/2, 0, 1, 8
Let s(g) = 8*g - 85. Let p be s(19). Factor p*y + 237*y**2 - 192*y**2 + 5*y**4 + 43*y - 60*y**3.
5*y*(y - 11)*(y - 2)*(y + 1)
Suppose -9*y + 10*y + 5*c = -17, -3*y - 2*c = -14. Factor 4*a**2 + 2*a + a**3 + a - y*a - 16 + a.
(a - 2)*(a + 2)*(a + 4)
Let y(u) be the first derivative of -u**6/780 - u**5/195 + 2*u**4/39 + 9*u**2/2 + 10. Let g(l) be the second derivative of y(l). Factor g(a).
-2*a*(a - 2)*(a + 4)/13
Let p(i) be the second derivative of 2*i**7/189 + i**6/15 + 7*i**5/45 + i**4/6 + 2*i**3/27 - 1324*i. Let p(v) = 0. What is v?
-2, -1, -1/2, 0
Let f(b) be the second derivative of 0 - 130*b + 2/15*b**4 - 27/5*b**3 + 4*b**2. Let f(l) = 0. Calculate l.
1/4, 20
Let l(n) = -36*n**4 + 19*n**3 - 4*n**2 - 5. Let i(x) = -18*x**4 + 10*x**3 - 2*x**2 - 2. Let d be 2/3*(4 + -7). Let p(k) = d*l(k) + 5*i(k). Factor p(b).
-2*b**2*(3*b - 1)**2
Let a(i) be the first derivative of 15*i + 0*i**4 + 3/20*i**5 - 3*i**2 - 16 - 3/2*i**3. Let n(b) be the first derivative of a(b). Factor n(c).
3*(c - 2)*(c + 1)**2
Let j(l) be the first derivative of 3*l**4/8 + 367*l**3/2 - 276*l**2 - 5659. Determine q so that j(q) = 0.
-368, 0, 1
Let d(n) = -6*n**2 + 12*n + 5. Let r = 67 - 72. Let u(t) = t**2 - t - 3. Let l(q) = r*u(q) - d(q). Factor l(j).
(j - 5)*(j - 2)
Suppose -10*o + 306 = 24*o. Factor 5 - o - 2*c + 22*c - 2*c - 4 - 4*c**2.
-2*(c - 4)*(2*c - 1)
Solve 0*a**2 - 1/2*a**4 + 0*a + 0 + 419/2*a**3 = 0 for a.
0, 419
Let q(z) = -3*z**3 + 84*z**2 + z - 19. Let r be q(28). Let u(o) be the first derivative of -1/6*o**3 + 2*o + r - 4/3*o**2. Determine w, given that u(w) = 0.
-6, 2/3
Suppose -1/3*b**4 - 2*b**3 + 0*b - 8/3*b**2 + 0 = 0. What is b?
-4, -2, 0
Factor -2/13*x**2 - 37544 - 152*x.
-2*(x + 494)**2/13
Let m(y) be the first derivative of 22/3*y**3 + 2/5*y**5 - 3*y**4 + 0*y - 6*y**2 + 92. Let m(h) = 0. Calculate h.
0, 1, 2, 3
Let w(m) be the third derivative of m**8/168 - 2*m**7/21 + 2*m**6/15 + 32*m**5/15 + 26*m**2 + 29. Factor w(p).
2*p**2*(p - 8)*(p - 4)*(p + 2)
Suppose -32 = -12*c + 76. Let r(f) = 6*f**2 - 2*f - 40. Let p(n) = -13*n**2 + 3*n + 81. Let b(l) = c*r(l) + 4*p(l). Factor b(o).
2*(o - 6)*(o + 3)
Let m(h) be the first derivative of -5*h**4/4 - 35*h**3/3 + 5*h**2/2 + 35*h + 2304. What is f in m(f) = 0?
-7, -1, 1
Let d(b) = b**5 - b**4 + b**3 - b**2 + b - 1. Let c(g) = 7*g**5 - 19*g**4 + 107*g**3 - 75*g**2 - 309*g + 373. Let l(j) = c(j) - 11*d(j). Factor l(p).
-4*(p - 2)**3*(p + 2)*(p + 6)
Let r(b) = -150*b**4 - 15060*b**3 - 5868*b**2 + 9021*b. Let n(w) = 15*w**4 + 1506*w**3 + 587*w**2 - 902*w. Let c(z) = 21*n(z) + 2*r(z). Solve c(p) = 0 for p.
-100, -1, 0, 3/5
Suppose 26*m - 22*m - 652 = 0. Determine z, given that -14 + m*z - 1 - 21 - 189*z**2 + 41*z = 0.
