5*q**4 + 52/5*q - 16/5.
-4*(q - 4)*(q - 1)**3/5
Let g be -3 + 7863*14/147. Let f = -745 + g. Determine d, given that -18/7*d**3 + 9/7*d**5 - 6/7 + 12/7*d**2 - f*d**4 + 9/7*d = 0.
-1, 2/3, 1
Let f(b) be the third derivative of 0*b**4 + 0*b + 1/12*b**6 - 1/105*b**7 + 42*b**2 + 0 + 0*b**3 - 1/5*b**5. Factor f(o).
-2*o**2*(o - 3)*(o - 2)
Let p be 12483/12 + 2/(-8). Let h be (-12)/(-33) + p/286. Solve -12*y + 30*y**2 + 0 + 27/2*y**5 - 63/2*y**h - 3*y**3 = 0 for y.
-1, 0, 2/3, 2
Suppose 3*v + v - 8 = 0. Find k, given that -45*k**3 - 191*k**3 - 28627*k + 1427*k - 4*k**4 - 4560*k**v + 32000 = 0.
-20, 1
Factor -41466*k**3 - 159251*k**3 - 2412*k**4 + 1154401250 + 57807*k**3 + 0*k**5 - k**5 - 547409625*k - 14607200*k**2 + 1794*k**4.
-(k - 2)*(k + 155)**4
Let l = 27921 - 362971/13. Suppose -2/13*p**2 - l*p**3 + 2/13*p + 2/13 = 0. Calculate p.
-1, 1
Let d(c) = 38*c**3 - 716*c**2 - 1178*c + 1740. Let n(k) = -2*k**3 + 38*k**2 + 62*k - 92. Let v(j) = 6*d(j) + 116*n(j). Factor v(s).
-4*(s - 29)*(s - 1)*(s + 2)
Let z(t) be the third derivative of -t**6/72 + 5*t**5/6 + 55*t**4/6 - 287*t**3/6 + 174*t**2. Let a(p) be the first derivative of z(p). Factor a(b).
-5*(b - 22)*(b + 2)
Let y(n) be the third derivative of 2*n - 5/6*n**4 + 1/8*n**6 + 0*n**5 - 1/42*n**7 - 4*n**2 + 0 + 0*n**3. Factor y(f).
-5*f*(f - 2)**2*(f + 1)
Let i(d) be the first derivative of 3*d**2 - 7/16*d**4 - 13/4*d**3 - 32 + 30*d. Let j(c) be the first derivative of i(c). Let j(b) = 0. Calculate b.
-4, 2/7
Let z(y) be the first derivative of y**7/1050 - y**6/150 + y**5/75 - 32*y**3/3 + 15. Let n(q) be the third derivative of z(q). Determine u, given that n(u) = 0.
0, 1, 2
Let y(s) be the third derivative of s**7/420 - s**6/60 + s**5/30 - 15*s**3 - 3*s**2 + 14*s. Let x(p) be the first derivative of y(p). Let x(i) = 0. What is i?
0, 1, 2
Let z(f) = f**2 + 4*f + 3. Let r be z(-3). Suppose r = -k - 7 + 11. Solve 13*t**4 - 8*t**3 - t**4 - 16*t**4 + 8*t + k = 0 for t.
-1, 1
Let h = 607/137445 - 4/1309. Let t(g) be the third derivative of -1/7*g**4 + 0*g + 0*g**3 + 4/105*g**5 - h*g**7 + 0 + 1/420*g**6 + 3*g**2. Factor t(k).
-2*k*(k - 2)**2*(k + 3)/7
Determine q, given that -300/7 + 299/7*q + 1/7*q**2 = 0.
-300, 1
Suppose -801*h + 320 + 382 + 2502 = 0. Factor 1/6*j**h + 0 + 2/3*j**2 + 0*j - 5/6*j**3.
j**2*(j - 4)*(j - 1)/6
Let h(p) = p**2 - 8*p - 29. Let y be h(11). Suppose 6*m + y*m - 3*m = 0. Factor 2*c**2 + 2*c**2 + m*c**2 - 4*c**3.
-4*c**2*(c - 1)
Factor -6/5*v**2 - 8/5*v - 2/5.
-2*(v + 1)*(3*v + 1)/5
Let n(t) be the second derivative of t**4/24 + 23*t**3/36 + 7*t**2/6 - 52*t + 27. Let n(h) = 0. Calculate h.
-7, -2/3
Let u(g) be the second derivative of g**6/120 - 19*g**5/20 - 79*g**4/48 + 77*g**3/12 + 1202*g. Factor u(w).
w*(w - 77)*(w - 1)*(w + 2)/4
Let w = 61/40 + -17/8. Let u = 61/65 - w. Factor -u*c**3 - 12/13*c - 2/13 - 24/13*c**2 - 6/13*c**4.
