 q = -118/3 - -263/6. Let j(u) be the first derivative of 3 + 3/4*u**4 - 3*u**3 - 3*u + q*u**2. Solve j(h) = 0 for h.
1
Suppose -38*s + 35*s = -6. Suppose 0 = -s*z + 165 - 141. Factor -6*f + z + 3/4*f**2.
3*(f - 4)**2/4
Let y be 6/(-30)*(-10)/13 - 46/(-39). Determine b so that -y*b**2 - 4/3*b - 1/3 = 0.
-1/2
Let w be (-299)/(-65) - 11 - -8. Let 0 - 4/5*q**3 - 12/5*q**2 - w*q = 0. What is q?
-2, -1, 0
Let j = -109 - -111. Factor -x - 4*x - 8 + x + 11 + x**j.
(x - 3)*(x - 1)
Let u be 0/(2*6/12). Factor -1/3*c**3 + 1/6*c**4 + u + 1/3*c - 1/6*c**2.
c*(c - 2)*(c - 1)*(c + 1)/6
Let r(h) = 9*h**3 - 13*h**2 - h. Let d(i) = -33*i - 8*i**3 + 33*i + 12*i**2. Let f(v) = -5*d(v) - 4*r(v). Let f(n) = 0. Calculate n.
0, 1
Let u(z) be the third derivative of -z**5/40 + 65*z**4/16 + 2*z**2 - 6. Suppose u(j) = 0. What is j?
0, 65
Let k(h) be the first derivative of 2*h**5/55 - h**4/22 - 26. Solve k(d) = 0 for d.
0, 1
Let j(r) be the third derivative of -r**7/1260 - r**6/360 + r**5/120 - r**2 + 4. Solve j(c) = 0.
-3, 0, 1
Let d = 16 + -16. Suppose 3*j = -2*m + j, -4*m - 2*j + 6 = d. Factor -5*z**2 + m*z**2 - 3*z**2.
-5*z**2
Suppose -4*w = -44 + 16. Let x be w*(-3)/(-21) + 4*1. Suppose 2/15*m**3 - 4/15*m**x - 2/5*m**4 + 0 + 2/5*m**2 + 2/15*m = 0. Calculate m.
-1, -1/2, 0, 1
Let x(u) = u**4 + u - 1. Let s(q) = -4*q**5 - 8*q + 8. Let g = -71 + 79. Let y(f) = g*x(f) + s(f). Factor y(d).
-4*d**4*(d - 2)
Determine k, given that -8*k + 213*k**2 - 14*k - 69*k**3 - 3*k + 7*k = 0.
0, 2/23, 3
Let g be 2 + 0*(-2)/8. Factor -8*p - 2*p**g - 3*p**2 - p**2 + 2*p**2.
-4*p*(p + 2)
Let f(v) be the first derivative of v**6/960 - 13*v**5/960 - 5*v**4/96 + 11*v**3/3 - 10. Let h(g) be the third derivative of f(g). Let h(p) = 0. Calculate p.
-2/3, 5
Let g(s) = 8*s**4 + 20*s**3 + 2*s**2 - 21*s - 3. Let w(q) = 23*q**4 + 60*q**3 + 7*q**2 - 66*q - 8. Let n(h) = 8*g(h) - 3*w(h). Suppose n(j) = 0. Calculate j.
-3, -2, 0, 1
Suppose 5*m - 5*c - 15 = 0, -4*m - 1 = -3*c - 9. Let w(l) = -l**2 - 1. Let z(g) = 3*g**3 + 6*g**2 - 15. Let x(i) = m*z(i) + 3*w(i). Factor x(q).
-3*(q - 1)*(q + 2)**2
Let l = 6182 - 6180. Let -2/19*p**3 - 2/19*p**l + 0 + 2/19*p + 2/19*p**4 = 0. What is p?
-1, 0, 1
Let p be 46/(-12) - (-26)/4. Find z, given that 0 + 4/3*z**3 - 6*z**4 - p*z**5 + 4/3*z + 6*z**2 = 0.
-2, -1, -1/4, 0, 1
Factor 9/4*s**2 + 0 + 3/4*s**3 + 0*s.
3*s**2*(s + 3)/4
Suppose -p = -d - 5, -4*p + 11*d - 13*d = 10. Let h(m) be the second derivative of p*m**2 - 1/27*m**3 - 5*m + 0 + 1/54*m**4. Suppose h(t) = 0. Calculate t.
0, 1
What is z in -15 + 0*z**2 - 5*z**2 + 63*z - 43*z = 0?
1, 3
Factor -92*z + z**4 - 40 - 45/2*z**2 + 7/2*z**3.
(z - 5)*(z + 4)**2*(2*z + 1)/2
Let p(n) be the first derivative of -4/9*n**3 + 1/9*n**4 + 5 + 0*n - 3/2*n**2 - 1/90*n**5. Let w(r) be the second derivative of p(r). Factor w(j).
