2 - 1/24*u**6 + 0*u + 0 + 0*u**3 + 1/30*u**5 + 0*u**4. Factor h(g).
-g**2*(5*g - 2)
Let f(q) be the first derivative of -4*q**3/3 - 116*q**2 + 236*q - 5. Factor f(a).
-4*(a - 1)*(a + 59)
Let m(d) be the first derivative of -d**5/4 + 5*d**3/6 + 20*d + 21. Let p(o) be the first derivative of m(o). Factor p(v).
-5*v*(v - 1)*(v + 1)
Let o(u) = 7*u - 24. Let d = -90 - -94. Let z be o(d). Let 2/3*x - 2*x**2 + 2*x**3 - 2/3*x**z + 0 = 0. What is x?
0, 1
Let q = 302931/11 + -27539. Solve -q*v**2 + 10/11*v + 12/11 = 0 for v.
-1, 6
Suppose 0 = -4*u + c + 25, -5*u + c = 5*c - 5. Factor -68*b**2 + 343*b**u - 84*b + 294*b**4 - 259*b**3 - 59*b**2 - 159*b**2 - 17 + 9.
(b - 1)*(b + 1)*(7*b + 2)**3
Let o be (-24)/(-2)*151/302*2/9. Find n, given that 1/6*n**4 + 25/6 - 20/3*n + n**2 + o*n**3 = 0.
-5, 1
Let -80/9 + 32/3*q + 4*q**2 - 4/3*q**4 - 40/9*q**3 = 0. What is q?
-10/3, -2, 1
Let g(d) = -3*d - 1. Let w be g(-2). Determine f so that 5*f**2 - 5*f**3 + 0*f**3 - w*f**4 + 5*f**5 - 3 + 3 = 0.
-1, 0, 1
Let c(z) = 11*z**2 - 2*z + 2. Let g be c(2). Let u be g/9*(1 + 2). Factor -1 - 18*r**2 + 2*r**4 + u*r**2 + 3.
2*(r - 1)**2*(r + 1)**2
Let t(z) be the third derivative of -5*z**2 + 0*z + 0 - 1/150*z**5 + 0*z**4 + 1/15*z**3. Let t(g) = 0. What is g?
-1, 1
Let d = -21 - -16. Let t be (17/2)/(d/(-10)). Factor 3*h**3 - t*h + 6*h**2 + 0*h**3 + 20*h.
3*h*(h + 1)**2
Suppose -f = -2*j + 2, f - 4*f + 6 = 0. Factor 18*h + 0*h**4 + 25*h**3 + 5*h**4 + 2*h + 40*h**j.
5*h*(h + 1)*(h + 2)**2
Let k be ((-10)/(-4) + -3)*8*6/(-156). Factor 12/13 - k*j**2 + 2/13*j.
-2*(j - 3)*(j + 2)/13
Let q be (-52)/(-240)*4 - (12/15)/4. Determine x so that -q*x + 4/9*x**2 + 0 = 0.
0, 3/2
Let f(d) be the third derivative of -d**6/24 + 4*d**5 - 235*d**4/24 + 68*d**2 + 2. Factor f(k).
-5*k*(k - 47)*(k - 1)
Suppose 5*m = 3*r + 40, -10 = 2*m - 3*m + r. Factor -1 - 10*v**5 - 2*v**2 + 2*v**3 - 5*v**5 + 21*v**5 + 3*v**4 - 3*v - 5*v**m.
(v - 1)*(v + 1)**4
Suppose -12 + 2/15*b**3 + 42/5*b - 28/15*b**2 = 0. What is b?
3, 5, 6
Let r(p) = -p**2 - 5*p + 24. Let i be r(-8). Factor 29*n - 5*n**3 + 5 - 24*n + i*n**3 - 5*n**2.
-5*(n - 1)*(n + 1)**2
Factor -1/3*y**2 - 8/3*y - 4.
-(y + 2)*(y + 6)/3
Let v(s) = -s**3 - 10*s**2 - 29*s - 8. Let f(b) = -6*b**3 - 50*b**2 - 146*b - 38. Let c(u) = -3*f(u) + 16*v(u). Determine l so that c(l) = 0.
-1, 7
Let t(m) = -m**2 + 9*m + 4. Let h be t(9). Find j such that 4*j**3 - 5 + h*j**3 - 28*j + 0*j**3 - 1 - 14*j**2 = 0.
-1, -1/4, 3
Factor 0 - 50/3*f**4 + 4*f**2 + 4/3*f - 5*f**3.
-f*(2*f - 1)*(5*f + 2)**2/3
Let y be (-7)/(-1) - (108 - 101). Factor -1/3*z**5 + 0*z - 1/3*z**2 + y + 1/3*z**3 + 1/3*z**4.
-z**2*(z - 1)**2*(z + 1)/3
Factor 18*c - c**3 - 12*c**3 - 30*c - 31*c + 12*c**3 - 30 - 14*c**2.
