ative of 0*i**3 - 49*i**2 + 2 + 19/132*i**4 - 1/330*i**5 + 0*i. Factor p(d).
-2*d*(d - 19)/11
Determine c, given that -1124*c - 1153*c - 2*c**3 + 2019*c + 340 + 49*c**2 - 15*c**2 + 14*c**2 = 0.
2, 5, 17
Let h be (-22)/(-17)*(-29869)/(-14056). Solve -h*j + 1/4*j**2 + 5/2 = 0 for j.
1, 10
Let s = -65/2 + 33. Suppose 2*f + 4*n + 111 = 43, -3*f + 3*n = -51. What is o in -1/4 + s*o**3 - 1/2*o + 1/4*o**4 + f*o**2 = 0?
-1, 1
Let w(h) be the first derivative of h**4/2 + 380*h**3/3 + 9393*h**2 + 69192*h + 2445. Let w(c) = 0. Calculate c.
-93, -4
Let z(h) = 57*h + 744. Let p be (8 + -18 + -3)/(1 - 0). Let x be z(p). Find d, given that 4/17*d**x - 2/17*d**4 + 0 + 0*d - 2/17*d**2 = 0.
0, 1
Let h(d) = 6*d**2 - 2*d - 2. Let g(k) = 8*k**3 - 2278*k**2 - 2116*k - 498. Let i(r) = 2*g(r) + 42*h(r). Suppose i(x) = 0. Calculate x.
-1/2, 270
Let u(z) be the second derivative of z**4/78 + 97*z**3/39 + 42*z**2 + 9777*z. Determine j, given that u(j) = 0.
-91, -6
Solve -6290*s + 26622*s + 10*s**3 + 2*s**3 + 26792*s - 10*s**3 + 615*s**2 - 23716 = 0.
-154, 1/2
Factor -59/4*g**2 + 3*g**3 - 8 + 1/4*g**4 + 39/2*g.
(g - 2)*(g - 1)**2*(g + 16)/4
Let u(p) be the first derivative of -p**5/12 + 5*p**4/8 - 5*p**3/3 - 5*p**2/2 - 159. Let o(d) be the second derivative of u(d). Factor o(m).
-5*(m - 2)*(m - 1)
Let w(i) be the third derivative of 10*i**2 + 7/270*i**6 + 0*i + 0 + 10/27*i**4 + 2/15*i**5 + 16/27*i**3 + 2/945*i**7. Let w(z) = 0. What is z?
-2, -1
Let a(p) = p**4 - p**2. Let g(f) be the second derivative of -f**6/6 + 8*f**5/5 - 125*f**4/12 + 6*f - 2. Let v(h) = -6*a(h) - 2*g(h). Factor v(w).
4*w**2*(w - 8)**2
Let b(y) be the first derivative of -3*y**5/40 + 51*y**4/16 - 119*y**3/8 - 51*y**2/8 + 45*y + 2118. Suppose b(s) = 0. Calculate s.
-1, 1, 4, 30
Let t = -59167/3 - -295844/15. Solve t*p**2 + 6/5*p - 9/5 = 0 for p.
-3, 1
Let m = 69670 - 69670. Let 4/3*v**2 - 4/3*v - 1/3*v**3 + m = 0. Calculate v.
0, 2
Suppose -u = 5*b - 7*b + 12, 0 = -2*b + 2*u + 12. Suppose -6 = -5*t - 2*m, 4*t - 3 = -m + 3. Factor -b - 3*s**3 + s**4 + 4 + 3*s + 8*s**t - 7*s**2.
(s - 2)*(s - 1)**2*(s + 1)
Let s(x) = x**3 - 28*x**2 - 95*x + 64. Let k be s(31). Factor -98 - 100*n**2 - 26*n**k - 174*n - 75*n**3 - 69*n**2 - 5*n**4 - 11*n + 38.
-5*(n + 1)**3*(n + 12)
Let c(p) be the third derivative of -p**6/180 - 761*p**5/90 + 127*p**4/6 + 2*p**2 - 617*p + 4. Determine h so that c(h) = 0.
-762, 0, 1
Suppose 435*s = 431*s. Let k(o) be the first derivative of 0*o + 4 + 0*o**3 + s*o**4 + 0*o**2 + 1/27*o**6 - 4/45*o**5. Factor k(b).
2*b**4*(b - 2)/9
Suppose -o + f = 0, -3*o = -5*f + 1 + 7. Suppose 0*h**4 - 42 - 256*h - 96*h**2 - 150 + o*h**4 = 0. What is h?
-2, 6
Let v(h) be the first derivative of -9*h + 0*h**2 + 15 - 2/21*h**3 - 1/42*h**4. Let z(m) be the first derivative of v(m). Factor z(c).
