2 + 6/5*f + 2/5*f**5 + 0.
2*f*(f + 1)**3*(f + 3)/5
Solve -72/5*h - 6/5*h**2 + 2/5*h**3 - 64/5 = 0 for h.
-4, -1, 8
Let w = 7521/4 + -1880. Factor -o**2 + 3/4*o + w.
-(o - 1)*(4*o + 1)/4
Let k(u) be the second derivative of u**4/30 - u**3/15 - 2*u**2/5 + 993*u. Factor k(q).
2*(q - 2)*(q + 1)/5
Let b(x) be the first derivative of -2*x**6/15 - 36*x**5/25 - 31*x**4/5 - 68*x**3/5 - 16*x**2 - 48*x/5 + 342. Suppose b(k) = 0. What is k?
-3, -2, -1
Let l(y) be the first derivative of -5*y**4/12 + 5*y**3/6 + 15*y**2 + 22*y + 4. Let b(v) be the first derivative of l(v). Factor b(g).
-5*(g - 3)*(g + 2)
Let c(g) = 13*g**4 + 3*g**3 - 11*g**2 - 5*g - 5. Let t = -51 - -19. Let y(r) = 84*r**4 + 20*r**3 - 72*r**2 - 32*r - 32. Let m(o) = t*c(o) + 5*y(o). Factor m(k).
4*k**2*(k - 1)*(k + 2)
Let l be (-48)/12*(-4)/4. Let c(t) be the first derivative of 6/7*t + 1/7*t**3 + 15/28*t**l - 15/14*t**2 - 9/35*t**5 - 3. Determine w, given that c(w) = 0.
-1, 2/3, 1
Let i(k) be the second derivative of 7/75*k**6 + 0 - 2/5*k**2 + 3/5*k**3 - 13*k - 1/6*k**4 - 9/50*k**5. What is j in i(j) = 0?
-1, 2/7, 1
Determine o so that 4/7*o**2 - 12/7*o**3 + 12/7*o + 0 - 4/7*o**4 = 0.
-3, -1, 0, 1
Let q = 505126/21 + -24049. Let v = -9/7 + q. Factor -2/3*w**2 + v*w - 8/3.
-2*(w - 4)*(w - 1)/3
Let h be 40/48*(16/(-20) + 1). Let b(s) be the second derivative of -1/2*s**2 + 1/40*s**5 - h*s**4 + 8*s + 5/12*s**3 + 0. Factor b(d).
(d - 2)*(d - 1)**2/2
Let a(l) = -l**2 - 9*l + 18. Let w be a(-11). Let t = 8 + w. Let 2/7*s**2 + 2/7*s**5 + 0*s - 2/7*s**3 + 0 - 2/7*s**t = 0. Calculate s.
-1, 0, 1
Let z(a) be the first derivative of -8*a**3/75 + 49*a**2/5 - 122*a/25 - 296. Factor z(x).
-2*(x - 61)*(4*x - 1)/25
Let p = 1 - 3. Let r = 5 + p. Find u, given that -6*u**3 + 13 - u**2 - u**5 - 4*u**4 - u - 13 - r*u**2 = 0.
-1, 0
Factor -1/2*n**2 - 180*n - 16200.
-(n + 180)**2/2
Suppose 15 = 3*d + 3. What is p in 5*p**5 + 10*p**3 + 6*p**4 + 0*p**4 + 7*p**4 - 15*p + 7*p**d - 20*p**2 = 0?
-3, -1, 0, 1
Let d be ((-114)/(-9))/1 + 1 - -1. Factor -16*j + d*j**2 + 2/3*j**4 + 6 - 16/3*j**3.
2*(j - 3)**2*(j - 1)**2/3
Factor 0*n - 4/5*n**2 + 2/5 + 2/5*n**4 + 0*n**3.
2*(n - 1)**2*(n + 1)**2/5
Suppose -1/2*o**3 + 0*o + 0 - 1/2*o**2 = 0. What is o?
-1, 0
Factor -4/5*x**3 - 196/5*x + 0 - 56/5*x**2.
-4*x*(x + 7)**2/5
Let w(t) = t**3 + 3*t**2 + t - 7. Let b be w(-3). Let i be 1/((-390)/18)*b. Let -2/13*y**3 + 8/13 - i*y**2 + 0*y = 0. Calculate y.
-2, 1
Let f(k) be the second derivative of -k**4/21 + 134*k**3/21 - 132*k**2/7 - 697*k. Solve f(m) = 0 for m.
1, 66
Suppose -3*q + 22 = 7. Solve -5*z**2 + q*z + 16*z - 5*z + 9*z = 0.
0, 5
Solve 4/3*u**2 - 1/6*u + 1/6*u**3 - 4/3 = 0.
