 - 2/7 - 2/7*r + 2/7*r**3.
2*(r - 1)*(r + 1)**2/7
Let r = 629/280 - 47/21. Let i(b) be the third derivative of 0*b**3 + r*b**5 + 0 - 1/240*b**6 + 0*b + 7*b**2 + 0*b**4. Let i(t) = 0. Calculate t.
0, 1
Let x(s) be the third derivative of -5*s**8/672 + 23*s**7/840 + 7*s**6/40 - 11*s**5/15 - 11*s**4/6 + 14*s**3 - 7158*s**2. Suppose x(r) = 0. Calculate r.
-2, 3/2, 2, 14/5
Let a(p) be the third derivative of 0 - 1/480*p**5 - 2*p**2 + 1/64*p**4 - 1/1680*p**7 + 1/24*p**3 + 18*p - 1/320*p**6. Determine o, given that a(o) = 0.
-2, -1, 1
Let m be 1233 + (-5 - -1 - (-3)/3). Let h be (-3)/2 - m/(-60). Suppose 0*g + 43 + 9*g - 3 + h*g + 4*g**2 = 0. What is g?
-5, -2
Let x(d) be the first derivative of -111 + 1/4*d**4 + 1/6*d**5 + 0*d**3 + 1/36*d**6 + 0*d + 0*d**2. Determine v so that x(v) = 0.
-3, -2, 0
Determine w, given that 195938/3 + 2/3*w**2 - 1252/3*w = 0.
313
Let q(f) be the third derivative of f**6/200 - 2*f**5/5 - 43*f**4/10 - 88*f**3/5 + 72*f**2 + 2*f. Factor q(b).
3*(b - 44)*(b + 2)**2/5
Let k(w) = 7*w**4 - 6*w**3 + 31*w**2 - 60*w + 28. Let v(g) = 2*g**2 + g**4 + 321*g**3 - 4*g**2 - 320*g**3. Let y(x) = -k(x) + 6*v(x). Factor y(i).
-(i - 7)*(i - 2)**2*(i - 1)
Let z(i) be the third derivative of -i**5/15 + 106*i**4/3 + 2689*i**2. Factor z(c).
-4*c*(c - 212)
Let d(z) be the third derivative of -z**5/180 + 817*z**4/36 - 667489*z**3/18 + 3*z**2 - 765*z - 1. Determine q, given that d(q) = 0.
817
Let f(g) be the second derivative of -g**4/12 + 20*g**3/3 + 441*g**2/2 - 5481*g. Suppose f(b) = 0. Calculate b.
-9, 49
Let y(f) be the third derivative of -f**5/150 - 133*f**4/20 - 457*f**2 + f. Solve y(q) = 0.
-399, 0
Suppose -11 - 23 = -5*i - 2*s, 0 = s - 2. Let u(j) be the third derivative of -4*j**4 - 3/5*j**5 - 19*j**2 + 0 + 11/30*j**i + 0*j - 8/3*j**3. Factor u(y).
4*(y - 2)*(y + 1)*(11*y + 2)
Let q(f) be the first derivative of 1/2*f**4 + 0*f + 0*f**2 - 106 + 4/9*f**3 + 0*f**5 - 1/9*f**6. Factor q(g).
-2*g**2*(g - 2)*(g + 1)**2/3
Let v(l) be the third derivative of 3*l**6/40 + 659*l**5/60 + 397*l**4/12 + 24*l**3 - 6014*l**2. Let v(g) = 0. What is g?
-72, -1, -2/9
Let u(i) be the third derivative of i**9/22680 + i**8/2520 - i**7/315 - 79*i**4/24 - i**3/3 + 80*i**2. Let v(a) be the second derivative of u(a). Factor v(q).
2*q**2*(q - 2)*(q + 6)/3
Let n(c) be the third derivative of -c**7/6300 + c**6/225 - c**4/6 - c**3/6 - 26*c**2. Let p(t) be the second derivative of n(t). Factor p(d).
-2*d*(d - 8)/5
Let a(c) = -6*c**4 - 203*c**3 - 625*c**2 - 626*c - 198. Let y(s) = -s**4 - 34*s**3 - 104*s**2 - 104*s - 33. Let b(d) = -2*a(d) + 13*y(d). Factor b(v).
-(v + 1)**3*(v + 33)
Let r be ((-15)/35)/(12 - 510/42). Solve -1/3*b**r + 4/3*b**2 + 0 - 1/3*b**4 + 4/3*b = 0.
-2, -1, 0, 2
Let z(c) be the first derivative of -112/3*c**2 + 128/3*c + 68 + 98/9*c**3. Determine g so that z(g) = 0.
