0*u**3 + 0*u - 11/80*u**6 + 4/35*u**7. Let t(x) = 0. Calculate x.
0, 2/7, 1
Factor -201*k**3 - 3*k**5 + 483*k**2 - 51*k**4 + 2352*k - 1012 + 236 - 3340.
-3*(k - 2)**2*(k + 7)**3
Let b be (184/(-40) + 4)/((-2)/4). Factor 4/5*r**3 - 8/5*r - 2/5*r**4 - 8/5 + b*r**2.
-2*(r - 2)**2*(r + 1)**2/5
Let r(x) be the third derivative of 1/180*x**6 + 0*x**7 + 1/135*x**5 + 0*x**4 - 1/1512*x**8 + 0*x + 0*x**3 + 18*x**2 + 0. Factor r(t).
-2*t**2*(t - 2)*(t + 1)**2/9
Suppose -20*m - 5*l + 3 = -19*m, -4*m - 3*l = -12. Factor -16/5 + 56/5*q - 14/5*q**m + 4/5*q**2.
-2*(q - 2)*(q + 2)*(7*q - 2)/5
Let h(m) be the first derivative of m**4/20 + 2*m**3/3 + 23*m**2/10 + 14*m/5 - 238. Factor h(s).
(s + 1)*(s + 2)*(s + 7)/5
Let f(r) be the first derivative of 0*r**3 - 8/5*r**2 + 9 + 16/5*r - 1/25*r**5 + 1/5*r**4. Factor f(y).
-(y - 2)**3*(y + 2)/5
Let x(m) be the second derivative of -m**4/12 - m**3 - 5*m**2/2 + 17*m. Factor x(d).
-(d + 1)*(d + 5)
Let w(u) = -75*u**2 - 165*u - 20. Let k(p) = -p. Let t(s) = -5*k(s) + w(s). Factor t(y).
-5*(y + 2)*(15*y + 2)
Let v(k) be the third derivative of 3*k**2 + 0*k + 0*k**3 + 0 - 7/330*k**5 - 1/66*k**4 - 1/220*k**6. Solve v(a) = 0 for a.
-2, -1/3, 0
Suppose 3*v + 9*w + 294 = 6*w, 3*v - w + 290 = 0. Let n = v + 875/9. Suppose 1/3*c - n*c**3 - 1/9 + 1/3*c**4 - 2/9*c**2 - 1/9*c**5 = 0. Calculate c.
-1, 1
Factor 0*p + 3/5 - 3/5*p**2.
-3*(p - 1)*(p + 1)/5
Let a(m) be the second derivative of m**9/15120 + m**8/840 + 2*m**7/315 + 7*m**4/3 - m. Let q(i) be the third derivative of a(i). Let q(k) = 0. Calculate k.
-4, 0
Let u(d) be the first derivative of 1/3*d - 6 - 1/12*d**2 - 1/18*d**3. Factor u(a).
-(a - 1)*(a + 2)/6
Let h = -79/204 + 8/17. Let n(i) be the first derivative of 0*i**3 + 1/2*i**2 + 2/3*i + 4 - h*i**4. Solve n(s) = 0 for s.
-1, 2
Let m = 145 + -145. Let r(f) be the second derivative of 0*f**3 + 0 + 1/60*f**4 + 2*f + m*f**2. Suppose r(t) = 0. Calculate t.
0
Factor -19*a + 29*a**2 - 28*a**2 + a - 58 - 9*a.
(a - 29)*(a + 2)
Let h(a) be the second derivative of -7*a + 0*a**2 + 1/108*a**4 + 1/45*a**5 + 0 + 0*a**3 - 1/270*a**6 - 2/189*a**7. Let h(r) = 0. Calculate r.
-1, -1/4, 0, 1
Let a(v) be the second derivative of -v**6/10 + 3*v**5/5 - 5*v**4/4 + v**3 - 2*v - 65. Solve a(k) = 0 for k.
0, 1, 2
Let 1/6*q**4 + 7/6*q**3 + 0 + 4/3*q + 7/3*q**2 = 0. Calculate q.
-4, -2, -1, 0
Suppose 3*o = -15, 3*g + o - 2*o = 14. Let m(n) be the first derivative of 1/2*n**g + 0*n - 4 + 9/4*n**2. Determine w so that m(w) = 0.
-3, 0
Let y(i) be the first derivative of 14/3*i**2 - 8/3*i - 1/4*i**4 + 3/5*i**5 - 26/9*i**3 + 15. Factor y(s).
(s - 1)*(s + 2)*(3*s - 2)**2/3
Suppose 7*o + 6*o + 54 + 9*o + 2*o**2 + 2*o = 0. What is o?
-9, -3
Let g = -278381/19 - -14657. Let 22/19*w + 6/19 - 56/19*w**4 - 30/19*w**2 - g*w**3 = 0. What is w?
