uch that n(q) = 0.
-1, 1/4, 1, 129
Let f(y) be the first derivative of 0*y + 55*y**2 + 5/3*y**3 - 103. Find g, given that f(g) = 0.
-22, 0
Let l be 3/1 - -830 - 7. Factor -826 - 45*p**3 + l + 10*p**2.
-5*p**2*(9*p - 2)
Let y(l) be the second derivative of 4/3*l**4 - 1/42*l**7 - 2/15*l**6 + 8/3*l**3 + 0*l**2 + 0*l**5 + 6*l + 0. Let y(s) = 0. Calculate s.
-2, 0, 2
Let v(k) be the first derivative of 2*k**3/3 - 41*k**2 + 228*k - 1384. Suppose v(l) = 0. Calculate l.
3, 38
Factor -3/7*x**3 - 432*x + 171/7*x**2 + 15552/7.
-3*(x - 24)**2*(x - 9)/7
Let x = -8/5 - -49/15. Suppose -1226 = 1129*n - 3484. Factor -40/3*m - x*m**n - 80/3.
-5*(m + 4)**2/3
Let m(p) be the third derivative of p**6/56 - 3*p**5/70 - 9*p**4/56 + p**3/7 + 7*p**2 - 6. Solve m(r) = 0.
-1, 1/5, 2
Let z(c) = -3*c**3 - c**2 + 6. Let d be z(-2). Let h be d/300 + 102/1275. Solve -h*m**3 - 1/6*m**2 + 0 + 1/3*m = 0 for m.
-2, 0, 1
Let a(t) = 3*t**2 + 7*t - 106. Let j be a(7). Find p such that 60*p**2 + 70*p**3 - j*p**4 + 11 + 19 - 6*p**5 - 95*p + 31*p**5 = 0.
-1, 3/5, 1, 2
Let p(x) = 15*x + 20. Let z be p(4). Suppose -5*s = 2*v - 133, -v + z = -s + 4*s. Let -s*b + 3 + 18*b + 8*b**2 - 3*b**3 + b**2 = 0. Calculate b.
1
Let s(j) be the third derivative of j**5/20 - 33*j**4/8 - 2287*j**2. Factor s(c).
3*c*(c - 33)
Let q(h) = 57*h**2 - 5*h + 8. Let g(z) = z**2 - 1. Let c(i) = g(i) + q(i). Let x(b) = 20*b**2 - 2*b + 2. Let w(k) = -2*c(k) + 7*x(k). Factor w(r).
4*r*(6*r - 1)
Let c be (-18 - (-4638)/(-9))*(44/8 + -6). Factor -16000/9 - 2/9*f**3 - 40/3*f**2 - c*f.
-2*(f + 20)**3/9
Let x(h) be the second derivative of -23*h**5/10 + 70*h**4/3 - 196*h**3/3 + 16*h**2 - 6194*h. Factor x(v).
-2*(v - 4)*(v - 2)*(23*v - 2)
Let f(c) be the first derivative of c**5/10 + 45*c**4/8 + 7*c**3 - 22*c**2 + 752. Factor f(q).
q*(q - 1)*(q + 2)*(q + 44)/2
Suppose -4*j + 2673 = -3*l - 2*l, 2685 = 4*j - l. Factor -14*q**4 + 45 + 4*q**4 + 845*q - 888*q**2 - 255*q**3 - j*q**2 - 45.
-5*q*(q + 13)**2*(2*q - 1)
Let h(v) = -v - 3. Let s be h(-8). Let d(l) = l**2 + l + 11. Let r be d(s). Solve 9 + 12 + 40*p + 4*p**4 + r*p**2 + 7*p**2 + 24*p**3 - 9 = 0 for p.
-3, -1
Let r(i) = -i**3 + 12*i**2 - 264*i + 1148. Let h be r(5). Solve 56/5*n**2 + 0 - 1/5*n**h - 784/5*n = 0.
0, 28
Let o(d) = -20*d**2 - 48*d - 4. Suppose i + 5*c = 24, 0*i = -i + c + 24. Let k(q) = -q**2 + 2. Let y(w) = i*k(w) - o(w). Solve y(r) = 0.
-1, 13
Let j(q) be the second derivative of 2*q**6/75 + 12*q**5/25 - 34*q**4/15 - 408*q**3/5 - 1134*q**2/5 + 1245*q. Factor j(b).
4*(b - 7)*(b + 1)*(b + 9)**2/5
Let d(s) = s**2 + 1. Let u(f) = -4*f**3 - 588*f - 44*f**2 - 15*f**3 - 2746 + 18*f**3. Let b(w) = 4*d(w) + 2*u(w). Suppose b(n) = 0. Calculate n.