-2*(j - 2)**2/3
Let l(v) be the first derivative of -1/10*v**5 - 1/16*v**4 + 1/6*v**3 + 0*v + 0*v**2 + 1/24*v**6 + 19. Factor l(a).
a**2*(a - 2)*(a - 1)*(a + 1)/4
Let k be ((-2436)/48)/(-29) + -1. Factor k*c**2 - 3/2*c - 6.
3*(c - 4)*(c + 2)/4
Let s(h) = -10*h**4 + 207*h**3 - 1077*h**2 + 397*h. Let m(g) = 70*g**4 - 1450*g**3 + 7538*g**2 - 2778*g. Let w(b) = -6*m(b) - 44*s(b). Factor w(z).
4*z*(z - 10)**2*(5*z - 2)
Determine h, given that 2*h**2 + 142*h - 48*h - 39 - 34 - 23 = 0.
-48, 1
Let g(n) be the second derivative of 5/42*n**7 + 0 + 5/6*n**6 + 5/3*n**4 + 2*n**5 + 0*n**3 + 0*n**2 - 2*n. Find w, given that g(w) = 0.
-2, -1, 0
Suppose 15*q = 3*q + 36. Suppose 3*d = -0*d - 5*c + 1, -3*c = q. Factor -1/3 + 2/3*w - 1/3*w**d.
-(w - 1)**2/3
Suppose 3*v = -v + 48. Let n = 24 - v. Solve -4*d**2 - 12*d**3 + n*d + 13*d**3 - 2*d**2 - 8 = 0.
2
Let j be (-470)/(-78) - (-18 - -24). Let m(g) be the second derivative of j*g**3 + 1/78*g**4 + g + 0 - 2/13*g**2. Factor m(a).
2*(a - 1)*(a + 2)/13
Let g(o) be the third derivative of -o**8/20160 + o**7/3780 - o**6/2160 - 5*o**4/24 - 2*o**2. Let p(v) be the second derivative of g(v). Solve p(b) = 0.
0, 1
Let t(p) be the first derivative of p**3 + 39*p**2/2 + 120*p + 293. Factor t(w).
3*(w + 5)*(w + 8)
Let t(v) be the second derivative of v**5/50 - 9*v**3/5 + 54*v**2/5 + 2*v + 63. Factor t(w).
2*(w - 3)**2*(w + 6)/5
Suppose 0 = 25*t + 75 - 200. Let k(q) be the second derivative of 1/8*q**4 - 5*q - 3/4*q**2 + 0 + 3/40*q**t - 1/4*q**3. Factor k(o).
3*(o - 1)*(o + 1)**2/2
Suppose -4*m + 4 = -2*m. Suppose 0 = -x + m*l - 3 + 4, 4*x + 3*l - 26 = 0. What is w in -3*w**2 + 4*w**2 + x*w**2 - 2*w**4 + 4*w = 0?
-1, 0, 2
Let y = -125 - -80. Let c = 47 + y. Solve 0*w**3 - 6/5*w**c + 4/5*w + 2/5*w**4 + 0 = 0.
-2, 0, 1
Let a = -52 - -28. Let m = a - -63. Factor 4*k**3 - 39*k - 14*k**4 + m*k.
-2*k**3*(7*k - 2)
Factor 0 - 104/5*x + 4/5*x**3 - 44/5*x**2.
4*x*(x - 13)*(x + 2)/5
Factor -46 + 48*o**2 + 20*o**3 - 11*o + 38 + 55*o + 2*o**4 + 22.
2*(o + 1)**3*(o + 7)
Let h(d) = -d**3 + 4*d**2 + 3*d - 7. Let w be h(4). Let j be (w/2)/1*60/75. Factor -4/5*p + 3/5 + 1/5*p**j.
(p - 3)*(p - 1)/5
Suppose 2*h + 12 = -7*o + 3*o, 5*o + 5 = -5*h. Let r(g) be the third derivative of 1/15*g**5 + 0*g + 0 + g**3 - 7/12*g**h - 6*g**2. Solve r(i) = 0.
1/2, 3
Let a(n) be the second derivative of -5*n**4/12 - 5*n**3/2 + 100*n**2 - 13*n + 4. Find y, given that a(y) = 0.
-8, 5
Let a(z) be the first derivative of -169*z**4/2 + 988*z**3/3 - 348*z**2 + 144*z + 8. Factor a(q).
-2*(q - 2)*(13*q - 6)**2
Let 44/13*j - 2/13*j**2 - 242/13 = 0. What is j?
11
Suppose 172*d**2 + 5*d**5 - 25*d**4 - 540*d - 45*d**3 - 71*d**2 + 63*d**2 + 281*d**2 - 40*d**2 = 0. What is d?