2/9, 6/7
Let x(k) = -12*k**2 - 6*k. Let a(t) = 9 + t**2 + 0*t + 0*t**2 - 10 + 3 - t. Let q(f) = 15*a(f) + x(f). Factor q(s).
3*(s - 5)*(s - 2)
Let g(j) be the first derivative of -10*j**3 - 106*j**2 - 14*j + 2472. Factor g(m).
-2*(m + 7)*(15*m + 1)
Let m = -3 + 0. Let r be 3 - (2 + 2) - m. Factor 4 - 6*p**r + 77*p - 3*p**3 - 16 - 56*p.
-3*(p - 1)**2*(p + 4)
Let c(b) be the third derivative of -b**6/120 - b**5/9 - b**4/6 + 65*b**2 - 11. Factor c(t).
-t*(t + 6)*(3*t + 2)/3
Suppose -2*y - 50 = -7*y. Let v(r) = -1075*r - 2147. Let b be v(-2). Solve -50*p**5 + 2*p**3 - 38*p**5 - y*p**4 + 93*p**5 + 3*p**b = 0 for p.
0, 1
Let o(r) be the third derivative of -r**5/30 - 47*r**4/4 - 278*r**3/3 + r**2 - 868*r. Factor o(x).
-2*(x + 2)*(x + 139)
Find k, given that 189/5 - 11/5*k**2 - 58*k = 0.
-27, 7/11
Let r(f) be the first derivative of -8/3*f**6 - 16*f**5 - 13*f**4 + 34*f**2 + 16*f - 56 + 64/3*f**3. Solve r(z) = 0 for z.
-4, -1, -1/2, 1
Let c(o) be the first derivative of -42 - 2*o**3 - 1/2*o**4 + 8*o + 0*o**2. Determine v so that c(v) = 0.
-2, 1
Let p(s) be the third derivative of 0*s**5 + 3*s - 1/960*s**6 + 2*s**2 + 1/64*s**4 - 1/24*s**3 + 0. Solve p(k) = 0 for k.
-2, 1
Let m = -264 - -269. Factor 60*t + 6 - 3*t**3 - m*t - 46*t.
-3*(t - 2)*(t + 1)**2
Factor -5617 + 3140 + 2*d**3 - d**3 + 216*d + 2909 + 17*d**2 + 10*d**2.
(d + 3)*(d + 12)**2
Let v(i) be the second derivative of -i**6/315 + i**5/21 - 250*i**3/63 + 625*i**2/21 - 1199*i. Factor v(b).
-2*(b - 5)**3*(b + 5)/21
Suppose 14*p - 180 = -p. Suppose t - 3*h + 7*h = -p, -t = 2*h + 4. Factor 6/7*f**2 + 18/7*f**3 + 6/7*f**t - 12/7 - 18/7*f.
6*(f - 1)*(f + 1)**2*(f + 2)/7
Factor 2/7*p**2 - 116/7*p - 118/7.
2*(p - 59)*(p + 1)/7
Factor 2/7*o**2 + 264/7*o + 0.
2*o*(o + 132)/7
Let z(i) be the third derivative of 673/12*i**5 + 490/3*i**3 + 0 - 5/336*i**8 + 20*i - 385/3*i**4 + 5*i**2 + 31/42*i**7 - 283/24*i**6. Factor z(o).
-5*(o - 14)**2*(o - 1)**3
Factor -1638*p**3 + 555*p**3 - 720*p + 136*p**2 + 95*p**2 + 548*p**3 + 538*p**3.
3*p*(p - 3)*(p + 80)
Let b(z) be the first derivative of 1/100*z**5 + 16 - 3/40*z**4 + 0*z + 1/5*z**3 - 5/2*z**2. Let h(y) be the second derivative of b(y). What is w in h(w) = 0?
1, 2
Let b(o) be the second derivative of 11*o**5/150 - 23*o**4/90 + 2*o**3/45 - 1512*o. Factor b(r).
2*r*(r - 2)*(11*r - 1)/15
Let h(a) = 1431*a - 8586. Let j be h(6). Factor 0*k**4 + 2/21*k**5 + 0*k + j*k**2 - 2/21*k**3 + 0.
2*k**3*(k - 1)*(k + 1)/21
Let m = 570888 + -570885. Determine h, given that -4/3*h**2 - 2/3*h**m + 0*h + 2/3*h**4 + 0 = 0.
-1, 0, 2
Factor 7/4*p**3 + 215/4*p - 129/2*p**2 + 9.
(p - 36)*(p - 1)*(7*p + 1)/4
Factor 0 + 0*k + 6/5*k**3 + 3/5*k**4 + 3/5*k**2.