-14
Let v be (-784)/(-245) + (-12)/(-15). Let b(y) be the first derivative of 13 + 8/3*y**3 + 0*y**2 - y**v + 0*y. Determine f, given that b(f) = 0.
0, 2
Let x = -2748 + 2748. Let u(r) be the second derivative of -1/24*r**4 + 19*r + 0*r**2 + x + 1/3*r**3. Factor u(y).
-y*(y - 4)/2
Determine v, given that -452 + 232/3*v - 1/3*v**2 = 0.
6, 226
Factor -35 - 17*c - 22*c + c**2 - 40 + 0*c**2 - 7.
(c - 41)*(c + 2)
Solve -5*r**5 + 15*r**3 - 65*r**2 + 69*r**4 - 50*r - 167*r**4 + 123*r**4 = 0.
-1, 0, 2, 5
Let i be (-10)/(-2) - ((-2)/1 - 2). Suppose 146*k**2 + 8*k - 148*k**2 + 0 - i + 1 = 0. Calculate k.
2
Let z(r) be the first derivative of -r**5/60 - 3*r**4/4 - 17*r**3/6 - r**2 - 101*r - 120. Let l(b) be the second derivative of z(b). Factor l(y).
-(y + 1)*(y + 17)
Let b be (24/(-36))/(4/678). Let h = b - -215. Factor 24*i**3 + 3*i**4 + 30*i + h*i**2 + 93*i**2 - 144*i**2.
3*i*(i + 1)*(i + 2)*(i + 5)
Let t(i) be the second derivative of -1/102*i**4 + 0 - 77*i - 8/17*i**2 + 10/51*i**3 - 1/170*i**5. Factor t(l).
-2*(l - 2)*(l - 1)*(l + 4)/17
Let v(p) = -p**3 - 25*p**2 - p - 21. Let a be v(-25). Let y(k) be the first derivative of 1/20*k**a - 1/5*k + 5 - 1/5*k**3 + 3/10*k**2. Solve y(z) = 0.
1
Let d = 1094 + -1092. Let u(j) be the third derivative of 0 - 7*j**d + 0*j - 1/3*j**3 + j**4 - 6/5*j**5. Solve u(b) = 0.
1/6
Let s(r) be the second derivative of -3/80*r**5 + 5/2*r**3 - 61*r + 0*r**2 - 1/16*r**4 + 0. Factor s(c).
-3*c*(c - 4)*(c + 5)/4
Factor -126*w - 182*w + 5*w**2 - 400 + 1163*w - 2035 + 1575*w.
5*(w - 1)*(w + 487)
Suppose -6*y = -44 + 68. Let c be y/(92/(-18) - -3). Factor -c*p**2 - 14/19*p**3 - 2/19*p**4 - 16/19 - 40/19*p.
-2*(p + 1)*(p + 2)**3/19
Let g(r) be the second derivative of -r**6/600 + 9*r**5/200 + 11*r**4/20 + 121*r**3/6 + r - 14. Let y(l) be the second derivative of g(l). Factor y(v).
-3*(v - 11)*(v + 2)/5
Let k(m) be the first derivative of 0*m + 53 + 2/3*m**3 - 3*m**2. Let k(u) = 0. Calculate u.
0, 3
Let x be 14/28*(-2 - -6). Let -4*j - j**x + j + 20*j = 0. Calculate j.
0, 17
Let l(f) be the second derivative of f**5/420 - f**4/24 + 2*f**3/7 + 101*f**2/2 + 34*f. Let m(s) be the first derivative of l(s). Let m(u) = 0. What is u?
3, 4
Let n(k) = -5*k**4 - 255*k**3 + 2840*k**2 - 9435*k + 9595. Let i(w) = 5*w**4 + 254*w**3 - 2840*w**2 + 9436*w - 9596. Let p(o) = 5*i(o) + 4*n(o). Factor p(v).
5*(v - 4)**2*(v - 2)*(v + 60)
Suppose 4*z - 5*i = 6, 12 - 10 = -z + 3*i. Factor -z*o - 16 - 16*o**4 + 0 + 4*o**3 + 16*o**2 + 16.
-4*o*(o - 1)*(o + 1)*(4*o - 1)
Solve -2/3*g**5 + 1759684/3*g**2 + 1752190/3*g - 3746/3*g**4 - 1752188/3*g**3 - 1755938/3 = 0 for g.
-937, -1, 1
Let w = -75741 - -75744. Suppose 16/5*h + 8/5*h**4 - 4*h**w + 4/5*h**5 + 32/5 - 8*h**2 = 0. Calculate h.
-2, -1, 1, 2
Let x(a) be the second derivative of a**4/9 + 80*a**3 + 718*a**2/3 + 6849*a. Factor x(u).
