 the first derivative of n(q). Factor i(s).
-s*(s + 3)/4
Let g = -2791/8 - -349. Let o(v) be the second derivative of 3/2*v**2 + 1/4*v**3 + 0 - g*v**4 - 10*v. Solve o(y) = 0 for y.
-1, 2
Suppose j + 2*h = 5*j - 12, j - 3*h = 3. Determine b so that 243 - 25*b**3 - 8*b**j + 570*b**2 - 675*b - 47*b**3 - 45*b**4 - 3*b**5 - 10*b**3 = 0.
-9, 1
Let m(g) = 4*g - 28. Let n be m(12). Factor 4*q**2 - n*q + 6743 - 6743.
4*q*(q - 5)
Let h(j) = -8*j**5 - 5*j**4 + 7*j**3 + 9*j**2 - 3*j + 8. Let t(n) = 17*n**5 + 10*n**4 - 15*n**3 - 19*n**2 + 7*n - 18. Let i(k) = -9*h(k) - 4*t(k). Factor i(m).
m*(m - 1)*(m + 1)**2*(4*m + 1)
Let y be 0 - 4/1*-1. Suppose 12*v - 4 = 44. Factor -x**5 + 1 + 0*x**5 - 2*x**3 - v*x**y - 3*x**4 + 4*x**4 + 3*x + 2*x**2.
-(x - 1)*(x + 1)**4
Let t be 10/((-150)/185) - -13. Factor 2/3*p**3 - p**2 + t - p.
(p - 2)*(p + 1)*(2*p - 1)/3
Let u = 1859 + -1859. Solve u*s + 0 + 3/7*s**4 - 6/7*s**2 - 3/7*s**3 = 0.
-1, 0, 2
Let b be (4/10)/(187/935). Let j(c) be the second derivative of 0*c**3 + 0 + 10*c - 1/3*c**4 + b*c**2. Factor j(q).
-4*(q - 1)*(q + 1)
Let n(k) = k**2 - 9*k + 5. Let q be n(9). Suppose q*f - 4 - 16 = 0, -4*h = 5*f - 28. Factor -3/5*b**h - 12/5 - 12/5*b.
-3*(b + 2)**2/5
Let s = 47 + -65. Let r be ((-3)/s)/((-3)/(-120)). What is q in 5/3*q**4 + 10*q**2 - 20/3*q + 5/3 - r*q**3 = 0?
1
Suppose 26*d**3 - 1/4*d**4 - 2809/4 - 1299/2*d**2 - 1378*d = 0. What is d?
-1, 53
Let x = 47788 - 47786. Let 16/5*j**x + 4/5*j - 16/5 - 4/5*j**3 = 0. What is j?
-1, 1, 4
Let -25*u - 8 + 6*u**4 - 7918*u**2 + u + 7896*u**2 + 2*u**5 - 2*u**3 = 0. What is u?
-2, -1, 2
Suppose -21*t - 860 = -26*t. Factor -26 - 4*h**2 - 64*h + 121 - t - 179.
-4*(h + 8)**2
Let r(v) = -2*v**3 + v**2. Let w(s) = -8*s**3 - 59*s**2 - 510*s - 450. Let l(u) = -3*r(u) + w(u). Factor l(x).
-2*(x + 1)*(x + 15)**2
Let k(v) be the third derivative of 1/350*v**7 + 13*v**2 + 0*v**3 - 3/200*v**6 + 0*v**5 + 0 + 1/10*v**4 + 0*v. Factor k(w).
3*w*(w - 2)**2*(w + 1)/5
Let l(b) be the second derivative of 1/19*b**3 + 1/190*b**5 - 17*b + 1/38*b**4 + 0 + 1/19*b**2. Factor l(u).
2*(u + 1)**3/19
Let a be ((-14)/(-6) - 2)/(2/42). Solve -7*j**3 + 2*j + 0*j - 5*j**5 + 3*j**3 + a*j**5 = 0.
-1, 0, 1
Let d be (-771)/2056 - 366/(-208). Factor -4/13*f + 0 - d*f**2 - 14/13*f**3.
-2*f*(f + 1)*(7*f + 2)/13
Let n(a) = a**3 - a. Let o(w) = 2749*w**3 - 1764*w**2 + 373*w - 27. Let m(c) = -5*n(c) + o(c). Solve m(l) = 0 for l.
3/14
Let i(k) be the second derivative of k**8/560 - k**7/168 + k**6/360 + k**5/120 - k**3 - 9*k. Let c(y) be the second derivative of i(y). Factor c(n).
n*(n - 1)**2*(3*n + 1)
Let s = 9316 - 9314. Factor 1/6*m**4 - 7/3*m**3 + 1/6*m**5 + 13/3*m**s + 5/6 - 19/6*m.
