/7*f = 0.
0, 2/5, 1
Let l(r) be the second derivative of -r**4/54 - r**3/3 - 14*r**2/9 + 30*r. Factor l(v).
-2*(v + 2)*(v + 7)/9
Let z(b) = b**2 + 3*b + 11. Let s(x) = -4*x**2 - 8*x - 34. Suppose 10 = 2*m - m - 2*r, 0 = -2*m - 4*r + 4. Let v(u) = m*s(u) + 20*z(u). Factor v(k).
-4*(k - 4)*(k + 1)
Let z be (-13 + 4)/(2 - (3 + 0)). Let b be (828/40)/z + (-15)/10. Factor -b + 3/5*x**2 - 4/5*x.
(x - 2)*(3*x + 2)/5
Let i(v) be the first derivative of -4/7*v - 16/21*v**3 + 10/7*v**2 + 2. Factor i(f).
-4*(f - 1)*(4*f - 1)/7
Let s be 152 - 151 - (-1 - 13/(-7)). Let z(f) be the second derivative of -4*f + 1/42*f**4 + 0 + s*f**3 + 2/7*f**2. What is y in z(y) = 0?
-2, -1
Let i be 774/162 + 2/9. Let h(j) = -j**3 - 2*j**2 - 5. Let x be h(-4). Suppose 53*t - 120*t**3 - 8*t**4 + i + x*t**2 - 14*t + 1 + 56*t**4 = 0. What is t?
-1/4, 1, 2
Let w(t) be the first derivative of 3*t**5/40 - 15*t**4/32 + 3*t**3/8 + 27*t**2/16 - 120. Find f, given that w(f) = 0.
-1, 0, 3
Let u = -89 - -93. Factor -80*v**4 + 4*v**3 + 8*v + 1 + 81*v**u + 6*v**2 - 4*v.
(v + 1)**4
Let s = -9 - -29. Let q be 1 + 0 + (-15)/s. Factor q*d + 1/2 - 1/4*d**2.
-(d - 2)*(d + 1)/4
Let n(a) = 9*a - 24. Let y be n(7). Suppose y = 3*w + l, 0*w - 27 = -2*w - l. Factor -8*d**4 + 2*d + 3*d**4 - w*d + 15*d**2.
-5*d*(d - 1)**2*(d + 2)
Let b(m) = -m**3 + m**2 + 1. Let c be (12/(-10))/((-12)/60). Let g(h) = 5*h**4 + 4*h**3 + 6*h**2 - 10*h + 1. Let j(p) = c*b(p) - g(p). Factor j(v).
-5*(v - 1)*(v + 1)**3
Let o = 2 - -2. Find u, given that -2*u**2 + 0*u - 4*u**5 - 3*u + 2*u**3 + 3*u**5 + 2*u + u**o + 1 = 0.
-1, 1
Factor 0*t**3 + 0 + 8/7*t**4 - 4/7*t**5 - 8/7*t**2 + 4/7*t.
-4*t*(t - 1)**3*(t + 1)/7
Let t be (-12)/(-5 - -2) + -4. Let i be ((9 + t)/3)/(27/36). What is x in 0 + 0*x - 135/4*x**i - 3*x**2 + 243/4*x**5 - 24*x**3 = 0?
-2/9, 0, 1
Factor -2506*v**2 + 3*v - 8*v + 2511*v**2 + 0*v.
5*v*(v - 1)
Let h(i) = 0 + 1 - 12*i - 10 - i**2. Let v be h(-11). Solve 39 + b**3 + 2*b**2 - 38 + 3*b - b**2 + v*b**2 = 0 for b.
-1
Suppose -491*i - 28 = -498*i. Let q(m) be the second derivative of 0*m**2 + 5*m + 0 - 1/24*m**3 - 1/96*m**i. Factor q(o).
-o*(o + 2)/8
Let k(d) = -5*d**2 - 2*d - 1. Let h(y) = -29*y**2 - 35*y + 54. Let t(s) = h(s) - 6*k(s). Let t(f) = 0. Calculate f.
3, 20
Let f(k) = k**3 - 6*k**2 + 13*k - 9. Let s(i) = i**2 - i - 1. Let j(q) = f(q) - s(q). Determine u, given that j(u) = 0.
1, 2, 4
Let o = -59539/3 - -19853. Find c such that -100/3 + o*c - 1/3*c**2 = 0.
10
Let s(c) be the third derivative of 30*c**3 + 0 + 1/42*c**7 - 25/2*c**4 + 0*c - 5/12*c**6 - 40*c**2 + 37/12*c**5. Factor s(p).
5*(p - 3)**2*(p - 2)**2
Find m, given that 49/2*m**4 - 382*m + 64 + 1589/2*m**3 + 324*m**2 = 0.