-1, -1/4, 3/7
Let n be 7 - (-3 - -2) - 1. Let s be (-3)/(-42)*6*n. Solve -s*o + 7*o**3 - 9*o**2 + 0*o**2 + 5*o = 0 for o.
0, 2/7, 1
Let p(b) be the first derivative of 7/240*b**6 - 1/4*b**5 + 3/4*b**4 - 2/3*b**3 + 0*b - 5/2*b**2 + 1. Let a(k) be the second derivative of p(k). Factor a(s).
(s - 2)**2*(7*s - 2)/2
Suppose -343/4 - 21*f**2 - 2*f**3 - 147/2*f = 0. What is f?
-7/2
Factor 2/3*m**4 + 10/3*m**2 - 4/3*m + 0 - 8/3*m**3.
2*m*(m - 2)*(m - 1)**2/3
Let t = 6127/3 - 2042. Find k such that 0 + 1/3*k**2 - 2/3*k + k**3 - 1/3*k**5 - t*k**4 = 0.
-2, -1, 0, 1
Suppose 3*m = 15, 0 = -3*n + 15*m - 14*m - 5. Let l(a) be the first derivative of 7 + n*a**2 + 0*a**5 + 1/6*a**6 + 0*a + 0*a**3 + 0*a**4. Factor l(v).
v**5
Let x(j) be the second derivative of j**6/6 + j**5/2 - 65*j**4/12 - 95*j**3/3 - 60*j**2 + j - 41. Let x(v) = 0. Calculate v.
-3, -2, -1, 4
Let n(h) = -3*h**4 - 8*h**3 - 5*h**2 + 5*h. Let y = 22 + -14. Let i = -9 + y. Let s(x) = -x**3 - x**2 + x. Let w(k) = i*n(k) + 5*s(k). What is m in w(m) = 0?
-1, 0
Let m(j) = -j**5 - j**4 - j**3 + j - 1. Let c(x) = -20*x**5 + 395*x**4 - 595*x**3 - 5*x**2 + 205*x - 10. Let i(w) = -c(w) + 10*m(w). Solve i(a) = 0 for a.
-1/2, 0, 1, 39
Let j be 5/(15/12) + (-13392)/3360. Let n(b) be the third derivative of 0*b**4 - 4*b**2 + 0*b**3 - j*b**7 + 0*b - 1/24*b**6 - 1/30*b**5 + 0. Factor n(g).
-g**2*(g + 1)*(3*g + 2)
Let k(p) be the second derivative of -p**4/12 + 47*p**3/3 - 2209*p**2/2 + 3*p + 19. Determine o, given that k(o) = 0.
47
Let v(f) be the third derivative of 2*f**6/3 - 2*f**5/3 - 25*f**4/8 + 15*f**3/2 - 34*f**2. Let v(c) = 0. What is c?
-1, 3/4
Let l(y) be the second derivative of -3 - 2/21*y**4 + 0*y**2 - 1/14*y**5 - 11*y - 1/21*y**3 - 2/105*y**6. Factor l(m).
-2*m*(m + 1)**2*(2*m + 1)/7
Suppose 2*w - 4*q - 2 = 0, -2*q + 0 + 14 = 2*w. Suppose -5*n + 3 = 4*y, -5*n - w + 0 = 0. Factor 2/3 + 0*r - 2/3*r**y.
-2*(r - 1)*(r + 1)/3
Let q be 46/69*(9 - 3)/2. Suppose -8 = -5*b - 2*o, -20 = b - 0*o - 5*o. Determine w, given that 0 + b*w + 0*w**q - 5/3*w**4 - 2/3*w**3 = 0.
-2/5, 0
Let -3/4 + 13/4*j - 7/4*j**4 + 1/4*j**5 + 9/2*j**3 - 11/2*j**2 = 0. What is j?
1, 3
Suppose 5*a - 4*w = 13 + 7, -2*w - 10 = 4*a. Suppose -8*x = 12*x. Solve x*h + a - 2/5*h**2 = 0.
0
Let r(b) be the second derivative of 0 - b**3 - 13*b - 1/12*b**4 - 9/2*b**2. Factor r(z).
-(z + 3)**2
Let u = -13804 + 96629/7. Factor -4/7 + 4/7*h - u*h**2.
-(h - 2)**2/7
Let z be 2*2 - 3/18*20. Let t = 9 + -9. Suppose z*w - 1/3*w**5 + w**3 + t + 5/3*w**2 - 1/3*w**4 = 0. Calculate w.
-1, 0, 2
Let q be 7/21*15 - 3. Let g(o) be the second derivative of -2*o + 0 + 1/4*o**4 + 9/2*o**2 - q*o**3. Let g(t) = 0. Calculate t.
1, 3
Factor -74*m**5 + 10*m + 317*m**5 + 48*m**2 - 432*m**4 + 138*m**3 + 2*m - 9*m.
