8 - 7 = 3*h. Let p(g) = -g**2 + g - 1. Let i(z) = 104 + 107 - 321 + 15*z + 105. Let k(s) = h*p(s) + i(s). Factor k(a).
5*a*(a + 2)
Suppose 64*o - 253 = -42*o + 40 + 25. Suppose 57/4*j**3 - 3*j + o - 9/2*j**4 - 39/4*j**2 = 0. What is j?
-1/2, 2/3, 1, 2
Let y = 1193/2490 + -37/83. Let d(s) be the third derivative of y*s**5 + 1/120*s**6 + 0 + 12*s**2 + 0*s**3 + 0*s**4 + 0*s. Factor d(o).
o**2*(o + 2)
Suppose 0 = 31*w - 48*w. Suppose -11*v - 36*v + 47 = w. Solve v - 1/3*c**2 - 2/3*c = 0.
-3, 1
Suppose 796 = -4*p - 2*k, -3*p + 3*k - 575 = -k. Let b = p + 199. Find d, given that 0*d - 3/5 + 3/5*d**b = 0.
-1, 1
Let r(s) be the third derivative of 0 - 1/9*s**4 + 1/1575*s**7 - 7/900*s**6 + 1/25*s**5 + 92*s**2 + 0*s + 8/45*s**3. Factor r(a).
2*(a - 2)**3*(a - 1)/15
Determine n so that -2*n**2 + 288/7*n + 0 - 2/7*n**3 = 0.
-16, 0, 9
Let l(q) be the second derivative of -3*q**5/160 + 9*q**4/32 + 3*q**3 + 39*q**2/4 - 3*q + 459. Solve l(m) = 0.
-2, 13
Let x = 1159 + -1155. Let s(y) = -y**3 - y**2 + y. Let q be s(-2). Let -5*h**q - 4*h + x*h**2 + 6*h + 0*h**2 = 0. What is h?
0, 2
Let n = 101 - 98. Suppose -2 = n*f - 14. Suppose 2*b**3 - 3*b**5 + 24*b**4 - 2*b**5 - 14*b**f - 7*b**3 = 0. What is b?
0, 1
Let w(b) = -85*b**3 - 1435*b**2 + 10*b + 1420. Let l(v) = 11*v**3 + 205*v**2 - v - 203. Let r(t) = 15*l(t) + 2*w(t). Solve r(o) = 0.
-1, 1, 41
Let d(u) be the second derivative of 81*u**7/49 + 18*u**6/7 + 6*u**5/5 + 4*u**4/21 - 728*u. Determine a, given that d(a) = 0.
-2/3, -2/9, 0
Suppose -282*w + 1786 = 260*w - 45*w - 202. Suppose 6/13*b**5 + 28/13*b**2 + 0 + 4/13*b**w - 6/13*b - 32/13*b**3 = 0. What is b?
-3, 0, 1/3, 1
Let g be (-16)/(-20) + 8/(-10). Factor 5*x**2 - 120 + g*x**2 - 11055*x + 10940*x.
5*(x - 24)*(x + 1)
Suppose -7*t + 9*t - 26 = 0. Suppose 4*w - t = -5. Solve p**3 - 172 - 2*p + 172 + 3*p**2 - 2*p**w = 0.
-2, 0, 1
Let o = -1111/30 - -387/10. Let d(g) be the second derivative of o*g**3 + 1/6*g**6 + 0*g**5 - 7*g + 0*g**2 + 0 - 5/4*g**4. Let d(t) = 0. Calculate t.
-2, 0, 1
Let s be ((-94)/8 - (-1)/(-4))*192/(-3456). Factor -7/3*k**3 + s*k + 0 - 5/3*k**2.
-k*(k + 1)*(7*k - 2)/3
Let c(l) = -38*l - 315. Let v be c(-9). Let q(j) = j**3 - 25*j**2 - 54*j + 11. Let n be q(v). Factor -9/2*m + 12*m**2 + 0 - 1/2*m**5 + 4*m**4 - n*m**3.
-m*(m - 3)**2*(m - 1)**2/2
Let z(b) be the third derivative of b**5/12 + 55*b**4/3 - 1100*b**2. Suppose z(u) = 0. Calculate u.
-88, 0
Let b(g) be the second derivative of g**6/135 + 19*g**5/15 + 1003*g**4/18 - 13924*g**3/27 + 2*g + 2538. Solve b(u) = 0.
-59, 0, 4
Let z(i) = 2*i**3 - i**2 + 2*i - 2. Let c(x) = 3*x**4 - 13*x**3 + 11*x**2 + 2*x - 2. Let h(t) = c(t) - z(t). Factor h(w).
