lve 0*g**2 + 5/3*g**4 + 0*g + 5/3*g**d + 0 = 0 for g.
-1, 0
Let r be 77/3 - (-4)/12. Suppose -10*n - 22 + r + 4*n**2 - n**2 + 5*n**2 - 2*n**3 = 0. What is n?
1, 2
Let g(t) be the first derivative of t**4/24 - 7*t**3/18 - 10*t**2/3 - 22*t/3 - 415. Solve g(z) = 0 for z.
-2, 11
Suppose -5*t = -4*o - 20, 2*t - 5*o + 4 = 3*t. Suppose 9*v - 51 = -8*v. Factor 2*j**2 + 7*j**v + j**3 - 2*j**3 - 8*j**t.
-2*j**2*(j - 1)*(4*j + 1)
Let q(l) be the first derivative of -3*l**5/20 + 3*l**4/4 + l**3/2 - 9*l**2/2 + 9*l + 4. Let h(n) be the first derivative of q(n). Solve h(p) = 0 for p.
-1, 1, 3
Let a(b) be the second derivative of b**9/3024 - b**7/840 - 2*b**3 + 14*b. Let v(o) be the second derivative of a(o). Let v(k) = 0. What is k?
-1, 0, 1
Let y(b) be the first derivative of 2*b**5/45 + 4*b**4/9 - 2*b**3/9 - 22*b**2/9 + 32*b/9 - 91. Solve y(h) = 0.
-8, -2, 1
Let k be -2 + 12/(2 + 1). Suppose 16 - 5*f**k - 15*f - 16 = 0. What is f?
-3, 0
Let g = 16146/5 - 3228. Suppose 0 - 4/5*u + 2/5*u**3 + 2/5*u**5 - 6/5*u**4 + g*u**2 = 0. What is u?
-1, 0, 1, 2
Let r(s) be the second derivative of s**7/18900 + s**6/900 + s**5/100 - 5*s**4/3 - s. Let w(b) be the third derivative of r(b). Factor w(l).
2*(l + 3)**2/15
Let p(w) be the first derivative of 2*w**3/63 - 2*w**2/21 - 16*w/21 + 186. Factor p(r).
2*(r - 4)*(r + 2)/21
Let t(b) be the first derivative of b**4/14 + 52*b**3/21 + 92*b**2/7 + 176*b/7 - 141. Let t(s) = 0. What is s?
-22, -2
Let f(q) be the third derivative of 0*q + 1/80*q**5 + 0*q**4 + 0*q**3 - 25*q**2 + 0. Suppose f(i) = 0. Calculate i.
0
Let w(v) be the first derivative of -v**4/36 - v**3/9 - v**2/6 + 10*v - 4. Let a(t) be the first derivative of w(t). Factor a(y).
-(y + 1)**2/3
Let b(p) be the third derivative of -2*p**7/735 + 23*p**6/420 - 7*p**5/30 + 37*p**4/84 - 3*p**3/7 + 99*p**2. Find k, given that b(k) = 0.
1/2, 1, 9
Let 4/7*j**5 + 32*j + 4*j**3 - 44/7*j**4 + 572/7*j**2 - 112 = 0. Calculate j.
-2, 1, 7
Factor 39/7*x**2 - 12/7*x**3 + 0 - 9/7*x.
-3*x*(x - 3)*(4*x - 1)/7
Let c(t) be the second derivative of -t**5/50 - t**4/30 + 3*t**3/5 + 9*t**2/5 + 127*t. Solve c(f) = 0.
-3, -1, 3
Suppose -11 = -5*v - 1. Factor -3*n**3 - n**5 - 9*n**4 - 4*n**2 + 10*n**4 - 2*n + 2*n**5 - n**v.
n*(n - 2)*(n + 1)**3
Let p(w) = 18*w**2 + 3*w. Let c(o) = o**3 + 23*o**2 + 4*o. Let i(y) = -5*c(y) + 6*p(y). Factor i(m).
-m*(m + 1)*(5*m + 2)
Factor -35*v - 885 - 18*v + 0*v - 121*v - 106*v + 5*v**2.
5*(v - 59)*(v + 3)
Let j(g) be the first derivative of -5*g**4/4 + 40*g**3/3 - 40*g**2 - 76. Let j(r) = 0. What is r?
0, 4
Let y = 2541 + -2541. Let g(a) be the third derivative of 0*a**3 - 1/600*a**6 - 1/300*a**5 + y*a + 0*a**4 + 6*a**2 + 0. Factor g(q).
-q**2*(q + 1)/5
Let m(v) = -v**2 - 9*v + 23. Let l be m(-11). Let q(i) = 4*i**2 - i - 1. Let t be q(l). Determine j so that 0*j - 3*j - 2*j**t + 4*j**2 + j = 0.
