7*b**3 - 35/9*b**2 - b + 1/54*b**4. Factor g(r).
2*(r - 1)*(r + 35)/9
Let l = 95/2184 + -1/39. Let z(o) be the third derivative of 0*o**3 + 6*o**2 - 1/784*o**8 + 0*o + 0*o**6 + 0 - 1/70*o**5 + 1/245*o**7 + l*o**4. Factor z(k).
-3*k*(k - 1)**3*(k + 1)/7
Suppose -k = -4*g + 36, g + 4*k = 2*k. Let h be (-3 - (-28)/g)/(0 - -1). Solve -1 - h*p**3 + 3/2*p + 0*p**2 = 0 for p.
-2, 1
Determine a, given that 22/7*a**2 - 86/7*a + 8/7*a**3 + 20/7 = 0.
-5, 1/4, 2
Let j(o) = -5*o + 3. Let m be j(1). Let y be (-1)/(-2) - 3/m. Factor -2 + t - 2*t**2 + 3*t**2 + 0 - y*t.
(t - 2)*(t + 1)
Let s(a) be the second derivative of a**6/6 + 5*a**5/4 - 10*a**4 + a - 3829. Factor s(x).
5*x**2*(x - 3)*(x + 8)
Let o(s) be the second derivative of s**5/20 - 3*s**4/8 + 81*s**2/2 - 95*s. Let m(n) be the first derivative of o(n). Solve m(k) = 0 for k.
0, 3
Suppose 1813*a - 12698 = -1048*a - 1254. Solve -12/5*p**3 + 2/5*p**a + 0*p**2 + 44/5*p + 6 = 0.
-1, 3, 5
Let q be (1 + 30/12)/((-11613)/(-2844)). Determine u, given that -58/7*u + 20/7 - q*u**2 = 0.
-10, 1/3
Determine x, given that -842518*x**2 - 108 + 60*x + 30*x**3 - 240*x - 3*x**4 + 842479*x**2 = 0.
-1, 6
Let b(j) be the third derivative of j**7/840 - 31*j**6/120 + 961*j**5/40 - 14*j**4/3 - j**2 - 25*j. Let k(u) be the second derivative of b(u). Factor k(w).
3*(w - 31)**2
Factor 8181*s - 8431*s - 5*s**2 - 237 - 243.
-5*(s + 2)*(s + 48)
Let z(c) be the third derivative of -1/840*c**7 + 0*c + 0 + 0*c**4 + 1/160*c**6 + 0*c**5 + 27*c**2 + 0*c**3. Find m such that z(m) = 0.
0, 3
Let x(o) be the first derivative of -169*o**7/210 - 13*o**6/9 - 5*o**5/6 + 13*o**3 - 92. Let b(y) be the third derivative of x(y). Factor b(z).
-4*z*(13*z + 5)**2
Suppose a - 5*c = -9, -5*a - 7 + 6 = -3*c. Suppose 25*r**2 - 27*r**2 + 3 - a = 0. What is r?
-1, 1
Let n(f) be the third derivative of -15/2*f**3 + 0 + 5/4*f**4 - 22*f**2 - 1/12*f**5 + 0*f. Factor n(g).
-5*(g - 3)**2
Suppose -i - 23 = -5*o, 40*o = 42*o + 4*i - 18. Let y(a) be the second derivative of 13*a - 1/21*a**4 + 0 + 1/21*a**3 + 1/70*a**o + 0*a**2. Factor y(q).
2*q*(q - 1)**2/7
Let o(n) = n**3 + 2*n**2 - 14*n - 1. Let x(p) = p**4 + 11*p**3 - 122*p**2 + 354*p - 389. Let c(m) = 5*o(m) - x(m). Factor c(a).
-(a - 6)*(a - 2)**2*(a + 16)
Factor 1195*v - 542 + 2270 - 128*v**2 + v**3 - 571*v - 5*v**3.
-4*(v - 6)*(v + 2)*(v + 36)
Suppose 5*k = -g + 1025, -g + 1035 = 5*k + 2*g. What is t in 25*t - 232*t**3 + 24*t + 216*t**3 + 3*t - k*t**2 = 0?
-13, 0, 1/4
Let s(h) = -3*h**2 + 50*h + 533. Let g be 6 + -4 + -3 + 6. Let w(y) = -4*y**2 + 51*y + 534. Let f(a) = g*s(a) - 4*w(a). Factor f(k).
(k + 23)**2
Let b(t) = 3*t - 108. Suppose 89*x - 1147 = 58*x. Let q be b(x). Solve -1/5*l**q - 9/5 - 3/5*l + l**2 = 0.
