/5*b**5. Let s(j) be the first derivative of t(j). Factor s(m).
4*(m - 1)**2*(m + 3)
Let a(n) be the second derivative of n**7/2520 - n**6/216 - n**5/60 - 307*n**3/6 - 2*n - 10. Let f(d) be the second derivative of a(d). Let f(r) = 0. What is r?
-1, 0, 6
Let v(d) be the third derivative of -7*d**6/220 - 607*d**5/110 + 355*d**4/11 - 356*d**3/11 + 1881*d**2. Let v(m) = 0. What is m?
-89, 2/7, 2
Solve -46011 + 92042 - 830*j**4 - 46021 + 25*j - 830*j**3 - 5*j**5 - 270*j**5 - 260*j**2 = 0.
-1, -1/5, 2/11
Suppose -5*i - 6*r = -3*r - 362, 4*r = 2*i - 124. Suppose -i - 10 = -16*l. Suppose 5/3*s**5 - l*s**4 + 5*s**2 - 10/3*s + 5/3*s**3 + 0 = 0. What is s?
-1, 0, 1, 2
Let c = -40 - -60. What is r in -10*r**4 + 29184 - 29184 - c*r - 5*r**5 + 20*r**2 + 15*r**3 = 0?
-2, 0, 1
Let r(p) = 2*p**2 - 594*p + 43812. Let s(h) = h - 2. Let n(v) = -2*r(v) - 4*s(v). Factor n(x).
-4*(x - 148)**2
Suppose 114 = -3*x + 2*t, -5*x + 76*t - 74*t - 194 = 0. Let f be 340/(-50) + x/(-5). Solve -1/5*w**2 + w - f = 0 for w.
2, 3
Let q(s) be the third derivative of -4*s**7/1575 + s**6/100 - s**5/75 + s**4/180 - 254*s**2 - 1. Factor q(t).
-2*t*(t - 1)**2*(4*t - 1)/15
Let o = 76 + -46. Suppose -26*z**2 + 55*z**2 - o*z**2 + 4 = 0. What is z?
-2, 2
Suppose 2563 - 175*r - 1094 + 2*r**2 - 13*r + 1103 + 1846 = 0. Calculate r.
47
Suppose 16 = 4*q, 3*s - 2*q - 871 = -864. Let a(d) be the third derivative of -1/480*d**6 - 1/240*d**s + 1/24*d**3 + 34*d**2 + 0*d + 1/96*d**4 + 0. Factor a(w).
-(w - 1)*(w + 1)**2/4
Let l(d) = -d**2 + 74*d - 47. Let z be l(41). Suppose -s + 1308 = z. Determine t, given that -42/13*t**4 + 0 - 58/13*t**3 - 8/13*t**s + 8/13*t = 0.
-1, -2/3, 0, 2/7
Factor -2/5*m**2 + 0 + 1018/5*m.
-2*m*(m - 509)/5
Let h(x) be the second derivative of 3*x**5/20 - 40*x**4/3 + 693*x**3/2 + 729*x**2 + 1086*x. Suppose h(v) = 0. Calculate v.
-2/3, 27
Let d(i) = 15*i**2 + 100*i - 345. Let k(y) = -16*y**2 - 101*y + 325. Let x(g) = 4*d(g) + 5*k(g). Factor x(z).
-5*(z + 7)*(4*z - 7)
Let w(f) be the third derivative of f**7/945 + 19*f**6/540 + 13*f**5/54 + 77*f**4/108 + 10*f**3/9 - 88*f**2. Let w(h) = 0. Calculate h.
-15, -2, -1
Let w(z) be the first derivative of -4*z**3/3 - 78*z**2 + 688*z + 2292. Factor w(j).
-4*(j - 4)*(j + 43)
Let h(b) = -80*b**2 - 32*b + 421. Let u(t) = -13*t**2 - 6*t + 70. Let f(g) = -6*h(g) + 37*u(g). Factor f(p).
-(p - 2)*(p + 32)
Let g = 21941/2 + -10968. Suppose -g*u**4 - 15/4*u**5 + 5/4*u + 25/2*u**3 + 15*u**2 - 5/2 = 0. Calculate u.
-1, 1/3, 2
Let b(z) = 8*z**2 + 6*z + 28. Let h(p) = 26*p - 139. Let a be h(6). Let k(r) = -23*r**2 - 20*r - 84. Let l(u) = a*b(u) + 6*k(u). Let l(m) = 0. What is m?
-7, -2
Let a(y) be the first derivative of -3*y**4/4 + 35*y**3 - 48*y**2 - 204*y - 1273. Find i, given that a(i) = 0.