(m - 1)**4*(m + 5)/6
Let x(w) = -29*w**2 - w - 30 + 28*w**2 + 15*w + 3*w. Let n be x(15). What is r in 1/2*r**3 + n*r**2 - 1/2*r - 1/4*r**4 + 1/4 = 0?
-1, 1
Let z(u) be the second derivative of 7*u**5/150 - 4*u**4/15 + 4*u**3/15 + 7*u**2/2 - 8*u. Let g(r) be the first derivative of z(r). Factor g(a).
2*(a - 2)*(7*a - 2)/5
Let u(g) be the second derivative of 5/6*g**3 + 5/42*g**7 - 22*g - 5*g**2 - 1/3*g**6 - 1/2*g**5 + 5/3*g**4 + 0. Let u(k) = 0. What is k?
-1, 1, 2
Factor 1/4*k**5 - 7/4*k**2 + 0 + 1/2*k + 9/4*k**3 - 5/4*k**4.
k*(k - 2)*(k - 1)**3/4
Let s = 67 + -67. Suppose 0 = -t + 3, -3*f - 3*t - 12 + 30 = s. Factor 16/9*m**2 + 2/9*m**4 + 8/9*m + 10/9*m**f + 0.
2*m*(m + 1)*(m + 2)**2/9
Let z(a) be the second derivative of a**8/1008 - a**7/315 + a**5/90 - a**4/72 - 21*a**2/2 - 13*a. Let h(x) be the first derivative of z(x). Factor h(i).
i*(i - 1)**3*(i + 1)/3
Let m(v) be the second derivative of -v**4/30 + 20*v + 2. Factor m(a).
-2*a**2/5
Let j = -2444 + 2448. Solve 0*i - 8/3*i**3 + 0 + 2/3*i**5 - 2/3*i**j + 8/3*i**2 = 0.
-2, 0, 1, 2
Suppose -2*v - 10 = -2*s, -2*s + 3*v + 13 = -2*v. Factor -18*c**2 + 1 + 48*c**3 - s*c**4 - 166*c**2 + 240*c - 101.
-4*(c - 5)**2*(c - 1)**2
Let l(r) = -r + 28. Let d be l(13). Suppose -5*z + m = 5*m - 30, 0 = 3*m - d. Factor z*v**4 - v**2 - 1 + 7*v**3 - 5*v + 2*v - 4*v**3.
(v - 1)*(v + 1)**2*(2*v + 1)
Suppose -68/3*s - 22 - 2/3*s**2 = 0. Calculate s.
-33, -1
Find n such that -15/4*n**3 + 105/2 - 453/4*n - 87/2*n**2 = 0.
-7, -5, 2/5
Find x such that -3*x**3 + 21*x**3 + 10*x**4 - 10*x**2 + 7*x**3 - 5*x**5 - 5*x**3 - 15*x = 0.
-1, 0, 1, 3
Let w(o) be the second derivative of -4/3*o**3 + 0 - 1/12*o**4 - 8*o**2 + 14*o. Solve w(z) = 0 for z.
-4
Factor 3/2*s**2 - 27 + 9/2*s.
3*(s - 3)*(s + 6)/2
Let g be (21/9 + -1)/(6/9). Suppose 0 - 27/7*a**3 + 12/7*a**g + 4/7*a = 0. What is a?
-2/9, 0, 2/3
Factor 4*s - 8/7*s**2 + 16/7 - 8/7*s**4 + 4/7*s**5 - 32/7*s**3.
4*(s - 4)*(s - 1)*(s + 1)**3/7
Let c(f) be the second derivative of -f**8/5880 - f**7/735 - f**6/420 + 4*f**3 - 43*f. Let a(p) be the second derivative of c(p). Factor a(i).
-2*i**2*(i + 1)*(i + 3)/7
Let 24/7*n**2 - 24/7 - 4/7*n + 4/7*n**3 = 0. Calculate n.
-6, -1, 1
Let m(a) be the second derivative of a**4/12 + a**3/6 + a**2/2 + 3*a - 1. Let s(g) = 3*g**3 - 3*g**2 - 18*g - 18. Let l(j) = -6*m(j) - s(j). Factor l(k).
-3*(k - 2)*(k + 1)*(k + 2)
Let q = -306 - -308. Let z = 3 - -6. Factor 6*d**2 - z*d**2 + 0*d**q.
-3*d**2
Let y(l) = 2*l**2 - 5*l - 9. Let j be y(-2). Let o(f) = -10*f**2 - 10*f + 4. Let c(x) = -21*x**2 - 20*x + 8. Let q(h) = j*o(h) - 4*c(h). Factor q(m).
-2*(m + 2)*(3*m - 1)
Let c(h) be the first derivative of h**5/30 + 13*h**4/24 + 11*h**3/18 - 13*h**2/12 - 2*h - 104. Factor c(v).
(v - 1)*(v + 1)**2*(v + 12)/6
Let g(r) be the third derivative of -r**5/75 + 4*r**4/15 - 14*r**3/15 - r**2 - 7*r. Factor g(y).
