= 47*j**3 - 868*j**2 + 773*j + 37. Let b(u) = 14*u**3 - 288*u**2 + 258*u + 12. Let k(m) = 11*b(m) - 4*p(m). Suppose k(r) = 0. Calculate r.
-1/17, 1, 8
Let s(p) = -p**2 - 52*p - 667. Let h be s(-29). Let c(v) be the third derivative of 0*v**4 + 0*v + 0 + 7*v**2 - 1/300*v**5 + h*v**3. What is r in c(r) = 0?
0
Suppose 4*v + v - 5*x = 65, 3*x - 1 = -2*v. Let z = -5 + v. Factor -2676*s**4 - 3*s**3 + 4*s**2 + 3*s + 2672*s**4 + s**z - s**5.
-s*(s - 1)*(s + 1)**2*(s + 3)
Suppose 33/2*h - 3/4*h**2 - 63/4 = 0. Calculate h.
1, 21
Let m(w) = -9*w**2 + 15. Let n(c) = 4*c - 10*c**2 - 3*c + 0*c + 16. Let k = 987 + -994. Let r(b) = k*m(b) + 6*n(b). Factor r(s).
3*(s - 1)*(s + 3)
Let b be -4 - 2/6*-6. Let p(w) = -5*w**2 - 61*w - 3. Let u(c) = -5*c**2 - 64*c - 2. Let m(v) = b*p(v) + 3*u(v). Suppose m(q) = 0. Calculate q.
-14, 0
Let n(m) be the third derivative of -m**6/24 + 57*m**5/4 + 865*m**4/12 - 322*m**2 - m + 3. Factor n(h).
-5*h*(h - 173)*(h + 2)
Suppose 2031*c = -479*c + 5020. Determine o, given that 65/3*o**c - 25*o**5 + 85/3*o**3 + 0 - 65/3*o**4 - 10/3*o = 0.
-1, 0, 2/15, 1
Let r(c) be the third derivative of 2 + 0*c + 0*c**3 + 5/6*c**4 + 144*c**2 - 1/12*c**5. Factor r(y).
-5*y*(y - 4)
Let -116/9*n**2 - 4*n + 28/9*n**4 + 52/9*n**3 + 8 = 0. Calculate n.
-3, -6/7, 1
Suppose 52/5*q**2 + 264/5 - 316/5*q = 0. Calculate q.
1, 66/13
Let h(z) be the third derivative of -z**6/1800 - 7*z**5/600 - z**4/12 - 23*z**3/3 - 11*z**2 - 1. Let w(y) be the first derivative of h(y). Factor w(x).
-(x + 2)*(x + 5)/5
What is h in 540*h - 2*h**3 - 111*h + 5*h**3 - 75*h**2 + 507 = 0?
-1, 13
Let z(j) be the second derivative of -j**5/60 - 23*j**4/12 + 38*j**3/9 + 70*j**2 - 5272*j. Factor z(y).
-(y - 3)*(y + 2)*(y + 70)/3
Let p(t) be the second derivative of t + 20*t**2 + 5*t**4 + 4 + 46/3*t**3 + 1/5*t**5 - 2/15*t**6. Solve p(d) = 0 for d.
-2, -1, 5
Let q(v) be the first derivative of 39/2*v**2 + 0*v + 107 + v**3. Factor q(o).
3*o*(o + 13)
What is a in 472702 + 17228*a - 9068*a - 6021502 - 3*a**2 = 0?
1360
Suppose -908*s + 474*s = -422*s - 36. Suppose r - 2*f - 2 = -0*f, -3*f = 0. Suppose -9/2 - 1/2*g**r + s*g = 0. Calculate g.
3
Let u(r) be the third derivative of -3/260*r**6 - 35 + 0*r**3 + 0*r**4 + 1/2184*r**8 + 0*r + 1/455*r**7 + r**2 + 1/78*r**5. Factor u(q).
2*q**2*(q - 1)**2*(q + 5)/13
Let j = -195 + 193. Let w(a) = a**4 + a**3 - a**2 + 1. Let f(s) = -12*s**3 + 20*s**2 - 14*s + 2. Let v(d) = j*w(d) - f(d). Factor v(p).
-2*(p - 2)*(p - 1)**3
Let b(h) = 2*h**5 - 2*h**4 - 60*h**3 + 48*h**2 - 52*h + 26. Let m(u) = u**3 - 3*u**2 + 2*u - 1. Let o(i) = -2*b(i) - 52*m(i). Determine f so that o(f) = 0.
-3, -1, 0, 5
Suppose 28*x - 3*x - x = -42*x. Let l(p) be the third derivative of x*p + 0 - 1/270*p**5 + 4/27*p**3 - 18*p**2 + 0*p**4. Determine a so that l(a) = 0.
