*t(d) + 4*w(d). Suppose g(x) = 0. What is x?
-9/7, 1
Let 1/3*v**2 + 1/3*v**4 + 0*v + 0 + 2/3*v**3 = 0. What is v?
-1, 0
Let m be (5 + 3/((-27)/10))*(-2)/(-7). Factor 8/9*j**2 + 2/9*j**3 + m*j + 4/9.
2*(j + 1)**2*(j + 2)/9
Let h be (-28)/(-30)*(-4272)/(-1246). Factor 1/5*u**2 + 64/5 - h*u.
(u - 8)**2/5
Suppose 3*c + 34 = -p, 0 = -2*c + c - 3. Let z(q) = -q - 23. Let i be z(p). Suppose -1/6*n**i - 1/2*n - 1/3 = 0. Calculate n.
-2, -1
Let a(k) be the first derivative of 5*k**4 + 16*k**3 + 42*k**2/5 + 8*k/5 - 233. Solve a(y) = 0.
-2, -1/5
Let z = 509/2982 - 2/497. Let d(x) be the first derivative of z*x**2 + 1/9*x**3 + 0*x - 4. Solve d(t) = 0 for t.
-1, 0
Let o(v) = -150*v - 168. Let w(g) = -g**2 + g - 4. Let n(m) = o(m) - 3*w(m). Factor n(c).
3*(c - 52)*(c + 1)
Let t(v) be the third derivative of 0*v**3 + 1/42*v**4 + 1/105*v**5 + 0 + 0*v - 18*v**2. Factor t(m).
4*m*(m + 1)/7
Suppose 3*v**3 - 293*v - 210*v**2 - 244*v + 108*v - 216 = 0. What is v?
-1, 72
Let y = -2261 + 2266. Let w(p) be the third derivative of -13*p**2 + 0*p**3 + 0*p**4 + 1/120*p**6 + 0*p + 0*p**y + 0. Solve w(j) = 0.
0
Let y be 3 + -5 + 12/3. Suppose 878 - b - 862 + 36*b**y + 53*b = 0. What is b?
-1, -4/9
Let y be (-86)/(-30) - (4/15)/(-2). Factor 14*w**3 - 8 + 2*w**2 + 7*w**3 - 4*w - 27*w**y + 7*w**3.
(w - 2)*(w + 2)**2
Let l be 302/(-2114)*112/(-5). Determine y, given that l*y - 12/5 - 4/5*y**2 = 0.
1, 3
Let g(q) = 6*q**2 - 12*q + 2. Let t be g(2). Factor 0*y**4 + 24*y**t - y**4 + 0*y**4 - 20*y**2 - y**5 + 4*y**3.
-y**2*(y - 2)*(y + 1)*(y + 2)
Suppose -19*o = -17*o - 12. Let -2*b**2 + 2*b**4 - 6*b**5 + 0*b**3 + 4*b**5 + 8*b**3 - o*b**3 = 0. What is b?
-1, 0, 1
Let x(n) be the first derivative of 33/5*n**5 + 243/8*n**4 + 91/2*n**3 + 6*n + 11 + 27*n**2. Solve x(l) = 0 for l.
-2, -1, -1/2, -2/11
Determine d so that 16/3 + 2/3*d**4 - 20/3*d - 1/3*d**5 + 11/3*d**3 - 8/3*d**2 = 0.
-2, 1, 4
Suppose -46 = -3*s - 61, -5*r + s = -20. Let c(u) be the first derivative of 3/5*u**5 - 2 - r*u**2 - 3*u**4 + 5*u**3 + 0*u. Factor c(x).
3*x*(x - 2)*(x - 1)**2
Let i(j) = j**4 - 2*j**2 + j - 1. Let g(m) = 6*m**4 - 9*m**3 - 21*m**2 + 14*m + 5. Let c(z) = 2*g(z) - 10*i(z). Find a such that c(a) = 0.
-1, 1, 10
Let b = 112 + -107. Let a(q) be the second derivative of -5*q + 1/7*q**3 + 2/7*q**2 - 1/42*q**4 - 3/70*q**b - 1/105*q**6 + 0. Solve a(s) = 0 for s.
-2, -1, 1
Let g = 45 - 13. Find u such that g - 31 - 20*u - 21 + 5*u**2 + 5*u**3 = 0.
-2, -1, 2
Let o(l) be the first derivative of 3/2*l**4 + 12*l - 24 - 2*l**3 + 2/5*l**5 - 7*l**2. Factor o(g).
2*(g - 1)**2*(g + 2)*(g + 3)
Let 1/4*z**2 - 2 - 1/2*z = 0. Calculate z.
-2, 4
Let p(r) = -r**3 + 14*r**2 - 14*r + 20. Let n be p(13). What is w in 2*w**3 - 18*w**3 + 8*w**4 + n*w**3 - 4*w**5 + 5*w**3 = 0?