0, 1
Let g(o) be the second derivative of o**8/2352 + o**7/1470 - o**6/840 - o**5/420 - 11*o**2/2 + 9*o. Let c(q) be the first derivative of g(q). Factor c(i).
i**2*(i - 1)*(i + 1)**2/7
Let r = -20 + 20. Let w be r + (4 + -6 - -95). Determine j so that 3*j**2 - w - 3*j**3 + 93 = 0.
0, 1
Let v be (-6*(-6)/(-24))/(2/(-8)). Let q be -3*(-3)/18 - -1. Factor 157/6*h**2 + q*h**4 + 11*h**3 + v + 22*h.
(h + 3)**2*(3*h + 2)**2/6
Let 722 + 1/2*p**2 - 38*p = 0. What is p?
38
Let x(j) be the third derivative of j**6/180 - j**5/45 - j**4/12 - 2*j**2 - 28. Factor x(b).
2*b*(b - 3)*(b + 1)/3
Suppose -20 + 0 = 5*j - 3*g, 5*g - 12 = 3*j. Let r be ((-10)/(40/(-6)))/((-2)/j). Factor 0 + 15/7*x**r + 6/7*x**2 + 12/7*x**4 + 0*x + 3/7*x**5.
3*x**2*(x + 1)**2*(x + 2)/7
Let 56*c**2 + c**5 + 0*c**4 - 211*c**3 + 3*c**4 - 9*c**4 - 128 + 0*c**5 + 207*c**3 = 0. Calculate c.
-2, 2, 4
Let 0*s + 1/3 - 1/3*s**2 = 0. What is s?
-1, 1
Let j(c) be the first derivative of 65/14*c**4 + 17 - 2/5*c**5 - 138/7*c**3 - 108/7*c + 243/7*c**2. Factor j(a).
-2*(a - 3)**3*(7*a - 2)/7
Let x(p) = 2*p**4 - 110*p**3 - 386*p**2 + 478*p + 8. Let y(c) = c**4 - 73*c**3 - 257*c**2 + 319*c + 5. Let s(u) = -5*x(u) + 8*y(u). Factor s(b).
-2*b*(b - 1)*(b + 9)**2
Let d(u) be the second derivative of 10*u + 8/15*u**3 + 1/3*u**4 + 1/25*u**5 + 0 + 0*u**2. Factor d(p).
4*p*(p + 1)*(p + 4)/5
Suppose -13*f + 18*f + 4*q = -10, q - 5 = -5*f. Let -56/19*d - 392/19 - 2/19*d**f = 0. Calculate d.
-14
Let a(c) be the first derivative of -1/14*c**4 + 26 + 0*c - 1/7*c**2 - 4/21*c**3. Determine n, given that a(n) = 0.
-1, 0
Let t = -1015/22 + 5119/110. Factor 0 + 4/5*k - t*k**3 + 2/5*k**2.
-2*k*(k - 2)*(k + 1)/5
Factor -31*a**2 + 3*a + 4 - a**3 - 3*a + a + 62*a**2 - 35*a**2.
-(a - 1)*(a + 1)*(a + 4)
Let d(s) be the first derivative of -2/7*s**6 + 16/35*s**5 + 0*s**2 - 8/21*s**3 + 12 + 0*s + 5/7*s**4. Solve d(u) = 0 for u.
-1, 0, 1/3, 2
Let m(r) = r**3 + 20*r**2 + 18*r - 21. Let g be m(-19). Let v be 96/36 + g/(-6). Factor -1/2*f + 1/2*f**v + 1 - f**2.
(f - 2)*(f - 1)*(f + 1)/2
Let d(c) be the first derivative of c**5/12 + c**4/8 - c**3/3 + 15*c**2/2 - 3. Let h(n) be the second derivative of d(n). Factor h(q).
(q + 1)*(5*q - 2)
Let r(j) be the third derivative of j**7/42 + 7*j**6/2 - 57*j**5/4 + 215*j**4/12 + 652*j**2. Factor r(y).
5*y*(y - 1)**2*(y + 86)
Let w(v) = v**3 - 20*v**2 - v + 24. Let r = -49 + 69. Let o be w(r). Suppose -7/4*y**o - 1/2 - 27/4*y**2 + 13/4*y + 23/4*y**3 = 0. What is y?
2/7, 1
Let u(t) be the first derivative of t + 3/2*t**2 - 29 + 3/8*t**4 + 13/12*t**3 + 1/20*t**5. Determine f, given that u(f) = 0.
-2, -1
Let h(r) = -100*r**2 + 90*r + 360. Suppose -p + 35 = -20. Let f(k) = 11*k**2 - 10*k - 40. Let v(w) = p*f(w) + 6*h(w). Determine g, given that v(g) = 0.