-2, 2
Suppose -5*m - b + 13 = 0, 0 = -2*m + 2*b + 2*b + 14. Let a be (-6 - 3)/3 - -9. Factor 4*y**m + a*y**5 + 4*y**4 - 2*y**5 - 12*y**4.
4*y**3*(y - 1)**2
Factor 35156/3*x + 1/3*x**3 - 749/6*x**2 - 34969/6.
(x - 187)**2*(2*x - 1)/6
Let r(s) be the second derivative of 33*s**6/10 + 96*s**5/5 + 17*s**4/4 - 101*s**3 + 36*s**2 - 2*s + 1348. Determine p, given that r(p) = 0.
-3, -2, 4/33, 1
Let v = -13888902841/1839 + 7552422. Let u = v - -3/613. Factor -u*a**3 + 10/3*a**2 + 8/3 - 16/3*a.
-2*(a - 2)**2*(a - 1)/3
Let d = 5258/12915 - 224/1845. Determine n so that -3/7*n**3 - n**5 + 0 - 12/7*n**4 + d*n**2 + 0*n = 0.
-1, 0, 2/7
Let s(h) be the third derivative of -h**6/90 - 2*h**5/15 - h**4/2 - 835*h**2. Factor s(g).
-4*g*(g + 3)**2/3
Suppose 215*i - 222*i = -168. Let v(r) be the second derivative of 0*r**3 + i*r + 1/135*r**6 - 1/54*r**4 + 0*r**2 + 0*r**5 + 0. Factor v(w).
2*w**2*(w - 1)*(w + 1)/9
Suppose -32 = -35*l + 33*l. Let c be -2*((-4)/l - (-27)/(-12)). Suppose 3*d**5 + 0*d**c - 2*d + 4*d**3 - 5*d**5 = 0. What is d?
-1, 0, 1
Let j(o) be the second derivative of -9*o**4/2 - 31*o**3/3 - 4*o**2 - o + 89. Factor j(w).
-2*(w + 1)*(27*w + 4)
Let v(k) be the first derivative of -k**6/60 + 3*k**5/40 + 22*k + 73. Let b(s) be the first derivative of v(s). Determine n, given that b(n) = 0.
0, 3
Factor -3/2*b**3 - 83667 + 498*b**2 - 81663/2*b.
-3*(b - 167)**2*(b + 2)/2
Let z(o) = -552*o**4 - 57*o**3 + 66*o**2 - 66*o - 33. Let a(i) = 69*i**4 + 7*i**3 - 8*i**2 + 8*i + 4. Let w(b) = 33*a(b) + 4*z(b). Let w(f) = 0. Calculate f.
-1/23, 0
Determine a so that 12/5 + 3*a**2 + 36/5*a = 0.
-2, -2/5
Let u = 3/66257 + 530041/331285. What is i in 0 - 28/5*i**2 + u*i = 0?
0, 2/7
Let i be (0 - 0)*429/(-6006). Let n(a) be the second derivative of 4/3*a**3 - 3/10*a**5 - 44*a + 0*a**2 + 1/15*a**6 + 0*a**4 + i. Suppose n(h) = 0. What is h?
-1, 0, 2
Let s = 1548 + -1545. Let w be ((-30)/(-8) - s)/((-9)/(-64)). Solve -2/3*c**2 + w*c - 2/3*c**3 + 8 = 0 for c.
-2, 3
Suppose 202*w**2 + 5*w**5 + 2626*w**4 - 2*w + 98*w - 2649*w**4 - 50*w**3 + 22*w**2 = 0. What is w?
-3, -2/5, 0, 4
Let u(l) = -7*l - 96. Let n be u(-14). Let g be 2/4*(-5 - (-7 + n)). Factor 2/21*w**3 + g*w + 0 - 4/21*w**2.
2*w**2*(w - 2)/21
Let m be 6*14/140 - (0 + (-24)/10). Let t(r) be the first derivative of -m - 1/21*r**6 + 0*r**5 + 0*r + 1/14*r**4 + 0*r**2 + 0*r**3. Factor t(o).
-2*o**3*(o - 1)*(o + 1)/7
Let a(y) be the third derivative of -15/8*y**4 - 1/42*y**7 - 5/4*y**5 + 0*y - 7/24*y**6 + 0 + 74*y**2 + 0*y**3. Suppose a(o) = 0. What is o?
-3, -1, 0
Let v(y) be the second derivative of -y**4/18 - 344*y**3/9 - 29584*y**2/3 - 79*y - 14. Suppose v(d) = 0. What is d?
-172
Solve -238 - 136*g**2 + 363*g**2 + 28*g + 58 - 102*g**2 - 126*g**2 = 0 for g.
