t c(b) = 20*b**2 + 10*b. Let y(g) = h*c(g) + 5*a(g). Determine x so that y(x) = 0.
-2, -1, 0
Factor -45/8 + 3*o - 3/8*o**2.
-3*(o - 5)*(o - 3)/8
Let x be 4/22 - 5/(165/(-126)). Let g be 6/60*x + 1/(-15). Find j, given that 1/3*j**2 + 0 - g*j = 0.
0, 1
Let s be -2 + (33/11 - 1*-371). Find i such that s*i - 55*i**2 - 188 - 72*i + 4*i**3 + 688 + 115*i**2 = 0.
-5
Let k = 56381/2643 + 1/881. Let f = k - 21. Factor 0*m + 0 + f*m**3 + 0*m**2.
m**3/3
Let v = -167 + 171. Suppose -2*d - 3*g = g - 16, -v*g + 8 = -2*d. Factor -4/3*s + 4/3 + 4/3*s**3 - 4/3*s**d.
4*(s - 1)**2*(s + 1)/3
Factor 38*v + 100*v**2 - 193*v**2 + 95*v**2 + 36.
2*(v + 1)*(v + 18)
Let b be 94/12 - (-6)/36. Suppose 6*x - 10*x + b = 0. Factor -10*q**2 - 10*q**x + q + 21*q**2.
q*(q + 1)
Let r(m) be the second derivative of -m**5/45 - m**4/24 - 6*m**2 + 15*m. Let w(k) be the first derivative of r(k). Solve w(b) = 0 for b.
-3/4, 0
Let l(k) be the second derivative of k**5/140 - 5*k**4/42 + 16*k**3/21 - 16*k**2/7 + 56*k. Let l(f) = 0. Calculate f.
2, 4
Factor -36/11*i**2 - 2/11*i**4 - 10/11 - 16/11*i**3 - 32/11*i.
-2*(i + 1)**3*(i + 5)/11
Let s(z) be the third derivative of -7*z**5/300 - z**4/60 - 12*z**2 + 8*z. Find h, given that s(h) = 0.
-2/7, 0
Let a(w) = w**4 + 7*w**3 - 3*w. Suppose -16 = 5*f - 3*f. Let v(x) = 4*x**4 + 20*x**3 - 8*x. Let l(p) = f*a(p) + 3*v(p). Suppose l(n) = 0. What is n?
-1, 0
Let x = 52 - 47. Find i such that -15*i**x + 6*i**5 + 5*i**5 - 3*i**4 + i**3 = 0.
-1, 0, 1/4
Factor -340/11*d - 2/11*d**2 - 14450/11.
-2*(d + 85)**2/11
Let w(u) = -6*u**2 - 513*u - 21168. Let j(x) = 5*x**2 + 510*x + 21168. Let a(c) = 3*j(c) + 2*w(c). Let a(t) = 0. Calculate t.
-84
Suppose 0 = 9*k - 11*k - 12*k. Let j(n) be the first derivative of k*n + 3/10*n**5 - 3/8*n**4 - 7 - 1/12*n**6 + 0*n**2 + 1/6*n**3. Determine m so that j(m) = 0.
0, 1
Let h(u) = u**2 + 7*u - 14. Let f be h(-9). Let z(p) be the second derivative of 1/12*p**f - 1/3*p**3 - 9*p + 1/2*p**2 + 0. Determine i, given that z(i) = 0.
1
Let h(s) be the first derivative of -5*s**3/3 + 95*s**2/2 - 420*s - 559. Factor h(b).
-5*(b - 12)*(b - 7)
Factor -65*b**2 + 208*b**2 - 35*b + 50 - 84*b**2 + 5*b**3 - 79*b**2.
5*(b - 5)*(b - 1)*(b + 2)
Let d be (-776)/(-80) + 7 + 248/(-40). Find n, given that d*n**2 + 4*n - 7/2*n**4 - 2 + n**3 = 0.
-1, 2/7, 2
Let 33347*j + 6*j**4 - 166*j**4 + 4*j**5 + 2020*j**3 - 8600*j**2 - 9248 - 18387*j = 0. What is j?
2, 17
Suppose -4*k + 5*l = 5, -l - 5 = -6*l. Factor -2*v**3 + k*v**3 - 2*v + 4*v**2 - 2*v**4 + 4*v - 2*v**2.
-2*v*(v - 1)*(v + 1)**2
Let -3/2*n**5 - 3*n**4 - 9/2*n + 0 + 6*n**3 + 3*n**2 = 0. What is n?
-3, -1, 0, 1
Let o(u) be the second derivative of u**4/3 + 10*u**3 + 108*u**2 + 686*u. Find y, given that o(y) = 0.
-9, -6
Factor 31*u**4 - 265*u**3 + 654698*u + 54*u**4 + 200*u**2 - 654718*u.