0, 1
Let d(p) = p**2 - 5*p + 5. Let j be d(5). Suppose -t - 3 + j = 0. Determine o so that -50*o**3 + 13*o**2 - 13*o + t + 17*o**2 + 31*o = 0.
-1/5, 1
What is j in -11546 - 17*j - j**5 - 4*j + 6*j**3 - 3*j**4 + 10*j**2 + 11555 = 0?
-3, 1
Let k(m) be the first derivative of 63*m**5/20 - 339*m**4/16 - 5*m**3 + 213*m**2/2 + 60*m - 212. Determine x so that k(x) = 0.
-4/3, -2/7, 2, 5
Let x(r) be the first derivative of 2/3*r**3 + 0*r - 2*r**2 + 18 + 1/2*r**4. What is m in x(m) = 0?
-2, 0, 1
Let t(b) = -2*b**3 + 11*b**2 - 3*b + 56. Let h be t(6). Factor 0 - 1/5*i**h + 3/5*i.
-i*(i - 3)/5
Let q = -19 + 23. Let a be 2/2 + -2 + q. Solve 0*x**a - 2*x + 0*x + 2*x**5 - 4*x**3 + 4*x = 0.
-1, 0, 1
Let w(u) = 50*u - 3. Let d be w(1). Let t = 51 - d. Let -11/3*g**t - 2/3*g + 0 - 5*g**3 - g**5 - 3*g**2 = 0. Calculate g.
-1, -2/3, 0
Let a(l) be the second derivative of 2*l**2 + 2/15*l**6 - 4/5*l**5 + 2*l**4 + 0 - 8/3*l**3 + 11*l. Factor a(f).
4*(f - 1)**4
Let g(q) be the second derivative of q**6/255 - q**5/85 - q**4/34 + 127*q. Factor g(h).
2*h**2*(h - 3)*(h + 1)/17
Suppose 201*g**4 + 0*g**5 + 685*g**3 + 322*g**2 + 9*g**5 + 41*g**2 + 470*g**3 = 0. Calculate g.
-11, -1/3, 0
Let m(r) be the third derivative of r**7/2520 + r**6/144 + 11*r**5/240 + 5*r**4/36 + 2*r**3/9 - 56*r**2 + 2. Solve m(l) = 0.
-4, -1
Let h(b) = -14*b**2 + 10*b + 4. Let u(c) = 50*c - 45*c + 0 + 2 - 4*c**2 - 3*c**2. Let v(x) = -3*h(x) + 5*u(x). Let v(r) = 0. Calculate r.
-2/7, 1
Let q be (3*(-2)/(-12))/((-550)/(-220)). Let g(w) be the first derivative of 3/10*w**2 - q*w**3 + 0*w + 11. Suppose g(z) = 0. What is z?
0, 1
Suppose 4*a + 12 = 0, 4*g - 14 = 6*a - 4*a. Solve 3*b**g - 3*b - 2*b + 4*b + 3*b + b**3 = 0 for b.
-2, -1, 0
Let v(i) = -i**2 - i. Let x(m) = 3*m**2 - 2*m**2 - 17*m**2 - 40*m - 37 + 13. Let o(p) = 12*v(p) - x(p). Let o(d) = 0. What is d?
-6, -1
Let j(y) = 31*y - 74 + 0*y**2 - 5*y**2 + 2*y**2 + y**2. Let u(f) = f**2 + f + 1. Let c(x) = j(x) - u(x). Find b such that c(b) = 0.
5
Let z(b) = -10*b**3 + 10. Let k(h) = 9*h**3 + h**2 - h - 9. Let m(t) = -6*t**3 + t. Let a be m(-1). Let q(o) = a*k(o) + 4*z(o). Find d such that q(d) = 0.
-1, 1
Determine q, given that 0 + 0*q**2 - 96/5*q - 3/5*q**4 + 18/5*q**3 = 0.
-2, 0, 4
Factor -47*h**2 + 94*h**2 + 24*h + 20 - 43*h**2.
4*(h + 1)*(h + 5)
Let b(d) = 5*d - 3. Let l be b(1). Factor -g + 3*g**l + g**2 + 9*g - 12.
4*(g - 1)*(g + 3)
Let v(u) be the third derivative of u**8/5040 + u**7/630 - u**6/360 - u**5/20 + 7*u**3/6 - 6*u**2. Let h(l) be the first derivative of v(l). Factor h(o).
o*(o - 2)*(o + 3)**2/3
Let v(y) be the second derivative of y**6/18 + 13*y**5/60 - y**4/6 - 75*y. Solve v(m) = 0.
