**3/3 + 1000*w**2 - w - 15. Solve x(k) = 0 for k.
1/4, 20
Let z(h) be the first derivative of -h**3/30 + h**2/20 + 6*h/5 + 331. Solve z(p) = 0.
-3, 4
Let h(a) be the third derivative of -26*a**2 + 1/60*a**6 + 1/3*a**3 + 0*a - 1/24*a**4 + 0 - 1/336*a**8 - 1/15*a**5 + 1/105*a**7. Factor h(m).
-(m - 2)*(m - 1)**2*(m + 1)**2
Determine f so that 22*f**3 + 2*f**4 - 57*f**3 + 4*f**2 + 29*f**3 = 0.
0, 1, 2
Suppose -4*j = -111 + 99, m + 4*j = 12. Determine k so that -2/5*k**4 + 0*k + 8/5*k**2 + m + 0*k**3 = 0.
-2, 0, 2
Suppose -2*y = -2, 3*w + 0*y - 2*y = -419. Let u = 141 + w. What is t in -10/7*t**3 + 0 + 6/7*t**u + 4/7*t = 0?
-2/5, 0, 1
Factor -15*w**4 + 3212*w**2 - 2*w**3 - 1593*w**2 - 1604*w**2 - 3*w**3 + 5*w**5.
5*w**2*(w - 3)*(w - 1)*(w + 1)
Let q(z) be the first derivative of -1/30*z**5 + 1/6*z**4 - 2/9*z**3 + z + 2 + 0*z**2. Let l(d) be the first derivative of q(d). Factor l(h).
-2*h*(h - 2)*(h - 1)/3
Let g(t) be the second derivative of t**6/160 + 7*t**5/40 + 49*t**4/32 + 17*t**2 + 11*t. Let k(d) be the first derivative of g(d). Factor k(j).
3*j*(j + 7)**2/4
Let k(d) be the third derivative of d**5/40 + 11*d**4/8 + 121*d**3/4 - 11*d**2 - 3. Let k(m) = 0. What is m?
-11
Let o be (-9)/2*36/54 - (-245)/77. Let -o*n**3 - 16/11 - 24/11*n - 12/11*n**2 = 0. What is n?
-2
Let y(s) be the third derivative of s**8/2352 + 23*s**7/1470 + s**6/20 - s**5/210 - 43*s**4/168 - s**3/2 + 47*s**2. Let y(j) = 0. Calculate j.
-21, -1, 1
Let a be 6/(3 - (4 + -2)). Factor 16*d + 9*d**3 + d**2 - 7*d**3 - a*d**3 - 4.
-(d - 2)*(d + 2)*(4*d - 1)
Suppose 4*q = 4*o + 4, -2*q = 4*o + 2 - 10. Factor 111*y**q - 112*y**2 + y - 4*y.
-y*(y + 3)
Let f be -2*(-4 - 20/(-8)). Suppose f*p + 0 = 9. Solve -2*j**3 + 6*j**2 - j**3 + 2*j**p - 109*j + 100*j = 0 for j.
0, 3
Suppose -26 = t + x - 5*x, 5*x + 5 = -5*t. Let c be (-12)/9 + 2 + (-8)/t. Let 0*v - 2/3*v**c + 2/3 = 0. What is v?
-1, 1
Let u be 12 + 4/((-120)/270). Let -4/7*z**u + 2/7*z**4 + 0*z + 2/7*z**2 + 0 = 0. Calculate z.
0, 1
Let j(o) be the third derivative of 0*o**3 + 2*o**2 + 2/75*o**5 + 0*o + 1/20*o**4 + 1/300*o**6 + 0. Factor j(h).
2*h*(h + 1)*(h + 3)/5
Solve 34 - 214 + 31*b**3 - 81*b**3 + 9316*b**2 - 9501*b**2 - 5*b**4 - 300*b = 0.
-3, -2
Let l(k) be the first derivative of -245/12*k**3 + 35*k**2 - 20*k + 1. Factor l(r).
-5*(7*r - 4)**2/4
Let 8 - 38/5*c - 2/5*c**2 = 0. What is c?
-20, 1
Suppose -6*o + 2 = -10. Factor -67*w**3 + 19*w - 3 + 30*w**o - 32*w**4 + 3 - 15*w**5 + 63*w**3 + 2.
-(w - 1)*(w + 1)**3*(15*w + 2)
Let y(z) = -z**3 - 90*z**2 - 423*z + 10. Let g be y(-5). Factor 1/10*m**5 - 3/10*m**4 + 0 + 3/10*m**3 - 1/10*m**2 + g*m.
m**2*(m - 1)**3/10
Let s(g) = -g**4 - g**3 + 1. Let z(q) be the first derivative of 496*q**5/5 - 276*q**4 + 280*q**3 - 136*q**2 + 36*q + 8. Let i(p) = 4*s(p) - z(p). Factor i(f).