-32, -1, 2/7
Let k(d) be the third derivative of -d**9/12096 - d**8/6720 + d**7/1680 - d**3/3 + 3*d**2. Let w(y) be the first derivative of k(y). Factor w(g).
-g**3*(g - 1)*(g + 2)/4
Let b(y) be the third derivative of -y**7/42 - 19*y**6/4 - 3361*y**5/12 - 1330*y**4 - 7840*y**3/3 + 126*y**2. Determine c, given that b(c) = 0.
-56, -1
Factor 32136 - 32106 + 33*a**2 - 248*a - 85*a.
3*(a - 10)*(11*a - 1)
Find j such that 74/13*j**2 - 48/13 + 140/13*j**3 - 116/13*j - 50/13*j**4 = 0.
-4/5, -2/5, 1, 3
Let x(u) = -14*u**4 - 25*u**3 + 18*u**2 + 20*u + 1. Let p(g) = 21*g**4 + 37*g**3 - 26*g**2 - 30*g - 2. Let h(a) = -5*p(a) - 7*x(a). Suppose h(d) = 0. What is d?
-1, -3/7, 1
Factor -684*p + 56*p**2 + 5776/3 - 4/3*p**3.
-4*(p - 19)**2*(p - 4)/3
Let p = -185 - -751/4. Let q = p - 61/28. Let 0 + 4/7*v**2 - q*v = 0. Calculate v.
0, 1
Let w = -28664 + 28666. Factor 1/3*t**3 + 25*t - 5*t**w - 125/3.
(t - 5)**3/3
Factor 428*p**3 + 24*p + 3*p**4 + 36*p**2 - 209*p**3 - 201*p**3.
3*p*(p + 2)**3
Let u = -813 + 817. Let y(n) be the second derivative of 0 - 1/15*n**u + 8/15*n**3 + 6*n - 8/5*n**2. Factor y(g).
-4*(g - 2)**2/5
Let r = -27 - -27. Suppose 0 = -r*u - u - 6*u. Solve 6/7*s + 3/7*s**2 + u = 0 for s.
-2, 0
Let x(a) be the first derivative of 5*a**3/9 + 5*a**2/6 - 100*a/3 - 491. Determine d, given that x(d) = 0.
-5, 4
Let p(n) be the second derivative of 0 - 1/80*n**5 + 1/6*n**4 + 23*n + 2*n**2 - 5/6*n**3. Factor p(k).
-(k - 4)*(k - 2)**2/4
Suppose 0 = -8*y + 1805 - 1789. Factor 2*f + 2/3*f**y - 8/3.
2*(f - 1)*(f + 4)/3
Let i(f) = -15*f**3 + 30*f**2 - 9*f - 3. Let c(x) = 16*x**3 + 11*x**3 - 9*x + 13*x**2 - 42*x**3 - 3 + 18*x**2. Let k(q) = -3*c(q) + 4*i(q). Factor k(o).
-3*(o - 1)**2*(5*o + 1)
Let z(h) = -14*h**3 + 12*h**2 - 6*h + 16. Let k(u) = 5*u**3 - 4*u**2 + 2*u - 6. Let n(i) = 8*k(i) + 3*z(i). Determine s, given that n(s) = 0.
0, 1
Factor 324*g + 732*g + 617*g**2 - 621*g**2 - 69696.
-4*(g - 132)**2
Let k(q) be the third derivative of q**5/30 + 9*q**4/4 + 5*q**2 + 21. Find u, given that k(u) = 0.
-27, 0
Let q = 94 + 26. Let s be 24/(-2)*(-8)/q. Factor 4/5*y**2 + 4/5*y**3 - s*y - 4/5.
4*(y - 1)*(y + 1)**2/5
Let c(f) be the third derivative of f**6/24 + 35*f**5/12 + 60*f**4 - 270*f**3 + 74*f**2 + f. Let c(v) = 0. Calculate v.
-18, 1
Let y be (0 - -3) + 8*3/(-10). Factor y*o**2 + 18/5*o + 27/5.
3*(o + 3)**2/5
Let u be 4/(-24)*(-48)/4. Factor 8/9*k - 2/3*k**3 + 0*k**u + 0 + 2/9*k**4.
2*k*(k - 2)**2*(k + 1)/9
Let r be (-5 - 0)*(-21 + (-510)/(-25)). Suppose 0*s**2 + 8/11*s**4 + 0 + 8/11*s**r + 2/11*s**5 + 0*s = 0. What is s?
-2, 0
Let v = -43/79 + 545/711. Factor -2/9*w + 1/9*w**4 + v*w**3 - 1/9 + 0*w**2.
(w - 1)*(w + 1)**3/9
Let h(q) be the third derivative of 5*q**8/896 - 23*q**7/560 + 7*q**6/64 - 17*q**5/160 - q**4/16 + q**3/4 - 98*q**2 - 1. Determine f, given that h(f) = 0.
