/2, 4
Let h(d) = d**3 - 4*d + 2. Let v be h(2). Factor -6*o**4 + 8*o**v + 222*o**5 - 4*o + 2*o**3 - 220*o**5 - 2*o**2.
2*o*(o - 2)*(o - 1)**2*(o + 1)
What is c in -6/5*c**3 + 2/5*c**2 - 2/5*c**5 + 6/5*c**4 + 0*c + 0 = 0?
0, 1
Let f = -62/385 + 12/35. Let h(b) = b**3 - b**2 - 7*b + 6. Let k be h(3). Find q, given that -2/11*q**k + 2/11*q - f + 2/11*q**2 = 0.
-1, 1
Let g(s) = 2*s**2 + 78*s - 436. Let u be g(-44). Factor 0 + 1/2*c**2 + 0*c - 11/4*c**3 - 7/4*c**5 + 4*c**u.
-c**2*(c - 1)**2*(7*c - 2)/4
Let c be 72/(-252)*14/(-22). What is v in 14/11*v**3 + c*v**4 + 18/11*v + 0 + 30/11*v**2 = 0?
-3, -1, 0
Suppose -2*r + 1 = -5. Suppose -g = -p, -g - 2*p = g - 8. Solve 3*a**g - 3 + 3/2*a**r - 3/2*a = 0 for a.
-2, -1, 1
Let v(b) be the third derivative of b**8/1008 + b**7/315 - b**6/180 - b**5/45 + b**4/72 + b**3/9 - 137*b**2. What is q in v(q) = 0?
-2, -1, 1
Let q be (-700)/21*(-3)/54*-3. Let c = 6 + q. Let c*j + 4/9*j**2 - 4/9 - 4/9*j**3 = 0. Calculate j.
-1, 1
Let p(d) = -6*d + 93. Let z be p(15). Let h be (45/(-35) + 1)/((-1)/z). Suppose -2/7*s**2 + 8/7*s - h = 0. What is s?
1, 3
Let m = 382 + -378. Let s(n) be the second derivative of -1/30*n**m - 2*n + 0 - 1/50*n**5 + 1/15*n**3 + 1/5*n**2. Suppose s(i) = 0. Calculate i.
-1, 1
Let d = 0 - -3. Suppose 3*z + d - 12 = 0. Solve 11*r**2 + 12*r**3 - 20*r**2 + 6 + 0*r**z - 21*r - 6*r**2 = 0 for r.
-1, 1/4, 2
Let w be 104/8 + 847/(-66). Factor w*p**2 + 1/3*p + 0.
p*(p + 2)/6
Let p(r) be the first derivative of r**3 - 1/10*r**6 + 3/2*r**2 + 0*r**4 - 11 + 9*r - 3/10*r**5. Let j(w) be the first derivative of p(w). Factor j(v).
-3*(v - 1)*(v + 1)**3
Let t be (2*(-6)/8)/((-9)/(-48)). Let s = t + 26/3. Factor 2*k - 5/6*k**2 - s.
-(k - 2)*(5*k - 2)/6
Suppose 0 = 17*u + 4 - 38. Solve 15/4 + 3/4*k**u + 9/2*k = 0 for k.
-5, -1
Factor 4*y**2 + 33 - 76*y - 2 - 17 + 17 + 41.
4*(y - 18)*(y - 1)
Let p(v) = 3*v**2 + 12*v + 24. Let m(g) = -1. Suppose -4*o - 48 = -0. Let n(a) = o*m(a) - p(a). Factor n(s).
-3*(s + 2)**2
Let a be (-6*(-44)/(-165))/(-2). Factor -a*d - 2/5*d**3 + 0 + 6/5*d**2.
-2*d*(d - 2)*(d - 1)/5
Let t(d) be the second derivative of -4/13*d**2 + d - 15/26*d**4 + 10 + 8/13*d**3 + 5/26*d**5. Solve t(p) = 0 for p.
2/5, 1
Let 11*u**2 - 28*u + 4*u + 17*u**2 + 21 - 25*u**2 = 0. What is u?
1, 7
Let p(l) be the third derivative of l**5/240 + l**4/24 + l**3/6 - 133*l**2. Factor p(t).
(t + 2)**2/4
Suppose 2*u - 27 = y, 0*u + 4*y - 46 = -3*u. Let f = -10 + u. Factor -r**3 - 3*r**3 + f*r**4 + 0*r**4.
4*r**3*(r - 1)
Let l(a) = 50*a + 653. Let n be l(-13). Factor -1/3*r**n + 0 - 1/3*r**4 + 0*r**2 + 0*r.
-r**3*(r + 1)/3
Let r(a) = -189*a**2 - 108*a + 54. Let w(y) = y + 1. Let k(t) = r(t) - 6*w(t). Factor k(c).
-3*(7*c - 2)*(9*c + 8)
Let v be 6 - 76*1/14. Factor 2/7*q**3 - v*q + 0 + 2/7*q**2.
