d(n) be the first derivative of 5*n**6/6 - 6*n**5 + 15*n**4 - 50*n**3/3 + 15*n**2/2 + 57. What is f in d(f) = 0?
0, 1, 3
Factor 2/11*k**2 + 0 + 30/11*k.
2*k*(k + 15)/11
Let c(g) be the third derivative of -g**6/180 - 11*g**5/270 - g**4/9 - 4*g**3/27 + 41*g**2 + 2. Factor c(h).
-2*(h + 1)*(h + 2)*(3*h + 2)/9
Let k(w) = -5*w**2 + 13*w - 13. Let o(v) = -2*v**2 + 7*v - 7. Let m(p) = -4*k(p) + 7*o(p). Let s(u) = 7*u**2 - 4*u + 4. Let a(q) = 4*m(q) - 3*s(q). Factor a(i).
3*i**2
What is z in 600 - 3/8*z**3 - 630*z + 243/8*z**2 = 0?
1, 40
Solve 9/2 - 3*w + 1/2*w**2 = 0.
3
Let x = -2719 + 2719. What is h in 3/2*h**3 - 3/2*h + 0*h**2 + x = 0?
-1, 0, 1
Let o(i) be the second derivative of 4*i**7/21 + 77*i**6/15 + 339*i**5/10 - 160*i**4/3 - 100*i**3/3 - 8*i - 3. Find b such that o(b) = 0.
-10, -1/4, 0, 1
Let c(h) be the third derivative of h**6/240 - h**5/30 - 11*h**4/48 - h**3/2 - 9*h**2 + h. What is l in c(l) = 0?
-1, 6
Determine j, given that -33/5*j**3 + 33/5*j - 3/5*j**4 + 54/5 - 51/5*j**2 = 0.
-9, -2, -1, 1
Suppose -6*p = -3*a - 6, p = -0*p - 4*a + 19. Factor i**2 - 1/2*i - 1/2 + i**p - 1/2*i**4 - 1/2*i**5.
-(i - 1)**2*(i + 1)**3/2
Let v be -2 + -1 + 1 + -8. Let b be ((-12)/v)/(9/30). Factor -6*t**b - 5*t**3 + 3*t**5 + t**3 - 2*t**4 + 8*t**2 + t**5.
4*t**2*(t - 2)*(t - 1)*(t + 1)
Let d(k) = k**2 + 7*k + 2. Let s be d(-14). Let 12*c**3 + 13 + 63*c**3 - s*c + 27 - 45*c**5 - 10*c**2 - 30*c**4 + 70*c**3 = 0. What is c?
-2, -1, 2/3, 1
Let p(n) be the second derivative of n**6/30 + 19*n**5/20 + 19*n**4/2 + 112*n**3/3 + 64*n**2 - 97*n. Solve p(i) = 0.
-8, -2, -1
Let f be (-3 - 51/(-21))/(-1). Let a(d) be the first derivative of -2 - 2/21*d**3 + 1/7*d**2 + f*d. Find j, given that a(j) = 0.
-1, 2
Find v, given that -v**4 + 3*v**3 - 5*v**3 - 1643*v**2 + 1642*v**2 = 0.
-1, 0
Let l(i) be the first derivative of -i**4/18 + 2*i**3 - 27*i**2 - 42*i - 4. Let o(c) be the first derivative of l(c). Suppose o(r) = 0. Calculate r.
9
Let a(n) = n**4 - n**3 - 4*n**2 + 2*n - 2. Let f(s) = -s**2 + s - 1. Let m(r) = -3*a(r) + 6*f(r). Factor m(u).
-3*u**2*(u - 2)*(u + 1)
Let g(p) = -p**4 - 5*p**2 - 3*p - 3. Let f be (28/(-70))/((-1)/(-5)). Let v(l) = -l**4 - l**3 - 4*l**2 - 2*l - 2. Let h(c) = f*g(c) + 3*v(c). Factor h(w).
-w**2*(w + 1)*(w + 2)
Let v(h) be the third derivative of h**5/20 + h**4/2 - 36*h**2. Determine a so that v(a) = 0.
-4, 0
Solve -4*b**2 + 0 + 0*b + 4/3*b**3 = 0.
0, 3
Suppose -2*y - 4*y + 330 = 0. What is d in -31*d**4 + y*d**4 - 2*d - 8*d - 20*d**3 - 29*d**4 - 25*d**2 = 0?
-2, -1, 0
Let v(b) = 2*b**3 - 14*b**2 - 6*b + 5. Let g(d) = 3*d**3 - 21*d**2 - 10*d + 7. Let u(z) = -5*g(z) + 7*v(z). Let u(t) = 0. Calculate t.
