e the first derivative of l**6/21 + 4*l**5/35 - 5*l**4/14 - 20*l**3/21 + 4*l**2/7 + 16*l/7 - 296. Suppose x(f) = 0. Calculate f.
-2, -1, 1, 2
Suppose 30 = 3*t + 15. Solve 2*w**5 + 11*w**4 - w**2 - w**3 - 3*w**t - 10*w**4 + 2*w**3 = 0.
-1, 0, 1
Let u(b) be the third derivative of b**7/630 - b**5/10 - 4*b**4/9 - 5*b**3/6 - b**2 + 3887. Let u(r) = 0. Calculate r.
-3, -1, 5
Suppose 31*f - 35*f + 26 = o, -f + 6 = 0. Let j(q) be the third derivative of 5/2*q**3 + 0 - 25/24*q**4 - 10*q**o - 1/6*q**5 + 0*q. Factor j(h).
-5*(h + 3)*(2*h - 1)
Let m(f) = -f**3 - 5*f**2 + 4*f - 8. Suppose -193*n + 183*n = 60. Let p be m(n). Factor 15/7*w**3 + 0 + 3/7*w - 12/7*w**2 - 6/7*w**p.
-3*w*(w - 1)**2*(2*w - 1)/7
Let o(k) = 16*k**4 - 12*k**3 - 5*k**2 + k - 11. Let m(r) = -3*r**4 + 2*r**3 + r**2 + 2. Let q(a) = -11*m(a) - 2*o(a). Factor q(n).
n*(n - 1)*(n + 1)*(n + 2)
Let d(x) = 50*x**2 - 637*x - 665. Let m(t) = -9*t**2 + 128*t + 133. Let c(k) = 4*d(k) + 22*m(k). What is s in c(s) = 0?
-133, -1
Let k(p) be the third derivative of -11*p**6/120 - 7*p**5/10 + p**4/3 - 30*p**2. Solve k(n) = 0 for n.
-4, 0, 2/11
Factor 664*k - 1269 - 20*k**2 + 57*k**2 - 17*k**2 - 759 - 16*k**2.
4*(k - 3)*(k + 169)
Let g(s) be the third derivative of -s**7/140 + s**6/32 + 11*s**5/80 - 5*s**4/8 - 3*s**3/2 - 453*s**2. Let g(h) = 0. What is h?
-2, -1/2, 2, 3
Let x = -214143 - -214145. Suppose 28/15*g + 14/15*g**x + 16/15 + 2/15*g**3 = 0. What is g?
-4, -2, -1
Suppose -301416*s = -301492*s + 228. Determine k, given that 8/7*k**s - 32/7*k - 6/7*k**4 + 8/7 + 22/7*k**2 = 0.
-2, 1/3, 1, 2
Suppose 0 = 20*m - 22*m + 4. Let u be m/1 - (6*-4)/4. Determine j so that u*j**2 - 4*j**2 - 4*j**3 + 12*j**2 = 0.
0, 4
Suppose -7 = -w - 3*c, 4721 - 4712 = w + 5*c. What is k in -k**w + 0*k + 0 + 0*k**2 + k**3 + 1/4*k**5 = 0?
0, 2
Let q(p) = -6*p**4 + 204*p**3 + 372*p**2 + 162*p. Let a(z) = -z**4 + z**3 - z**2 - 3*z. Let b(y) = 9*a(y) - q(y). Determine w, given that b(w) = 0.
-63, -1, 0
Let w(v) be the third derivative of -v**6/210 + 23*v**5/105 + 169*v**4/42 + 290*v**3/21 - 44*v**2 + 5*v. Factor w(x).
-4*(x - 29)*(x + 1)*(x + 5)/7
Let b(m) = 5*m - 7. Let t be b(9). Let a = -29 + t. What is x in -a*x**3 + 38*x**4 + 38*x**4 - 117*x**4 + 3*x**5 - 3*x**2 + 6*x + 44*x**4 = 0?
-2, -1, 0, 1
Let d(j) = j + 1. Let q(s) = -4*s. Let p be q(-5). Let g = p + -31. Let k(x) = x**2 + 6*x + 4. Let w(h) = g*d(h) + 2*k(h). Suppose w(i) = 0. Calculate i.
-3/2, 1
Let o = -4981 + 4983. Let l be -2 - (-32 + 2) - -1. Factor l*r - 18*r - 17*r + 4 + 2*r**o.
2*(r - 2)*(r - 1)
Let j(c) be the second derivative of -c**4/3 + 36*c**3 - 306*c**2 - 2*c + 183. Let j(n) = 0. What is n?
