5 - g**6/3 - 51*g**2/2 + 2*g - 22. Let y(c) be the first derivative of u(c). Factor y(i).
4*i**3*(i - 2)*(i + 5)
Let x(f) = -83*f - 579. Let q be x(-7). Let s(o) be the first derivative of 0*o - 1/4*o**3 + 1/4*o**q + 1/16*o**4 - 11. Factor s(r).
r*(r - 2)*(r - 1)/4
Let t(l) be the first derivative of -l**6/33 - 14*l**5/55 + l**4/22 + 86*l**3/33 - 72*l/11 - 5797. Find b, given that t(b) = 0.
-6, -3, -1, 1, 2
Let c(v) be the second derivative of v**4/12 - 232*v**3/3 - 466*v**2 - 5771*v. Factor c(o).
(o - 466)*(o + 2)
Let y be ((-52)/(-6))/(-2*(-2)/(-18)). Let q = 51 + y. What is h in -41*h**2 + 5 - 1 + 25*h**4 + q*h - 57*h**3 + 12*h**4 + 45*h**5 = 0?
-1, -2/9, 2/5, 1
Let a(n) be the first derivative of -2*n**3/3 + 210*n**2 - 418*n + 1369. Factor a(k).
-2*(k - 209)*(k - 1)
Let i(u) = 27*u**2 + 48*u - 776. Let s(l) = 10*l**2 + 15*l - 259. Let j(o) = 3*i(o) - 8*s(o). Let j(d) = 0. Calculate d.
-32, 8
Let f(m) be the third derivative of 0 - 1/10*m**6 - 1/420*m**7 - 143/120*m**5 + 1/2*m**4 + 12*m**3 - 5*m - 9*m**2. Factor f(t).
-(t - 1)*(t + 1)*(t + 12)**2/2
Let s(t) be the first derivative of t**6/21 + 32*t**5/7 + 716*t**4/7 - 640*t**3 + 1008*t**2 + 4079. Factor s(x).
2*x*(x - 2)**2*(x + 42)**2/7
Suppose -91 = a - 5*q, 0 = -19*a - 211*q + 209*q + 114. Find m such that 47/2*m**3 + 7 + 53/2*m + 75/2*m**2 + 11/2*m**a = 0.
-14/11, -1
Let g(n) be the second derivative of 0*n**3 + 1/3*n**4 + 2/15*n**6 + 0 + 243*n - 2/5*n**5 + 0*n**2. Factor g(h).
4*h**2*(h - 1)**2
Let z = 87 - 0. Let b = 90 - z. What is p in 3*p**b - p + 71*p**2 - 65*p**2 - 3*p + p - 6 = 0?
-2, -1, 1
Let z = 5888 + -847. Factor 5047*s - 1 + 1 - z*s - 6*s**3 - 16*s**2.
-2*s*(s + 3)*(3*s - 1)
Suppose 0 = -2*v + 2*n + 12, 4*v - 4*n = v + 22. Determine x so that 3 - 2*x**v + 5 + 6*x**2 + 15*x - 3*x = 0.
-2, -1
Let n(p) = 3*p**2 + 29*p - 57. Let u be n(2). Let a be ((-6)/4)/(u/((-1144)/33)). Let -1/3*b**a - 1/3 + 1/2*b + 1/2*b**5 - b**3 + 2/3*b**2 = 0. What is b?
-1, 2/3, 1
Factor 0 + 0*z + 9/2*z**4 - z**3 + 0*z**2.
z**3*(9*z - 2)/2
What is h in -6912 + 13/3*h**4 + 253/3*h**3 - 1/3*h**5 - 1777/3*h**2 - 7584*h = 0?
-9, -1, 16
Let j(y) = 16*y**3 - 1000*y**2 + 62536*y + 12. Let r(h) = h**3 + 3*h + 1. Let i(x) = j(x) - 12*r(x). Let i(g) = 0. What is g?
0, 125
Let c = -1171 + 1173. Suppose 3*g - 6 = 5*f, -6*f = -9*f + g - c. Factor f + 15/4*a**3 + 0*a - 3/4*a**5 - 3/4*a**4 - 9/4*a**2.
-3*a**2*(a - 1)**2*(a + 3)/4
Factor 2/9*m**3 - 26/3*m**2 - 530/9*m - 50.
2*(m - 45)*(m + 1)*(m + 5)/9
Let y be 5 - (-122842)/(-102)*12/(-13). Let q = -1115 + y. Let 18/13*g**3 - 32/13*g - 8/13 + q*g**2 = 0. Calculate g.
-2, -2/9, 1
Let o(j) be the second derivative of -j**6/135 - j**5/30 + 2*j**4/27 + 4*j**3/9 - 315*j. Factor o(u).