-1, 0, 8
Let i = 5 - 3. Suppose 4*z + 4*s = -s + 22, 2 = s. Solve 2*t - 4/3 - 14/3*t**5 - 8*t**4 + 8/3*t**z + 28/3*t**i = 0 for t.
-1, 2/7, 1
Let b(f) = f - 2. Let h be b(2). Let d = 198 - 168. Let h*z**4 - 5*z**4 + 56*z**3 - d*z + 4 - 36*z**5 + 10*z - 7*z**4 + 8*z**2 = 0. Calculate z.
-1, 1/3, 1
Let o(u) be the third derivative of 5/33*u**3 + 38*u**2 + 0*u + 1/330*u**5 + 0 + 1/22*u**4. Factor o(q).
2*(q + 1)*(q + 5)/11
Suppose 21*t + 41*t = -197*t. Solve 2/7*c**2 + 0*c - 2/7*c**4 + t*c**3 + 0 = 0.
-1, 0, 1
Let f = -767 - -767. Solve k**2 - 15/4*k**5 - 1/4*k**4 + 3*k**3 + f*k + 0 = 0 for k.
-2/3, -2/5, 0, 1
Factor -4/5 - 1/5*x**3 - 8/5*x - x**2.
-(x + 1)*(x + 2)**2/5
Let s(n) = -n**2 + 2*n + 2. Let t be 48/26 - (-4)/26. Let u be s(t). Suppose 9*o**2 + 3 - 6*o**3 + 9*o + u*o**3 + 7*o**3 = 0. Calculate o.
-1
Let j(f) be the second derivative of -5*f**4/12 + 55*f**3/6 - 70*f**2 - 237*f. Factor j(p).
-5*(p - 7)*(p - 4)
Let 1872*k + 3*k**5 + 1730*k**2 - 66*k**4 + 1011*k**3 - 573*k**3 - k**5 + 648 = 0. Calculate k.
-1, 18
Let v(g) be the first derivative of 0*g - 44 - 1/8*g**3 + 3/8*g**2. Factor v(y).
-3*y*(y - 2)/8
Let s be 7*(-55)/(-70) + 25/(-5). Determine h so that -1/2*h - s*h**2 + 0 = 0.
-1, 0
Let i be 3/(18/244) - (-8)/24. Solve 6760 - 6776 - i*s**2 + 40*s + 10*s**3 + 8*s**2 - s**4 = 0.
1, 4
Let m = 517 + -513. Let j(u) be the second derivative of 3*u - 1/26*u**5 + 0*u**3 + 0*u**2 + 1/39*u**m - 1/273*u**7 + 4/195*u**6 + 0. Factor j(i).
-2*i**2*(i - 2)*(i - 1)**2/13
Let x(p) be the third derivative of p**5/20 + 2*p**3 + 2*p**2. Let i(n) be the first derivative of -n**2/2 + 8. Let g(d) = 12*i(d) - x(d). Factor g(s).
-3*(s + 2)**2
Let c(t) be the first derivative of 14*t + 8 + 1/2*t**4 + 6*t**3 + 15*t**2. Determine i, given that c(i) = 0.
-7, -1
Let x(h) = 65*h**2 - 6*h - 66*h**2 - 1 - 2. Let t be x(-5). Let -3*p**3 + 8*p**4 - p**2 + p**t - 11*p**4 + 3*p**2 + 3*p = 0. What is p?
-1, 0, 1
Let j(w) be the second derivative of -1/20*w**4 + 0 + 3/2*w**2 - 2/5*w**3 - 32*w. Suppose j(k) = 0. Calculate k.
-5, 1
Let y(f) = f**3 + 7*f**2 - 8*f + 7. Let b be y(-8). Let c(d) = 2*d**2 - 2*d - 7. Let h(a) = -a**2 + a + 5. Let m(w) = b*h(w) + 5*c(w). Factor m(p).
3*p*(p - 1)
Let g be (4 - 3 - -2) + -13. Let k be g/(-3)*(-48)/(-32). Factor -3*a + 2*a**2 - 2*a**2 + k*a + a**2 + 1.
(a + 1)**2
Let h(g) = 3*g**2 + 5*g + 5. Let u be h(-3). Factor 3*i - 4*i**2 - 8 - u*i - 7*i**3 + 10*i**3 - i**3.
2*(i - 4)*(i + 1)**2
Suppose 43 + 139 = 57*m + 11. Factor 5/3*g**m + 4/3*g - 1/3*g**4 - 8/3*g**2 + 0.
-g*(g - 2)**2*(g - 1)/3
Let u be (-9)/(-12)*(6 - 20/10). Let m(w) be the second derivative of 0 + w - 1/15*w**u - 1/10*w**2 - 1/60*w**4. Factor m(f).