3, 51
Let x(v) = -v**2 - 37*v + 3. Let t be x(-37). Suppose 5 = j - 2*i - t, 4*j + i = -4. Determine l so that -4/5*l**2 + j - 8/5*l = 0.
-2, 0
Suppose 260 - 71 = 88*u - r, 0 = 5*u + 3*r + 29. Suppose -6 + 3/8*x**u - 9/4*x = 0. What is x?
-2, 8
Let c(m) be the first derivative of -52/23*m**2 - 38 - 1352/23*m - 2/69*m**3. Factor c(g).
-2*(g + 26)**2/23
Let u(w) be the second derivative of w**5/100 - 53*w**4/60 - 83*w**3/15 - 56*w**2/5 - 1530*w. Find j such that u(j) = 0.
-2, -1, 56
Let w(q) be the second derivative of 2 - 31/6*q**3 - 13*q + 0*q**2 + 1/12*q**4. Factor w(i).
i*(i - 31)
Let t(d) be the third derivative of d**10/453600 - d**9/30240 - d**8/8640 - 7*d**5/60 - 8*d**2 + 4. Let c(w) be the third derivative of t(w). Factor c(h).
h**2*(h - 7)*(h + 1)/3
Let o = 789501/5 + -157897. Factor 2/5*m**2 - 2/5*m**4 + o*m - 2*m**3 + 2/5*m**5 + 8/5.
2*(m - 2)**2*(m + 1)**3/5
Let p(k) = 17*k**2 - 17*k - 7. Let n(r) = 9*r**2 - 9*r - 4. Let a = -41 - -34. Let x be (-2)/5*a*40/16. Let b(v) = x*n(v) - 4*p(v). Solve b(l) = 0.
0, 1
Let t be -5 + ((14 - -161)/5)/5. Let 20/7 + 2/7*v**4 - 6/7*v**t - 10/7*v**3 + 26/7*v = 0. What is v?
-1, 2, 5
Let v(x) be the first derivative of x**5/5 - x**4/4 - 52*x**3/3 - 82*x**2 - 144*x + 3037. Find j, given that v(j) = 0.
-4, -2, 9
Let w(m) be the first derivative of 5*m**4/4 + 65*m**3/3 + 115*m**2 + 240*m + 678. Find r such that w(r) = 0.
-8, -3, -2
Let l be (-110)/(-33)*300/24. Let f(t) be the first derivative of 8 + l*t + 1/12*t**4 + 5/3*t**3 + 25/2*t**2. Factor f(q).
(q + 5)**3/3
Let v(x) = -x**3 + 3*x**2 + 12*x - 3. Let r be v(5). Factor -2*o**3 + 2*o**2 + r*o - 5*o + 2*o.
-2*o*(o - 2)*(o + 1)
Let q(j) = -2*j - 1. Let v be q(1). Let b be (-13)/((-78)/252) + v/(-1). Factor -26*p - b + 104*p + 5*p**3 + 17*p - 55*p**2.
5*(p - 9)*(p - 1)**2
Factor 0 - 2411*c + 1411*c + 1326*c + 0 + 2*c**2.
2*c*(c + 163)
Let n be (0 - (-585)/3) + 8/2. Let 0*o**2 + 196*o - n*o + o**2 = 0. What is o?
0, 3
Let i(l) be the first derivative of l**4/40 + 37*l**3/30 - 59*l**2/10 + 8*l - 2836. Factor i(u).
(u - 2)*(u - 1)*(u + 40)/10
Suppose 30 = 7*u + 3*u. Let h(w) be the first derivative of -181*w**3 + 87*w**3 + u*w + 93*w**3 - 36. Determine t so that h(t) = 0.
-1, 1
Let o be (7*(-14)/(-147))/(5/6). Let c(u) be the first derivative of 4*u**2 + 0*u**3 - 2*u**4 - o*u**5 + 4*u + 14. Factor c(w).
-4*(w - 1)*(w + 1)**3
Suppose -34*d - 33 - 1 = 0. Let w(b) be the second derivative of -b**2/2 + b. Let s(u) = -5*u**2 + 8*u + 6. Let z(v) = d*s(v) - 2*w(v). Factor z(l).
(l - 2)*(5*l + 2)
Let w be ((-3)/(0 + 1))/(0 - 3). Let k be (w/3)/(12/144). Factor -7*z**4 + 2*z - 3*z**5 + z**k + z + 6*z**2.
-3*z*(z - 1)*(z + 1)**3
What is u in -196020 - 82368*u - 4/5*u**4 - 47224/5*u**2 - 832/5*u**3 = 0?
-99, -5
Let d(l) be the third derivative of -7/4*l**3 + 1/240*l**5 + 0*l - 11/96*l**4 + 0 - 252*l**2. Let d(w) = 0. What is w?