5*u*(u - 2)*(u - 1)*(17*u - 2)
What is p in 10*p**3 + 60*p**4 - 34*p**4 - 28*p**4 = 0?
0, 5
Let a(w) be the first derivative of 2*w**3/27 - 5*w**2/3 + 51. Factor a(g).
2*g*(g - 15)/9
Let z = -937/10 + 1163/15. Let a = z + 53/3. Factor -1/2*v**5 - 1/2*v**2 + 0*v - 3/2*v**4 + 0 - a*v**3.
-v**2*(v + 1)**3/2
Let m be (18 + (-915)/50)*(-15)/18. Factor 0 - m*l**3 + l + 0*l**2.
-l*(l - 2)*(l + 2)/4
Let d(b) be the first derivative of b**5/270 + b**4/27 + 4*b**3/27 - 35*b**2/2 + 29. Let o(u) be the second derivative of d(u). Find x such that o(x) = 0.
-2
Suppose 0 = 24*s - 87 + 15. Let p(r) be the second derivative of 0*r**4 + 0 + 0*r**2 - 1/45*r**s + 0*r**6 - r + 1/75*r**5 - 1/315*r**7. Factor p(q).
-2*q*(q - 1)**2*(q + 1)**2/15
Solve -15*f**3 + 0 - 3/4*f**4 - 351/4*f**2 - 243/2*f = 0 for f.
-9, -2, 0
Let s(w) be the second derivative of -5*w**4/8 + 17*w**3/12 - w**2/2 + 59*w. Factor s(f).
-(f - 1)*(15*f - 2)/2
Suppose 5*c = 3*c - 3*r - 36, 3*r - 108 = 4*c. Let v be c/28*7/(-4). Find h, given that h - v*h**4 + 0 + 3/2*h**2 - 1/2*h**5 - 1/2*h**3 = 0.
-2, -1, 0, 1
Suppose 0 = 4*q + 2*y - 2, 4*q - 16*y = -11*y - 5. Let b(f) be the first derivative of 1/2*f**4 - 3*f**2 - 4*f - 10 + q*f**3. Let b(h) = 0. Calculate h.
-1, 2
Let l(f) = 4*f**5 - 5*f**4 - 33*f**3 + 203*f**2 - 157*f - 384. Let v(n) = n**5 - n**3 + n**2 + n. Let z(t) = -l(t) + 3*v(t). Factor z(b).
-(b - 4)**3*(b + 1)*(b + 6)
Let r(s) = -s**2 + 11*s - 6. Let f be r(10). Suppose f*m = -m. Determine i so that i**2 - 3*i + 0 + m + i**3 + i = 0.
-2, 0, 1
Let -32/7*i**2 - 2/7*i**5 + 32/7 + 0*i**4 - 24/7*i + 26/7*i**3 = 0. What is i?
-4, -1, 1, 2
Let c(w) be the second derivative of w**4/42 + 5*w**3/7 - 16*w**2/7 + w + 88. Suppose c(o) = 0. What is o?
-16, 1
Let j = 699 - 67. Let p be j/20 + 4/10. Factor -15*y**5 - 4*y**3 + p*y**4 - 8*y**4 + y**3 - 6*y**2.
-3*y**2*(y - 1)**2*(5*y + 2)
Suppose 4 = 4*a + f, a - 6*f + 20 = -f. Suppose -5*b + 7*b - 39 = -5*z, b - 2*z - 6 = a. Factor -3*n**2 + 9/2*n**5 + 0*n - b*n**4 + 0 + 21/2*n**3.
3*n**2*(n - 1)**2*(3*n - 2)/2
Let p = -310046/7 - -44186. Let u = -106 - p. Find v, given that -8/7*v + 8/7 + u*v**2 = 0.
2
Suppose 51/2*m - 45 + 3/2*m**5 - 21*m**4 + 66*m**2 - 27*m**3 = 0. What is m?
-2, -1, 1, 15
Let a(k) be the third derivative of k**7/70 + 7*k**6/40 - 17*k**5/20 + 9*k**4/8 + 49*k**2. Solve a(i) = 0.
-9, 0, 1
Let p(g) = -g**5 - 18*g**4 + g**3 + 13*g**2 - 5*g - 5. Let h(u) = -2*u**5 - 27*u**4 + 2*u**3 + 20*u**2 - 7*u - 7. Let j(i) = 5*h(i) - 7*p(i). Solve j(q) = 0.
-3, -1, 0, 1
Let b be 0/((45/(-75)*40/(-12))/2). Factor b + 1/3*l**3 + 2/3*l + l**2.
l*(l + 1)*(l + 2)/3
Let r(a) = a**2 - 6*a - 9. Let m be r(-2). Let z be 4/6*(4 + -1). Suppose -m*u**2 + 11*u**2 - 6*u**z = 0. What is u?