-(f + 1)**2/5
Let o = 306 + -304. Let c(v) be the first derivative of 4/21*v**3 - o + 0*v**2 + 2/35*v**5 - 3/14*v**4 + 0*v. Find g, given that c(g) = 0.
0, 1, 2
Let f = 30 - 50. Let c = 26 + f. Let 9*s**4 + c*s**3 + 2*s**3 - 5*s**4 + s + 5*s**2 = 0. What is s?
-1, -1/2, 0
Let n(m) be the first derivative of 3 + 16*m**3 + m**4 + 101*m + 155*m + 105*m**2 - 4 - 9*m**2. Suppose n(i) = 0. Calculate i.
-4
Let y(j) be the first derivative of 5*j**6/12 + j**5/2 - 25*j**4/8 - 25*j**3/6 + 5*j**2 + 10*j - 95. Suppose y(t) = 0. What is t?
-2, -1, 1, 2
Suppose -15*g + 5*c = -11*g - 28, -c = 4*g - 4. What is x in 3/2*x**2 - 2*x - g - 1/2*x**4 + x**3 = 0?
-1, 2
Let s = -245 + 249. Let v(h) be the second derivative of -7/6*h**s + 0 - 4*h**3 + 4*h**2 + 5*h. What is d in v(d) = 0?
-2, 2/7
Let c(x) be the first derivative of 5*x**4/4 - 5*x**3/3 - 4. Let z(s) = -5*s**3 + 5*s**2. Let y(v) = -3*c(v) - 2*z(v). What is f in y(f) = 0?
0, 1
Let l(r) be the first derivative of -8*r**3/15 - 27*r**2/5 + 14*r/5 - 51. Find a, given that l(a) = 0.
-7, 1/4
Let d be -2 - (0 + 44/(-20)). Let j = d - -2/15. Solve 0*v**2 + 0 + 1/3*v**5 + 0*v + 0*v**4 - j*v**3 = 0 for v.
-1, 0, 1
Let t(r) = -r**3 - 19*r**2 - r - 9. Let w be t(-19). Let f = 13 - w. Factor 154/5*j**f + 64/5*j**2 + 98/5*j**4 + 8/5*j + 0.
2*j*(j + 1)*(7*j + 2)**2/5
Let d(b) be the first derivative of 2*b**5/15 + b**4/3 - 30. Determine j, given that d(j) = 0.
-2, 0
Let s(p) be the second derivative of -2*p**6/15 - 4*p**5/5 + 5*p**4/3 + 24*p**3 + 72*p**2 + p - 146. Find h, given that s(h) = 0.
-3, -2, 3
Let l = -118 + 349/3. Let y = -1 - l. Factor -y*i**2 + 0 + 0*i.
-2*i**2/3
Let k(g) be the second derivative of 1/36*g**4 + 0*g**2 + 0*g**3 + 1/126*g**7 + 0 - 1/60*g**5 + 4*g - 1/90*g**6. Determine v, given that k(v) = 0.
-1, 0, 1
Let w(k) be the second derivative of k**7/630 - k**6/360 - k**5/60 + k**4/72 + k**3/9 - k**2 - k. Let t(m) be the first derivative of w(m). Factor t(g).
(g - 2)*(g - 1)*(g + 1)**2/3
Let z(p) = -3*p**3 - 9*p**2 - 81*p - 243. Let d be z(-3). Suppose d + 10/3*k**3 - 14/3*k**2 + 4/3*k = 0. Calculate k.
0, 2/5, 1
Let d(h) be the second derivative of 7*h**5/20 + 5*h**4/2 + 29*h**3/6 + 3*h**2 - 12*h. Factor d(x).
(x + 1)*(x + 3)*(7*x + 2)
Let x(n) = -n**2 - 153*n + 471. Let y be x(3). Factor -4/3*l**4 - 44/3*l**2 + 0 + 16*l**y + 0*l.
-4*l**2*(l - 11)*(l - 1)/3
Let z = -16 - -23. Let h(u) = -u**2 + 5*u + 17. Let i be h(z). Solve 10*j**4 - 2 - 8*j**i + 0*j + 12*j**4 - 12*j**2 - 24*j**4 - 8*j = 0 for j.
-1
Let f(s) be the second derivative of 8/63*s**3 + 1/210*s**5 + 16/21*s**2 + 0 + 9*s - 1/18*s**4. What is y in f(y) = 0?
-1, 4
Let a(k) be the second derivative of k**7/42 + k**6/15 - k**5/4 - 5*k**4/6 + 2*k**3/3 + 4*k**2 - 310*k. Solve a(g) = 0 for g.
-2, -1, 1, 2
Let q be 6/(-4)*1 - (-1)/2. Let c(h) = -6*h**3 - 8*h**2 + 6*h + 8. Let j(z) = -z**3 - z**2 - z - 1. Let a(k) = q*c(k) + 4*