-2*c*(c + 2)/7
Factor 40 - 2/3*z**3 + 32/3*z**2 + 154/3*z.
-2*(z - 20)*(z + 1)*(z + 3)/3
Let y = 47919/5 - 95833/10. Factor -y*x**2 - 2/3*x**3 + 2/3*x - 1/6*x**4 + 2/3.
-(x - 1)*(x + 1)*(x + 2)**2/6
Let s(a) be the second derivative of 59*a - 9/4*a**5 - 49/2*a**3 - 63/4*a**4 - 1/10*a**6 + 0 + 0*a**2. Suppose s(q) = 0. Calculate q.
-7, -1, 0
Let u be 2/((-4)/(-6)) + 39 + -40. Determine a, given that -2*a**3 - 261*a**2 + a**4 - u*a**4 - 4*a + 268*a**2 = 0.
-4, 0, 1
Let m(r) be the first derivative of r**3/15 + 3*r**2/5 + 9*r/5 - 1178. Factor m(l).
(l + 3)**2/5
Let v(f) = 6*f + 33. Suppose 2*n + 0*a + 20 = -2*a, 20 = -n - 3*a. Let x be v(n). Solve -x*b**3 + 3*b + 6*b - 6*b = 0.
-1, 0, 1
Factor -3/8*f**2 - 11 - 35/8*f.
-(f + 8)*(3*f + 11)/8
Let a(r) be the second derivative of 1936/5*r**2 + 3*r - 73 + 88/15*r**3 + 1/30*r**4. Find j such that a(j) = 0.
-44
Suppose 0 = -2*v + 7 - 3. Let x(f) = -f**3 + 4*f + 3. Let l be x(-3). Factor u**2 - 6*u**v - 3*u**3 + l - 13 + 5*u - 2*u**3.
-5*(u - 1)*(u + 1)**2
Let a be (1290/(-18) - 4)/1. Let q = 76 + a. Factor -1/3*f**2 - q*f + 2/3.
-(f - 1)*(f + 2)/3
Let x(j) = -2*j. Let y = -10 + 9. Let k be x(y). Let a(z) = 3*z**2 + 4*z + 2. Let f(o) = o**2 + o - 1. Let i(t) = k*f(t) + 2*a(t). What is d in i(d) = 0?
-1, -1/4
Let y(c) be the second derivative of 3*c**2 + 4/3*c**3 + 1/6*c**4 + 1 + 34*c. Let y(d) = 0. What is d?
-3, -1
Suppose 0 = 31*j - 48*j + 25857. Suppose -j*h - 24 = -1527*h. Determine l so that 0 + 4/3*l**h - 2/3*l**2 - 5/3*l**3 + 0*l + l**5 = 0.
-2, -1/3, 0, 1
Suppose -4*y + 4*j + 468 = 0, 5*y - 803 + 227 = 2*j. Factor 114 - y - 5*r**3 - 5*r**2 + 10*r.
-5*r*(r - 1)*(r + 2)
Let w be (-1)/((-5)/(-50))*4/(-10). Let x(j) = 7*j**3 - 14*j**3 - w*j**2 + 5 - j + 3*j**3. Let z(s) = s**3 + s - 1. Let y(p) = x(p) + 5*z(p). Factor y(n).
n*(n - 2)**2
Let m(x) = -21*x**4 - 270*x**3 + 735*x**2 - 252*x - 222. Let f(w) = -w**4 - 4*w**3 + w**2 - 2*w + 1. Let h(r) = 6*f(r) - m(r). Let h(g) = 0. Calculate g.
-19, -2/5, 1, 2
Let q(h) be the third derivative of -h**7/140 + 109*h**6/40 - 12721*h**5/40 + 11445*h**4/2 - 44100*h**3 - 163*h**2 + 27. What is p in q(p) = 0?
4, 105
Let p(h) be the third derivative of 0*h**4 - 1/420*h**7 + 1/240*h**6 + 0*h**3 - 8*h**2 + 1/120*h**5 - 1/672*h**8 + 0 + h. Factor p(v).
-v**2*(v - 1)*(v + 1)**2/2
Let k be (540/(-630))/(3/21*-3). Let u(l) be the first derivative of 0*l**k + 1/6*l**3 + 0*l - 17 + 1/8*l**4. Factor u(x).
x**2*(x + 1)/2
Let u be 5/(-50) + -3*(-183)/(-810) + 1. Let w(z) be the second derivative of 0*z**2 - 1/6*z**4 + 0 + 1/30*z**5 + u*z**3 - 19*z. Factor w(q).
2*q*(q - 2)*(q - 1)/3
Let p(v) be the first derivative of -5/11*v**4 - 12/11*v**2 + 46/33*v**3 + 26 + 0*v - 2/55*v**5. Determine r so that p(r) = 0.
