 2)/4
Let x be (13/(-2)*39/169)/((-13)/12). Factor 0 - x*z - 50/13*z**3 - 60/13*z**2.
-2*z*(5*z + 3)**2/13
Let p(c) = 61*c - 53. Let v be p(3). Determine u, given that 980 + 1820*u - 6*u**4 + 362*u**2 - v*u**3 - 145*u**2 + 488*u**2 + 11*u**4 = 0.
-1, 14
Let z(u) be the first derivative of u**6/30 + 32*u**5/25 + 99*u**4/10 + 104*u**3/15 - 187*u**2/2 + 120*u - 132. Determine q, given that z(q) = 0.
-24, -5, 1
Let z(w) = 2*w**5 - 50*w**4 + 349*w**3 - 475*w**2 + 216*w. Let q(m) = -m**5 + 31*m**4 - 233*m**3 + 317*m**2 - 144*m. Let g(r) = 7*q(r) + 5*z(r). Factor g(i).
3*i*(i - 6)*(i - 2)**2*(i - 1)
Factor -3011*d + 7605 - 2388*d + 380*d**3 - 5474*d + 5*d**4 - 3947*d + 6830*d**2.
5*(d - 1)**2*(d + 39)**2
Let j(b) = -b**2 + b - 1. Let g(q) be the second derivative of q**4/3 + 5*q**3/2 + 3*q**2/2 + 169*q. Let m(i) = g(i) + 3*j(i). Solve m(v) = 0 for v.
-18, 0
Let u = -3316 + 3318. Let f(j) be the first derivative of -1/2*j**3 + 0*j - 19 + 9/32*j**4 + 0*j**u + 3/40*j**5. Let f(g) = 0. Calculate g.
-4, 0, 1
Let p(t) be the first derivative of -3*t**4/4 + 87*t**3 + 531*t**2/2 + 267*t + 3282. Determine w, given that p(w) = 0.
-1, 89
Let a(u) be the first derivative of 0*u**2 + 71 + 0*u - 65/2*u**4 - 845/3*u**3 - u**5. Find s such that a(s) = 0.
-13, 0
Let f be 5/25 - (-5 + (-3216)/(-630)). Let x(z) be the second derivative of 4*z + 0*z**2 + f*z**3 + 1/84*z**4 + 0. Solve x(m) = 0.
-4, 0
Let g = -861 + 866. Let k(l) be the second derivative of 7*l + 1/12*l**4 + 0 - 7/40*l**g + 0*l**2 + 1/12*l**6 + 0*l**3. Factor k(p).
p**2*(p - 1)*(5*p - 2)/2
Let x(o) be the first derivative of o**6/5 - 58*o**5/25 + 39*o**4/5 - 152*o**3/15 + 24*o**2/5 - 4325. Solve x(y) = 0 for y.
0, 2/3, 1, 2, 6
Let k = -1103269/14 - -78842. Let q = k + -249/7. Let -3 + 0*r**2 + q*r**3 - 9/2*r = 0. Calculate r.
-1, 2
What is y in -114/5 + 201/5*y - 12*y**2 - 27/5*y**3 = 0?
-38/9, 1
Let f(d) be the third derivative of d**6/60 + 3*d**5/8 + 107*d**4/48 + 2*d**3 - 2*d**2 + 598*d. Factor f(w).
(w + 3)*(w + 8)*(4*w + 1)/2
Let y(t) be the first derivative of 15*t**4/2 + 21965*t**3/3 + 2011170*t**2 + 669780*t - 5420. Factor y(b).
5*(b + 366)**2*(6*b + 1)
Let t = -47/172 - 118789/860. Let c = -138 - t. Factor 0 + 2/5*y**2 + c*y.
2*y*(y + 1)/5
Let r(b) = -b**2 + 7*b - 2. Let w(q) = 4*q - 18. Let z be w(6). Let y be r(z). Factor 5*v**y - 10*v**3 + 69 + 68 - 137.
5*v**3*(v - 2)
Let l(y) be the second derivative of y**4/36 + 341*y**3/9 + 116281*y**2/6 + 352*y. Solve l(o) = 0.
-341
Let a(q) be the second derivative of 2*q**7/105 + 13*q**6/25 + 3*q**5/2 - 122*q**4/3 + 176*q**3/5 + 576*q**2/5 - 47*q + 22. Determine s so that a(s) = 0.
-12, -1/2, 1, 4
Let o(f) be the second derivative of -f**6/24 - 5*f**5/3 - 125*f**4/6 + 30*f**2 + 42*f. Let a(x) be the first derivative of o(x). Find z such that a(z) = 0.
