2 - 67/10*d + 1/10*d**3 + 6.
(d - 5)*(d - 1)*(d + 12)/10
Let w = -28549 + 28554. Let s(z) be the third derivative of -1/15*z**w - 1/120*z**6 + 0*z**3 + 0*z**4 + 0 + 0*z + 39*z**2. Determine a so that s(a) = 0.
-4, 0
Let v(n) = n**2 + 783*n + 782. Let h be v(-1). Factor 3/4*s**4 + h + 0*s + 3/4*s**2 - 3/2*s**3.
3*s**2*(s - 1)**2/4
Let o(x) be the third derivative of -92*x**2 + 5/24*x**4 + 0*x + 5/3*x**3 - 1/12*x**5 + 0. Factor o(q).
-5*(q - 2)*(q + 1)
Let d(b) be the second derivative of b**5/45 - 157*b**4/27 + 308*b**3/9 - 2585*b. Factor d(h).
4*h*(h - 154)*(h - 3)/9
Let b = -2551/183 - -1257/61. Suppose 1/3*r**2 - 7 - b*r = 0. Calculate r.
-1, 21
Factor -1/2*g**4 - 1159/2*g - 41/2*g**3 - 361 - 477/2*g**2.
-(g + 1)*(g + 2)*(g + 19)**2/2
Let g be 342*(-3)/2*2/6. Let i be (-252)/(-28) + g/21. Determine p, given that 18/7*p**3 - 18/7*p - i*p**4 + 0 + 6/7*p**2 = 0.
-1, 0, 1, 3
Factor -18/7*y**3 + 6/7*y**4 + 3/7*y**5 - 18/7 - 12/7*y**2 + 39/7*y.
3*(y - 1)**3*(y + 2)*(y + 3)/7
Let x(d) be the second derivative of 39 + 2*d - 3/7*d**3 + 0*d**2 + 2/7*d**4 - 3/70*d**5. Let x(v) = 0. What is v?
0, 1, 3
Let w(n) = -28*n + 224. Let x be w(8). Let c be -3*(1/(-3) + x). Suppose c - 3/2*h**2 - 1/2*h + 1/2*h**3 + 1/2*h**4 = 0. What is h?
-2, -1, 1
Let d(m) be the second derivative of 3*m**6/25 + 208*m**5/25 + 1631*m**4/30 + 492*m**3/5 + 252*m**2/5 - 19*m - 296. Find q such that d(q) = 0.
-42, -3, -1, -2/9
Let n = -2033 - -3377. Let 72*d**2 + 832*d - 76*d**2 - 41920 - n = 0. What is d?
104
Let x = -324562 + 324564. Find i such that -3 - 33/2*i + 24*i**x + 315/2*i**3 = 0.
-2/7, -1/5, 1/3
Let r be (-4)/7*(-3)/6*(62 + 1210/(-20)). Determine i so that r*i**4 + 27/7*i**3 - 3/7*i + 9*i**2 - 90/7 = 0.
-5, -3, -2, 1
Let t(q) = q**5 - q**4 - q**3 + q**2 + q + 3. Let c(d) = -3*d**5 - 7*d**4 + 188*d**3 - 618*d**2 + 762*d - 314. Let o(z) = -c(z) + 2*t(z). Factor o(h).
5*(h - 2)**3*(h - 1)*(h + 8)
Let k = 1/401 - -3599/4010. Let z = 17/5 - k. Factor 1/2*d**4 + z*d**2 - 2*d**3 + 0 - d.
d*(d - 2)*(d - 1)**2/2
Let r(u) = 10*u**4 + 172*u**3 + 5031*u**2 + 93303*u + 635904. Let z(m) = -m**4 - 6*m**3 + m**2 + m. Let f(a) = -4*r(a) - 36*z(a). Factor f(o).
-4*(o + 24)**3*(o + 46)
Let x be ((-15)/10)/((420/(-126))/5). Factor x*t - 9/2 - 1/4*t**2.
-(t - 6)*(t - 3)/4
Let a(f) be the third derivative of -f**6/60 - 7*f**5/30 - f**4/6 + 40*f**3/3 - 25*f**2 + 5. Solve a(m) = 0 for m.
-5, -4, 2
Let t(y) = 5*y**3 - 15*y**2 - 2*y - 12. Let k(a) = a**3 - 3*a**2 - a. Let d(s) = -6*k(s) + t(s). Let d(h) = 0. What is h?
-2, 2, 3
Let o(s) = 144*s**3 - 951*s**2 - 1200*s - 237. Let v(c) = 244*c**3 - 1900*c**2 - 2399*c - 475. Let b(d) = 5*o(d) - 3*v(d). What is l in b(l) = 0?