4*(u + 1)*(u + 359)/3
What is p in 6/7*p**2 - 23004/7*p + 22049334/7 = 0?
1917
Let v(s) be the second derivative of -10/3*s**3 - 1/60*s**5 - 7/18*s**4 - 12*s**2 + 2*s - 1. Suppose v(p) = 0. Calculate p.
-6, -2
Let q(f) be the second derivative of -3/80*f**5 + 0*f**3 + 75*f + 0*f**2 + 0 + 7/16*f**4. Find u, given that q(u) = 0.
0, 7
Solve -86*s**2 + 273*s**2 - 216 - 79*s**2 - 92*s**2 - 60*s = 0.
-9/4, 6
Let d(k) = 2*k + 13. Let m be d(1). Find s, given that 105*s**3 - 12*s**5 + 23*s**4 - 5*s**4 + 105*s**2 - 7*s**4 + m*s + 4*s**4 - 12 = 0.
-1, 1/4, 4
Let f(b) = -35*b + 105. Let v be f(3). Let y(s) be the third derivative of 0*s + v + 3/8*s**3 + 1/16*s**4 + 1/240*s**5 - 14*s**2. Factor y(m).
(m + 3)**2/4
Let w(t) = -62*t**3 + 2*t**2 + 3*t + 2. Let f be w(-1). Let i = -60 + f. Suppose 4*o - 3*o**3 + 45 + i + 24*o + 8*o = 0. What is o?
-2, 4
Solve -c**2 + 1/10*c**3 - 143/10*c + 726/5 = 0.
-12, 11
Let x be -6*(-3 + ((-24)/(-27))/(30/95)). Let y(n) be the first derivative of -8/3*n**2 - 1/6*n**4 + 15 - x*n**3 - 8/3*n. Factor y(i).
-2*(i + 1)*(i + 2)**2/3
Let l be ((108/15)/(-2)*5)/2. Let n(b) = 11*b**2 + 5*b + 6. Let u(x) = -26*x**2 - 11*x - 12. Let m(j) = l*n(j) - 4*u(j). Factor m(y).
(y + 1)*(5*y - 6)
Let p = -77795/108 + -509/54. Let x = 730 + p. What is o in 1/2*o**2 - 2 - x*o**3 + o = 0?
-2, 2
Let u(i) be the third derivative of i**5/90 - 959*i**4/72 + 239*i**3/3 - i**2 + 3*i - 2525. Let u(p) = 0. What is p?
3/2, 478
Let j = -7 - -22. Factor -6*f**3 + 5*f**2 + j - 2*f**3 - 25*f + 13*f**3.
5*(f - 1)**2*(f + 3)
Let y(p) be the third derivative of 0*p + 2 + 27*p**2 + 0*p**3 + 1/280*p**7 - 1/8*p**4 + 1/40*p**6 - 1/80*p**5. Find o, given that y(o) = 0.
-4, -1, 0, 1
Let p(l) be the third derivative of -l**6/30 - 698*l**5/5 - 243602*l**4 - 680136784*l**3/3 + 3*l**2 - 2. Factor p(x).
-4*(x + 698)**3
Let s(t) = -t**2 - 3*t + 33. Let i be s(-7). Suppose 0 = -i*c + 5*r + 15, -c - 5*r = -0*r - 3. Solve 2/7*v**c - 2/7*v - 4/7 + 4/7*v**2 = 0.
-2, -1, 1
What is u in 379 + 307*u**2 + 2768 - 1815*u - 438 - u**3 = 0?
3, 301
Let x = 994 - 952. Let f be (8/x)/(27/(810/20)). Factor 0 - 4/7*l**4 - 1/7*l**5 - f*l**2 - 5/7*l**3 + 0*l.
-l**2*(l + 1)**2*(l + 2)/7
Let t(i) = 10*i**3 + 466*i**2 - 1256*i + 636. Let q(x) = 9*x**3 + 464*x**2 - 1256*x + 635. Let n(y) = -4*q(y) + 3*t(y). Suppose n(c) = 0. What is c?
-79, 2/3, 2
Factor -50/7*j**2 + 110 + 1/7*j**3 - 289/7*j.
(j - 55)*(j - 2)*(j + 7)/7
Let r(y) be the first derivative of 216*y - 156 - 18*y**2 + 1/2*y**3. Factor r(f).
3*(f - 12)**2/2
Let b(x) be the second derivative of -x**5/80 - 19*x**4/32 + 12*x**2 - 2*x - 22. Let d(c) be the first derivative of b(c). Suppose d(l) = 0. What is l?
-19, 0
Let o = 1634166 - 1634162. Find x