-2/5, 1, 2
Suppose 0 = -33*i + 35*i - 24. Suppose -3*f - 20 = -7*f + 3*z, -3*z = i. Factor 0 + 2/5*p**f - 4/5*p.
2*p*(p - 2)/5
Let w = -2430 + 2432. Determine m, given that 0*m + 6/13*m**w - 8/13 - 2/13*m**3 = 0.
-1, 2
Let s(r) be the first derivative of -r**7/168 - 7*r**6/72 - 5*r**5/8 - 15*r**4/8 + r**3/3 + 6. Let k(b) be the third derivative of s(b). Solve k(v) = 0 for v.
-3, -1
Let l(v) be the second derivative of -9/14*v**4 + 2 + 6*v - 3/7*v**3 - 1/7*v**2 - 27/70*v**5. Factor l(f).
-2*(3*f + 1)**3/7
Factor 40/3*v**2 - 2*v**3 - 24*v + 32/3.
-2*(v - 4)*(v - 2)*(3*v - 2)/3
Let w(q) be the third derivative of -q**6/320 - 7*q**5/160 - q**4/16 + 3*q**3/4 + 69*q**2. Determine t, given that w(t) = 0.
-6, -2, 1
Let f(z) be the second derivative of z**5/190 + 9*z**4/38 - z**3 + 29*z**2/19 + 2*z - 482. Factor f(k).
2*(k - 1)**2*(k + 29)/19
Let f be (4/(-14))/(((-28)/49)/4). Solve 4*h**f + 4*h**2 - 9*h**2 = 0.
0
Let k = 94/45 + -8/9. Let r = 381/470 + -1/94. Factor -2/5*f**2 - r + k*f.
-2*(f - 2)*(f - 1)/5
Suppose -3*u + 28 = -2*z, 2*z = -z - 2*u - 16. Let p be (4 + z/(-2))/2. Determine l so that -1/2 + 0*l**3 - 1/2*l**p + 0*l + l**2 = 0.
-1, 1
Let l = 622 - 271. Let z = l + -202. Factor 149*u**2 + 2*u**4 + 3*u**5 - z*u**2 - u**3.
u**3*(u + 1)*(3*u - 1)
Find c, given that -18*c**2 + 32/7*c**3 + 128/7 - 32/7*c - 2/7*c**4 = 0.
-1, 1, 8
Factor -26/3*l**2 + 2/3*l**3 + 44/3*l + 0.
2*l*(l - 11)*(l - 2)/3
Factor -9/2*i + 3/2*i**2 + 1/2*i**3 + 5/2.
(i - 1)**2*(i + 5)/2
Let h(l) = 2*l - 9. Suppose 2*c + 4*d - 24 = 0, 0*c + 2*c - d - 9 = 0. Let k be h(c). Determine a, given that 0*a + 2*a - 4*a**2 + 3*a**2 - k*a = 0.
-1, 0
Let r(b) be the third derivative of 11*b**6/60 + 7*b**5/30 - b**4/3 + 153*b**2. Solve r(k) = 0 for k.
-1, 0, 4/11
Let w be (-60)/18 - (-2 - -5)*(-24)/18. Let 2/3*t**3 - 2/3*t**2 + 2/3 - w*t = 0. What is t?
-1, 1
Factor 132/7*u + 4/7*u**3 + 144/7 + 40/7*u**2.
4*(u + 3)**2*(u + 4)/7
Let b(r) be the third derivative of r**5/180 - r**3/18 + 62*r**2 + 2*r. Find h, given that b(h) = 0.
-1, 1
Suppose -5*y - j + 130 = -6*j, 3*j - 83 = -4*y. Let d = y + -20. Factor -4/3*q**4 + 2/3*q**5 + 2/3*q**d + 0*q + 0*q**2 + 0.
2*q**3*(q - 1)**2/3
Let m(l) be the third derivative of l**9/120960 + l**8/20160 + l**7/10080 + 2*l**5/15 - 11*l**2. Let n(b) be the third derivative of m(b). Factor n(i).
i*(i + 1)**2/2
Let a(o) be the third derivative of 8*o**2 + 5/4*o**3 - 1/24*o**5 + 0*o + 5/24*o**4 + 0. Factor a(v).
-5*(v - 3)*(v + 1)/2
Let t = 6 + -5. Let b be (-15)/2*t/(3 - 13). Factor 3/2*h - b*h**2 + 0.
-3*h*(h - 2)/4
Suppose -61*h - 43 + 287 = 0. Determine g, given that 2/7*g**3 + 0*g + 4/7*g**2 - 2/7*g**5 + 0 - 4/7*g**h = 0.
-2, -1, 0, 1
Factor 4*n**3 + 0 + 0*n**2 + 0*n + 2/7*n**4.
2*n