-1, -1/4, 80
Let a(p) be the third derivative of -p**5/240 - 7*p**4/96 - p**3/4 + 6*p**2 - 34. Factor a(v).
-(v + 1)*(v + 6)/4
Factor -1/12*r**3 - 139/12*r**2 - 34*r + 0.
-r*(r + 3)*(r + 136)/12
Let o(j) be the second derivative of 5*j**6/6 - 33*j**5 + 65*j**4/3 + 16*j + 92. Factor o(f).
5*f**2*(f - 26)*(5*f - 2)
Let r be (-84)/30 + (-11328)/(-2360). What is m in -1/2*m**r - 19/2*m + 21 = 0?
-21, 2
Let c(f) be the second derivative of 0*f**2 + 5/3*f**3 + 1/10*f**5 - f**4 + 3 + 47*f. Factor c(u).
2*u*(u - 5)*(u - 1)
Let z be -8 + 0 + (-162 + 135 - (-38 + 1)). Let 1/3*g**5 + 0*g + 2*g**z + 1/3*g**3 - 4/3*g**4 + 0 = 0. Calculate g.
-1, 0, 2, 3
Let a(j) = -76*j**3 - 971*j**2 + 1085*j + 331. Let r(k) = 19*k**3 + 254*k**2 - 271*k - 83. Let p(x) = 6*a(x) + 22*r(x). Factor p(l).
-2*(l - 2)*(l + 8)*(19*l + 5)
Let k(t) be the third derivative of t**5/60 - 497*t**4/24 - 83*t**3 + 9*t**2 - 48*t. Factor k(j).
(j - 498)*(j + 1)
Let a = 92 + -92. Suppose a = -7*t + 29 + 6. Factor -6*m**5 - 4*m**2 - 8*m**4 + 4*m**t - 2549*m**3 + 2539*m**3.
-2*m**2*(m + 1)**2*(m + 2)
Let s = 477 + -375. Let w = 106 - s. Factor 0*m + 0*m**2 + 4/7*m**3 + 0 + 2/7*m**5 - 6/7*m**w.
2*m**3*(m - 2)*(m - 1)/7
Let g(p) be the third derivative of p**7/105 - 119*p**6/30 + 473*p**5/30 - 59*p**4/3 + 97*p**2. Solve g(v) = 0.
0, 1, 236
Factor 0 - 1018/7*a**3 - 130048/7*a**2 - 2/7*a**4 - 129032/7*a.
-2*a*(a + 1)*(a + 254)**2/7
Let m be 4/66*2382/20. Let k = -1/55 + m. Find n, given that k*n**3 + 0 + 24/5*n**2 + 2*n**4 - 16/5*n = 0.
-2, 0, 2/5
Let n be (-7645)/(-33) - (4 + 16/(-3)). Suppose 613*h - 92*h**2 + 678*h + h**3 + h**3 - n*h = 0. What is h?
0, 23
Let n be ((-203)/(-21))/(2/(-6)). Let r be n/(-9) + 8/(-36)*1. Find a, given that 6 + r*a**4 + 5 - 5 - 15*a**3 + 27*a**2 - 21*a = 0.
1, 2
Let 0 - 8*y**3 + 17*y + 1/2*y**4 - 19/2*y**2 = 0. Calculate y.
-2, 0, 1, 17
Let i(p) be the second derivative of -p**4/3 + 500*p**3/3 + 1518*p**2 - 614*p + 3. Factor i(x).
-4*(x - 253)*(x + 3)
What is m in m**2 + 2*m - m**2 + 2*m**2 - 7903 - m**2 + 7823 = 0?
-10, 8
Let d(q) be the second derivative of -q**7/168 - q**6/24 + q**5/24 + 5*q**4/8 + 115*q**3/6 - 50*q - 1. Let n(h) be the second derivative of d(h). Factor n(r).
-5*(r - 1)*(r + 1)*(r + 3)
Let s = 68873 - 68869. Factor s - 13/2*i**2 + 25*i.
-(i - 4)*(13*i + 2)/2
Let f(q) be the first derivative of q**4/40 - 47*q**3/15 + 93*q**2/20 - 65. Determine k so that f(k) = 0.
0, 1, 93
Let i = 1286 + -1221. Suppose -55*v = -175 + i. Determine r, given that -4/11*r**3 + 4/11*r**v + 7/11*r + 2/11 = 0.
-1/2, 2
Let r(x) = x**3 - 8*x**2 - 20*x + 17. Let l be r(10). Factor l + 10*z**2 - 6*z - 45 - 2*z**3 + 10.
-2*(z - 3)**2*(z + 1)
Let p(s) be the first derivative of 60 + 3/2*s**3 - 33/2*s**2 + 21/2*s. Solve p(y) = 0.
