 o be (-2)/(-6)*((-8)/6 + 4). Suppose -32/9*k + 26/9*k**2 + o + 10/9*k**5 - 34/9*k**4 + 22/9*k**3 = 0. Calculate k.
-1, 2/5, 1, 2
Let j(n) be the first derivative of 81*n**5/50 + 69*n**4/10 - 104*n**3/15 + 12*n**2/5 - 32*n + 43. Let u(w) be the first derivative of j(w). Factor u(m).
2*(m + 3)*(9*m - 2)**2/5
Let m be (-78)/91*(-56)/12. Let q(l) be the third derivative of 0 + 0*l + 1/20*l**5 - 3/8*l**m + 0*l**3 + 5*l**2. Find o, given that q(o) = 0.
0, 3
Factor -2/7*n + 2/7*n**2 - 4/7.
2*(n - 2)*(n + 1)/7
Solve 2*q**2 - 16*q**3 + 449*q - 433*q - 4 + 2 = 0 for q.
-1, 1/8, 1
Let t be 108/9 + 0 + -4 + -2. Let q(i) be the second derivative of -1/12*i**5 + t*i + 1/36*i**4 + 0*i**2 + 0 + 1/18*i**3 + 1/30*i**6. Factor q(v).
v*(v - 1)**2*(3*v + 1)/3
Let a be (0/(34/(-272) - (-15)/(-8)))/(-2). Suppose -2/5*g**2 + a + 18/5*g = 0. What is g?
0, 9
Let h(a) be the second derivative of -3*a**7/49 + 13*a**6/35 - 67*a**5/70 + 19*a**4/14 - 8*a**3/7 + 4*a**2/7 - 351*a. Factor h(f).
-2*(f - 1)**3*(3*f - 2)**2/7
Let h(v) be the second derivative of -15*v**5/4 - 95*v**4/4 - 32*v**3 - 18*v**2 - 6*v - 6. Factor h(d).
-3*(d + 3)*(5*d + 2)**2
Let k(i) be the second derivative of i**4/144 - i**3/6 - 13*i**2/24 - 257*i. Factor k(t).
(t - 13)*(t + 1)/12
Let t be 0/(9 + -6 - 2). Let u(a) be the first derivative of -2/35*a**5 - 1 + 0*a + 0*a**2 + t*a**3 - 1/7*a**4. Determine w, given that u(w) = 0.
-2, 0
Let n(i) be the second derivative of 0 + 9/10*i**2 - 2/5*i**3 - 13*i - 1/10*i**4 - 1/50*i**6 + 3/25*i**5. What is d in n(d) = 0?
-1, 1, 3
Let n(l) = 24*l + 866. Let u be n(-36). Let z = -187/4 - -47. Determine m, given that -3/2*m**3 + 3*m**u + 0 - 2*m + z*m**4 = 0.
0, 2
Let t(y) be the third derivative of -9*y**2 - 5/32*y**4 - 3/40*y**5 + 0*y - 3/160*y**6 - 3/16*y**3 - 1/560*y**7 + 0. Find j such that t(j) = 0.
-3, -1
Let c = -106 + 112. Let z(h) be the third derivative of 0*h**3 - 1/30*h**4 - 7/300*h**c - h**2 + 0 + 0*h + 3/50*h**5. Let z(n) = 0. What is n?
0, 2/7, 1
Solve -12 + 53*i - 69/2*i**2 + 11/2*i**3 = 0 for i.
3/11, 2, 4
Let r = -2 + 5. Let m = r - -5. Suppose m*n**2 - 7 - 11*n**2 - 12*n - 2 = 0. Calculate n.
-3, -1
Suppose 29 = -5*v + 2*r + 23, 0 = 5*r - 15. Let d(l) be the first derivative of 0*l + v*l**3 - 1 + 1/22*l**4 + 0*l**2. What is o in d(o) = 0?
0
Let c(v) = -v**5 - v**4 - v**3 + v**2 - 2*v. Let d(w) = 7*w**5 + 82*w**4 + 427*w**3 + 748*w**2 - 176*w - 1080. Let k(i) = -2*c(i) - d(i). Solve k(s) = 0 for s.
-6, -3, -2, 1
Factor 5618/11 + 2/11*m**2 + 212/11*m.
2*(m + 53)**2/11
Let v(n) = 0 + 0 + 2*n**2 - 4*n**2 + 4*n. Let j(y) = -y. Suppose 5*d = -2*s + 3, -2*d + 2*s = -0*s + 10. Let b(f) = d*v(f) - 6*j(f). Let b(r) = 0. Calculate r.