-(c + 1)*(c + 3)*(c + 10)
Let j(b) be the second derivative of 5*b**8/336 - b**7/42 - b**6/24 + b**5/12 + b**2 - 10*b. Let p(o) be the first derivative of j(o). Factor p(h).
5*h**2*(h - 1)**2*(h + 1)
Find w, given that 4*w + 1/6*w**3 + 11/6*w**2 + 0 = 0.
-8, -3, 0
Let m(f) be the first derivative of f**3/9 + 4*f**2/3 + 7*f/3 - 271. Factor m(r).
(r + 1)*(r + 7)/3
Let t be (-231)/35 + (-119)/(-17). Find f such that t*f**2 + 6/5 + 8/5*f = 0.
-3, -1
Let c(o) be the second derivative of -o**8/120 - 9*o**7/70 - 8*o**6/15 + 8*o**5/15 + 13*o**3/6 + 27*o. Let v(q) be the second derivative of c(q). Factor v(t).
-2*t*(t + 4)**2*(7*t - 2)
Let u(d) be the second derivative of 1/48*d**4 + 0*d**2 + 0 + 3*d + 1/12*d**3. Factor u(l).
l*(l + 2)/4
Let r = 20752 - 62255/3. Let 1/3*o - 2/3 + r*o**2 = 0. What is o?
-2, 1
Let w = -3700 + 3704. Suppose -16/3*u + 4/3*u**2 + w = 0. What is u?
1, 3
Let n(q) = -q**2 - 61*q + 144. Let r(p) = p**2 - 59*p + 146. Let t(h) = 2*n(h) - 3*r(h). Solve t(l) = 0.
5, 6
Let f be (-24)/54 + (-84)/(-189). Let r(g) be the first derivative of -1/24*g**6 + f*g - 7/12*g**3 - 1 - 1/4*g**5 - 1/4*g**2 - 9/16*g**4. Factor r(d).
-d*(d + 1)**3*(d + 2)/4
Let p(s) be the third derivative of -1/70*s**7 + 1/112*s**8 + 0 - 3/40*s**6 + 1/4*s**4 + 0*s**3 + 0*s + 15*s**2 + 1/20*s**5. Determine b so that p(b) = 0.
-1, 0, 1, 2
Let r(w) be the first derivative of 0*w**4 + 0*w + 2/3*w**3 + 3 - 2/3*w**2 - 2/15*w**5. Factor r(i).
-2*i*(i - 1)**2*(i + 2)/3
Solve -34*y - 96 - 125 - 56*y - 184 - 5*y**2 = 0 for y.
-9
Let -2/13*a**2 + 0 + 142/13*a = 0. Calculate a.
0, 71
Factor 222*y - 2*y**2 - 128*y - 42 - 50*y.
-2*(y - 21)*(y - 1)
Let b(h) = h**3 - h**2 + h. Let s(w) = -2*w**5 - 3*w**4 + 3*w**3 + 7*w**2 - 5*w - 2. Let i(k) = -2*b(k) - s(k). Suppose i(f) = 0. Calculate f.
-2, -1, -1/2, 1
Suppose -4*v + 12 + 8 = 0. Suppose -4*x - v + 5 = 0. Suppose -10/3*g**3 - 2/3*g**5 + x + 8/3*g**4 + 0*g + 4/3*g**2 = 0. What is g?
0, 1, 2
Let i(v) be the second derivative of v**6/180 - v**4/3 + 7*v**3/3 + 13*v. Let m(j) be the second derivative of i(j). Factor m(o).
2*(o - 2)*(o + 2)
Find i, given that 15*i**4 - 45 - 70*i**2 + 225/2*i + 5/2*i**5 - 15*i**3 = 0.
-6, -3, 1
Let x = 1562 + -1562. Let 7/3*p**5 + 2/3*p**2 - 7/3*p**3 + 0 + x*p - 2/3*p**4 = 0. Calculate p.
-1, 0, 2/7, 1
Let i = 1 - -3. Let g(f) = 2*f. Let d be g(i). Factor -y**5 + d*y**2 + 3*y**4 - 11*y**2 - y**2.
-y**2*(y - 2)**2*(y + 1)
Let o = -8585195455/1064 + 8068794. Let g = o + 1/152. Determine z so that -36/7*z**2 - 3*z**3 + 6/7 - g*z = 0.
-1, 2/7
Let k(i) be the first derivative of i**6/50 + 9*i**5/100 + i**4/10 - 4*i + 8. Let d(y) be the first derivative of k(y). Factor d(a).
3*a**2*(a + 1)*(a + 2)/5
Let f = -1395/4 - -349. Factor 1/4*w**2 + 0 + 0*w - 3/4*w**3 + 3/4*w**4 - f*w**5.