2*q*(q - 1)*(q + 2)/7
Let o(x) = x**4 - 42*x**3 + 155*x**2 - 85*x. Let r(f) = -7*f**3 + 26*f**2 - 14*f. Let a(k) = 6*o(k) - 39*r(k). Factor a(t).
3*t*(t - 2)*(t + 6)*(2*t - 1)
Suppose u - 16 = -3*u. Let 3*w**u - 25*w - 30*w + 15*w**2 + 61*w + 12*w**3 = 0. What is w?
-2, -1, 0
Let p be (4 - 2)/(-6) + 9/27. Let o be p + (1/(-2) - -2). Find x such that 9/2*x - 3/2*x**4 + 3 - o*x**2 - 9/2*x**3 = 0.
-2, -1, 1
Let o(n) be the first derivative of n**4/6 - 26*n**3/3 + 169*n**2 - 4394*n/3 - 74. Suppose o(b) = 0. What is b?
13
Let p(a) = 3*a**2 + a - 2. Let z = -69 - -70. Let b be p(z). Factor 18/5 + 12/5*h + 2/5*h**b.
2*(h + 3)**2/5
Let c(w) = -12*w**3 - 31*w**2 - 13*w + 8. Let p(z) = 24*z**3 + 61*z**2 + 25*z - 17. Let t(v) = 5*c(v) + 2*p(v). Factor t(a).
-3*(a + 1)*(a + 2)*(4*a - 1)
Suppose -64/5*h**3 - 448/5*h - 312/5*h**2 - 196/5 - 4/5*h**4 = 0. What is h?
-7, -1
Let h(u) be the third derivative of 0*u + 5/6*u**3 - 1/12*u**5 + 0*u**4 + 0 - 19*u**2. Factor h(a).
-5*(a - 1)*(a + 1)
What is s in 3*s - 18/7 - 3/7*s**2 = 0?
1, 6
Let k be 0/((-12)/(-4))*1. Suppose k*c + 8 = 5*x - 4*c, 0 = 4*c - 12. Factor -4*z**x + 9*z**3 + 4*z**4 + 3*z + 0*z**4 + 3*z**4 + 9*z**2.
3*z*(z + 1)**3
Let n = 314 - 12245/39. Let i(f) be the second derivative of -1/195*f**6 + n*f**4 + 0*f**5 + 3*f - 1/13*f**2 + 0 + 0*f**3. Factor i(x).
-2*(x - 1)**2*(x + 1)**2/13
Let z(b) be the third derivative of -b**6/280 - b**5/28 - b**4/14 + 114*b**2. Factor z(k).
-3*k*(k + 1)*(k + 4)/7
Let m(r) be the first derivative of -4*r**5/5 - 13*r**4 - 200*r**3/3 - 64*r**2 + 384*r - 271. Determine a so that m(a) = 0.
-6, -4, 1
Let w = -17835 + 17839. Suppose -9/8*p**2 + 3/2*p**5 + 3/8*p + 0 - 15/8*p**3 + 9/8*p**w = 0. What is p?
-1, 0, 1/4, 1
Let s(c) = -6*c**2 - 33*c + 9. Let i(x) = 13*x**2 + 65*x - 18. Let v(w) = 2*i(w) + 5*s(w). Factor v(r).
-(r + 9)*(4*r - 1)
Factor 8*z**3 - 93/7*z**2 + 18/7*z + 0 - 9/7*z**4.
-z*(z - 3)**2*(9*z - 2)/7
Let b = -2 + 64. Let r be b/14 + (-3 - (-7)/(-7)). Factor 3/7*s**2 - 3/7*s**4 - 3/7*s + 0 + r*s**3.
-3*s*(s - 1)**2*(s + 1)/7
Let z(u) be the first derivative of -2*u**5/5 + 15*u**4/2 - 44*u**3 + 116*u**2 - 144*u - 352. Find g such that z(g) = 0.
2, 9
Suppose -31*o + 40 + 84 = 0. Factor -3/7*u - 3/7*u**o + 0 + 3/7*u**3 + 3/7*u**2.
-3*u*(u - 1)**2*(u + 1)/7
Let f(o) be the first derivative of 3*o**4/4 - 18*o**2 + 48*o - 19. Solve f(u) = 0.
-4, 2
What is c in 2*c**3 + 20*c**2 + 15*c**3 - 19*c**3 = 0?
0, 10
Let g(o) be the third derivative of -51*o**2 + 0*o - 1/180*o**6 + 0 + 1/18*o**4 + 0*o**3 - 1/90*o**5. Factor g(b).
-2*b*(b - 1)*(b + 2)/3
Suppose -218 = -5*l - 3*f - 38, -2*l - 4*f = -72. Factor y**2 + 39*y**3 + l*y**3 - 2*y - 74*y**3.
y*(y - 1)*(y + 2)
Suppose 2*k - 11 = -5. Solve 1 - 17*g**k + 10*g + 0 - 6 + 7*g**3 + 5*g**4 = 0.