-1, 0
Suppose 4 = -68*y + 140. Let d(q) be the first derivative of -12/35*q**5 + 0*q + 9/14*q**4 + 1/14*q**6 - 4/7*q**3 + 9 + 3/14*q**y. Let d(u) = 0. What is u?
0, 1
Let c(h) be the third derivative of h**5/135 - 5*h**4/18 + 15*h**2 - 3. Find a such that c(a) = 0.
0, 15
Let b(w) be the second derivative of 7/6*w**3 - 1/24*w**4 - 49/4*w**2 + 12*w + 0. Factor b(n).
-(n - 7)**2/2
Let k(g) be the second derivative of 3*g**2 + 7*g + 1/2*g**4 + 0 + 5/2*g**3 - 1/14*g**7 - 3/5*g**5 - 2/5*g**6. Find f, given that k(f) = 0.
-2, -1, 1
Let g be 2/6 - (-10)/(-48). Let j(p) be the first derivative of g*p**2 + 0*p**3 - 1 + 0*p - 1/16*p**4. Factor j(t).
-t*(t - 1)*(t + 1)/4
Let s be (-1 - 13) + (-17400)/(-1218). What is k in 0*k - s*k**3 + 6/7*k**2 - 8/7 = 0?
-1, 2
Let j = -256 + 256. Let o(f) be the third derivative of 2*f**2 + 0*f**3 + j*f + 1/96*f**4 - 1/240*f**5 + 0. Factor o(c).
-c*(c - 1)/4
Let t(m) be the third derivative of m**5/20 - 5*m**4 - 41*m**3/2 + 120*m**2. Factor t(a).
3*(a - 41)*(a + 1)
Determine h so that 206/13*h**2 + 0 + 2/13*h**3 + 204/13*h = 0.
-102, -1, 0
Let z(t) be the first derivative of -t**5/15 - t**4/4 + 7*t**3/9 + 5*t**2/2 - 6*t + 125. Factor z(q).
-(q - 2)*(q - 1)*(q + 3)**2/3
Let f(w) = 16*w**2 - 17*w - 12. Let d(l) = 8*l**2 - 8*l - 6. Let h(j) = 13*d(j) - 6*f(j). Solve h(o) = 0 for o.
-3/4, 1
Let q(u) = -124*u**3 - 2608*u**2 - 1484*u + 1000. Let m(p) = -25*p**3 - 522*p**2 - 297*p + 200. Let d(n) = -24*m(n) + 5*q(n). Find x, given that d(x) = 0.
-25, -1, 2/5
Let o be 1*4/(-4)*-334. Let -336*z**4 + 0*z**2 + 2*z**2 + o*z**4 = 0. What is z?
-1, 0, 1
What is k in 20/3 - 106/3*k + 46*k**2 - 38/3*k**3 - 14/3*k**4 = 0?
-5, 2/7, 1
Let p(w) = 2*w**2 + 2*w - 6. Let f(i) = -3*i**2 - 5*i + 12. Let r(c) = -3*f(c) - 5*p(c). Let r(h) = 0. Calculate h.
2, 3
Let s(b) be the second derivative of 0*b**3 - 5 + 8/21*b**4 - 2/147*b**7 - 2*b - 2/35*b**6 + 0*b**2 + 6/35*b**5. Determine o, given that s(o) = 0.
-4, -1, 0, 2
Let v(n) be the second derivative of n**6/105 - n**5/14 + n**4/7 - 95*n. Determine r, given that v(r) = 0.
0, 2, 3
Let r = 14368/16779 - -2/2397. Factor 3/7*o**2 - r*o + 0 + 3/7*o**3.
3*o*(o - 1)*(o + 2)/7
Suppose -4*s + 6*s = 6. Suppose 14*g**3 + 6*g**2 + 12*g**3 - 48*g**s + 19*g**3 = 0. What is g?
0, 2
Let z(t) be the third derivative of 0 + 0*t**4 - 2/105*t**7 + 0*t - t**2 + 0*t**3 - 1/15*t**6 + 0*t**5. Determine i, given that z(i) = 0.
-2, 0
Let -2*l**5 + 7*l**5 - 80*l**4 - 7035*l + 7035*l = 0. Calculate l.
0, 16
Let i(f) = 79*f - 79*f + 0*f**2 + f**2. Let x(n) be the third derivative of 4*n**5/15 - n**4 + 6*n**3 - 2*n**2. Let k(l) = 12*i(l) - x(l). Factor k(g).
-4*(g - 3)**2
Let x = 2413 - 12053/5. Let m be (6/30)/((-3)/(-12)). Suppose -m*s**3 - 16/5*s**2 - 2/5 + 18/5*s**4 + x*s - 8/5*s**5 = 0. Calculate s.