-1, 3
Suppose 3*y + 2*s - 4 = 0, 3*s = -0*y + y - 5. Let h = 309447/3580 + -168/895. What is g in -3/2 + 9/8*g**3 - 273/8*g**y + h*g**4 + 63*g**5 - 27/2*g = 0?
-1, -1/2, -2/7, -1/4, 2/3
Let x = 5429/703 + -276/37. Let s(q) be the first derivative of 6 - 2/95*q**5 - 22/19*q**3 + x*q**4 + 40/19*q**2 - 32/19*q. Let s(i) = 0. Calculate i.
1, 4
Suppose 74 = -6*t + 10*t - 2*a, 0 = 5*t + 5*a - 115. Let d be ((-13)/((-2925)/t))/((-4)/(-110)). Factor d*u + 2/9*u**3 + 10/9 + 14/9*u**2.
2*(u + 1)**2*(u + 5)/9
Factor 2/9*z**3 + 52/9*z**2 + 46/3*z + 0.
2*z*(z + 3)*(z + 23)/9
Let t = 7459/26546 + -12/1021. Let s(j) be the second derivative of -5*j + t*j**4 + 0 - 49/130*j**5 + 8/13*j**3 + 4/13*j**2. Solve s(m) = 0.
-2/7, 1
Let z(l) = -2*l**2 - 5*l - 6. Let f be z(-2). Let j be (-1)/((-16)/(-12))*f. Factor 4*q**3 + q**4 - q**2 + 2*q**3 - q**5 + 4*q**3 - 9*q**j.
-q**2*(q - 1)**2*(q + 1)
Let p(y) be the second derivative of y**7/210 + y**6/50 - 9*y**5/25 - 7*y**4/3 + 16*y**3/5 + 288*y**2/5 + 16*y - 22. Let p(u) = 0. Calculate u.
-4, -3, 2, 6
Let q(x) be the third derivative of -13*x**5/150 - 9*x**4/20 + 8*x**3/3 + 91*x**2 - 3. Factor q(j).
-2*(j - 1)*(13*j + 40)/5
Let h(r) be the second derivative of 1075/12*r**4 + 1/84*r**7 + 0 + 882*r**2 - 3/5*r**6 - 87*r + 413*r**3 + 201/40*r**5. Let h(l) = 0. Calculate l.
-2, 21
Suppose -5*f = -5*c + 10, 3*f + f - 2*c = 2. Suppose -2*m = f*r - 37, -3*r - m = -23 - 12. Factor 2*b**4 + 7*b - 15*b**3 + 4*b**2 - 12*b + 3*b**4 + r*b**2.
5*b*(b - 1)**3
Let p be 4/14*1687/8676. Let x(m) be the second derivative of -4/3*m**2 + p*m**4 - 36*m + 1/30*m**5 - 4/9*m**3 + 0. Suppose x(q) = 0. What is q?
-2, -1, 2
Let u(i) be the first derivative of -i**2 + 2*i + 84 - 19/6*i**3 - 3/10*i**5 - 7/4*i**4. Determine k so that u(k) = 0.
-2, -1, 1/3
Let x(i) be the first derivative of -i**6/150 - i**5/75 - i**4/120 + 2*i**2 - 5*i + 48. Let c(p) be the second derivative of x(p). Factor c(g).
-g*(2*g + 1)**2/5
Let v = -49598/51 - -16544/17. What is u in -5/6*u**3 - 1/6*u**4 + 0 - 4/3*u**2 - v*u = 0?
-2, -1, 0
Factor -699/2 - 3/2*p**2 + 11187/8*p.
-3*(p - 932)*(4*p - 1)/8
Let -2*c**3 + 23696*c - 10808*c - 11878*c - 896 - 112*c**2 = 0. What is c?
-64, 1, 7
Let l(u) be the first derivative of -18*u**3 + 1731*u**2/4 - 24*u - 7510. Factor l(c).
-3*(c - 16)*(36*c - 1)/2
Let r(c) = -25*c**4 + 1625*c**3 - 7300*c**2 + 10700*c - 5200. Let k(a) = 2*a**4 - 125*a**3 + 561*a**2 - 823*a + 400. Let u(b) = -40*k(b) - 3*r(b). Factor u(j).
-5*(j - 20)*(j - 2)**2*(j - 1)
Let r(c) be the second derivative of -c**4/48 + 37*c**3/4 - 12321*c**2/8 - 192*c. Find j such that r(j) = 0.
111
Let f(p) = p**3 - p**2 + 1. Let i(h) = -4 + 80 - 104*h + 72*h**2 + 5*h**3 - 24*h - 21*h**3. Let n(o) = -4*f(o) - i(o). Determine q so that n(q) = 0.