3*w**2*(w - 4)*(w - 1)
Let m = -216 + 221. Factor 20*g**4 + 731 - 731 - 20*g**2 + m*g**5 - 20*g + 15*g**3.
5*g*(g - 1)*(g + 1)*(g + 2)**2
Let f = 8930/11 + 47539/44. Factor 73167/4 + 261/4*k**2 + 3/4*k**3 + f*k.
3*(k + 29)**3/4
Let t = 45616/5 + -9123. Let y(a) be the first derivative of -1/6*a**6 + 1/3*a**3 + 1/4*a**4 + 0*a**2 - t*a**5 - 24 + 0*a. Factor y(r).
-r**2*(r - 1)*(r + 1)**2
Let v(y) be the second derivative of y**6/180 + y**5/10 + 2*y**4/3 - 5*y**3/6 + 42*y. Let r(c) be the second derivative of v(c). Factor r(x).
2*(x + 2)*(x + 4)
Let z be -3 + -1*2*(-5)/10. Let m(x) = -x**3 + 57*x**2 - 51*x - 112. Let s(u) = 2*u**3 - 58*u**2 + 50*u + 112. Let q(b) = z*m(b) - 3*s(b). Factor q(v).
-4*(v - 14)*(v - 2)*(v + 1)
Let t be (-840)/1540*(-5)/(-9)*1/(-4). Let f(k) be the third derivative of 0*k - t*k**3 + 0 + 21*k**2 - 1/660*k**5 - 1/44*k**4. Factor f(m).
-(m + 1)*(m + 5)/11
Suppose -x + 14 = -c, c - 3*x - 24 = 4*c. Let i be 2/c - (-13 - (-1390)/110). Factor 8/11 + 10/11*m**2 + i*m**3 + 16/11*m.
2*(m + 1)*(m + 2)**2/11
Let k = 21257/8 - 194101/40. Let p = k - -2197. Factor -4/5*g**3 + 0 - p*g**2 - 4/5*g.
-4*g*(g + 1)**2/5
Suppose -30*b - 1280 = -14*b. Let u be (1/(125/b))/((-6)/30). Find k, given that 0 - u*k**2 + 4/5*k**4 - 16/5*k + 4/5*k**3 = 0.
-2, -1, 0, 2
Solve 2/23*k**3 + 40/23*k**2 + 66/23*k - 108/23 = 0.
-18, -3, 1
Let d(u) = -11*u**3 - 22*u**2 - 160*u + 40. Let s(i) = -5*i**3 + i**2 - 2*i. Let p(b) = d(b) - 3*s(b). What is g in p(g) = 0?
-4, 1/4, 10
Let p(y) be the first derivative of -3/20*y**5 - 5/2*y**3 - 4*y - 4 - 3*y**2 - y**4. Let l(o) be the first derivative of p(o). Determine g, given that l(g) = 0.
-2, -1
Suppose 2*w = -3*m + 4, -m + 6*m - 2*w = 12. Determine c, given that 90*c**2 + c - 3*c**3 - 87*c**m - 2*c + c**4 = 0.
0, 1
Let h = -34826 + 34829. Factor 12/7*s**h + 8/7 + 24/7*s + 2/7*s**4 + 26/7*s**2.
2*(s + 1)**2*(s + 2)**2/7
Let r(f) be the second derivative of -f**5/60 - f**4/6 - f**3/2 + 31*f**2/2 - 10*f. Let c(p) be the first derivative of r(p). Factor c(s).
-(s + 1)*(s + 3)
Let y(g) = g**3 + 9*g**2 + g - 6. Let z be y(-9). Let j be z - -20 - (1 - -1). Factor 0 - 3/10*u - 3/10*u**j + u**2.
-u*(u - 3)*(3*u - 1)/10
Let c(f) = f**3 - 6*f**2 + 3*f - 15. Let k be c(6). Suppose -4*z**2 - 64 + 11*z + k*z + 12*z + 6*z = 0. Calculate z.
4
Let m be (-96 - 2015)/(1 + -2 - -4). Let s = 712 + m. Let -5/3*f**3 + 16/3 - 5/3*f**4 + 40/3*f + 1/3*f**5 + s*f**2 = 0. Calculate f.
-1, 4
Let f(o) be the first derivative of 0*o**3 + 2/45*o**5 + 2/27*o**6 + 13 + 0*o + 0*o**2 + 0*o**4. Factor f(p).
2*p**4*(2*p + 1)/9
Let g(y) be the first derivative of 2*y**5/95 + 91*y**4/38 - 560*y**3/57 + 188*y**2/19 + 2651. Let g(q) = 0. What is q?
-94, 0, 1, 2
Let v(s) be the second derivative of 3*s**6/10 - 331*s**5/20 + 3265*s**4/12 - 9401*s**3/6 - 1127*s**2 - 8754*s. Factor v(p).