-2*u*(u - 2)*(u + 2)*(u + 3)/9
Let v = 11/6 - 7/6. Let c be (57 + (-202)/4)*16/156. Suppose 8/3*q**2 - 8/3 + c*q**3 - v*q = 0. What is q?
-4, -1, 1
Let y(d) = -d**2 - 6*d + 29. Let u be y(-9). Solve -47 - b + 29 + 29*b - 4*b - 8*b**u = 0.
3/2
Let b = 136563 - 823607/6. Let z = b + 705. Solve -1/3*q**2 + 1/3 - 1/6*q**3 + z*q = 0.
-2, -1, 1
Determine h, given that 58/13*h**2 + 2/13*h**3 - 352/13*h - 408/13 = 0.
-34, -1, 6
Let d(u) = -53*u**2 + u + 1. Let s(c) = 263*c**2 + 237*c - 1385. Let k(p) = 5*d(p) + s(p). Factor k(y).
-2*(y - 115)*(y - 6)
Let j(l) = -l + 30. Let r be j(17). What is k in 49 - 2*k**3 - k**2 + 21*k**2 - 54*k - r = 0?
1, 3, 6
Let s(u) be the first derivative of u**3/7 - 27*u**2/14 + 54*u/7 + 279. Factor s(n).
3*(n - 6)*(n - 3)/7
Let c(q) be the second derivative of 8/21*q**7 + 5/3*q**4 + 0 + 46*q - 2/3*q**3 - 3/5*q**5 + 0*q**2 - 2/3*q**6. Determine k so that c(k) = 0.
-1, 0, 1/4, 1
Determine l so that 110*l - 71*l**4 - 67*l**4 + 136*l**4 - 7*l**2 - 110*l**3 + 13*l**2 - 4*l**2 = 0.
-55, -1, 0, 1
Let p be 35/15*6/14. Suppose 2*d + p = 7. Find i such that -1/7*i**2 + 0*i + 1/7*i**d + 1/7*i**4 - 1/7*i**5 + 0 = 0.
-1, 0, 1
Let w(n) be the second derivative of -n**7/189 + 4*n**6/27 + 43*n**5/90 + 11*n**4/27 + n - 219. Determine y, given that w(y) = 0.
-1, 0, 22
Let h(n) be the first derivative of -n**4/10 - 16*n**3/15 - 12*n**2/5 - 1068. Factor h(l).
-2*l*(l + 2)*(l + 6)/5
Let a(d) be the second derivative of -d**6/1980 + d**5/330 + 5*d**4/44 - 30*d**3 + 31*d. Let i(n) be the second derivative of a(n). Factor i(c).
-2*(c - 5)*(c + 3)/11
What is g in -39*g - 75/2 - 3/2*g**2 = 0?
-25, -1
Suppose 42*w - 57 = 23*w. Let y be (w + -4)*((-32)/14 - -2). Determine s, given that 0 + y*s**5 + 2/7*s - 4/7*s**3 + 0*s**2 + 0*s**4 = 0.
-1, 0, 1
Let h(m) be the second derivative of -m**6/180 + 113*m**5/120 - 373*m**4/8 + 9295*m**3/36 - 3025*m**2/6 - 8*m + 75. Factor h(a).
-(a - 55)**2*(a - 2)*(a - 1)/6
Let h be 24/9 + -3 + 17 + -26 + 10. Factor 2/9*b + h*b**2 - 2/9*b**3 - 2/3.
-2*(b - 3)*(b - 1)*(b + 1)/9
Let q(h) be the second derivative of 5*h**4/12 - 2065*h**3/6 + 12956*h. Determine v, given that q(v) = 0.
0, 413
Let c = -1/41085 - -136963/534105. Let d(t) be the first derivative of 11/13*t**2 - 39 + 4/13*t + c*t**3. Factor d(k).
2*(k + 2)*(5*k + 1)/13
Suppose 27 - 2 = 5*d. Factor 41*j**5 + d*j - j - 8*j**3 - 37*j**5.
4*j*(j - 1)**2*(j + 1)**2
Suppose 2*p = 5*m + 25, -2*m - 20 = 2*p + 2*m. Let x = -1843 + 1846. Solve -8*s - 2*s**2 - 7*s**2 - 3*s**2 + p*s**3 - 4*s**x = 0.
-2, -1, 0
Suppose 0 = -q - 2*b + 42, 109*b - 85 = -2*q + 106*b. Suppose 0 = -q*w + 58*w. Determine m, given that 0*m**2 + w + m**4 + 1/2*m**3 + 0*m + 1/2*m**5 = 0.