5/3, 2
Let i(c) be the first derivative of 0*c + 0*c**2 + 2/63*c**3 - 1/3*c**4 + 26/105*c**5 - 54. Factor i(o).
2*o**2*(o - 1)*(13*o - 1)/21
Let h = -277444/7 + 39637. Let -h*d - 3/7*d**2 - 18/7 = 0. What is d?
-3, -2
Let u = -718 - -720. Find d such that 150*d**u + 45*d - 68*d**2 + 363*d - 79*d**2 + 13872 = 0.
-68
Let j(r) = -50*r + 1505. Let l be j(30). Let a(s) be the third derivative of -s**2 + 5/84*s**4 + 0*s + 2/7*s**3 + 0 + 1/210*s**l. Solve a(w) = 0 for w.
-3, -2
Factor -30/7*t - 3/7*t**2 + 72/7.
-3*(t - 2)*(t + 12)/7
Let n(i) be the third derivative of 3*i**7/140 - 17*i**6/240 + 7*i**5/120 + i**4/48 + 1537*i**2. Factor n(w).
w*(w - 1)**2*(9*w + 1)/2
Find l, given that -4*l**4 - 40*l**3 - 19*l**3 - 660*l**2 - 40 + 40 - 1400*l - 37*l**3 = 0.
-14, -5, 0
Let o(l) be the first derivative of 11*l**4/6 + 7*l**3 - 36*l**2 - 88*l - 264. Let c(y) be the first derivative of o(y). Factor c(k).
2*(k + 3)*(11*k - 12)
Factor -37749*w**2 - 1332 + 75482*w**2 - 37758*w**2 + w**3 - 408*w.
(w - 37)*(w + 6)**2
Let c = 983 + -981. Let p(y) be the first derivative of -1/5*y**5 - 6 - 1/3*y**3 + 0*y + 1/2*y**4 + 0*y**c. Determine g so that p(g) = 0.
0, 1
Let v be 22 + 2*-1 + (-12)/6. Solve -5*s - 17*s**2 - v*s**2 + 15 - 2 + 22 + 5*s**3 = 0.
-1, 1, 7
Let t(r) be the first derivative of -r**6/57 + 12*r**5/95 + 8*r**4/19 + 4*r**3/57 - 15*r**2/19 - 16*r/19 - 1199. Solve t(a) = 0.
-1, 1, 8
Let r(f) = 41*f - 248. Let l be r(6). Let t(p) = 505*p**2 - 570*p + 65. Let i(v) = -23*v**2 + 26*v - 3. Let o(u) = l*t(u) - 45*i(u). Factor o(h).
5*(h - 1)*(5*h - 1)
Let o(l) be the first derivative of -104/9*l**3 + 0*l - 32 + 1/6*l**4 + 0*l**2. Factor o(j).
2*j**2*(j - 52)/3
Let b(r) = 0 + 53*r + 1135*r**3 - 164 + 4*r**2 - 1136*r**3. Let s be b(3). Factor -s*x - 2*x**3 + 5/4 + 1/4*x**4 + 9/2*x**2.
(x - 5)*(x - 1)**3/4
Factor 45/2*p**3 + 0 + 1/2*p**5 + 0*p - 25*p**2 - 6*p**4.
p**2*(p - 5)**2*(p - 2)/2
Let k(r) = -r**3 + 2*r**2 - 3. Let h = -66 + 68. Suppose -9 = 6*i - 5*i + h*q, -2*i + q = -2. Let g(v) = v + 1. Let n(y) = i*k(y) - 3*g(y). Solve n(d) = 0.
-1, 0, 3
Let g(h) = -4*h**4 - h**3 - h**2 - 2. Let o(a) = -13*a**4 + a**3 - 8*a**2 + 2*a - 6. Let v(i) = -3*g(i) + o(i). Let v(u) = 0. What is u?
0, 1, 2
Let z be (-29)/(290/(-20))*1. Let b(h) be the second derivative of 0*h**z + 1/6*h**3 + 14*h + 0 + 1/24*h**4. Let b(q) = 0. Calculate q.
-2, 0
Suppose -399 = 58*d - 65*d. Determine u, given that 3*u**2 - 28*u + 47 - d + 3*u**2 = 0.
-1/3, 5
Let a(o) be the first derivative of -1/6*o**3 - 1/4*o**2 + 1/2*o + 1/8*o**4 + 55. Factor a(l).
(l - 1)**2*(l + 1)/2
Let o be 64 + -60 - -9*11. Suppose 22*u + 369 - 369 - 44*u - o*u + 5*u**2 = 0. Calculate u.
0, 25
Let m(r) be the first derivative of r**5/20 - 39*r**4/16 - 31*r**3/3 - 21*r**2/2 +