-10, 0
Let f(j) = 13*j**2 + 406*j + 836. Let s(t) = 3*t**2 - 2*t + 3. Let m(y) = -5*f(y) + 20*s(y). Factor m(h).
-5*(h + 2)*(h + 412)
Let a = 2182 + -2182. Let m(y) be the second derivative of a*y**5 + 0*y**2 + 0*y**3 - 12*y + 0 + 1/6*y**6 - 5/12*y**4. Factor m(f).
5*f**2*(f - 1)*(f + 1)
Let c(s) = -61*s**3 - 63*s**2 + 360*s. Let k(t) = -53*t**3 - 64*t**2 + 360*t. Let p(v) = -6*c(v) + 7*k(v). What is w in p(w) = 0?
-18, 0, 4
Suppose -y + 3 = -4*y. Let z = 33 + y. What is l in 500*l**5 + 304*l + 34*l**4 + z + 1112*l**2 + 498*l**4 + 720*l**4 + 1940*l**3 + 348*l**4 = 0?
-1, -2/5
Suppose 0 = -5*k - 8*c - 9, 0 = 6453*k - 6450*k + c - 6. Factor 8/3*y - k*y**4 + 12*y**2 + 0 - 2/3*y**3.
-y*(y - 2)*(y + 2)*(9*y + 2)/3
Let w(o) be the first derivative of 288*o + 568*o**2 + 8 - 36/5*o**5 + 141*o**4 + 1448/3*o**3. Determine f so that w(f) = 0.
-1, -2/3, 18
Let s = -792 - -998. What is d in -3*d**2 - 4232 + 10*d**2 + s*d - 9*d**2 + 16*d - 38*d = 0?
46
Let z(s) = 7*s**3 + 3*s**2 - 39*s + 53. Let q(c) = -6*c**3 - 4*c**2 + 39*c - 52. Let v(o) = -8*q(o) - 7*z(o). Factor v(x).
-(x - 5)*(x - 3)**2
Let y(o) be the second derivative of -o**7/1260 + o**6/72 + o**5/10 - 5*o**4/6 - 16*o. Let n(u) be the third derivative of y(u). Factor n(i).
-2*(i - 6)*(i + 1)
Let n = 558408 + -558406. Factor 8/11*z + 2/11*z**n + 6/11.
2*(z + 1)*(z + 3)/11
Let t(i) be the first derivative of -2*i**7/945 + i**6/180 + i**5/135 + 6*i**2 + 22. Let d(y) be the second derivative of t(y). Solve d(o) = 0 for o.
-1/2, 0, 2
Let y = -3267/1820 + 177/91. Let o(h) be the second derivative of -y*h**5 + 0*h**2 - 44*h + 1/8*h**4 + 0 + 0*h**3. Factor o(p).
-3*p**2*(2*p - 1)/2
Let u(j) be the first derivative of j**5/30 + 2*j**4/3 - 3*j**3 + 14*j**2/3 - 19*j/6 + 3233. Factor u(h).
(h - 1)**3*(h + 19)/6
Let k(h) be the second derivative of 3025/8*h**2 - 55/12*h**3 + 7 + 1/48*h**4 - 17*h. Factor k(o).
(o - 55)**2/4
Let -448*x**2 + 616771 + 278145 + 3784*x + 452*x**2 = 0. Calculate x.
-473
Let l(q) be the second derivative of -q**6/330 - 173*q**5/220 - 171*q**4/44 - 511*q**3/66 - 85*q**2/11 + 8*q + 226. Find i, given that l(i) = 0.
-170, -1
Let f be (-3525)/1786*52/(-195). What is n in f*n**4 - 10/19*n**2 - 8/19*n**5 + 2/19*n + 0 + 6/19*n**3 = 0?
-1, 0, 1/4, 1
Determine i so that i**3 + 24699 - 4*i**3 - 342*i**2 + 10048 - 2872 + 1587*i**2 + 12675*i = 0.
-5, 425
Let z(x) be the second derivative of -x**5/12 - 695*x**4/36 - 10360*x**3/9 + 41070*x**2 + 3272*x. Find o such that z(o) = 0.
-74, 9
Suppose -403*f - 616 = -557*f. Solve 22/9*b**f - 128/9*b**3 - 8/3 - 88/9*b + 218/9*b**2 = 0 for b.
-2/11, 1, 2, 3
Solve 4968/5*i - 7776/5 - 192*i**2 + 10*i**3 = 0 for i.
18/5, 12
Let u = 134/405 + 179704/7695. Let w(l) be the first derivative of u*l - 49 - 30/19*l**2 + 2/57*l**3. Factor w(o).