-3, 0, 2/5
Let b(p) be the third derivative of -p**7/70 - p**6/4 - 6*p**5/5 - 11*p**4/4 - 7*p**3/2 + 228*p**2. Factor b(i).
-3*(i + 1)**3*(i + 7)
Let s(m) be the second derivative of 1/80*m**5 - 1/24*m**4 + 0*m**2 + 0 + 7*m + 1/24*m**3. Factor s(u).
u*(u - 1)**2/4
Let n(a) = -6*a**3 - 33*a**2 + 87*a + 117. Let i(v) = v**3. Let f(b) = 3*i(b) + n(b). Determine r, given that f(r) = 0.
-13, -1, 3
Let m(x) be the third derivative of -x**7/1575 + 41*x**6/900 + 43*x**5/450 - 41*x**4/180 - 14*x**3/15 + 2*x**2 - 85*x. Let m(o) = 0. Calculate o.
-1, 1, 42
Factor 10*r**2 + 429 - 16*r**2 + 10*r**2 + 96*r + 147.
4*(r + 12)**2
Let x be 21/36 + (42/12 - (-30)/(-8)). Factor 2/3 - 2/3*s**2 + x*s - 1/3*s**3.
-(s - 1)*(s + 1)*(s + 2)/3
Let -2*i**3 + 0 + 0*i + 0*i**2 - 4/3*i**4 + 2/3*i**5 = 0. What is i?
-1, 0, 3
Let x(h) be the third derivative of -h**5/480 + 3*h**4/32 - 2*h**3/3 - h**2 + 36*h. Suppose x(w) = 0. What is w?
2, 16
Let k = -152 - -203. Let x be 1 - (k/(-15) + -1). Factor 0 + 6/5*u**2 - x*u**3 + 0*u.
-3*u**2*(9*u - 2)/5
Let d(a) = a**3 + 3*a**2 - a - 1. Suppose 7 - 1 = -3*q. Let s be d(q). Solve -2/3*f**4 + 0 - 2*f**3 + 2/3*f**2 + 2*f**s + 0*f = 0.
-1, 0, 1/3, 1
Suppose -44*i + 49*i = 10. Let 8/15*f**4 - 14/15*f**i + 0 + 4/15*f - 2/3*f**3 = 0. What is f?
-1, 0, 1/4, 2
Let n be (-292)/(-104) - (-4 - (-39)/6). What is u in -n*u**2 + 8/13*u**3 - 4/13*u - 4/13*u**5 + 2/13*u**4 + 2/13 = 0?
-1, 1/2, 1
Let q(v) be the second derivative of v**5/6 + 8*v**4/27 + 4*v**3/27 - 10*v - 6. What is s in q(s) = 0?
-2/3, -2/5, 0
Let i(d) be the first derivative of 0*d + 0*d**2 + 24/5*d**5 - 1/2*d**6 + 0*d**3 + 7 - 12*d**4. Factor i(m).
-3*m**3*(m - 4)**2
Let c be 2*(11 + 150/(-14)). Determine u so that 6*u**3 - 22/7*u**2 + c*u - 34/7*u**4 + 0 + 10/7*u**5 = 0.
0, 2/5, 1
Let h(s) be the second derivative of s**4/90 + 76*s**3/45 + 5*s**2 - 301*s. Suppose h(f) = 0. Calculate f.
-75, -1
Let q be 62/144 - 29/522. Solve -q*c**2 + 6*c - 24 = 0 for c.
8
Let o(k) = k**4 + 61*k**3 + 5*k**2 - 73*k. Let p(i) = -10*i**4 - 675*i**3 - 55*i**2 + 805*i. Let u(c) = 65*o(c) + 6*p(c). Find g such that u(g) = 0.
-1, 0, 1, 17
Let q(k) be the second derivative of k**8/84 - 2*k**7/35 + 4*k**5/15 - 17*k**2/2 - 9*k. Let a(g) be the first derivative of q(g). Factor a(t).
4*t**2*(t - 2)**2*(t + 1)
Let s(r) be the second derivative of -r**5/5 + 22*r**4/3 + 2*r**3/3 - 44*r**2 + 90*r. Factor s(o).
-4*(o - 22)*(o - 1)*(o + 1)
Let k be (2/(-9))/(9*35/(-189)). Solve -k*h**2 + 16/15*h - 32/15 = 0 for h.
4
Let t = -49 + 49. Let o(f) be the second derivative of 0*f**2 - 1/54*f**4 + t - 2*f + 1/90*f**5 + 0*f**3. Determine h, given that o(h) = 0.
0, 1
Let q(i) = i - 1. Let p be q(4). Let c be p/(9/(-6)) + 6. Factor -3*j**2 + 5*j**2 - c*j - j**2 + 3.
(j - 3)*(j - 1)
Let z(y) be the third derivative of y**8/7 + 2*y**7/15 - 3*y*