-w**2*(w - 1)**3/4
Let u(m) = -2*m + 5. Let c be u(1). Let v(n) be the second derivative of 1/60*n**4 + 0 + 3/10*n**2 - 9*n + 2/15*n**c. Factor v(a).
(a + 1)*(a + 3)/5
Let g(z) = z**5 + 35*z**4 + 83*z**3 + 61*z**2. Let f(h) = -36*h**4 - 84*h**3 - 60*h**2. Let y(r) = 3*f(r) + 4*g(r). Find p, given that y(p) = 0.
-4, -2, 0
Suppose 17*p - 21 - 3 = 10. Factor -8/5 - 12/5*u - 4/5*u**p.
-4*(u + 1)*(u + 2)/5
Let x(q) be the second derivative of -5/12*q**4 - 5/2*q**2 + 0 + 18*q - 5/3*q**3. Let x(l) = 0. What is l?
-1
Let a(i) be the third derivative of 0 - 1/420*i**7 + 1/3*i**4 - 1/15*i**5 - 14*i**2 + 0*i**3 - 7/240*i**6 + 0*i. Factor a(s).
-s*(s - 1)*(s + 4)**2/2
Let u be 88/55*(-45)/(-2). Factor -18 - 3*p**5 + u + 9*p**3 - 18 + 6*p**2.
-3*p**2*(p - 2)*(p + 1)**2
Let h(v) be the second derivative of 5*v**7/42 - v**6/3 - 2*v**5 - 5*v**4/6 + 35*v**3/6 + 10*v**2 + 2*v - 164. Determine q so that h(q) = 0.
-1, 1, 4
Find p, given that -392 + 9*p**2 + 0*p**2 + 10*p**2 - 3*p**2 - 1564*p = 0.
-1/4, 98
Let l(q) be the third derivative of 0 - 13/30*q**5 - 4/35*q**7 + 1/3*q**3 + 10*q**2 - 1/12*q**4 + 5/12*q**6 + 0*q. Find b such that l(b) = 0.
-1/4, 1/3, 1
Find n, given that 5*n**2 - 46 - 605*n + 109 + 44 + 60 + 433 = 0.
1, 120
Let k be -1 - (-21)/(-196)*(-172)/18. Let d(i) be the third derivative of k*i**4 + 0*i + 0 - 1/105*i**5 + 0*i**3 - i**2. Factor d(f).
-4*f*(f - 1)/7
Let n = 96 - 94. Factor l - 11*l - 8*l + n*l + l**2.
l*(l - 16)
Let i be (0 + -3 - -4)*17. Let a = 17 - i. Determine f so that -2/7*f**3 + a*f**2 + 2/7*f + 0 = 0.
-1, 0, 1
Let b be ((-96)/(-128))/((-1)/(-60)). Factor -7*l**2 - 8*l**2 - b - 50*l + 10*l**2.
-5*(l + 1)*(l + 9)
Suppose 1/3*x**5 + 4/3*x - 2*x**4 - 8 + 10*x**2 - 5/3*x**3 = 0. What is x?
-2, -1, 1, 2, 6
Let c(y) = -y + 9. Let w be c(5). Suppose -4*h = 6*h - 150. Factor -w*u**2 - h*u**2 + 8*u**3 + 8*u - u**2.
4*u*(u - 2)*(2*u - 1)
Suppose f + 3*g = -2*g - 13, -g - 14 = 4*f. Let o be (0 - 21)/f*1. Determine r, given that 3*r**3 - 4*r**3 - o*r**4 + 6*r**4 + 2*r**2 = 0.
-2, 0, 1
Let l(n) be the third derivative of 41*n**2 - 1/8*n**4 + 0 + 0*n**3 - 7/20*n**5 + 0*n. Factor l(g).
-3*g*(7*g + 1)
Suppose -10*p - 34 = -11*p. Let b be (-47)/(-3) + p/(-6) + 5. Solve 33/5*w**2 - 12/5 + 18*w**3 - b*w**4 - 36/5*w = 0.
-2/5, 1
Factor -1165*q - 24*q**2 + 30*q**3 + 583*q - 3*q**4 + 27 + 552*q.
-3*(q - 9)*(q - 1)**2*(q + 1)
Let a = 9527/3 + -3173. What is z in -2/3*z**5 + a*z**2 + 0 + 8/3*z**4 - 4*z**3 - 2/3*z = 0?
0, 1
Suppose 0 = -3*h + 19 + 11. Suppose h + 2 = 4*x. Factor -11*r**x + 3*r**5 + 3*r**4 + 11*r**3.
3*r**4*(r + 1)
Let o(n) be the third derivative of -1/90*n**5 + 0 - 1/180*n**6 + 0*n + 1/72*n**4 - 30*n**2 + 1/630*n**7 + 1/1008*n**8 + 1/18*n**3. Factor o(m).
(m - 1)**2*(m + 1