-4*(f - 1)*(5*f - 2)**3
Let b = 1/265 - -953/265. Factor -2*n**5 + 0 + 4/5*n**2 - b*n**3 + 24/5*n**4 + 0*n.
-2*n**2*(n - 1)**2*(5*n - 2)/5
Let t(r) be the first derivative of -2*r**2 - 9/2*r**4 + 14/3*r**3 + 2*r**5 + 0*r - 1/3*r**6 + 31. Find g, given that t(g) = 0.
0, 1, 2
Factor -64/5*b**3 + 296/5*b**2 + 4/5*b**4 - 224/5*b - 588/5.
4*(b - 7)**2*(b - 3)*(b + 1)/5
Let u(m) be the first derivative of -2*m**5/5 + 28*m**4 - 522*m**3 - 56*m**2 + 1568*m - 650. Factor u(n).
-2*(n - 28)**2*(n - 1)*(n + 1)
Suppose 5*b + 10 = 5*y, y + 3*b - 4 - 2 = 0. Factor -2*h**3 + 3*h**5 + 2 + 4*h**4 - 31*h**2 + h + 25*h**2 - 2*h**y.
(h - 1)*(h + 1)**3*(3*h - 2)
Suppose 10*r = 15*r - 10. Suppose 4 = 2*x - 2*o - o, 0 = -3*x - 2*o + 6. Factor 2*z**2 + 3*z - 4*z**x + 2 + 4*z**r + z.
2*(z + 1)**2
Find w, given that 64/3*w - 11/3*w**2 + 1/6*w**3 - 112/3 = 0.
4, 14
Suppose -58*n + 110*n = 96*n - 352. Suppose 12/5 + 12/5*a**2 + n*a = 0. Calculate a.
-3, -1/3
Let l(y) be the first derivative of -12/7*y + 15/28*y**4 + 13/7*y**3 + 6/7*y**2 - 6. Factor l(p).
3*(p + 1)*(p + 2)*(5*p - 2)/7
Let v(o) = -3*o**2 + 2*o - 1. Suppose -5*f - 24 = 2*j, -3*j = -3*f + 2 - 8. Let s(x) = 13*x**2 - 8*x + 4. Let p(m) = j*s(m) - 9*v(m). Let p(q) = 0. Calculate q.
1
Let l = -1114 + 1116. Factor -12/11 + 26/11*j + 10/11*j**l.
2*(j + 3)*(5*j - 2)/11
Let r = 314/117 - 2/117. Find f, given that 3/2*f**3 - 1/3 + r*f**2 + 5/6*f = 0.
-1, 2/9
Let d be (-22)/(0 + -44)*4/3. Let w = 3/16 + 55/48. Factor -4/3*p + w*p**3 - 2/3*p**4 + 0*p**2 + d.
-2*(p - 1)**3*(p + 1)/3
Let y(q) be the first derivative of -2*q**5/75 + q**4/6 + 2*q**3/45 - q**2/3 + 101. Let y(l) = 0. What is l?
-1, 0, 1, 5
Let r(w) be the second derivative of w**9/3780 + w**8/840 + 5*w**4/12 + 3*w. Let i(o) be the third derivative of r(o). Factor i(d).
4*d**3*(d + 2)
Let w(j) = j**2 - 18*j + 37. Let k be w(16). Let i(p) be the second derivative of 0 + 1/20*p**k - 1/2*p**2 + 1/48*p**4 + 5*p - 2/3*p**3. Factor i(x).
(x - 2)*(x + 2)*(4*x + 1)/4
Determine b so that 0 + 15/4*b**2 + 6*b + 3/8*b**3 = 0.
-8, -2, 0
Let i(p) = p**2 + 16*p - 18. Let y be i(-18). Let u be (0 - y/4)*(-3)/18. Factor 0 - u*w**2 + 0*w.
-3*w**2/4
Let f be (1 + 117)/(522/6931). Let u = f - 1564. Suppose -4*h + 22/9*h**2 + 8/9 - 4/3*h**4 - 7/9*h**5 + u*h**3 = 0. Calculate h.
-2, 2/7, 1
Let j be ((-40)/100)/(1/(-10)). Let p(c) be the first derivative of -70*c**2 - 2 + 135/4*c**j + 27*c**5 - 40*c - 30*c**3. Factor p(g).
5*(g - 1)*(3*g + 2)**3
Solve -2/3*u**2 + 2/3*u**3 + 0*u - 2/3*u**5 + 0 + 2/3*u**4 = 0 for u.