-1, 1/4, 1
Let b(a) = 11*a + 96. Let g be b(-24). Let h = g + 172. Factor -2/3*s + 2/9*s**5 + 2/9 + 4/9*s**3 + 4/9*s**2 - 2/3*s**h.
2*(s - 1)**4*(s + 1)/9
Let x(t) be the first derivative of -t**5/20 + t**4/2 - 2*t**3 - 17*t**2/2 - 19. Let z(o) be the second derivative of x(o). Factor z(l).
-3*(l - 2)**2
Let p(g) be the third derivative of -g**5/15 + 5*g**4/6 + 100*g**3/3 + g**2 - 25. Factor p(r).
-4*(r - 10)*(r + 5)
Find v, given that -116/5 - 347/5*v + 3/5*v**2 = 0.
-1/3, 116
Find k, given that 4*k**3 - 9*k**3 - 11*k - 6 + 5*k**3 + k**3 - 4*k**2 = 0.
-1, 6
Let r(m) be the third derivative of -m**6/40 + 13*m**5/40 - 27*m**4/16 + 9*m**3/2 - 2*m**2 + 109. Suppose r(n) = 0. Calculate n.
3/2, 2, 3
Let q(w) = 4*w**4 - 4*w**3 - 6*w**2 - 14*w - 4. Let d(p) = -11*p**4 + 11*p**3 + 19*p**2 + 41*p + 12. Let h = -81 + 78. Let l(t) = h*d(t) - 8*q(t). Factor l(c).
(c - 4)*(c + 1)**3
Let 64/7 + 8/7*l**3 - 194/7*l - 250/7*l**2 = 0. Calculate l.
-1, 1/4, 32
Let u = -4410 - -4410. What is k in 0*k + 0*k**2 + 10/19*k**4 + 4/19*k**3 - 14/19*k**5 + u = 0?
-2/7, 0, 1
Let d(n) = -n**3 + 4*n**2 + 8*n + 2. Let a be d(-3). Let y = a - 39. Let -12/7*r + 2/7*r**y + 18/7 = 0. Calculate r.
3
Let t(g) = -g**3 - 4*g**2 + 5*g + 2. Let x be t(-5). Let f be (((-1309)/(-21))/11 - 6)*-13. Factor 4/3*c**3 - 1 + f*c - 16/3*c**x.
(c - 3)*(2*c - 1)**2/3
Let q(k) = 3*k**4 + 12*k**3 + 3*k**2 - 3*k + 3. Let o(g) = 6*g**4 + 23*g**3 + 7*g**2 - 5*g + 5. Let t(y) = 3*o(y) - 5*q(y). Suppose t(n) = 0. What is n?
-2, -1, 0
Let j(h) = h + 1 - 5 - 1. Let v be j(7). Suppose 5*f**4 - 9*f**2 - 12*f**3 - 4*f + v*f + 11*f**2 + 7*f**2 = 0. What is f?
0, 2/5, 1
Let t(v) be the first derivative of 1/3*v**3 + 37 + 2*v**2 + 4*v. Factor t(k).
(k + 2)**2
Solve -488601/2*u**2 - 3/4*u**4 + 699*u**3 + 37948011*u - 8841886563/4 = 0 for u.
233
Let l(f) be the first derivative of -f**4/96 - f**3/16 - f**2/8 + 19*f - 24. Let h(p) be the first derivative of l(p). Solve h(y) = 0 for y.
-2, -1
Let t(g) = 15*g**2 + 5*g - 225. Let b(n) = -2*n**2 + 3. Let r(z) = -5*b(z) - t(z). Factor r(o).
-5*(o - 6)*(o + 7)
Let c(j) be the first derivative of -j**8/4480 + 3*j**7/1120 - 3*j**6/320 + j**5/80 + 13*j**3/3 + 14. Let y(v) be the third derivative of c(v). Factor y(m).
-3*m*(m - 4)*(m - 1)**2/8
Let x(r) = -8*r**3 + 10*r**2 - 18*r - 10. Let j(v) = v**3 - v**2 + v + 1. Let p(b) = -10*j(b) - x(b). Solve p(u) = 0.
-2, 0, 2
Let k be (-14)/(-105)*-5 + (-34)/(-3). Solve -k + 4/3*l**4 + 16/3*l - 20/3*l**3 + 8*l**2 = 0 for l.
-1, 2
Let a(x) be the first derivative of 1 - 1/5*x**5 + 0*x**4 + 0*x + 1/3*x**3 + 0*x**2. Factor a(q).
-q**2*(q - 1)*(q + 1)
Let j = -1136 + 1139. Let u(c) be the first derivative of -8 - 1/8*c**4 + 2/3*c**j + c - 5/4*c**2. Factor u(b).
-(b - 2)*(b - 1)**2/2
Let v(m) be the