-1, 0
Factor -1/8*z**2 + 0 + 17/8*z + 1/8*z**4 - 17/8*z**3.
z*(z - 17)*(z - 1)*(z + 1)/8
Let k(o) be the third derivative of o**7/315 - 13*o**6/180 + o**5/3 + o**4/9 - 40*o**3/9 + 1053*o**2. Suppose k(m) = 0. What is m?
-1, 2, 10
Suppose -4*v - 19 = 3*b, 16*b + 2*v + 32 = 12*b. Let o be 4/((-24)/9)*12/b. Determine k so that 16/7*k**o + 0 - 16*k**5 - 456/7*k**3 + 32/7*k - 452/7*k**4 = 0.
-2, -2/7, 0, 1/4
Suppose -6*y + 271 - 241 = 0. Find a such that y*a - 5*a + 24*a**4 + 1084*a**3 - 4*a**5 - 548*a**3 - 556*a**3 = 0.
0, 1, 5
Let w = 1154 - 1154. Let f(r) be the third derivative of 8*r**3 + w*r + 0 - 9*r**2 + 7/15*r**5 + 8/3*r**4 + 1/30*r**6. Find c such that f(c) = 0.
-3, -2
Let z = 66842 - 66840. Suppose -16/5 + 49/5*p**5 - 157/5*p**3 + 168/5*p**4 + 108/5*p - 152/5*p**z = 0. What is p?
-4, -1, 2/7, 1
Suppose 6030*x - 14*x**3 - 6030*x - x**4 = 0. Calculate x.
-14, 0
Let m(v) be the first derivative of -v**3/12 - 9*v**2/8 + 35*v/2 - 5. Factor m(c).
-(c - 5)*(c + 14)/4
Let j = -5395889/180 - -29977. Let h = j - -21/20. Suppose 16/9*k + 0 - h*k**4 - 4/9*k**5 + 4/3*k**3 + 32/9*k**2 = 0. Calculate k.
-2, -1, 0, 2
Let j(u) be the third derivative of 1/350*u**7 + 3/50*u**6 + 0*u**5 - 2*u**2 + 0 - 3*u - 1/560*u**8 + 0*u**3 + 0*u**4. Suppose j(m) = 0. What is m?
-3, 0, 4
Suppose -14*y - 208 = -236. Let x(v) be the second derivative of 0*v**3 + 0*v**y + 0*v**6 + 1/24*v**4 + 0 - 11*v - 3/80*v**5 + 1/168*v**7. Factor x(s).
s**2*(s - 1)**2*(s + 2)/4
Factor 0*w - 8/23*w**3 - 2/23*w**4 - 8/23*w**2 + 0.
-2*w**2*(w + 2)**2/23
Let x(h) be the first derivative of 3/16*h**4 + 3/4*h**3 + 13 - 45/4*h - 39/8*h**2. Let x(c) = 0. What is c?
-5, -1, 3
Let v(b) be the second derivative of -1/150*b**6 + 8 + 0*b**3 + 0*b**5 + 4*b + 0*b**2 + 1/210*b**7 + 0*b**4. Solve v(h) = 0.
0, 1
Determine a, given that -253/5*a**3 - 1/5*a**5 - 31/5*a**4 + 0 - 33*a**2 + 90*a = 0.
-15, -2, 0, 1
Let l(b) be the second derivative of -1/30*b**5 + 2*b**3 + 0*b**2 + 163*b + 0 - 7/18*b**4. Determine v, given that l(v) = 0.
-9, 0, 2
Let y = -13 + 15. Let z(p) = 2*p**3 - 3*p**2 - 3*p + 2. Let i be z(y). Find c, given that 1/4*c - 1/8*c**2 + i = 0.
0, 2
Suppose -3*h + 75 = 3*u, -4*h + 19 = 2*u - 41. Let r be 16/2 + -1 + (-5 - -6). Factor 3*i**3 - 14*i**2 - 35*i**3 + u*i**4 + r*i + 18*i**2.
4*i*(i - 1)**2*(5*i + 2)
Let d = 140576/5 + -28112. Factor d*n - 2/5*n**4 + 0 - 4/5*n**3 + 8/5*n**2.
-2*n*(n - 2)*(n + 2)**2/5
Let -39912 - 4161 + 1401 - 133668*t - 10344 - 1267*t**2 - 1559*t**2 - 15*t**3 = 0. What is t?
-94, -2/5
Let h = 3983792/7 + -569113. Find s such that 0 - 11/7*s**4 - 9/7*s**3 - h*s**5 + 11/7*s**2 + 10/7*s = 0.
-10, -1, 0, 1
Let t(o) be the second derivative of -1/60*o**6 + 1/24*o**4 + 1/6*o**3 + 1/84*o**7 + 27 + o + 0*o**2 - 3/40*o**5. Factor t(s).
s*(s - 2)*(s - 1)*(s + 1)**2/2
Let b = -15119/84 - -180.