-1, 0, 1
Let r(q) be the third derivative of q**8/26880 + q**7/3360 - q**5/120 - 23*q**4/12 - 46*q**2. Let l(o) be the second derivative of r(o). Factor l(b).
(b - 1)*(b + 2)**2/4
Let l(z) = -579*z + 2896. Let g be l(5). Factor 1/3*u**3 - 5/3*u - 1/3*u**2 - g.
(u - 3)*(u + 1)**2/3
Let z(b) be the second derivative of b**9/3780 - b**7/210 - b**6/90 - 5*b**4/4 - 14*b. Let p(m) be the third derivative of z(m). Solve p(y) = 0 for y.
-1, 0, 2
Let f = -19 - -44. Let t(m) = 2*m - 46. Let w be t(f). Factor -2/7*j + 0 + 0*j**3 + 3/7*j**2 - 1/7*j**w.
-j*(j - 1)**2*(j + 2)/7
Let g(o) be the first derivative of -o**4/4 + 3*o**3 + o**2/2 - 6*o + 6. Let b be g(9). Factor -3*c**2 + 4*c - c**4 + 9*c**b - 3*c - 6*c**3.
-c*(c - 1)**3
Let n(g) = 6*g**3 - 30*g**2 + 39*g. Let s(r) = -r**3 - 4*r. Let l(i) = -n(i) - 3*s(i). Let l(q) = 0. Calculate q.
0, 1, 9
Factor 45/4 + 1/4*i**3 + 11/4*i**2 + 39/4*i.
(i + 3)**2*(i + 5)/4
Let q(j) be the third derivative of -j**6/280 - j**5/20 - 11*j**4/56 - 5*j**3/14 - 31*j**2 - j. Factor q(g).
-3*(g + 1)**2*(g + 5)/7
Let b(d) be the first derivative of 0*d**2 + 9 + 0*d - 5/6*d**3. Factor b(z).
-5*z**2/2
Solve -116/7 - 120/7*r - 4/7*r**2 = 0 for r.
-29, -1
Let b(o) be the second derivative of -2*o**6/105 + 4*o**5/35 + 4*o**4/7 + 63*o. Factor b(v).
-4*v**2*(v - 6)*(v + 2)/7
Let f(m) be the first derivative of -7*m**3/15 + 356*m**2/5 + 204*m/5 + 303. Find p such that f(p) = 0.
-2/7, 102
Let j(c) be the second derivative of c**4/6 - 2*c**3/3 - 35*c**2 + c - 37. Factor j(f).
2*(f - 7)*(f + 5)
Let j be 20*(-16)/10*(-2)/(-8). Let p(y) = y**2 + 7*y - 6. Let z be p(j). Let 1/3 + 2/3*r + 1/3*r**z = 0. Calculate r.
-1
Let x(n) be the second derivative of 3*n**5/20 - 6*n**3 - 24*n**2 - 2*n + 36. Factor x(w).
3*(w - 4)*(w + 2)**2
Factor 3*k**3 - 20480 + 3840*k - 240*k**2 + 6*k**3 - 3*k**3 - k**3.
5*(k - 16)**3
Let x(q) be the second derivative of -1/24*q**4 + 0 - 11*q - 1/90*q**6 - 4/3*q**3 + 0*q**2 + 1/24*q**5. Let j(c) be the second derivative of x(c). Factor j(d).
-(d - 1)*(4*d - 1)
Let g be (-2)/(-2)*0 + -3. Let p be g + -3*(1 - 2). Let 0*u + 0*u**3 + 4*u**3 + 2*u**2 + p*u**2 - 2*u**4 - 4*u = 0. Calculate u.
-1, 0, 1, 2
Let z be 275/264 - (5 + -4). Let c(t) be the second derivative of -3*t + 1/3*t**3 + z*t**4 + 0 + 3/4*t**2. Suppose c(f) = 0. What is f?
-3, -1
Let a(b) be the first derivative of b**4/8 + 23*b**3/2 + 1587*b**2/4 + 12167*b/2 - 68. Solve a(i) = 0 for i.
-23
Let r = 46 - 40. Factor 0*k**4 + r*k**4 - 5*k**3 - k**4 + 0*k**3.
5*k**3*(k - 1)
Let n(d) = 9*d + d**2 - 96 + 90 + d**2. Let t(a) = a**2. Let c(k) = n(k) - 5*t(k). Find v such that c(v) = 0.
1, 2
Let p be 4/5*(10/8 + -1). Let y(q) be the first derivative of 0*q + 0*q**2 + 2/3*q**3 + 1/4*q**4 - p*q**5 - 5. Determine x, given that y(x) = 0.
-1, 0, 2
Let s(m) 