(p - 23)*(p - 7)**2*(9*p + 2)
Let l = 5 + 5. Let w = -4007 - -4009. Let -l*y**3 - 2 + 39*y**w + 2 + 13*y**3 = 0. Calculate y.
-13, 0
Let l(t) be the second derivative of -t**7/168 + t**6/120 + t**5/4 + t**4/3 - 8*t**3/3 - 10*t**2 - 112*t - 5. Factor l(x).
-(x - 5)*(x - 2)*(x + 2)**3/4
Let n(q) be the second derivative of -2*q**3 + 4*q - 1 - 1/6*q**4 + 7*q**2. Factor n(t).
-2*(t - 1)*(t + 7)
Suppose -145 = 6*b - b - 5*o, 5*o - 117 = 4*b. Let z = b + 32. Let -28*k**5 + 8 - 8 + 4*k**5 + 28*k**3 - 20*k**2 - z*k + 20*k**4 = 0. What is k?
-1, -1/6, 0, 1
Let g(h) be the first derivative of h**4/8 - 95*h**3/6 - 193*h**2/4 - 97*h/2 + 1437. Factor g(i).
(i - 97)*(i + 1)**2/2
Let b be (7 + -3)*(-5 - -21). Let i = b - 62. Factor 5*r**3 + 11*r**2 - 2*r**i - 4*r**2.
5*r**2*(r + 1)
Factor 46656 + 236911*x**2 + 280368*x + 9*x**4 + 27328*x**3 - 23434*x**3 + 185586*x**2.
(x + 216)**2*(3*x + 1)**2
Let q(s) be the third derivative of s**5/60 + 1795*s**4/12 + 3222025*s**3/6 + 4*s**2 - 368. Determine m so that q(m) = 0.
-1795
Let d be (2 - ((9 - 8) + 0)) + (-10)/12. Let i(v) be the second derivative of 1/6*v**2 - d*v**3 + 0 - 1/60*v**5 + 1/12*v**4 - 8*v. Factor i(f).
-(f - 1)**3/3
Let d(h) be the first derivative of h**3/9 - 11*h**2/3 + 1126. Suppose d(v) = 0. What is v?
0, 22
Let u = -28 - -36. Let f be (0 - 2)*(-20)/u. Factor -f*h**2 + 3 + 5 - 8 + 5.
-5*(h - 1)*(h + 1)
Let x(s) be the first derivative of 30*s**2 - 10/3*s**3 + s**5 - 5*s**4 - 61 + 45*s. Factor x(w).
5*(w - 3)**2*(w + 1)**2
Let g be (-10)/10 + 1*-11. Let q = 1 - g. Factor -6*m**3 - 96*m**2 - 6 - 108*m**3 - 66*m**4 - q*m**5 - 2*m**5 - 39*m.
-3*(m + 1)**4*(5*m + 2)
Let c(f) be the third derivative of -f**6/24 - 31*f**5/4 - 525*f**4 - 13230*f**3 - 5250*f**2 - 2*f. Find i such that c(i) = 0.
-42, -9
Suppose 0 = 5*p - u - 13, -2*p - 25 = 3*u - 20. Factor -160*t**p - 73*t**3 + 31*t**3 - 38 + 34*t**3 - 154*t.
-2*(t + 19)*(2*t + 1)**2
Let x = 717272 + -717268. Factor 1/3*y**x + 0 - 7/3*y**2 + 4/3*y + 2/3*y**3.
y*(y - 1)**2*(y + 4)/3
Let z(i) be the second derivative of 0*i**2 + 18 - i + 1/6*i**6 - 7/4*i**4 + 1/42*i**7 - 3*i**3 + 1/20*i**5. Find l, given that z(l) = 0.
-3, -1, 0, 2
Factor 0 - 11/4*g**4 - 81/4*g**2 + 1/4*g**5 + 45/4*g**3 + 27/2*g.
g*(g - 3)**3*(g - 2)/4
Factor -3306/5*v**2 - 1/5*v**3 - 1338273208/5 - 3643212/5*v.
-(v + 1102)**3/5
Let u(n) be the third derivative of n**8/13440 + n**7/420 + n**6/40 + n**4 + 24*n**2. Let x(y) be the second derivative of u(y). Factor x(i).
i*(i + 6)**2/2
Let c(o) be the third derivative of -o**6/840 - 3*o**5/35 + 121*o**4/168 + 26*o**3/7 - 384*o**2 - 2. Factor c(x).
-(x - 4)*(x + 1)*(x + 39)/7
Let z(b) be the second derivative of b**4/3 - 772*b**3 + 670482*b**2 - 5417*b. Determine y, given th