 - 535*v - 675. Let k be s(6). Factor -15000/7*g**2 - 1562500/7 - 400/7*g**k - 250000/7*g - 4/7*g**4.
-4*(g + 25)**4/7
Let 3/7*u**3 + 213/7*u - 111/7*u**2 - 15 = 0. What is u?
1, 35
Suppose 0 = r - 23*l + 207, -5*l - 142 = -5*r - 187. Factor 5/2*p**3 + 1/8*p**4 + r*p + 0 + 25/2*p**2.
p**2*(p + 10)**2/8
Let z(l) = l**3 - 4*l**2 - 12*l. Let u be z(6). Suppose 12 + u = 3*h + 5*g, 4*h = -4*g + 16. Factor -4*o**4 + 4*o + 5*o + 3*o**2 + 0*o**2 + o**h - 9*o**3.
-3*o*(o - 1)*(o + 1)*(o + 3)
Let j be 9/(-10 - 319/(-22)). Factor -2/3*t**5 + j*t**4 - 4/3*t**3 - 2/3 - 4/3*t**2 + 2*t.
-2*(t - 1)**4*(t + 1)/3
Let z = -95015 - -95019. Suppose 0*h + 0 - 5/3*h**3 - h**2 - 1/3*h**z + 1/3*h**5 = 0. What is h?
-1, 0, 3
Solve 27 - 4*p + 4*p**3 + 20 + 46 + 35 - 50*p**2 - 78*p**2 = 0.
-1, 1, 32
Suppose 4*q + b - 8 = 0, -1088*q + 1085*q + 3*b - 24 = 0. Determine u so that -4/3*u**3 + q*u - 2/3*u**4 + 0 + 0*u**2 = 0.
-2, 0
Let o(h) = -3*h - 36. Let a be o(-13). Suppose -4*f = f. Factor f*d**2 + 1 - a*d + 0 + d**2 + d.
(d - 1)**2
Let m = 2/28871 + 346430/317581. Solve m*w - 2/11*w**2 + 14/11 = 0 for w.
-1, 7
Let b(h) = -9*h**3 - 227*h**2 + 399*h - 162. Let f(u) = -u**2. Let l(t) = b(t) + f(t). Factor l(x).
-3*(x - 1)*(x + 27)*(3*x - 2)
Let s be (0 + 4/16*-4)*-21. Suppose -s*a + 34 = -4*a. Factor -2/3 - 5/3*u**3 - 3*u**a - 1/3*u**4 - 7/3*u.
-(u + 1)**3*(u + 2)/3
Let r(h) be the second derivative of -33/7*h**2 - 15*h + 1/42*h**4 + 0 - 32/21*h**3. Factor r(x).
2*(x - 33)*(x + 1)/7
Let -2255*l + 5/2*l**2 + 1017005/2 = 0. Calculate l.
451
Let u(g) be the second derivative of -g**6/285 + 12*g**5/95 - 40*g**4/57 - 1862*g + 2. Factor u(f).
-2*f**2*(f - 20)*(f - 4)/19
Let m(w) = -778 + 17*w - 837 - w**2 - 3*w + 1577. Let x be m(4). Let 5/3*t**x + 10/3*t - 5 = 0. What is t?
-3, 1
Factor 144/17 + 44/17*u + 2/17*u**2.
2*(u + 4)*(u + 18)/17
Solve 8312/9*j + 2/9*j**2 + 8636168/9 = 0.
-2078
Factor 2400 + 163/8*j**2 - 1/8*j**3 - 860*j.
-(j - 80)**2*(j - 3)/8
Let z(g) be the second derivative of 7/40*g**5 + 0*g**2 + 0 + 257*g - 47/40*g**4 + 3/10*g**3 + 1/28*g**7 + 73/300*g**6. Solve z(p) = 0.
-3, 0, 2/15, 1
Let p(z) = -11*z**4 + 85*z**3 + 5*z**2 - 88*z - 3. Let u(y) = -8*y**4 + 86*y**3 + 4*y**2 - 88*y - 2. Let n(w) = 2*p(w) - 3*u(w). Suppose n(k) = 0. Calculate k.
-1, 0, 1, 44
Let g = 449 + -162. Suppose 6*a - g = -89. Factor -2*j**2 - 32 + a + 3*j**2 - 2*j**2.
-(j - 1)*(j + 1)
Let g be (0 + -6 + 6/1)*77/154. Determine r, given that g*r + 4/3 - 1/3*r**2 = 0.
-2, 2
Let -161*b + 3*b**2 + 55829 + 168*b - 2*b**2 - 523*b + 10735 = 0. Calculate b.
258
Let w(f) be the first derivative of -3/4*f**4 - 2*f**3 + 102 - 3/2*f**2 + 0*f. Factor w(b).