-8, -1, 1
Let b(i) = 2*i**2 + 5*i - 7. Let d be b(-5). Suppose -2*k + d = 4*k. Find z such that 0 + 0*z + 2/9*z**4 - 4/9*z**k + 2/9*z**2 = 0.
0, 1
Suppose -7*y = -17*y + 30. Suppose 0 = -y*s - 210 + 954. Suppose -1152/5*r**5 - 18/5*r**2 + 64/5*r + 8/5 - 2912/5*r**4 - s*r**3 = 0. Calculate r.
-2, -1/4, 2/9
Suppose 3*g = 2*g + 24. Let x be -3*((7 - 4) + (-74)/g). Factor 3/4*a**3 - 1/4*a**4 + 0 + x*a - 3/4*a**2.
-a*(a - 1)**3/4
Let g be 1*2*536/2144. Find m, given that -g*m**2 - 1/6 + 1/6*m**3 + 1/2*m = 0.
1
Let t be (-24)/(-8) + (-8)/(-10) + -3. Let b(o) be the first derivative of o**4 + 0*o - 2/3*o**6 + 4/3*o**3 - t*o**5 + 0*o**2 + 7. Factor b(a).
-4*a**2*(a - 1)*(a + 1)**2
Suppose 112*p - 10*p**3 - 22*p + 6 + 5*p**4 + 2*p**4 - 5*p**4 - 10*p**2 - 78 = 0. What is p?
-3, 1, 3, 4
Let g = -10 + 22. Suppose -2*f = -2, -2*x - 5*f + f + g = 0. Factor -4*v**2 + 11*v**2 + 2*v**3 - v**4 + 3*v**x - 2*v - 9*v**4.
-v*(v - 1)*(v + 1)*(7*v - 2)
Suppose 12*z - 114*z - 83*z - 281 - 5*z**2 + 101 = 0. What is z?
-36, -1
Let y(b) = -3*b**2 + 4*b - 10. Let x(i) = i**2 + i + 1. Let t be 3 - (2 - 1)/1. Let l(g) = t*x(g) + y(g). Factor l(o).
-(o - 4)*(o - 2)
Let k(x) be the first derivative of -x**5/40 - x**4/6 - 5*x**3/12 - x**2/2 + 5*x - 9. Let w(p) be the first derivative of k(p). Let w(y) = 0. What is y?
-2, -1
Let s(o) be the second derivative of o**4/9 - 260*o**3/3 + 25350*o**2 - 142*o. Find f such that s(f) = 0.
195
Let y(r) = -2*r - 5. Suppose -4*a - 16 = -0*a. Let o be y(a). Factor 0*l**3 - 3*l**3 + 8*l**3 + 10*l**o - 18*l - 39*l**2.
3*l*(l - 3)*(5*l + 2)
Suppose -3*o = -8*o + 3*k + 27, 2*o = -2*k - 2. Factor -3*l**5 - 3*l**4 + 8*l**5 + 0*l**2 - 3*l**o - l**2 - 6*l**5.
-l**2*(l + 1)**3
Let n(d) be the first derivative of 0*d - 3/16*d**4 - 9/20*d**5 + 0*d**2 + 1/8*d**6 + 15 + 3/4*d**3. What is z in n(z) = 0?
-1, 0, 1, 3
Suppose -5*j + 3*j = -t - 5, -2*t - j = -10. Suppose -2*n + 10 = -3*x, -5*x + 2*n - 7 - t = 0. Factor 8/7*v**2 + x - 2/7*v.
2*v*(4*v - 1)/7
Suppose -3*r + 4*r + 5*t = 32, 5*r + 2*t - 45 = 0. Factor -g**2 + 3*g**4 - r*g**2 - g**2 - 6*g**3.
3*g**2*(g - 3)*(g + 1)
Let w = -4089 - -28633/7. Factor 1/7*f**3 + 32/7*f - w*f**2 - 32/7.
(f - 4)**2*(f - 2)/7
Factor -19*u**4 + 20*u**2 - 186*u + 12*u**3 + 27*u**5 - u**4 + 170*u - 23*u**5.
4*u*(u - 4)*(u - 1)**2*(u + 1)
Let d be 1/11 + (-11 - 7596/(-660)). Factor d*i**2 + 1/5 + 3/5*i + 1/5*i**3.
(i + 1)**3/5
Let j(s) be the second derivative of -5*s**7/42 + 4*s**6/3 - 160*s**4/3 + 640*s**3/3 + 6*s - 26. What is g in j(g) = 0?
-4, 0, 4
Let j(x) be the first derivative of -x**6/6 - 8*x**5/5 - 7*x**4/4 + 120. Factor j(n).
-n**3*(n + 1)*(n + 7)
Let u be 90/180 + (-2)/(-8)*-1. Let y(o) be the third derivative of 0 - u*o**4 - 2/3*o**3 + 0*o - 1/30*o**5 - 5*o**2. Factor y(a).