-1, 2, 34
Let g(k) be the first derivative of -k**4/34 + 62*k**3/51 - 319*k**2/17 + 2178*k/17 - 1535. Factor g(w).
-2*(w - 11)**2*(w - 9)/17
Let d(g) = -9*g**4 - 7*g**2 - 8*g. Let b = -98 - -185. Let x(p) = -p**2 - p**4 - 87 + b - p. Let k(l) = 3*d(l) - 24*x(l). Factor k(u).
-3*u**2*(u - 1)*(u + 1)
Let l(p) be the first derivative of 3*p**4/8 - 142*p**3 + 59631*p**2/4 + 61347*p - 1150. Determine t, given that l(t) = 0.
-2, 143
Let w(k) be the second derivative of -k**7/98 - 3*k**6/35 + 93*k**5/140 + 9*k**4/7 + 726*k - 4. Suppose w(n) = 0. Calculate n.
-9, -1, 0, 4
Suppose 24*d + 32 - 4*d**3 + 291*d**2 + 267*d**2 - 570*d**2 = 0. Calculate d.
-4, -1, 2
Let z(y) be the second derivative of -y**4/48 + 13*y**3/12 + 87*y**2/8 + 730*y. Solve z(r) = 0 for r.
-3, 29
Let k be 1 + -1 + (2 - 0). Let w be -9*(1 + (-77)/63). Factor w*z**k + 4*z - 12 + 3*z - 5*z.
2*(z - 2)*(z + 3)
Let r(x) be the third derivative of 3*x**6/220 - x**5/66 - x**4/6 - 8*x**3/33 + 1435*x**2. Let r(w) = 0. Calculate w.
-1, -4/9, 2
Let k(u) be the second derivative of u**5/35 + 76*u**4/21 + 40*u**3 - 12689*u. Suppose k(j) = 0. Calculate j.
-70, -6, 0
Let p(g) = -2*g**2 - 15*g + 33. Let f(n) be the second derivative of 1/12*n**4 + 1/2*n**2 + 0 + 1/6*n**3 - 28*n. Let j(t) = 6*f(t) + 2*p(t). Factor j(q).
2*(q - 6)**2
Let a(s) be the first derivative of 5*s**3/3 - 135*s**2/2 + 250*s - 838. Determine u so that a(u) = 0.
2, 25
Let v(q) be the second derivative of q**4/60 - 13*q**3/6 - 138*q**2/5 + 211*q. Let v(u) = 0. What is u?
-4, 69
Let j(c) be the second derivative of -7*c**6/150 + c**5/15 + c**4/15 - 4*c**2 + c + 29. Let n(l) be the first derivative of j(l). Factor n(d).
-4*d*(d - 1)*(7*d + 2)/5
Let s = 113 - 225/2. Let f = 594 + -594. Find z, given that s*z**3 + f + 1/2*z + z**2 = 0.
-1, 0
Let q(u) = -501*u - 48594. Let o be q(-97). Factor 18*v**2 + 0 - 3/2*v**5 + 3*v**o - 27/2*v - 6*v**4.
-3*v*(v - 1)**2*(v + 3)**2/2
Suppose 0 = f + 164 + 73. Let n = f + 239. Find d, given that 10/9*d**3 + 14/9*d - 4/9 - n*d**2 - 2/9*d**4 = 0.
1, 2
Suppose 0 = -4*s + 58 + 26. Let x be (24/s)/(4/14). Find i, given that x*i**3 - 38*i**3 - 4*i**3 + 8*i**4 + 54*i**2 - 16*i - 8 = 0.
-1/4, 1, 2
Let 27/7*l**4 + 0*l + 36/7*l**3 - 3/7*l**5 + 0 - 60/7*l**2 = 0. What is l?
-2, 0, 1, 10
Suppose -3*k + 490 - 1027 = 0. Let v = 182 + k. Let 0 - 4/3*r**2 + 4*r**v - 8/3*r = 0. What is r?
-2/3, 0, 1
Let m(g) be the second derivative of g**5/4 - 1435*g**4/12 - 340*g. Factor m(h).
5*h**2*(h - 287)
Suppose 0 = -1012*l + 1090 + 584 + 350. Let 1/8*z**l + 225/2 + 15/2*z = 0. What is z?
-30
Let c(g) be the second derivative of g**7/3024 - 19*g**6/432 + 361*g**5/144 + 113*g**4/12 - 3*g + 5. Let y(k) be the third derivative of c(k). Factor y(v).
5*(v - 19)**2/6
Let s(c) be the first derivative of -c**5/30 - 5*c**4/8 + 251*c**3/18 - 295*c**2/4 + 325*c/3 - 1968. Solve s(d) = 0 for d.