-4*(y - 7)*(y - 1)/5
Let s(h) = -2*h**2 + 61*h + 119. Let t(a) = -a**2 + 20*a + 40. Let m(o) = -4*s(o) + 11*t(o). Find c, given that m(c) = 0.
-6, -2
Factor z**4 - 64*z**3 + 3*z**4 + 4*z**5 - 82*z**2 + 162*z**2.
4*z**2*(z - 2)**2*(z + 5)
Let i = 41 - 39. What is q in 18 + q**i + 7*q - 24 - 4*q**2 + 12 + q**4 - 3*q**3 = 0?
-1, 2, 3
Let q = 9 - 6. Let m(b) = -4*b + 2*b - 1 + q*b - 2*b + b**2. Let h(a) = -6*a**2 + 8*a + 9. Let s(c) = -h(c) - 5*m(c). Determine t so that s(t) = 0.
-1, 4
Suppose -5*u = -3 - 47. Suppose 5*g = -3*b - 2, 5*g - b - 4 = u. Solve 15*d**4 - g*d**3 - 7*d**3 - 3*d**3 - 3*d**2 = 0 for d.
-1/5, 0, 1
Let x(m) be the first derivative of m**4/2 - 10*m**3/3 - 13*m**2 - 26*m + 17. Let v(j) = -j**2 - 1. Let o(i) = -6*v(i) + x(i). Find d such that o(d) = 0.
-2, -1, 5
Let p = 1803 + -14423/8. Let h(g) be the first derivative of 0*g**2 - 3 + 0*g - p*g**4 + 1/12*g**3 - 3/20*g**5. Suppose h(z) = 0. Calculate z.
-1, 0, 1/3
Let f(o) be the third derivative of 0*o + 0 + 1/120*o**5 - 1/8*o**4 + 3/4*o**3 - 13*o**2. What is t in f(t) = 0?
3
Let k be 5 + (4/10 - 51/15). Let g = -583/5 - -117. What is z in -8/5*z + g*z**k + 8/5 = 0?
2
Let h be 2/(-3) + 186/540*2. Let v(w) be the third derivative of 0 - 1/105*w**7 + 0*w**3 + 0*w + 1/180*w**6 + h*w**5 + 0*w**4 - 4*w**2. Factor v(z).
-2*z**2*(z - 1)*(3*z + 2)/3
Let l(v) = 14*v**2 - 11*v - 3. Let x(g) be the first derivative of 19*g**3 - 45*g**2/2 - 12*g - 3. Let k be 4/1*(-2)/4. Let d(j) = k*x(j) + 9*l(j). Factor d(o).
3*(o - 1)*(4*o + 1)
Let f = -52 + 37. Let d be (-2)/(-10) + (-7)/f. Factor 1 + d*o + 1/3*o**4 - 2/3*o**3 - 4/3*o**2.
(o - 3)*(o - 1)*(o + 1)**2/3
Let a = -109107/2 - -54554. Suppose 4*x - 10 = 2*s, s - 6*s = 3*x - 27. Determine j so that 5/4*j + 1/2 - a*j**2 - 5/4*j**s = 0.
-1, -2/5, 1
Let t(d) be the first derivative of 25*d**6/48 - 11*d**5/2 + 589*d**4/32 - 311*d**3/12 + 67*d**2/4 - 5*d + 169. What is c in t(c) = 0?
2/5, 1, 2, 5
Factor 49/3*r**2 + 1708/3*r + 14884/3.
(7*r + 122)**2/3
Let j be -1 + (0 - -3) - -26. Suppose -5*d + j = 4*k - 0*k, -k - 2 = -d. What is i in -i**3 - 3*i**2 + 2*i**2 + k*i + 3*i - 3*i = 0?
-2, 0, 1
Suppose 4*w + 293 = 5*z + 310, -5*z - 5 = 0. Suppose 81/5 + 27/5*o**2 + 81/5*o + 3/5*o**w = 0. Calculate o.
-3
Let x = 1924 - 1919. Let z(y) be the third derivative of 3/2*y**3 + 6*y**2 - 1/20*y**x + 1/4*y**4 + 0*y + 0. Factor z(b).
-3*(b - 3)*(b + 1)
Let u be (-3)/((-3)/5) - 0. Suppose -u*v + 5*h = 0, 3*v + 1 = 2*h + 3. Let 9*q**2 - 12*q**v + 5*q**3 - 2*q**3 = 0. Calculate q.
0, 1
Let r(f) = f**3 - f**2 + f. Let q(p) = -15*p**3 + 16*p**2 - 9*p - 3. Let c be (256/2)/(-4) + 4. Let o = c + 6. Let l(d) = o*r(d) - 2*q(d). Solve l(n) = 0 for n.
-3/4, 1
Let m be 3/1