-3, 14
Let m be ((-49)/6*-1)/(500/2250). Factor -m - 21/2*v - 3/4*v**2.
-3*(v + 7)**2/4
Let 16*f - 13 + 346*f**2 + 94*f**2 + 4*f**5 - 262 - 13*f**3 - 7*f**3 - 88*f**4 - 77 = 0. What is f?
-2, -1, 1, 2, 22
Let t(c) be the third derivative of 0*c + 5/8*c**4 + 0*c**5 + 0 + 76*c**2 - 5/3*c**3 - 1/24*c**6. Factor t(v).
-5*(v - 1)**2*(v + 2)
Determine y so that -167 - 7779*y**3 - 177 + 13606*y**3 + 3604*y - 147*y**5 - 8845*y**4 - 13074*y**2 + 12228*y**3 + 2951*y**4 = 0.
-43, 2/7, 1/3, 2
Let g(s) be the first derivative of s**6/2 - 956*s**5/5 + 38239*s**4/2 - 16748*s**3 - 25281*s**2/2 + 547. Suppose g(p) = 0. Calculate p.
-1/3, 0, 1, 159
Suppose -3*x + 9 = 0, -20*b - 207 = -17*b - 3*x. Let r = b + 338/5. Factor -18/5*u**2 + 24/5 + 2/5*u**4 - r*u + 0*u**3.
2*(u - 3)*(u - 1)*(u + 2)**2/5
Let j = 47 - 61. Let c = 18 + j. Let a(g) = 9*g**2 + 14*g + 5. Let m(f) = -100*f**2 - 155*f - 55. Let w(d) = c*m(d) + 45*a(d). Solve w(s) = 0 for s.
-1
Let w = 553 - 544. Suppose -6 - 4 + 13 - 65*f**2 - 4 - w + 75*f = 0. Calculate f.
2/13, 1
Let s = 83610 - 83610. What is h in s - 8/5*h + 4/5*h**4 + 24/5*h**2 - 18/5*h**3 = 0?
0, 1/2, 2
Let w(h) be the first derivative of 0*h + 21/25*h**5 - 7/5*h**3 - 2/5*h**6 + 9/10*h**4 - 3/5*h**2 + 47. Suppose w(n) = 0. What is n?
-1, -1/4, 0, 1, 2
Let s(o) be the second derivative of -o**4/48 - 289*o**3/4 - 751689*o**2/8 + 755*o. Determine b, given that s(b) = 0.
-867
Let c(q) be the second derivative of -q**4/72 + 1151*q**3/18 - 1324801*q**2/12 + 57*q + 6. Factor c(p).
-(p - 1151)**2/6
Find r such that -1566 + 364*r + 4*r**5 + 1814 - 368*r**3 - 37*r**4 - 39*r**2 - 75*r**4 - 97*r**2 = 0.
-2, -1, 1, 31
Let s(k) be the first derivative of 12/11*k - 7/11*k**2 + 166 - 2*k**3. Let s(z) = 0. What is z?
-6/11, 1/3
Let s(f) be the second derivative of f**5/20 + 5*f**4/6 + 17*f**3/6 + 4*f**2 + 154*f. Factor s(v).
(v + 1)**2*(v + 8)
Suppose -3*b = -5*b + 3*u + 131, -u + 255 = 4*b. Let b*y**4 + 2032*y**3 + 31 + 1500*y**2 + 127*y + 264*y - 18*y = 0. Calculate y.
-31, -1/4
Let l(q) be the third derivative of q**7/840 + 11*q**6/96 + 129*q**5/40 + 351*q**4/8 + 333*q**3 + 184*q**2 + 4*q. Determine j so that l(j) = 0.
-37, -6
Let q = 320 - 297. Factor 86*c - 64 - 26*c - 60*c**3 + q*c**4 + 68*c**2 - 27*c**4.
-4*(c - 1)**2*(c + 1)*(c + 16)
Suppose -11*o = -9*o - 4. Factor -11800 + o*t**2 - 2*t**4 - 4*t**3 + 4*t + 11800.
-2*t*(t - 1)*(t + 1)*(t + 2)
Let y(r) be the second derivative of -115/9*r**3 + 0 + 5/72*r**4 + 2645/3*r**2 + 33*r. Factor y(x).
5*(x - 46)**2/6
Let k be ((-33)/165)/((-48)/160). What is w in 2/3*w**4 + 4/3 - 2/3*w**3 + k*w - 2*w**2 = 0?
-1, 1, 2
Let o be ((-735)/(-42))/(((-340)/24)/(-17)). Let a(p) be the first derivative of 12*p + 5 - 9/10*p**5 + 2