0
Let y(o) be the third derivative of 1/6*o**5 + 0*o - 5/2*o**3 + 1/42*o**7 + 5/6*o**4 + 0 - 1/6*o**6 - 17*o**2. Suppose y(z) = 0. Calculate z.
-1, 1, 3
Let l be 5/6*(-24)/(-60). Factor 0 + 1/6*m**3 + 1/6*m**2 - l*m.
m*(m - 1)*(m + 2)/6
Suppose 23/6*u**2 + 1/6*u**3 + 20*u - 24 = 0. What is u?
-12, 1
Suppose 117 = 4*p - 27. Let h be (p/(-10) - -2)/((-34)/17). Factor r - 2/5*r**2 + 4/5*r**4 - 1/5*r**5 - 2/5 - h*r**3.
-(r - 2)*(r - 1)**3*(r + 1)/5
Let m = -5180 + 51801/10. Factor 0*d**3 + 0 - 1/10*d**4 + m*d**2 + 0*d.
-d**2*(d - 1)*(d + 1)/10
Let l(s) be the third derivative of -36*s**2 + 0*s - 1/360*s**6 + 0 - 1/30*s**5 + 0*s**3 - 5/72*s**4. Suppose l(c) = 0. What is c?
-5, -1, 0
Let u be (-10)/(-14) + (-157409)/(-27685). Suppose -u*a - 2/5*a**2 - 128/5 = 0. What is a?
-8
Let l = 3732 - 26121/7. Factor 3/7*a - 9/7*a**2 + 9/7 - l*a**3.
-3*(a - 1)*(a + 1)*(a + 3)/7
Let s(j) = 21*j**2 + 48*j - 225. Let v(p) = 3*p**2 + 7*p - 32. Let y(z) = -4*s(z) + 27*v(z). Factor y(a).
-3*(a - 3)*(a + 4)
Suppose 49*x - 6 = 50*x. Let c(s) = -7*s**2 + 4*s - 6. Let l(g) = 15*g**2 - 9*g + 13. Let y(p) = x*l(p) - 13*c(p). Find w such that y(w) = 0.
-2, 0
Factor -g**4 - 3*g**4 + 4*g**3 + 12*g**3 - 16*g**2.
-4*g**2*(g - 2)**2
Determine f so that -62/11*f - 64/11 + 2/11*f**2 = 0.
-1, 32
Let d(m) be the first derivative of 6962*m**3/3 - 472*m**2 + 32*m - 557. Factor d(t).
2*(59*t - 4)**2
Let w(d) = -2*d**3 + d**2 - d. Let m(c) = -3*c**4 + 63*c**3 - 57*c**2 + 3*c. Let p(x) = -m(x) - 3*w(x). Suppose p(s) = 0. What is s?
0, 1, 18
Suppose 9*q + 37 + 17 = 0. Let n(h) = 17*h**3 - 5*h**2 - 13. Let p(g) = -2 - 3 + 8*g**3 - 1 - 2*g**2. Let a(f) = q*n(f) + 13*p(f). Factor a(m).
2*m**2*(m + 2)
Let b be (11 - 11)/(5 + -4). Let t(x) be the first derivative of -1/5*x**5 + b*x - 1/9*x**3 + 2 + 0*x**2 + 1/18*x**6 + 1/4*x**4. Find g such that t(g) = 0.
0, 1
Let p(f) = f**3 - 8*f**2 - 8*f + 7. Let g = -1 + 10. Let c be p(g). Factor -5*a**2 - 16*a - c + 9 - 9*a - 13.
-5*(a + 1)*(a + 4)
Factor 100*v**3 + 152*v**2 - 4*v**4 + 140*v + 20*v**4 - 108*v.
4*v*(v + 2)*(v + 4)*(4*v + 1)
What is b in -3 + 58*b + 10 - 50*b**2 + 6*b**3 - 10 - 11 = 0?
1/3, 1, 7
Let l(k) be the second derivative of 0*k**2 - 1/45*k**5 + 2/27*k**3 + 1/27*k**4 - 2/135*k**6 + 0 + 26*k. Factor l(x).
-4*x*(x - 1)*(x + 1)**2/9
Factor -78*b**5 + 8*b**2 - 73*b**5 - 8*b**3 - 4*b**4 + 155*b**5 - 4 + 4*b.
4*(b - 1)**3*(b + 1)**2
Let b(f) be the third derivative of -f**5/60 - 67*f**4/24 - 11*f**3 + 47*f**2. Factor b(d).
-(d + 1)*(d + 66)
Solve -20/3*v - 59/9 - 1/9*v**2 = 0.
-59, -1
Suppose s - 8 = -6. Solve 8*q**s - 224 + 224 + 8*q + 2*q**3 = 0 for q.
-2, 0
Let m be 1755/825 + 33/121. Solve -2/5*s**2 - 2*s - m = 0.
-3, -2
Let b(z) be 