3*k**2*(k + 1)**2/5
Let y(i) be the third derivative of 0 + 15/4*i**4 - 9*i**2 - i - 1/12*i**5 - 75/2*i**3. Let y(p) = 0. What is p?
3, 15
Let t(j) be the third derivative of j**8/1512 + j**7/945 - j**6/270 - j**5/135 + j**4/108 + j**3/27 + 3016*j**2. Factor t(y).
2*(y - 1)**2*(y + 1)**3/9
Let j(w) be the first derivative of -w**3/24 + 567*w**2/8 - 595. Factor j(n).
-n*(n - 1134)/8
Let i(d) be the third derivative of 0 + 1/2*d**4 + 0*d + 0*d**3 - 1/15*d**5 + 92*d**2. Find a, given that i(a) = 0.
0, 3
Let u(g) be the second derivative of 16*g**5/15 - 12*g**4 + 54*g**3 - 37*g**2 + 41*g. Let m(j) be the first derivative of u(j). Factor m(o).
4*(4*o - 9)**2
Let o(j) be the third derivative of 64*j**7/315 + 64*j**6/45 - 454*j**5/45 - 685*j**4/6 - 200*j**3 - 3*j**2 - j - 10. Find x, given that o(x) = 0.
-15/4, -1/2, 4
Let 37*u**3 + u**5 + 15*u**4 + 986 - 383 - 38*u - 459 - 159*u**2 = 0. Calculate u.
-9, -8, -1, 1, 2
Let w(i) be the first derivative of 1/3*i**3 + 1/90*i**5 + 0*i - 22 - 1/9*i**4 + 13*i**2. Let c(h) be the second derivative of w(h). Factor c(m).
2*(m - 3)*(m - 1)/3
Let x(q) be the second derivative of 28 + 14/27*q**4 + q**2 - 2/135*q**6 + 29/18*q**3 - 17/180*q**5 + q. What is s in x(s) = 0?
-6, -1, -1/4, 3
Let c(m) be the first derivative of 2*m**6/3 - 124*m**5/5 - 67*m**4 + 124*m**3/3 + 132*m**2 + 1923. Suppose c(o) = 0. What is o?
-2, -1, 0, 1, 33
Let n be ((-42)/(-12) + -1)*(-2)/(-5). Let d(q) = 9*q + 18. Let s(g) = g**2 + g - 2. Let h(o) = n*d(o) - 3*s(o). Factor h(l).
-3*(l - 4)*(l + 2)
Factor -144*v**2 + 12*v + 113 - 249 - 4*v**3 - 288*v.
-4*(v + 1)**2*(v + 34)
Let q be (-1010)/11 - 22/121. Let a be (-2)/(-8) - 1541/q. Factor -21*h**4 + 14*h**4 + 2*h**5 - 7*h**5 + a*h**4.
-5*h**4*(h - 2)
Let p(k) be the first derivative of -62*k**3/21 + 67*k**2/14 - 5*k/7 - 1300. What is w in p(w) = 0?
5/62, 1
Let b(o) be the first derivative of -o**4/8 + 1889*o**3/2 - 10704963*o**2/4 + 6740558369*o/2 + 6223. What is h in b(h) = 0?
1889
Let c(a) be the third derivative of a**5/150 - 23*a**4/60 + 22*a**3/15 - 13*a**2 + 27*a. What is g in c(g) = 0?
1, 22
Suppose 2*w + 12 = p, 0*p - 4*w - 18 = -p. Suppose -u = -p + 2. Find h, given that -245*h**5 - 10*h**3 - 6*h**3 - u*h**3 - 140*h**4 = 0.
-2/7, 0
Let c(m) be the first derivative of -6*m**5/65 - 5*m**4/26 + 76*m**3/39 + 40*m**2/13 - 2240. Let c(x) = 0. What is x?
-4, -1, 0, 10/3
Let y(s) = 9*s**3 - 3*s**2 - 4*s - 4. Let j be y(-2). Let z = -64 - j. Factor a**5 - 6*a**2 + a**5 + 0*a**5 + 6*a**4 - z*a**4 + 14*a**3.
2*a**2*(a - 3)*(a - 1)**2
Suppose 0 = 4*a - 17*q + 16*q + 4711, a + 1204 = -5*q. Let j = -5893/5 - a. Factor -8/5 + 2*m - j*m**2.
-2*(m - 4)*(m - 1)/5
Let v = 107 + -57. Determine n so that -5184 + 44*n**2 - 98*n**2 + v*n**2 + 122*n + 166*n = 0.
36
Let p(r) = 149*r - 889. Let b be p(6). Let j(n) be the first derivative of 3/4*