at h(v) = 0.
-3, -2, 3/5, 1
Let u(j) be the first derivative of -3*j**5/80 + 13*j**4/24 - 8*j**3/3 + 4*j**2 + 123*j + 137. Let s(n) be the first derivative of u(n). Factor s(o).
-(o - 4)**2*(3*o - 2)/4
Let l = 2992 - 2988. Let d(z) be the third derivative of 1/240*z**6 + 0*z**l + 0 - 9*z**2 + 0*z - 1/90*z**5 + 0*z**3 + 1/1260*z**7. Factor d(i).
i**2*(i - 1)*(i + 4)/6
Let n(t) be the first derivative of 0*t - 1/6*t**3 + 1/2*t**2 - 172 + 1/48*t**6 - 3/16*t**4 + 1/40*t**5. Find w, given that n(w) = 0.
-2, 0, 1, 2
What is u in 1680140 + 15023929 - 9591464 + 15785395 + 5*u**2 + 21400*u = 0?
-2140
Let y be (-56)/42*(-3)/12. Let m(p) be the second derivative of -2/5*p**5 - y*p**4 + 0 + 0*p**3 + 0*p**2 - 1/42*p**7 - 1/6*p**6 - 10*p. Let m(n) = 0. What is n?
-2, -1, 0
Let y(i) be the first derivative of i**5/3 + 5*i**4/24 + i**2 + 17*i + 31. Let u(c) be the second derivative of y(c). Factor u(k).
5*k*(4*k + 1)
Let n(k) = -17*k - 489. Let a be n(-29). Let z be -2*(a + 143/(-33)). Factor 338/3 - 52/3*v + z*v**2.
2*(v - 13)**2/3
Let t = -952 - -950. Let q(h) = -4*h**2 - 16*h + 26. Let s(u) = -2*u**2 + 2*u + 2. Let f(y) = t*q(y) + 6*s(y). Determine r, given that f(r) = 0.
1, 10
Suppose -15*y + 198 = 153. Suppose -13/4*f - 5/4*f**2 + 1/4*f**y - 7/4 = 0. What is f?
-1, 7
Let u(x) = -11*x + 46. Let s be u(4). Determine o, given that 13*o**2 - 22*o**s + 10*o**2 + o = 0.
-1, 0
Let p = -21933 + 21943. Let z(n) be the second derivative of -p*n + 2/13*n**3 + 1/130*n**5 + 0*n**2 + 3 - 7/78*n**4. Determine v so that z(v) = 0.
0, 1, 6
Let j(l) be the first derivative of 3*l - 9 - 7/8*l**2 + 1/12*l**3. Determine k, given that j(k) = 0.
3, 4
Let x be (-12)/(360/(-42)) + (-685)/900. Let c(r) be the second derivative of 1/10*r**5 - 4/3*r**2 - 1/3*r**3 + 0 + x*r**4 + 24*r. Factor c(q).
(q + 4)*(2*q + 1)*(3*q - 2)/3
Let i(x) be the second derivative of -x**6/135 - 16*x**5/15 - 176*x**4/3 - 1536*x**3 - 20736*x**2 + 1324*x. Factor i(f).
-2*(f + 12)**2*(f + 36)**2/9
Let b(g) = 19*g + 281. Let q be b(-15). Let s be q + (-56)/(77/(-11)). Factor 1/7*y**5 + 12/7*y**2 - 8/7*y - 3/7*y**s - 2/7*y**3 + 0.
y*(y - 2)**2*(y - 1)*(y + 2)/7
Factor 6*v**2 + v**2 - 4*v**2 + 0*v**2 + 1628*v - 5*v**2 - 331298.
-2*(v - 407)**2
Let p(t) be the second derivative of 9*t**7/14 + 165*t**6/2 + 2013*t**5/10 - 181*t**4 - 180*t**3 + 69*t + 1. Determine u, given that p(u) = 0.
-90, -2, -1/3, 0, 2/3
Let s(y) be the second derivative of 2*y**6/15 + 4*y**5 + 74*y**4/3 - 616*y**3/3 - 726*y**2 - 1915*y. Find p such that s(p) = 0.
-11, -1, 3
Let u = 176551 - 176548. What is c in 99/8*c**u + 21/8*c + 3/2*c**4 + 27/2*c**2 + 0 = 0?
-7, -1, -1/4, 0
Suppose 3*q = 5*f + 239 - 24, -f - 223 = -3*q. Find j such that 577*j**2 - 562*j**2 - j**3 - q*j - 63 + 188 = 0.
5
Let z(s) be the first derivative of -5*s**4/3 + 748*s**3/9 - 848*s**2/3 + 560*s/3 + 1049. Let z(x) = 0. What is x?