-2*(a + 1)*(a + 2)
Let t(l) be the third derivative of 4*l**3 + 0*l - 1/70*l**7 - 3/10*l**5 - 1/2*l**4 + 0 + 1/8*l**6 - 8*l**2. Factor t(v).
-3*(v - 2)**3*(v + 1)
Let w(u) be the first derivative of u**3/2 + 27*u**2/2 + 51*u/2 - 52. Determine c so that w(c) = 0.
-17, -1
Suppose -5*a + 22 = 2. Suppose 2*y - 10 - 4 = 2*r, 4*y + 4*r + a = 0. Determine b so that b**4 + 2*b**2 + 0*b**3 + b**5 + y*b**4 + 5*b**3 = 0.
-2, -1, 0
Let m(h) = -24*h**4 + 108*h**3 - 114*h**2 + 27*h. Let w(q) = -47*q**4 + 217*q**3 - 228*q**2 + 53*q. Let r(l) = 5*m(l) - 3*w(l). What is j in r(j) = 0?
0, 2/7, 1, 4
Let y be ((-3)/3)/((-9)/(-12) + -1). Suppose 4*r - 3*r = -y*r. Suppose 2/7*p**2 + r + 0*p + 2/7*p**3 = 0. Calculate p.
-1, 0
Let p = -17783/2 + 8901. Factor -p*l + 7 - 3/2*l**2.
-(l + 7)*(3*l - 2)/2
Suppose -6*n + 6 = -6. Suppose 2 - 2*v**4 - n - 2*v**3 + 0 = 0. Calculate v.
-1, 0
Factor -6*d**5 + 0 - 8/3*d + 22/3*d**3 + 4*d**4 - 8/3*d**2.
-2*d*(d - 1)**2*(3*d + 2)**2/3
Suppose 4*j - 13 = -5. Factor 11 - 6*x**j + 7*x + 2 - 14.
-(x - 1)*(6*x - 1)
Let o be 315/1825 + (-32)/(-1168). Factor w**2 - o*w - 3/5*w**3 - 1/5.
-(w - 1)**2*(3*w + 1)/5
Let p(i) be the third derivative of i**7/315 + 11*i**6/12 + 605*i**5/6 + 166375*i**4/36 - 304*i**2. Factor p(l).
2*l*(l + 55)**3/3
Let g = 2457/3260 - 3/815. Let d(z) be the first derivative of 0*z**2 + g*z**4 - 2 + 0*z + 2*z**3. Factor d(c).
3*c**2*(c + 2)
Let b(s) be the second derivative of -1/57*s**7 + 20*s - 28/57*s**3 + 7/38*s**5 + 8/19*s**2 + 0 - 5/57*s**4 + 2/285*s**6. Determine k, given that b(k) = 0.
-2, -1, 2/7, 1, 2
Factor 10*w**2 + 65/2*w + 15/2.
5*(w + 3)*(4*w + 1)/2
Factor -82*y**3 + 163*y**3 - 390*y**2 - 22555*y - 549250 - 83*y**3 - 2795*y.
-2*(y + 65)**3
Let t(z) be the first derivative of -z**3/3 - 5*z**2/2 + 2*z + 16. Let q be t(-5). Determine c so that 1/3 - 1/2*c + 1/6*c**q = 0.
1, 2
Suppose 2*t + 0*t = 28. Let w(l) = -7*l**2 - t*l**2 - 11*l**2 - 34*l**2 + 144*l**3. Let x(j) = 11*j**3 - 5*j**2. Let g(p) = -2*w(p) + 27*x(p). Factor g(y).
3*y**2*(3*y - 1)
Let r be (-1 + (4 - 2))*(-8)/(-24). Let h(d) be the first derivative of -2 + 1/3*d**2 + 0*d - 5/12*d**4 - r*d**3. What is c in h(c) = 0?
-1, 0, 2/5
Let r = -6 + 10. Suppose -r = -3*c + 5*y, -y + 4*y = -3*c + 12. Determine a so that -2/9*a**c + 2/9*a + 0 + 0*a**2 = 0.
-1, 0, 1
Let c = -489/175 - -102/25. Factor -9/7*n - c*n**2 - 9/7*n**4 + 3*n**3 + 6/7.
-3*(n - 1)**3*(3*n + 2)/7
Let c(h) be the second derivative of h**7/252 + h**6/36 + h**5/40 - 17*h**4/72 - 7*h**3/9 - h**2 + 5*h - 15. Let c(q) = 0. Calculate q.
-3, -2, -1, 2
Let v(u) be the first derivative of -u**3/2 + 177*u**2/2 - 10443*u/2 - 251. Solve v(l) = 0.
59
Let a(n) be the third derivative of -n**6/24 - 7*n**5/4 - 165*n**4/8 + 605*n**3/6 - 27*n**2. Solve a(q) = 0.
-11, 1
Let l be (-2)/5 + (-22)/(-5). Facto