-3*b*(b + 1)**2
Let h be 1177*10/2310 + 3 + (-195)/63. Let y(v) be the third derivative of 0 + 10/3*v**3 + v**4 - 29*v**2 + 1/15*v**h + 0*v. Find m such that y(m) = 0.
-5, -1
Let y(s) = 10*s**2 - 370*s + 335. Let x(g) = g**2 - 46*g + 42. Let a(d) = 25*x(d) - 3*y(d). Determine b so that a(b) = 0.
-9, 1
Let p = 2 - 2. Suppose 0 = o + u - 2397 + 2398, 4*u + 4 = 0. Factor -3/2*j**5 + o*j - 6*j**4 + 0*j**2 - 9/2*j**3 + p.
-3*j**3*(j + 1)*(j + 3)/2
Let j(r) be the second derivative of r**4/30 + r**3/3 - 84*r**2/5 - 1229*r. Determine t so that j(t) = 0.
-12, 7
Let b(v) be the third derivative of 3 - 13/24*v**4 - 23*v**2 + 0*v - 169/12*v**3 - 1/120*v**5. Factor b(x).
-(x + 13)**2/2
Let h(b) be the first derivative of -b**4/16 + 3*b**2/2 + 4*b - 2206. Factor h(d).
-(d - 4)*(d + 2)**2/4
Let k be (-59 + 59)/((-6)/(-5)*5). Let f(r) be the third derivative of 0*r**4 + 0*r**3 + k + 1/160*r**5 + r**2 + 1/320*r**6 + 0*r. Factor f(l).
3*l**2*(l + 1)/8
Let d = -8070 + 8070. Let c(p) be the second derivative of -3*p**2 + 1/4*p**4 + d - 1/2*p**3 - 14*p. Factor c(u).
3*(u - 2)*(u + 1)
Suppose -5*z - u + 18045 = 0, 4*u + 261 + 6979 = 2*z. Factor z*a**2 + 570*a + 45/2.
5*(38*a + 3)**2/2
Let t = 239 - 237. What is h in -18*h - 22*h - 1 + 48*h + 4*h**t + 1 = 0?
-2, 0
Let o(a) be the first derivative of a**3/12 - 7*a**2/4 - 30*a + 1795. Factor o(w).
(w - 20)*(w + 6)/4
Let w(n) = -309*n**2 - 10511*n - 167. Let x be w(-34). Solve -5/2 + 2*v**2 + 1/2*v**4 - x*v + 3*v**3 = 0 for v.
-5, -1, 1
Let n(x) be the third derivative of x**6/24 - x**5/6 - 65*x**4/24 - 25*x**3/3 - 1125*x**2. Let n(q) = 0. Calculate q.
-2, -1, 5
Let w(f) be the first derivative of -f**6/480 - 3*f**5/32 - 13*f**4/16 - 212*f**3/3 + f**2 + 75. Let i(r) be the third derivative of w(r). Factor i(h).
-3*(h + 2)*(h + 13)/4
Find u such that -119/3*u + 3035/6*u**4 - 2387/2*u**3 + 0 - 25/6*u**5 + 2501/6*u**2 = 0.
0, 1/5, 2, 119
Let j(p) be the second derivative of -1152*p**2 - 32*p**3 - 2 - 34*p - 1/3*p**4. Factor j(h).
-4*(h + 24)**2
Let z(n) be the second derivative of -39*n**7/28 + 8*n**6/5 - 3*n**5/10 + 3*n + 22. Factor z(p).
-3*p**3*(3*p - 2)*(13*p - 2)/2
Let a(o) be the third derivative of 0*o + 0*o**3 - o**2 - 89 + 1/30*o**5 - 1/3*o**4. Factor a(q).
2*q*(q - 4)
Let r(g) = 20*g - 123. Let d be r(7). Let b be 9*(d/6)/17. What is z in -3/4*z**4 - 3/4*z**3 + 0*z + b*z**2 + 0 = 0?
-2, 0, 1
Let g(d) be the first derivative of 169*d**4/42 - 52*d**3/21 + 4*d**2/7 + 116*d + 52. Let s(w) be the first derivative of g(w). Factor s(o).
2*(13*o - 2)**2/7
Let m(j) be the third derivative of -j**7/210 - 17*j**6/120 + 23*j**5/10 + 47*j**2 - 11. Factor m(v).
-v**2*(v - 6)*(v + 23)
Suppose -12*u = -s + 204, 77*s = 81*s - u - 17. Suppose 16/3*b + s + 56*b**2 + 154/3*b**5 + 532/3*b**3 + 178*b**4 = 0. What is b?