-2*(c + 1)**3*(3*c + 1)/13
Let y(t) = -11*t**5 - 24*t**4 + 198*t**2 - 237*t + 82. Let a(p) = -7*p**5 - 16*p**4 + 131*p**2 - 158*p + 55. Let z(b) = 8*a(b) - 5*y(b). Factor z(v).
-(v - 1)**3*(v + 5)*(v + 6)
Let n(k) = 13*k + 242. Let d be n(-18). Determine h, given that 3*h**5 + 45*h**3 + 5*h + 36*h**2 + d*h**4 - 2*h + 10*h**4 + 9*h - 6*h**3 = 0.
-2, -1, 0
Determine a, given that 72*a - 132012 - 7*a**2 + 4*a**2 + 131592 = 0.
10, 14
Let x(y) be the second derivative of -4/3*y**3 - 100*y + 0*y**2 - 4/5*y**5 - 5/3*y**4 + 0 - 2/15*y**6. Determine p so that x(p) = 0.
-2, -1, 0
Let n(u) be the third derivative of -u**8/2184 - 58*u**7/1365 - 239*u**6/260 + 1798*u**5/195 - 961*u**4/39 + 4*u**2 - 4*u + 4. Solve n(i) = 0.
-31, 0, 2
Let u(j) be the first derivative of -5*j**6/6 - 31*j**5 - 1315*j**4/4 - 3265*j**3/3 + 660*j**2 + 3420*j + 3959. Determine f so that u(f) = 0.
-19, -6, -1, 1
Let n be 4/16*(-8)/(-5). Let g = -10806 + 10808. Factor -n*a - 3/5 + 1/5*a**g.
(a - 3)*(a + 1)/5
Suppose -25 - 5 = 6*n. Let a be (n/(10/12))/(-3). Factor -3*t + 2*t**2 - 7 + t + 5 + a*t**3.
2*(t - 1)*(t + 1)**2
Let n(x) be the second derivative of 5/4*x**4 - 2*x**3 - 3/20*x**5 + 13*x + 3 + 0*x**2. Determine y, given that n(y) = 0.
0, 1, 4
Let g(z) be the second derivative of 1/35*z**5 + 53*z + 0 - 2/21*z**3 + 3/7*z**4 - 18/7*z**2. Factor g(s).
4*(s - 1)*(s + 1)*(s + 9)/7
Factor 43*g**2 + 41*g**2 - 4591*g + 8670 - 162*g**2 + 266*g + 73*g**2.
-5*(g - 2)*(g + 867)
Suppose 3*c = -4*c - 3*x + 252, 2*c - 3*x - 72 = 0. Let o be 36/6 + c/(-48). Suppose 69/4*s**3 + 0 + 3*s - o*s**4 - 15*s**2 = 0. What is s?
0, 2/7, 1, 2
Let q(z) = -21 - 42*z**2 - 31*z**2 - 37*z**2 - 26*z + 99*z**2. Let j(w) = 181 - 103*w - 155*w**2 - 476 - 262*w. Let v(c) = 6*j(c) - 85*q(c). Factor v(b).
5*(b + 1)*(b + 3)
Let -2/5*c**4 + 408/5*c + 34/5*c**2 + 72 - 16/5*c**3 = 0. Calculate c.
-6, -1, 5
Let o(b) be the third derivative of 0 + 1/690*b**5 + 2/23*b**3 + 8*b**2 - 7/276*b**4 - b. Factor o(k).
2*(k - 6)*(k - 1)/23
Solve -3661 + 4083*r + 6301 + 19032*r + 10877 + 5*r**3 + 8928 + 675*r**2 = 0 for r.
-67, -1
Let t(o) be the third derivative of -o**8/336 + o**7/30 - 2*o**6/15 + 2*o**5/15 + 2*o**4/3 - 8*o**3/3 - 328*o**2 - 2*o. Factor t(z).
-(z - 2)**4*(z + 1)
Let q(d) be the first derivative of 3*d**5/10 + 135*d**4/4 - d**3/2 - 135*d**2/2 + 733. Solve q(k) = 0 for k.
-90, -1, 0, 1
Let -783*c + 3*c**2 + 5043 - 834*c + 1863*c = 0. What is c?
-41
Let d = -906 + 1569. Let b = d - 7283/11. Determine z, given that b*z**2 + 4/11*z + 0 = 0.