3*m*(m - 1)**2*(9*m + 1)**2
Let x(j) be the second derivative of -5/44*j**4 + 2*j + 13/66*j**3 - 2/11*j**2 - 1/330*j**6 + 7/220*j**5 + 0. Factor x(s).
-(s - 4)*(s - 1)**3/11
Suppose 868*l - 875*l + 21 = 0. Let d(a) be the third derivative of 0*a**4 + 0*a + 1/15*a**5 - 2/105*a**7 + 0*a**6 + 0*a**l + 2*a**2 + 0. Factor d(m).
-4*m**2*(m - 1)*(m + 1)
Let g(k) be the third derivative of -k**5/12 - 5*k**4/8 + 25*k**3/3 - 23*k**2 + 3. Suppose g(q) = 0. What is q?
-5, 2
Let s be (-1074)/(-895) + (-19)/(-5). What is r in -8*r**s + 15/2*r**3 + 4*r**2 + 0 + 1/2*r - 4*r**4 = 0?
-1, -1/4, 0, 1
Factor -41*d + 19*d - 52 - 12*d**2 - 12*d**2 + 26*d**2.
2*(d - 13)*(d + 2)
Let s(o) be the second derivative of 0 + 1/42*o**4 + 0*o**2 + 5*o + 0*o**3 + 1/10*o**5 + 2/35*o**6. Factor s(f).
2*f**2*(f + 1)*(6*f + 1)/7
Let k(j) = -j**2 + 3*j + 4. Let i(h) = -4*h**2 + 12*h + 16. Let t(z) = z**3 + 1 + 19*z**2 + 1 - 24*z**2. Let s be t(5). Let n(c) = s*i(c) - 9*k(c). Factor n(v).
(v - 4)*(v + 1)
Suppose -10 = 5*a, 4*a - 9 + 15 = -m. Suppose 3*u - m*z = 14, -5*z = u + 2*u + 14. Suppose 12*t + 3/2*t**u + 24 = 0. Calculate t.
-4
Let q(i) = -2*i**4 + 4*i**3 + 16*i**2 - 68*i + 58. Let c(z) = -z**3 + z**2 + z + 1. Let y(h) = 4*c(h) - q(h). Suppose y(x) = 0. Calculate x.
-3, 1, 3
Let v(s) be the third derivative of 0*s**4 + 0 + 0*s**3 + 14*s**2 - 1/735*s**7 + 1/420*s**6 + 0*s**5 + 0*s. Factor v(c).
-2*c**3*(c - 1)/7
Let 139*c**2 + 77*c + 111 - 3*c**3 - 34*c**2 + 142*c = 0. What is c?
-1, 37
Let s(y) be the second derivative of 0 + 3*y - 1/10*y**2 + 1/60*y**4 - 1/30*y**3 + 1/100*y**5. Let s(w) = 0. What is w?
-1, 1
Let t(d) = -10*d - 41. Let y be t(-10). Suppose -y*x**3 - 4 + 4 + 48*x**2 + 4*x**4 - 32*x + 35*x**3 = 0. Calculate x.
0, 2
Let j = 126/41 - 548/205. Determine o, given that -j*o**2 + 12/5*o - 3/5*o**3 + 8/5 = 0.
-2, -2/3, 2
Let n be ((-10314)/8)/(-7 + 1). Let s = 215 - n. What is h in s*h + 1/8*h**2 - 1/4 = 0?
-2, 1
Let 0 + 2/15*b**5 - 12/5*b - 18/5*b**2 + 2/5*b**4 - 14/15*b**3 = 0. What is b?
-3, -2, -1, 0, 3
Determine b so that 9*b + 4 - 24*b**2 - 28*b**3 + 13*b - 2*b**4 + 22 + 6*b = 0.
-13, -1, 1
Suppose 4*i - 1 = 11. Let -u**5 + i*u**5 - 6*u**3 + 2*u**2 - 5*u**4 + 3*u**4 + 4*u = 0. What is u?
-1, 0, 1, 2
Let y(z) be the first derivative of -8/11*z**2 - 1/22*z**4 + 7 - 8/11*z - 10/33*z**3. Factor y(t).
-2*(t + 1)*(t + 2)**2/11
Let c be (-6)/(-15)*(-70)/168. Let a = c + 2/3. Factor -3/2*w + 1 + a*w**2.
(w - 2)*(w - 1)/2
Let g be (-235)/376*4/(-10). Let d(u) be the second derivative of 0*u**2 - g*u**5 - 14*u - 1/6*u**4 - 1/42*u**7 + 0 + 0*u**3 - 2/15*u**6. What is m in d(m) = 0?
-2, -1, 0
Determine m so that -15*m**3 - 16*m**3 + 12*m**5 + 44*m - 53*m**2 - 8 + 6*m