-2, -1, -2/7, -2/11, 0
Let z(g) be the second derivative of -5*g**7/42 - 59*g**6/2 - 7743*g**5/4 + 39605*g**4/12 + 1532*g. Suppose z(x) = 0. What is x?
-89, 0, 1
Factor 0 + 3/2*b**2 + 81/2*b.
3*b*(b + 27)/2
Let p(z) = -3*z**3 + z**2 + z. Let j be (5*18/30)/(-3). Let q(y) = 14*y**3 + 12*y**2 + 30*y + 20. Let w(v) = j*q(v) - 4*p(v). Solve w(u) = 0 for u.
-5, -2, -1
Let q(y) be the third derivative of -y**5/300 - 7*y**4/20 + 153*y**3/10 + 4167*y**2. Factor q(u).
-(u - 9)*(u + 51)/5
Let r(z) = -30*z**4 + 7*z**3 + 19*z**2 + 58*z + 58. Let q(n) = -n**4 + n**3 - n**2 + 2*n + 2. Let d(m) = 116*q(m) - 4*r(m). Find l, given that d(l) = 0.
-24, 0, 2
Suppose -393 + 399 = 3*c. Suppose -1041*s**2 - 4*s - 1 + 1042*s**c + 5 = 0. Calculate s.
2
Let g(h) be the third derivative of h**5/12 + 35*h**4/8 - 85*h**3/6 - 20*h**2. Let t(c) = c**2 + 26*c - 21. Let x(b) = 6*g(b) - 25*t(b). Factor x(a).
5*(a - 3)*(a - 1)
Let t = -630 + 632. Suppose -10*h + 27 = c - 5*h, -t*h + 10 = 0. Factor -4/5 + 29/5*f**c + 21/5*f**3 + 4/5*f.
(f + 1)*(3*f + 2)*(7*f - 2)/5
Let y be 8*((-7)/2 - -4). Let 24*o + y*o**2 - o**3 - 6*o**3 + 3*o**3 + 0*o**3 = 0. What is o?
-2, 0, 3
Let -3/2*m**3 - 372*m - 366 - 195/2*m**2 = 0. Calculate m.
-61, -2
Let q = 5 - 3. Suppose 0 = 2*b + v - 1, -4*b = -v - 16 - 1. Suppose 100*x**3 - 17*x**4 - 28*x**b + 80*x**q + 45*x**4 + 49*x - 17*x + 4*x**5 = 0. Calculate x.
-2, -1, 0
Let s(p) be the second derivative of -p**7/3360 - 3*p**6/80 + 37*p**5/160 + p**4/2 + 2*p**2 - 13*p - 1. Let k(v) be the third derivative of s(v). Factor k(i).
-3*(i - 1)*(i + 37)/4
What is s in 1181/3*s**3 + 4/3*s - s**4 + 924*s**2 - 528 = 0?
-2, -1, 2/3, 396
Let o(z) be the third derivative of 0*z**5 + 0 + 1/4*z**4 - 6*z**2 - 1/70*z**7 - 1/20*z**6 + 2*z + 1/2*z**3. Determine n, given that o(n) = 0.
-1, 1
Let f be 1 + -2 + (2 - -1). Let h be (-10 - -12 - 58/24)/(21110/(-6333)). Determine z, given that -1/4*z**5 + 0 + 3/8*z**3 - 1/8*z + 1/8*z**4 - h*z**f = 0.
-1, -1/2, 0, 1
Let l(s) = 39*s**4 + 315*s**3 + 903*s**2 - 2934*s + 1569. Let q(t) = -10*t**4 - 79*t**3 - 225*t**2 + 734*t - 392. Let r(x) = -7*l(x) - 27*q(x). Factor r(o).
-3*(o - 1)**2*(o + 7)*(o + 19)
Factor -15/2*b**3 + 129/4*b**2 + 1/4*b**4 + 88*b + 48.
(b - 24)*(b - 8)*(b + 1)**2/4
Suppose -3296*t - 209 + 5867 + 6828 - 2598 = 0. Factor 32/5*x**2 + 76/5*x + 4/5*x**t + 48/5.
4*(x + 1)*(x + 3)*(x + 4)/5
Let w(v) be the third derivative of -v**6/40 - 2361*v**5/10 - 1858107*v**4/2 - 1949773612*v**3 - 18*v**2 - 7*v + 14. Factor w(a).
-3*(a + 1574)**3
Let m(n) be the first derivative of -n**5/12 - 25*n**4/8 - 35*n**3/3 + 55*n**2/2 - 35. Let d(c) be the second derivative of m(c). Find y, given that d(y) = 0.
-14, -1
Let z(p) be the second derivative of -13*p**4/2 + 236*p**3/9 - 4*p**2/3 + 3081*p. Solve z(n) = 0 for 