-4, 0, 3
Let b = 2541/2 + -1269. Let 3*t**2 - 3/2*t**5 + 0*t**3 + b*t - 3*t**4 + 0 = 0. Calculate t.
-1, 0, 1
What is p in -3/5*p**2 + 3/5*p + 3/5 - 3/5*p**3 = 0?
-1, 1
Let a = -12 + 21. Let d = 561 + -558. Determine q so that 5*q - 2*q - 24*q**2 + 9*q**2 + 3 + a*q**d = 0.
-1/3, 1
Let s(p) be the third derivative of -p**7/175 + 9*p**6/200 - 27*p**4/40 + 9*p**2. Solve s(a) = 0 for a.
-3/2, 0, 3
Let u(v) = 7*v**2 + 3*v - 2. Let c be u(1). Suppose 2*t = 12 - c. Factor -4*q**2 + 2*q**t + 2*q**4 - 4*q**4 - q + q**5 + 4*q**4.
q*(q - 1)*(q + 1)**3
Let c(v) = v**2 - 23*v - 19. Let w(g) = -3*g**2 + 81*g + 66. Let u(r) = -18*c(r) - 5*w(r). Let u(s) = 0. Calculate s.
-1, 4
Find v, given that -152*v**2 - 162 - 18*v + 147 + 149*v**2 = 0.
-5, -1
Let l(m) be the first derivative of m**6/24 + 7*m**5/40 + m**4/4 - 7*m**3/3 + 22. Let x(h) be the third derivative of l(h). Solve x(u) = 0.
-1, -2/5
Let u(i) be the third derivative of -i**5/240 - i**4/24 - i**3/8 - 27*i**2. Factor u(p).
-(p + 1)*(p + 3)/4
Factor 1393*z**3 + 28*z**2 - 68*z**2 - 20*z**4 - 4 + 4*z**5 - 1353*z**3 + 20*z.
4*(z - 1)**5
Let q(i) be the third derivative of -i**6/280 - 3*i**5/70 + 2*i**4/7 + 85*i**2 - 3. Determine k, given that q(k) = 0.
-8, 0, 2
Let f(g) be the second derivative of -1/144*g**4 + 0*g**3 + 0 - 1/180*g**5 + 5/2*g**2 - 6*g - 1/720*g**6. Let w(p) be the first derivative of f(p). Factor w(k).
-k*(k + 1)**2/6
Let b be 2/5 - 8/(-5). Let l = -10 + 12. Factor -b*f + 4*f + 4*f**3 + 2*f**l + 8*f**2 + 4*f**3.
2*f*(f + 1)*(4*f + 1)
Let q(v) be the second derivative of v**7/5040 + v**6/240 + v**5/30 - 13*v**4/12 - 35*v. Let o(g) be the third derivative of q(g). Let o(j) = 0. What is j?
-4, -2
Suppose -6*m = -0 - 0. Suppose -9/7*a + m - 3/7*a**2 = 0. What is a?
-3, 0
Factor 8/5*h**3 + 0*h**2 - 4/5 - 8/5*h + 4/5*h**4.
4*(h - 1)*(h + 1)**3/5
Suppose 15 = c + 12. Suppose 0*m - c*m + 9 = 0. What is f in 3/4 + 0*f + 3/4*f**4 - 3/2*f**2 + 0*f**m = 0?
-1, 1
Let z be (-2 + (5 - 0))/1. Suppose 3*g - 5 = -z*l + 2*g, 0 = -l - 2*g. Find w, given that 0*w**l + 3/2*w**3 + 0 - 9/4*w**4 - 21/2*w**5 + 0*w = 0.
-1/2, 0, 2/7
Factor 70*s**3 - 2*s**4 - 68*s**2 + 3*s - 37*s + 34*s.
-2*s**2*(s - 34)*(s - 1)
Let c = 41/85 + 3/170. Let a(k) be the first derivative of 2/3*k**3 - c*k**4 + 4 + 2*k**2 + 0*k. Solve a(q) = 0 for q.
-1, 0, 2
Let g(t) = t**2 + 3*t + 2. Let r(x) = -2*x**2 - 3*x - 1298 - 3*x + 1294. Let w(v) = 7*g(v) + 3*r(v). Factor w(u).
(u + 1)*(u + 2)
Factor 224*v**2 + 144*v - v**3 - 16*v**3 + 4*v**4 + 67*v**3 + 34*v**3.
4*v*(v + 1)*(v + 2)*(v + 18)
Let d be (6/8)/(2/16). Let q(f) = -8*f**2 - 8*f + 5. Let o = -148 + 153. Let p(n) = 9*n**2 + 9*n - 6. Let w(t) = d*q(t) + o*p(t). Solve w(l) = 0.
-1, 0
Let r = -77 - -80. 