8/7
Let f = 67517/15 - 4501. Let -f*u**4 - 236/15*u**2 - 54/5 - 24*u - 8/3*u**3 = 0. Calculate u.
-9, -1
Suppose -6*c + 146 + 214 = 0. Factor -132 - 6*o**3 + 48*o**3 + 26*o**3 - 4*o**4 + 400*o - c - 272*o**2.
-4*(o - 12)*(o - 2)**2*(o - 1)
Let w = -249051/940 - -164/235. Let k = w - -265. Let 0 - k*a**2 + 3/4*a = 0. Calculate a.
0, 1
Let t be (-1)/(-1 - 0) - 300/309. Let m = 833/309 - t. Let 4/3 + m*j + 4/3*j**2 = 0. Calculate j.
-1
Suppose 15 = 5*t + 5*n, -974 + 962 = -2*t - 4*n. Factor 1/4*l**3 - 3/4*l**2 + 1/2*l + t.
l*(l - 2)*(l - 1)/4
Let g(p) be the second derivative of -p**5/20 - p**4/4 - p**3/3 - 677*p. Factor g(y).
-y*(y + 1)*(y + 2)
Suppose -32014 = -618*d + 2594. Determine o, given that -29/2*o**3 - 54*o**2 + 32 - 5/4*o**4 - d*o = 0.
-4, 2/5
Suppose 33*s**3 + 0 - 567/4*s**2 + 108*s + 3/4*s**4 = 0. What is s?
-48, 0, 1, 3
Let a = 57920 + -289564/5. What is k in -3/5*k**4 - 12/5*k - 27/5*k**2 + a + 18/5*k**3 = 0?
-1, 2, 3
Let s(b) be the first derivative of 25*b**2 - 62 - 5/3*b**3 - 45*b. Factor s(l).
-5*(l - 9)*(l - 1)
Let i(t) = 1. Let d(u) = 5*u**2 - 5*u - 16. Suppose -76*j + 81*j + 5 = 0. Let o(y) = j*d(y) - 6*i(y). Factor o(h).
-5*(h - 2)*(h + 1)
Solve 306*l + 271*l + 914 - 95*l + 243*l - 190 + l**2 = 0.
-724, -1
Let k = 41931/6314 + -758/123. Let b = 5/231 + k. Factor b*a**2 + 32 - 8*a.
(a - 8)**2/2
Let a(t) = -3*t**2 + 686*t - 30683. Let s be a(61). Solve s*u - 2/3*u**4 + 0*u**3 - 2/3 + 4/3*u**2 = 0 for u.
-1, 1
Let s(w) be the first derivative of w**6/15 - 14*w**5/25 - 11*w**4/10 + 254*w**3/15 - 14*w**2 - 80*w + 1109. Suppose s(n) = 0. What is n?
-4, -1, 2, 5
Let f be (32/128)/((-7)/(-42)). Solve l**2 + f + 11/4*l - 1/4*l**3 = 0 for l.
-1, 6
Factor 2/3*b**3 + 232/9*b + 0 + 698/9*b**2.
2*b*(b + 116)*(3*b + 1)/9
Determine p so that 47*p**4 + 20*p**3 + 14*p**3 - 36*p + 13*p**2 + 2*p**5 - 65*p**4 - 6*p**2 + 11*p**2 = 0.
-1, 0, 1, 3, 6
Factor -6872*m**2 - 363*m**3 - 21359*m**2 - 4527*m**2 + 66248 + 33852*m - m**4.
-(m - 2)*(m + 1)*(m + 182)**2
Let x(a) = 8*a**2 + 45*a - 48. Let i(r) = 10*r**2 + 44*r - 64. Let s(b) = -3*i(b) + 4*x(b). Factor s(u).
2*u*(u + 24)
Suppose -3/4*q**2 + 1500*q - 750000 = 0. Calculate q.
1000
Let y = 3604/5 - 7791/20. Suppose 375/4*v**4 + y*v + 375/4 + 905/2*v**2 + 45/4*v**5 + 595/2*v**3 = 0. Calculate v.
-3, -5/3, -1
Let o(w) be the third derivative of -w**7/42 - 67*w**6/24 - 313*w**5/12 - 295*w**4/8 + 465*w**3 + 37*w**2 + 9*w + 1. Factor o(d).
-5*(d - 1)*(d + 3)**2*(d + 62)
Let k(d) = -d**2 - 1. Let h(r) = 5*r**3 + 62*r**2 + 175*r + 122. Let w be 36/(-54) - 1/3. Let g(b) = w*h(b) - 2*k(b). Factor g(f).