2/5, 2, 35
Let d(i) = 27*i**2 + 77*i + 256. Let r(k) = 11*k**2 + 38*k + 128. Let n(z) = -2*d(z) + 5*r(z). Solve n(a) = 0 for a.
-32, -4
Let h(m) be the first derivative of -m**5 + 335*m**4/4 - 1580*m**3/3 + 930*m**2 + 14129. Solve h(a) = 0.
0, 2, 3, 62
Let q be (-2)/(-25)*39/208. Let u(g) be the third derivative of 0*g**5 + 1/175*g**7 - q*g**6 + 0*g + 0 + 0*g**4 + 0*g**3 + 1/560*g**8 + 8*g**2. Factor u(a).
3*a**3*(a - 1)*(a + 3)/5
What is w in 1/6*w**5 + 223/6*w**3 + 287/6*w**2 - 112/3*w - 31/6*w**4 - 128/3 = 0?
-1, 1, 16
Let g(s) = -11*s**3 - 53*s**2 - 56*s - 6. Let z(t) be the second derivative of t**5/20 - t**2/2 - 43*t + 1. Let a(r) = -5*g(r) + 10*z(r). Factor a(y).
5*(y + 2)**2*(13*y + 1)
Let i = -42653/6 + 128023/18. What is z in 4/9*z**4 + 20/3*z**2 - 64/9 + i*z**3 - 32/9*z = 0?
-4, -1, 1
Suppose 4*d = 9*d - 1605. Let l = d + -317. Factor 2/3*c**2 - 2/3*c**l + 0 - 2/3*c + 2/3*c**3.
-2*c*(c - 1)**2*(c + 1)/3
Factor 4/3*l**3 - 352/3 + 85/3*l**2 - 1387/3*l.
(l - 11)*(l + 32)*(4*l + 1)/3
What is z in 63*z**4 + 0 + 96*z - 1284/5*z**2 + 27/5*z**5 + 624/5*z**3 = 0?
-8, -5, 0, 2/3
Find v, given that 2/3*v**3 - 160/9*v**2 - 58/9*v + 12 = 0.
-1, 2/3, 27
Let o(s) = s**2 + 2*s**2 + 4*s - 7 - 4*s**2. Let g(i) = -i + 11. Let w(a) = a - 13. Let l(k) = 6*g(k) + 5*w(k). Let d(h) = 2*l(h) - o(h). Factor d(m).
(m - 3)**2
Factor 12294 - 24589 + 12295 + 594*b - 3*b**2.
-3*b*(b - 198)
Let x(u) = u**2 + 45*u + 101. Let c(p) = -22*p - 50. Let o(f) = 23*f - 97. Let n be o(4). Let h(t) = n*c(t) - 2*x(t). Solve h(d) = 0.
-2, 12
Let d(u) = -6*u**4 + 6*u**3 + 9*u**2 - 3. Suppose 36 = 4*p + 14*p. Let c(l) = -6*l**4 + 7*l**3 + 8*l**2 - 2. Let i(r) = p*d(r) - 3*c(r). Factor i(v).
3*v**2*(v - 2)*(2*v + 1)
Let v = 3955 - 23725/6. Let y(c) be the third derivative of 0 - 1/10*c**6 + 4*c**2 + 2/5*c**5 + 0*c + 1/105*c**7 + c**3 - v*c**4. Factor y(a).
2*(a - 3)*(a - 1)**3
Factor 8*n**2 - 36*n + 112/3 + 1/3*n**3.
(n - 2)**2*(n + 28)/3
Let u(z) be the second derivative of -z**5/60 - z**4/6 + 2*z**3 + 16*z**2 + 9*z + 2. Let w(b) be the first derivative of u(b). Factor w(c).
-(c - 2)*(c + 6)
Suppose 0 = 3*u + 2*i - 21, -2*i = 41*u + 7 - 142. Factor -24/7 - 102/7*g - u*g**2 + 12/7*g**3.
3*(g - 4)*(g + 2)*(4*g + 1)/7
Factor 4584/5 + 3/5*z**3 - 459*z**2 + 2286/5*z.
3*(z - 764)*(z - 2)*(z + 1)/5
Let g(k) be the third derivative of -k**5/360 + 1463*k**4/36 - 2140369*k**3/9 + 4*k**2 - 119*k + 2. Factor g(r).
-(r - 2926)**2/6
Let c = -1597647 - -1597649. Let -1/6*w**c + 26/3 - 17/2*w = 0. What is w?
-52, 1
Solve 7/3*v**3 + 12 + 25/3*v**2 - 32*v = 0 for v.
-6, 3/7, 2
Let -22/3 + 1/12*v**2 + 29/4*v = 0. What is v?