-26, 1, 5
What is o in 5/2*o + 0 - 1/4*o**2 = 0?
0, 10
Let q(x) = 8*x**3 - 8928*x**2 + 2428800*x + 2437632. Let c(a) = 6*a**3 - 6698*a**2 + 1821600*a + 1828224. Let n(o) = 13*c(o) - 10*q(o). Factor n(k).
-2*(k - 552)**2*(k + 1)
Let s be (-98)/392 + 107/430. Let i = s + 3443/2580. Factor 15*j**2 + i + 28/3*j.
(5*j + 2)*(9*j + 2)/3
Let y(k) be the second derivative of -1/12*k**4 + 0 + 1/180*k**6 + 2/3*k**2 - 1/9*k**3 + 1/120*k**5 - 63*k. Factor y(h).
(h - 2)*(h - 1)*(h + 2)**2/6
Let o(f) be the first derivative of 8/3*f**2 - 72 + 19/12*f**4 + 7/15*f**5 + 25/9*f**3 + 1/18*f**6 + 4/3*f. Factor o(p).
(p + 1)**3*(p + 2)**2/3
Let w(r) be the second derivative of -3*r**3 + 3*r**2 + 1/20*r**6 + 0 - 9/20*r**5 + 13/8*r**4 + 199*r. Find k such that w(k) = 0.
1, 2
Let j(s) be the first derivative of s**6/600 - s**4/40 + 20*s**3/3 - 4*s - 14. Let b(p) be the third derivative of j(p). Find v, given that b(v) = 0.
-1, 1
Let q(d) be the third derivative of 0*d + 5/3*d**4 - 15/2*d**3 - 1/96*d**6 - 5/48*d**5 - d**2 - 26. Factor q(u).
-5*(u - 2)**2*(u + 9)/4
Let q be (-38)/10 - (-18)/135. Let t = q - -25/6. Factor 1/2*b**3 + 1/2*b**4 - 3/2*b**2 + 1 - t*b.
(b - 1)**2*(b + 1)*(b + 2)/2
Let k be 63/162*(-3312)/(-168). Factor 22/3*a + k - 1/3*a**2.
-(a - 23)*(a + 1)/3
Factor -296*f**2 + 693*f - 10*f**4 - 64*f**3 - 528*f - 4*f**5 - 92*f**3 - 437*f - 30*f**4 - 96.
-4*(f + 1)*(f + 2)**3*(f + 3)
Let q(m) = 4*m**4 - m**3 + m**2 - m - 1. Let n(s) = 26*s**4 + 188*s**3 + 758*s**2 + 738*s - 6. Let h(y) = n(y) - 6*q(y). Factor h(x).
2*x*(x + 2)**2*(x + 93)
Solve 272/5*k**2 - 148/5*k**3 + 4/5*k**5 + 0 + 16/5*k**4 - 144/5*k = 0 for k.
-9, 0, 1, 2
Let r(k) be the third derivative of -19*k**6/270 - k**5/90 + 64*k**3/3 - k**2 - 83*k. Let w(y) be the first derivative of r(y). Determine z so that w(z) = 0.
-1/19, 0
Find l, given that 5215 - 950*l + 1730*l + 8*l**2 - 3*l**2 = 0.
-149, -7
Find w such that 808/17 + 398/17*w**3 + 2/17*w**5 + 206/17*w**4 - 800/17*w - 614/17*w**2 = 0.
-101, -2, 1
Suppose 4*y = 3*n + 2565, 0 = 5*y + 2355*n - 2352*n - 3267. Factor -y*d - 2/3*d**3 - 36*d**2 - 3888.
-2*(d + 18)**3/3
Let g = 90700 - 90679. Suppose 147 + 3/4*w**2 - g*w = 0. Calculate w.
14
Let d(g) be the third derivative of -g**5/30 + 36*g**4 - 15552*g**3 - 1526*g**2. Solve d(m) = 0.
216
Let t(g) = 17*g**3 - 5650*g**2 - 130*g. Let j(s) = 4*s**3 - 1413*s**2 - 30*s. Let a(c) = -26*j(c) + 6*t(c). Suppose a(v) = 0. Calculate v.
0, 1419
Let 924*v + 87/2*v**2 + 1/2*v**3 - 968 = 0. What is v?
-44, 1
Suppose -58/3*g**4 + 128/3*g - 56/3*g**2 - 164/3*g**3 + 0 - g**5 = 0. Calculate g.
-16, -2, 0, 2/3
Suppose -2*v - a