-5*(f + 1)*(f + 3)*(f + 8)
Let d(t) be the third derivative of t**10/15120 - t**8/1120 - t**7/630 - 37*t**4/12 + 15*t**2. Let f(q) be the second derivative of d(q). Factor f(u).
2*u**2*(u - 2)*(u + 1)**2
Let i(c) be the second derivative of 19/20*c**5 + 3/10*c**6 + 43 - 6*c**2 + 1/42*c**7 - 10/3*c**3 - 2*c + 1/4*c**4. Let i(o) = 0. Calculate o.
-6, -2, -1, 1
Let n(q) be the third derivative of 105*q + 0*q**4 + 3/20*q**6 + 0 + 7/45*q**5 + 4/105*q**7 - 1/504*q**8 + 0*q**3 + q**2. Determine p so that n(p) = 0.
-1, 0, 14
Suppose -2*i + 850 = -1860. Determine z so that -16 + i*z**2 + 35*z**5 - 18*z**4 - 164 + 2826*z**3 - 1041*z**3 + 80*z + 743*z**4 = 0.
-18, -1, 2/7
Let f(z) be the second derivative of z**4/18 + 446*z**3 + 1342683*z**2 + 2*z + 155. Factor f(m).
2*(m + 2007)**2/3
Let x(g) be the first derivative of 7*g**4/8 + 11*g**3/2 + 9*g**2 - 1532. Factor x(k).
k*(k + 3)*(7*k + 12)/2
Let o = 11980 + -11980. Let f(l) be the first derivative of 0*l**2 + 0*l + 19 + 1/8*l**6 - 3/16*l**4 + o*l**5 + 0*l**3. Let f(y) = 0. What is y?
-1, 0, 1
Let k(u) be the second derivative of 19*u - 1/90*u**4 - 245/3*u**2 + 14/9*u**3 + 0. Suppose k(h) = 0. Calculate h.
35
Find v such that -94 + 30 + 30 + 34 - 4*v**4 + 304*v**3 + 308*v**2 = 0.
-1, 0, 77
Let z(j) be the third derivative of j**7/420 - j**6/120 - j**5/120 + j**4/24 - 379*j**2. Factor z(u).
u*(u - 2)*(u - 1)*(u + 1)/2
Let b(v) be the third derivative of v**6/90 + 2*v**5/9 - 9*v**4/2 - 20*v**3 - 4*v**2 + 26*v + 46. Factor b(d).
4*(d - 6)*(d + 1)*(d + 15)/3
Let x(g) = g**2 - 5*g - 265. Let n be x(-14). Let t be ((4 - (-16)/(-4))/n)/(-3). Factor 1/5*j**3 - 1/5*j**4 + 2/5*j**2 + 0 + t*j.
-j**2*(j - 2)*(j + 1)/5
Suppose -129 = 22*j - 19*j. Let s = j - -45. Suppose -2128 + 2*w**4 + 2128 - s*w**5 = 0. What is w?
0, 1
Suppose -a + 0*a + 6 = 0. Suppose -4*n - 416 = -a*n. Factor -5*p + 60*p**3 - 10 - 63*p**2 + n*p**2 + 80*p**3.
5*(p + 1)*(4*p - 1)*(7*p + 2)
Let v(y) be the third derivative of 1/6*y**5 + 2*y**2 + 1/30*y**6 + 0 + 1/3*y**4 + 1/3*y**3 - 29*y. Determine c, given that v(c) = 0.
-1, -1/2
Suppose 17*y - 14 = 10*y. Determine d, given that -2*d**3 + 0*d**3 + 5*d - 1430*d**y + d**3 + 1434*d**2 = 0.
-1, 0, 5
Let 76 - 19*i**2 - i + 1/4*i**3 = 0. Calculate i.
-2, 2, 76
Suppose 5*l + 23 = 3*d - 7, -l = -2*d + 13. Let q be (-4*3/(-18))/((-5)/l). Factor 1/5*w + w**2 + q*w**5 + 7/5*w**4 + 0 + 9/5*w**3.
w*(w + 1)**3*(2*w + 1)/5
Let g be 3*69*141/8648. Find m, given that 27/4*m**4 - 3*m**3 - 3/4*m**2 + 0 - g*m**5 + 3/8*m = 0.
-1/3, 0, 1/3, 1
Let r(l) be the third derivative of 0*l + 0*l**3 - 56*l**2 + 1 - 1/30*l**5 + 1/105*l**7 - 13/12*l**4 + 13/60*l**6. Factor r(y).
2*y*(y - 1)*(y + 1)*(y + 13)
Let f be (-130914)/98469 - (-4)/3. Let h = f - -1559/1042. Factor h*t**3 + 27/2*t + 0 - 9*t**2.
3*t*(t - 3)**2/2
Let b(a) = 