-88, 1
Suppose -4*j + 5*z + 360 = 2*z, -3*z = 0. Factor -93 + 15*y**3 + 3*y**4 + 21*y - j + 27*y**2 + 189.
3*(y + 1)**3*(y + 2)
Suppose -8*b + 6*b + 3*x + 16 = 0, -5*x - 24 = -2*b. Determine j so that -1678 + 1638 + b*j - 2*j**2 - 44*j = 0.
-20, -1
Factor -1278*h + 638*h + 5*h**3 - 490*h**2 + 145*h.
5*h*(h - 99)*(h + 1)
Suppose -76*i**3 + 5*i**5 - i**5 + 336*i**2 - 3*i**4 - 140*i**2 - i**4 - 120*i = 0. What is i?
-5, 0, 1, 2, 3
Let o = -6224/123 + 2102/41. Factor o*n**2 + 14/3 + 16/3*n.
2*(n + 1)*(n + 7)/3
Let u(v) be the third derivative of v**7/70 - 61*v**6/40 + 1377*v**5/20 - 13583*v**4/8 + 24565*v**3 + 11*v**2 - 7*v - 3. Factor u(i).
3*(i - 17)**3*(i - 10)
Let h(u) be the third derivative of 1/600*u**6 - 3 + 0*u - 19/300*u**5 - 1/6*u**4 - 7*u**2 + 0*u**3. Factor h(s).
s*(s - 20)*(s + 1)/5
Let h(p) be the second derivative of 3/5*p**5 + 2*p + 24*p**2 - 185 - 1/10*p**6 + 0*p**4 - 8*p**3. Factor h(r).
-3*(r - 2)**3*(r + 2)
Determine k, given that 47*k - 249*k + 245 - 1013 + 4*k**2 + 90*k + 8*k = 0.
-6, 32
Let o = 1/4559 + 615458/31913. Let q = -33376 + 33378. Let -627/7*y**3 - 1539/7*y**q + 150/7 + o*y - 9*y**4 = 0. What is y?
-5, -2/7, 1/3
Let m(j) be the second derivative of j**5/40 + 317*j**4/24 - 320*j**3/3 + 321*j**2 - 1313*j. Solve m(c) = 0.
-321, 2
Solve -68*f**2 - 60*f**2 + 12*f**3 - 52*f**2 + 183*f**2 = 0 for f.
-1/4, 0
Let t(r) be the first derivative of 5*r**3/9 + 565*r**2/6 + 255. What is l in t(l) = 0?
-113, 0
Let w(t) be the first derivative of -78 + 7/13*t**2 + 0*t - 2/65*t**5 + 9/26*t**4 - 10/13*t**3. Suppose w(f) = 0. What is f?
0, 1, 7
Suppose 0 = 4*i - h + 431 - 2840, -4*h + 1200 = 2*i. Factor 127*r - 1667*r**2 + 1613*r**2 + r**3 + i*r.
r*(r - 27)**2
Factor 165*d + 110*d + 148*d + 48 + 40*d**2 - 486*d + 155*d - 4*d**3.
-4*(d - 12)*(d + 1)**2
Suppose 3*s = -2*s + 3*h + 14, 5*s - 26 = -3*h. Factor -195*r**2 + 388*r**2 - 193*r**2 + 3*r**3 - s*r + r**4.
r*(r - 1)*(r + 2)**2
Factor -230 - 110*t + 235/2*t**2 - 5/2*t**3.
-5*(t - 46)*(t - 2)*(t + 1)/2
Solve 0 - 4/5*i**5 - 32*i - 276/5*i**3 + 64/5*i**4 + 376/5*i**2 = 0.
0, 1, 4, 10
Let 0 + 46/13*y**3 + 14/13*y**4 - 744/13*y**2 - 216/13*y = 0. What is y?
-9, -2/7, 0, 6
Suppose 4*h - h = -4*n - 20, -3*h = 12. Let j be -40 + 34 - 17/n. Factor -10*u**2 - j*u**3 + 0 - 15/2*u.
-5*u*(u + 1)*(u + 3)/2
Let q(m) be the third derivative of m**6/120 - 3*m**5/4 + 121*m**4/12 - 52*m**3 + 13*m**2 - 145*m. Let q(f) = 0. What is f?
2, 4, 39
Suppose -264 = 8*w + 58*w. Let l be w/(-16) + 2 + -3 + 1. Factor 1/2 + 1/4*b - 1/2*b**2 - l*b**3.
-(b - 1)*(b + 1)*(b + 2)/4
Let m(v) = -151*v**4 - 296*v**3 + 6*v**2 + 298*v + 147. Let l(f) = f**5 - f**4 + 4*f**2 + f - 1. Let a(d) = -l(d) + m(d). Solve a(h) = 0.
-148, -1, 1
Let q be ((-567)/9