10, 18
Let s(k) be the first derivative of -3/5*k**2 - 1/5*k**3 - 3/5*k - 108. Factor s(p).
-3*(p + 1)**2/5
Let x be (62/6 - 7)*36/5. Let h = x + 8. Factor 139 - 2*a**2 + 4*a**2 - 11 + h*a.
2*(a + 8)**2
Let a(g) be the third derivative of 0*g - 13/2*g**3 + 138*g**2 + 0 + 139/60*g**5 - 193/48*g**4 - 7/240*g**6. Factor a(u).
-(u - 39)*(u - 1)*(7*u + 2)/2
Let n(c) = c**2 + 4*c - 20. Let t be n(-7). Let l be (5 + 9)*t/2. Factor 2*j**3 - 20*j + 6*j**2 + 14*j**2 - l*j**3.
-5*j*(j - 2)**2
Suppose 9*k - 21*k = 228. Let q(u) = -u**3 - 18*u**2 + 22*u + 59. Let t be q(k). Factor -3/5*f - 1/5*f**t + 4/5.
-(f - 1)*(f + 4)/5
Factor 1/2*p**2 + 225/2*p + 442.
(p + 4)*(p + 221)/2
Factor 259/5*l - 1/5*l**3 - 128/5*l**2 - 26.
-(l - 1)**2*(l + 130)/5
Suppose 9278116/3 - 12184/3*l + 4/3*l**2 = 0. Calculate l.
1523
Determine d, given that -82/3*d + 2/3*d**3 + 14/3*d**2 + 22 = 0.
-11, 1, 3
Let u(p) be the second derivative of 5*p**7/126 - 7*p**6/3 + 47*p**5/3 + 6410*p**4/9 + 16640*p**3/3 + 54080*p**2/3 - 11*p + 112. Solve u(n) = 0 for n.
-4, -2, 26
Let d(t) be the second derivative of -t**5/180 - 5*t**4/9 - 13*t**3/6 - 75*t**2/2 - 56*t. Let b(h) be the first derivative of d(h). Factor b(k).
-(k + 1)*(k + 39)/3
Let a(s) be the second derivative of -s**7/189 - 14*s**6/135 - 2*s**5/3 - 52*s**4/27 - 64*s**3/27 - 95*s. Factor a(u).
-2*u*(u + 2)**3*(u + 8)/9
Let i(r) be the second derivative of r**5/130 + r**4/13 + r**3/13 - 10*r**2/13 + 8*r - 1. Factor i(m).
2*(m - 1)*(m + 2)*(m + 5)/13
Find k, given that 2/25*k**4 - 218/25*k + 2/25*k**3 - 28/5 - 78/25*k**2 = 0.
-5, -2, -1, 7
Let s(f) be the second derivative of -f**4/3 + 6*f**3 + 224*f**2 - f - 412. Factor s(n).
-4*(n - 16)*(n + 7)
Let h(r) be the second derivative of -r**6/10 - 567*r**5/20 + 95*r**4/2 + 2*r + 2831. Suppose h(c) = 0. Calculate c.
-190, 0, 1
Factor 6/7*i + 2/7*i**3 + 6/7*i**2 + 2/7.
2*(i + 1)**3/7
Let i(q) = 3*q**3 - 6*q**2 + 12. Let l be i(2). Factor l*m**2 + 2*m**3 - 3*m**2 - 7*m**2 - 40*m.
2*m*(m - 4)*(m + 5)
Let p(y) be the second derivative of -y**4/3 + 16*y**3 + 50*y**2 - 1428*y. Factor p(n).
-4*(n - 25)*(n + 1)
Suppose -9*r + 8*r = 7. Let x be (48/56)/(4*(-1)/r). Determine s so that 6 + 6*s - x*s**3 - 3/2*s**2 = 0.
-2, -1, 2
Let t = -231 + 233. Solve t*g**2 - 33 + 0*g - 4*g - 5*g - 47 + 3*g = 0 for g.
-5, 8
Let f(u) = 2*u**2 - 60*u + 81. Let t be f(28). Let h(p) = -p**2 - 30*p + 31. Let b be h(t). Factor 1/5*c**5 - 1/5*c**3 + 0 + 0*c**4 + 0*c**2 + b*c.
c**3*(c - 1)*(c + 1)/5
Let r(f) be the second derivative of f**6/10 - 1231*f**5/20 + 34*f**4 + 410*f**3/3 + 70*f + 5. Factor r(x).
x*(x - 410)*(x - 1)*(3*x + 2)
Let h = -106/41 + 995/369. Let u(f) be the second derivative of 1/45*f**6 - h*f**4 + 1/