2*(o - 15)**2/19
Let m(a) be the third derivative of -a**5 - 32*a**4/3 - 32*a**3/3 + a**2 + 2023. Factor m(j).
-4*(j + 4)*(15*j + 4)
Let j(k) be the first derivative of k**6/180 - k**5/60 - 145*k**3/3 - 46. Let u(b) be the third derivative of j(b). Factor u(a).
2*a*(a - 1)
Suppose -y = -3*y + 48. Suppose -2*s - 5*o = 6, -3*s = -s - 4*o - 12. Factor -2 + 14*h**s - y*h**2 + 20*h**2 + 4 - 12*h.
2*(h - 1)*(5*h - 1)
Let n(v) be the third derivative of 0*v**3 + 0 + 1/132*v**4 + 0*v**7 + 0*v**5 + 175*v**2 + 1/1848*v**8 + 0*v - 1/330*v**6. Let n(k) = 0. Calculate k.
-1, 0, 1
Suppose 11 = k - 2*i, 3*k + 5*i = -0*i - 11. Factor -67466*v + 67352*v + 546 + 537 + k*v**2.
3*(v - 19)**2
Let s be (-37)/(-20) + ((-420)/700 - (-1 - 0)). Let m(i) be the first derivative of s*i**2 + 1/2*i**3 - 6*i + 8. Find n such that m(n) = 0.
-4, 1
Let f(m) be the first derivative of -4*m**5 + 225*m**4/4 - 175*m**3/3 - 1425*m**2 + 720*m + 2295. Let f(n) = 0. What is n?
-3, 1/4, 6, 8
Let f be 188/10 + 39/195. Suppose -16*z - 9 = -f*z. Determine s so that -1/3*s**4 + 0*s**z - 2/3*s + s**2 + 0 = 0.
-2, 0, 1
Suppose 0 = -c + 3*f, 2*c + 2*f + 14 - 22 = 0. Suppose 4*k - c*z = 15 + 8, 0 = 3*k + z - 1. What is y in -8/3*y + 8/3 + 2/3*y**k = 0?
2
Let y = 27951 + -27948. Factor -38/11*g**y + 0*g + 12/11*g**2 + 0 + 6/11*g**4.
2*g**2*(g - 6)*(3*g - 1)/11
Let l(q) = 14*q**2 + 316*q + 1400. Let i(j) = -3*j**2 + 2*j - 4. Let u(o) = -6*i(o) - l(o). Factor u(h).
4*(h - 86)*(h + 4)
Suppose 0 = 18361*c - 18338*c - 69. Let g(q) be the first derivative of 8/3*q**3 + 30 - 1/2*q**4 - c*q**2 + 0*q. Determine w so that g(w) = 0.
0, 1, 3
Let i(u) = -4*u**3 + 6*u**2. Let o(q) = -q**4 + q**3 + q**2. Suppose 63*x - 61*x = 4. Let p(c) = x*o(c) - i(c). What is k in p(k) = 0?
0, 1, 2
Let i(l) = l**4 - 2*l**3 + l**2. Suppose 2*y - 25 + 27 = 0. Let u(j) = 33*j**4 + 274*j**3 - 467*j**2 - 520*j + 180. Let v(p) = y*u(p) - 2*i(p). Solve v(q) = 0.
-9, -1, 2/7, 2
Let r(u) be the third derivative of -2*u**7/105 - 23*u**6/10 + 72*u**5/5 - 4588*u**2. Factor r(d).
-4*d**2*(d - 3)*(d + 72)
Let h be -11*(-4)/4*-1. Let z be ((3/(-4))/(h/(-44)))/(-1). Factor z + 4 + 43*i**2 + 9*i - 40*i**2 - 1.
3*(i + 1)*(i + 2)
Let r(b) be the first derivative of 5/13*b**2 - 10/39*b**3 - 2/65*b**5 + 12/13*b - 5/26*b**4 + 34. Suppose r(n) = 0. Calculate n.
-3, -2, -1, 1
Let q(p) = p + 1. Let w(m) = 70 + 39*m - 134*m + 5*m**2 + 65*m. Let u(n) = -10*q(n) + w(n). Factor u(d).
5*(d - 6)*(d - 2)
Suppose 2827*d + 1252*d - 4186 = -235*d + 13070. Factor 2/3*v**2 + 0 + d*v.
2*v*(v + 6)/3
Let l(s) be the first derivative of -s**8/840 - s**7/35 - s**6/5 - s**3/3 - 70*s - 168. Let d(b) be the thi