-2, 4
Suppose -g + 7 = -5*c, -6*c = 3*g - 4*c - 4. Factor -961/6*b**g - 2/3 + 62/3*b.
-(31*b - 2)**2/6
Let z = 38457 + -192271/5. Factor 0*g + 4/5*g**3 + 18/5 - z*g**2.
2*(g - 3)*(g + 1)*(2*g - 3)/5
Let j(p) = -6*p + 50. Let c be j(8). Let h be c + 2 + -1 - (-4 - -4). Factor 2/11*s + 0 + 2/11*s**2 - 4/11*s**h.
-2*s*(s - 1)*(2*s + 1)/11
Factor 4*z**4 + 14 + 4*z**2 - 16*z**3 + 24*z - 25 + 11.
4*z*(z - 3)*(z - 2)*(z + 1)
What is k in -2/9*k**2 + 20/9 + 2/3*k = 0?
-2, 5
Let z = -29 - -38. Let o = -7 + z. Factor -5*d**o + 3*d + d - 12*d + 3*d.
-5*d*(d + 1)
Factor 28874*r**3 - 108 - 14441*r**3 - 14436*r**3 - 99*r - 30*r**2.
-3*(r + 3)**2*(r + 4)
Let n be 1/(-5)*1 + (-108)/(-15). Find p such that -231 - 3*p**2 + 59*p - 132 + 0*p**2 + n*p = 0.
11
Suppose 3*d + 25 = -5*m, -5*d + m - 2*m - 5 = 0. Let t(b) be the first derivative of 1/6*b**4 - 1/3*b**2 - 1 + d*b**3 + 0*b. Determine z so that t(z) = 0.
-1, 0, 1
Let z = 30 - 23. Determine m so that z*m**5 - m - 16*m**3 + 5*m - 4*m - 4*m**2 - 5*m**4 = 0.
-1, -2/7, 0, 2
Determine m so that 27*m - m**2 + 27*m + 4 - 54*m = 0.
-2, 2
Let p(g) = -g**4 - 27*g**3 + 50*g**2 + 27*g - 52. Let c(u) = 3*u**4 + 53*u**3 - 100*u**2 - 53*u + 104. Let h(m) = -3*c(m) - 7*p(m). Suppose h(k) = 0. What is k?
-1, 1, 2, 13
Let t(z) be the second derivative of -z**7/210 + 7*z**6/150 - 9*z**5/50 + 11*z**4/30 - 13*z**3/30 + 3*z**2/10 + 122*z + 2. Let t(x) = 0. What is x?
1, 3
Let z(n) be the third derivative of n**5/120 + n**4/24 - 5*n**3/4 - 13*n**2 - 2. Factor z(x).
(x - 3)*(x + 5)/2
Suppose -6724/5 - 164/5*t - 1/5*t**2 = 0. Calculate t.
-82
Let u(m) = 72*m**4 - 76*m**3 - 28*m**2 + 176*m. Let x(p) = -13*p**4 + 14*p**3 + 5*p**2 - 32*p. Let r(d) = 5*u(d) + 28*x(d). Find s such that r(s) = 0.
-1, 0, 2
Let q(v) = -12*v**2 + 116*v - 104. Let h(g) be the first derivative of 8*g**3/3 - 77*g**2/2 + 69*g - 14. Let j(y) = 8*h(y) + 5*q(y). Factor j(n).
4*(n - 8)*(n - 1)
Let v(s) = -s**2 - 9*s - 3. Let h be v(-6). Suppose -2*m + 5*m - h = 3*x, -2*m - x = -1. Solve 2/3*k**m - 2/3*k - 4/3 = 0 for k.
-1, 2
Let p(w) = w**5 - 4*w**4 - 6*w**3 + 14*w**2 + 7*w - 8. Let b(z) = -3*z**5 + 13*z**4 + 18*z**3 - 45*z**2 - 22*z + 25. Let h(t) = 2*b(t) + 7*p(t). Solve h(u) = 0.
-2, -1, 1, 3
Suppose 52 = -62*j + 300. Let z(l) be the third derivative of 1/12*l**j + 1/60*l**5 + 0*l + 1/6*l**3 + l**2 + 0. Let z(q) = 0. What is q?
-1
Let -10*h**2 - 91 + 356*h - 180*h**2 - 158*h**2 - 66 + 149 = 0. What is h?
2/87, 1
Let a be 2/9 + 50/(-225). Suppose -15 = k + k + 5*x, a = 4*x + 12. Factor 5*y**3 + 0*y**3 - 3*y**3 + k*y**3.
2*y**3
Let y(b) = -7*b**3 - 7*b**2 - 49*b + 59. Let j(u) = -2*u**3 - u