1/3, 7
Let p(g) be the first derivative of 2/3*g**3 + 0*g + 1/6*g**4 - 142 - 4/3*g**2. Factor p(z).
2*z*(z - 1)*(z + 4)/3
Let t(g) be the first derivative of -g**3 - 105*g**2 + 10329. Solve t(v) = 0 for v.
-70, 0
Suppose 0 = 8*r - 63 - 2425. Let d = -621/2 + r. Factor -h**3 + 1/2*h**4 + d*h**2 + 0 + 0*h.
h**2*(h - 1)**2/2
Find t such that 7644 - 352/13*t**2 + 2/13*t**3 + 1106*t = 0.
-6, 91
Let v = -477487/7 + 68213. Factor -10/7*o - v*o**2 - 4/7 + 8/7*o**3 + 2/7*o**5 + 8/7*o**4.
2*(o - 1)*(o + 1)**3*(o + 2)/7
Factor -598/9*s + 2/9*s**2 + 596/9.
2*(s - 298)*(s - 1)/9
Suppose 747 + 84*b - 159 - 587*b**2 + 590*b**2 = 0. What is b?
-14
Let o(t) be the third derivative of -26/9*t**3 - 1/45*t**5 - 7/9*t**4 + 5*t**2 + 0 + 0*t. Factor o(f).
-4*(f + 1)*(f + 13)/3
Let i = -7668 + 7668. Let u(r) be the second derivative of i*r**2 + 14*r - 1/36*r**4 - 1/9*r**3 + 0. Factor u(z).
-z*(z + 2)/3
Let m = 70 - 74. Let c be 3 + -8 + 4 - m. Find s such that 15*s + 6 + 3/4*s**4 + 27/2*s**2 + 21/4*s**c = 0.
-2, -1
Let v(u) be the first derivative of 5*u**4/12 + 5*u**3/2 + 301*u - 81. Let p(b) be the first derivative of v(b). Factor p(t).
5*t*(t + 3)
Factor 3/8*q**2 + 123/2*q + 0.
3*q*(q + 164)/8
Suppose 3*b - 2 = 2*b. Let g(z) = 2*z**b + 0*z - 8*z**2 + z + 5*z**2. Let f(a) = -4*a**2 + 8*a - 4. Let u(v) = 4*f(v) - 12*g(v). Let u(i) = 0. What is i?
1, 4
Find h such that -2/5*h**4 - 16218*h - 7786/5*h**2 + 17820 - 222/5*h**3 = 0.
-45, -22, 1
Let c(b) be the first derivative of 91/10*b**3 - 19/8*b**4 - 12/25*b**5 + 4/15*b**6 - 49/4*b**2 + 15/2*b - 156. What is a in c(a) = 0?
-3, 1, 5/4
Let j(p) = -p**3 + 2*p**2 + 2*p - 1. Let h(b) = 25*b**3 + 36*b**2 - 67*b - 2. Let c(v) = -h(v) - 4*j(v). Factor c(r).
-(r - 1)*(r + 3)*(21*r + 2)
Determine x, given that 1/3*x**5 + 52/3*x + 3*x**2 - 53/3*x**3 - 3*x**4 + 0 = 0.
-4, -1, 0, 1, 13
Suppose -143 = -36*l - 59 + 96. Find f, given that -7/4*f**4 - f**l + 2*f - 1 + 7/2*f**3 + 29/4*f**2 = 0.
-2, -1, 1/4, 2
Let x(u) be the second derivative of u**7/280 + u**6/40 + u**5/20 + u**3/6 + u**2 - 53*u. Let z(w) be the second derivative of x(w). Let z(l) = 0. Calculate l.
-2, -1, 0
Let z(h) be the first derivative of -h**3/9 + 53*h**2/6 - 34*h - 1648. Factor z(m).
-(m - 51)*(m - 2)/3
Let v = 28 - 11. Suppose 19*i - 23*i + 2*a = 0, 0 = -2*i - 3*a + 16. Find q such that 39*q**2 - v*q**i - 36 - 48*q - 5*q**4 + q**4 + 16*q**3 - 14*q**2 = 0.
-1, 3
Let x be (-802)/78 + (-7)/(-1). Let m = -8/13 - x. Suppose -8/3 - 2/3*q**2 + m*q = 0. What is q?
2
Let z(p) be the third derivative of -5*p**8/336 + 17*p**7/42 - 41*p**6/12 + 10*p**5 - 21*p**2 - 6*p + 1. Solve z(d) = 0.
0, 3, 4, 10
Let m(n) = -194*n**2 + 1498*n - 12. Let f(l) = -81*l**2 + 599*l - 5. Let a(x) = -12*f(x) + 5*m(x). Factor a(c).
2*c*(c + 151)
Let l = -56531/6 - -9422. Let m(d) be