-2/5, 0
Let a(d) be the second derivative of d**6/15 + 3*d**5/10 - 3*d**4/2 - 23*d**3/3 - 12*d**2 - 4*d - 294. Find k, given that a(k) = 0.
-4, -1, 3
Let p be 0 + (-1 - 2)/(-1). Let c = 40970997/11 - 3724636. Factor -c*o**4 - 1/11*o**2 + 2/11 - 3/11*o**p + 3/11*o.
-(o - 1)*(o + 1)**2*(o + 2)/11
Let -4*j**3 - 39*j - 1/2*j**4 + 59/2*j**2 + 0 = 0. Calculate j.
-13, 0, 2, 3
Suppose 5*q - 15 = 10. Let w(u) = 3*u**2 + 8*u - 23. Let p(h) = 3*h**2 + 10*h - 22. Let j(n) = q*w(n) - 4*p(n). Find b, given that j(b) = 0.
-3, 3
Let k = -30727/3 - -10245. Let y(f) be the first derivative of 5/4*f**4 + 0*f - k*f**3 - 38 - 1/5*f**5 + 2*f**2. Factor y(s).
-s*(s - 2)**2*(s - 1)
Let y = -161294 - -806478/5. Determine k, given that -14/5*k**4 - 2/5*k**5 - y - 32/5*k - 10*k**2 - 38/5*k**3 = 0.
-2, -1
Suppose 2*b + 2*z = 6*b - 16, -5*b + 5*z = -25. Let m(h) be the third derivative of 25*h**2 - 1/12*h**5 + 0 + 5/3*h**b + 5/24*h**4 + 0*h. Factor m(u).
-5*(u - 2)*(u + 1)
Suppose 147*r = 149*r - 16. Determine p, given that 500*p**3 - 20*p**2 + 16 - 245*p**3 + r*p - 249*p**3 = 0.
-2/3, 2
Let w(u) be the first derivative of -2*u**3/45 - 4*u**2/15 + 1333. Factor w(b).
-2*b*(b + 4)/15
Suppose 251 = 9*a + 35. Suppose 115*f - 231*f + 48*f**4 + 119*f + a*f**3 - 21*f**2 = 0. What is f?
-1, 0, 1/4
Factor 2068/3*f - 2/9*f**2 - 534578.
-2*(f - 1551)**2/9
Let o(i) = -i**3 + 202*i**2 - 2453*i - 754. Let r be o(189). Let 2/15*c**r + 6/5*c - 6/5 - 2/15*c**3 = 0. What is c?
-3, 1, 3
Let u(n) be the first derivative of n**4 + 20*n**3/3 + 8*n**2 - 218. Let u(y) = 0. Calculate y.
-4, -1, 0
Let n(g) be the first derivative of 134 - 1/3*g**3 - 25/2*g**2 + 26*g. Solve n(r) = 0.
-26, 1
Let y(m) be the third derivative of m**6/540 - 11*m**5/135 + 19*m**4/36 - 1170*m**2. Determine k so that y(k) = 0.
0, 3, 19
Let f(z) be the first derivative of -1/9*z**4 + 48 + 484/9*z - 22*z**2 - 28/9*z**3. Suppose f(d) = 0. Calculate d.
-11, 1
Let m(z) be the first derivative of z**3 - 525*z**2/2 - 528*z + 1043. Solve m(r) = 0.
-1, 176
Let k(x) be the second derivative of -x**3/6 - 17*x. Let q(a) = a**2 - 2*a + 6*a**2 - 5*a**2 - a**2. Let s(g) = -10*k(g) + 4*q(g). What is b in s(b) = 0?
-1/2, 0
Let f(x) be the first derivative of 2/21*x**3 + 13/7*x**2 + 7 + 44/7*x. Determine p so that f(p) = 0.
-11, -2
Let h(g) be the third derivative of g**6/24 - 11*g**5/4 + 135*g**4/4 - 9073*g**2. Solve h(a) = 0.
0, 6, 27
Let h(y) be the third derivative of y**5/90 - 125*y**4/9 + 62500*y**3/9 + 239*y**2 - 2. Factor h(v).
2*(v - 250)**2/3
Let f be 4 - (-4 + 2 + (-56)/7). Suppose -5*z + 0 = -10. Solve -z*i - 14*i**3 + f*i + 7*i + 38*i**2 - 7*i = 0 for i.
-2/7, 0, 3
Let v(u) be the second derivative of 2*u**4 - 29 + 3/40*u**5 - 12*u**2 - 1/4*u**3 + 2*u. Determine p, given that v(p) = 0.
-16, -1, 1
Let y(g) be the third derivative of 18*g**2 - 359/15*g**6 - 418/21*g**7 - 4/3*