-1, 1
Factor 19/2*h - h**2 - 9/2.
-(h - 9)*(2*h - 1)/2
Let v(z) be the first derivative of z**4 - 8*z**3/3 - 14*z**2 - 16*z - 121. Solve v(g) = 0.
-1, 4
Solve -29*b - 13*b**3 + 37*b + 11*b**3 = 0.
-2, 0, 2
Let t(q) be the first derivative of -q**3/6 - 23*q**2/2 - 529*q/2 - 172. Solve t(n) = 0 for n.
-23
Let b(o) = 16*o**4 + 45*o**3 - 7*o**2 - 48*o - 7. Let l(q) = q**4 - 2*q**3 + 2*q**2 - q - 1. Let v(j) = -3*b(j) + 3*l(j). Find h, given that v(h) = 0.
-3, -1, -2/15, 1
Let u(l) be the second derivative of 1/39*l**3 + 1/78*l**4 + 0*l**2 + 0 + 3*l. Factor u(f).
2*f*(f + 1)/13
Suppose 3*i + 9 = l + 15, -l - 3*i + 18 = 0. Suppose -l*v + 5 + 7 = 0. Factor 0 - 2/21*x - 4/21*x**v - 2/21*x**3.
-2*x*(x + 1)**2/21
Let n(p) = -21*p + 14 - 31*p**3 + 16*p**2 + 23*p**2 - 3 - 2*p**5 + p**4 + 8*p**4. Let s(c) = -c**4 + c**3 - c**2 + c + 1. Let o(z) = n(z) - 5*s(z). Factor o(v).
-2*(v - 3)*(v - 1)**4
Let i(a) be the third derivative of 1/40*a**5 + 16*a**2 + 0 - 1/140*a**7 - 1/80*a**6 + 1/16*a**4 + 0*a**3 + 0*a. What is x in i(x) = 0?
-1, 0, 1
Let j(a) be the third derivative of 5*a**6/144 + a**5/24 + a**4/48 - 2*a**3/3 + 15*a**2. Let y(w) be the first derivative of j(w). Let y(o) = 0. What is o?
-1/5
Let w(c) be the first derivative of 2*c**3/21 + 16*c**2/7 + 174. Solve w(b) = 0 for b.
-16, 0
Factor -8*v**2 - 5*v**3 - 12*v**2 - 15 - 14*v**2 - 15 - 55*v + 4*v**2.
-5*(v + 1)*(v + 2)*(v + 3)
Let a(l) be the first derivative of -l**5/50 + 7*l**4/20 - 16*l**3/15 - 32*l**2/5 - 14. Factor a(o).
-o*(o - 8)**2*(o + 2)/10
Let j(d) = -5*d**3 - 6*d**2 + 5*d - 16. Let s(y) = -y**3 - y**2 + y - 3. Let f(a) = 2*j(a) - 11*s(a). Suppose f(x) = 0. Calculate x.
-1, 1
Let a(z) = -z - 21. Let i(h) = 2*h + 20. Let m(q) = 6*a(q) + 5*i(q). Let y be m(7). Factor -2/3*p + 1/3*p**3 + 0 + 1/3*p**y.
p*(p - 1)*(p + 2)/3
Factor 4/9*f**2 - 4*f + 56/9.
4*(f - 7)*(f - 2)/9
Suppose 8/9*o + 2/9*o**2 + 0 = 0. Calculate o.
-4, 0
Let u(w) be the first derivative of 4*w**6/3 + 12*w**5/5 - 5*w**4 - 20*w**3/3 + 6*w**2 + 8*w + 381. Suppose u(t) = 0. What is t?
-2, -1, -1/2, 1
Suppose 0 = -6*k + 24 + 6. Let h(y) = -3*y**2 + 2*y - 5. Let q(z) = z**2 - z + 2. Let n(p) = k*q(p) + 2*h(p). Determine s, given that n(s) = 0.
-1, 0
Factor -8/5*z**3 - 18/5 + 4/5*z**2 + 24/5*z - 2/5*z**4.
-2*(z - 1)**2*(z + 3)**2/5
Let m be ((-2)/3)/(126/(-567)). What is s in -s**2 + 4/3 - 1/3*s**m + 0*s = 0?
-2, 1
Let o(y) = -y**5 - y**3 + y - 1. Let l(x) = -4*x**5 + 6*x**4 - 2*x**3 - 4*x**2 - 8. Let f(k) = -l(k) + 6*o(k). Determine h, given that f(h) = 0.
-1, 1
Let 0*x**2 + 0 - 6/7*x**3 + 0*x + 3/7*x**5 + 3/7*x**4 = 0. What is x?
-2, 0, 1
Let w(n) = -7*n + 114. Let b be w(16). Find z such that 2/5*z**b - 4/5*