-12, 0, 1
Let c(y) = -y**2 + y. Let x(f) = -4*f**2 - 4*f + 8. Let h be 9 + -3 - (4 - 0/(-1)). Let m(j) = h*x(j) - 6*c(j). Factor m(n).
-2*(n - 1)*(n + 8)
Let f be (-200)/2100 + 3364/42. Suppose -19*k**2 - 56 + f*k - 37 + 19*k**2 + 5 - 14*k**2 - 2*k**3 = 0. Calculate k.
-11, 2
Let h(o) = -40*o**3 + 660*o**2 - 416*o - 156. Let f(p) = 13*p**3 - 220*p**2 + 137*p + 52. Let u(n) = -8*f(n) - 3*h(n). Let u(b) = 0. What is b?
-1/4, 1, 13
Let -265/6 + 1/6*g**2 + 44*g = 0. Calculate g.
-265, 1
Factor -752/9*o**2 - 1492/9 - 2242/9*o - 2/9*o**3.
-2*(o + 1)*(o + 2)*(o + 373)/9
Let z be -3 + -4*15/(-12). Find i such that 3556 - 3556 + z*i**2 - 6*i = 0.
0, 3
Let i(r) = -6*r**3 + 141*r**2 + 411*r + 318. Let g(q) = -3*q**3 + 71*q**2 + 210*q + 160. Let s(d) = 9*g(d) - 4*i(d). Factor s(k).
-3*(k - 28)*(k + 1)*(k + 2)
Factor -2/5*f**2 + 0 + 498/5*f.
-2*f*(f - 249)/5
Let s = -683 + 685. Let y(j) = -2*j**3 + 472*j**2 - 33706*j + 843706. Let z(i) = -i**2 - 2*i + 2. Let b(o) = s*y(o) + 44*z(o). What is w in b(w) = 0?
75
Suppose -4*g + 5*c - 72 = 0, -1317 = -g - c - 1299. Let 102/7*z + 6/7*z**3 - 48/7 - 60/7*z**g = 0. What is z?
1, 8
Let s(p) be the first derivative of 864*p - 71 + 5529/2*p**3 - 125/12*p**6 - 11735/8*p**4 + 445/2*p**5 - 2268*p**2. Let s(k) = 0. What is k?
3/5, 8
Let i be 3003/147 + -21 + (-462)/(-637). Factor -194/13*s**2 + 528/13*s - i*s**4 - 288/13 - 44/13*s**3.
-2*(s - 1)**2*(s + 12)**2/13
Let x(d) be the first derivative of d**4/16 - 69*d**3/4 + 1377*d**2 - 7803*d - 1245. Factor x(j).
(j - 102)**2*(j - 3)/4
Let 1/3*c - 1/2*c**4 - 1/6*c**3 - 1/6*c**5 + 1/2*c**2 + 0 = 0. What is c?
-2, -1, 0, 1
Let x(h) be the third derivative of -h**5/20 + 9*h**4/8 + 5*h**3 - 11*h**2 - 18. Find o, given that x(o) = 0.
-1, 10
Let a(p) = -p**3 + p - 1. Let d(h) = -12*h**3 - 20*h**2 + 58*h - 10. Let w = 357 + -355. Let n(i) = w*d(i) - 20*a(i). Factor n(j).
-4*j*(j - 2)*(j + 12)
Let h = 448334 + -448332. Factor 8/7*i - 24/7 + 2/7*i**h.
2*(i - 2)*(i + 6)/7
Let w(z) = 2*z**2 - 65*z - 219. Let q(u) = -10*u**2 + 324*u + 1066. Let h(c) = -3*q(c) - 14*w(c). Suppose h(s) = 0. Calculate s.
-2, 33
Let y(g) be the first derivative of -2*g**5/25 - 39*g**4/10 - 6265. Let y(k) = 0. What is k?
-39, 0
Factor 3*i**2 - 1429*i + 80563 + 86525 + 13*i.
3*(i - 236)**2
Let f(h) = 17*h**3 - 73*h**2 + h + 91. Let q(o) = 3*o**3 + 2*o**2 + 1. Let m(s) = f(s) - 6*q(s). Suppose m(t) = 0. What is t?
-85, -1, 1
Suppose -14*b + 18 = -5*b. Solve -97*r**2 - 16 + 0*r**3 + 159*r - 53*r + 18*r**3 - 60*r**b = 0 for r.
2/9, 1/2, 8
Let f be ((-107)/6 - -7) + (-61 - -72). Solve -1/3*x**4 - f*x**5 + 1/3*x**3 - 1/3 - 1/6*x + 2/3*x**2 = 0.
-2, -1, 1
Let c(y) = y**4 + 71*y**3 + 302*y**2 + 356*y. Let i(j) = 5*j**4 