 -8*c**2 + 333*c + 13428. Let i(p) = -10*s(p) + 6*w(p). Factor i(m).
2*(m + 82)**2
Let z(d) be the third derivative of d**6/240 - 3*d**5/20 + 59*d**4/48 - 7*d**3/2 - 223*d**2. Factor z(a).
(a - 14)*(a - 3)*(a - 1)/2
Factor 114*x**3 - 208*x + 224 + 40*x**2 - 379*x**3 + 157*x**3 + 112*x**3.
4*(x - 2)**2*(x + 14)
Suppose 44*b - 22*b = 176. Let m be b/(-160)*5*-5. Solve 0 + 0*f**2 + 5/4*f - m*f**3 = 0.
-1, 0, 1
Let r(s) be the first derivative of 8/5*s**5 - 1/3*s**6 + 16 - 4/3*s**3 - 2*s**4 - 4*s + 5*s**2. Find q, given that r(q) = 0.
-1, 1, 2
Let m(o) be the third derivative of o**8/448 - 3*o**7/280 + 3*o**6/160 - o**5/80 + 16*o**2 - 2. Determine x so that m(x) = 0.
0, 1
Let y be 820/5 + (-2)/2. Suppose 20*g + 64*g**2 - y*g + 3*g - 116*g - 4*g**3 = 0. What is g?
0, 8
Factor -45*u**3 + 60*u**2 + 39*u - 630 - 258 + 5*u**4 + 200*u + 161*u - 72.
5*(u - 4)**3*(u + 3)
Let r(b) be the first derivative of b**5/5 + 37*b**4/4 + 79*b**3 - 1953*b**2/2 + 2646*b + 1157. Determine v so that r(v) = 0.
-21, 2, 3
Determine q, given that -72*q**3 + 5*q**5 - 5*q**5 + 2*q**5 - 7*q**5 + 291*q**4 - 7*q**5 = 0.
0, 1/4, 24
Let k(t) be the second derivative of t**7/105 - 7*t**6/180 + t**5/45 + 65*t**2 + 29*t. Let n(c) be the first derivative of k(c). Suppose n(j) = 0. What is j?
0, 1/3, 2
Suppose 0 = -33526*a + 33640*a. Let k = -3 - -3. Factor 6/13*q**4 + a*q + 2/13*q**3 + k - 4/13*q**2.
2*q**2*(q + 1)*(3*q - 2)/13
Let r(w) be the third derivative of w**7/70 + 41*w**6/120 + 181*w**5/60 + 235*w**4/24 - 50*w**3/3 + 11*w**2 - 311. Factor r(f).
(f + 4)*(f + 5)**2*(3*f - 1)
Let m(s) be the second derivative of -265/6*s**3 + 3/4*s**5 - 55*s**2 + 0 - 35/3*s**4 - 11*s. Factor m(h).
5*(h - 11)*(h + 1)*(3*h + 2)
Let f(k) = -k**2 + 22*k - 92. Let g be f(16). Factor -34*u**2 + 40*u**4 - 23*u**2 + 32*u**3 + 27*u - 43*u**g + u**3.
-3*u*(u - 9)*(u - 1)**2
Let j = 90059/50055 - -8/10011. Factor j*n**2 - 12/5 + 0*n + 3/5*n**3.
3*(n - 1)*(n + 2)**2/5
Let b be ((-8)/8)/(1*(-1)/5). Solve 16*o**2 + 15*o**3 - 10*o - 3*o**2 - 5*o**5 + b*o**4 - 18*o**2 = 0 for o.
-1, 0, 1, 2
Let a = -25 - -83. Let z = a - 55. Let -7*h**2 - 13*h**2 - 3*h**4 - h**4 - 95*h**3 + 71*h**z = 0. What is h?
-5, -1, 0
Let z(w) = 7*w**3 + 127*w**2 + 1116*w + 948. Let c(j) = -6*j**3 - 134*j**2 - 1116*j - 956. Let r(o) = 3*c(o) + 2*z(o). Factor r(k).
-4*(k + 1)*(k + 9)*(k + 27)
Determine y, given that -224/3 + 1/3*y**4 - 38/3*y**2 + 64*y - y**3 = 0.
-7, 2, 4
Let r be 2/5 + -32 + (-11132)/(-345). Let h(q) be the third derivative of 0*q - r*q**4 + 0 + 2*q**3 + 5*q**2 + 1/15*q**5. Suppose h(a) = 0. What is a?
1, 3
Let v(r) be the second derivative of r**5/100 + r**4/5 - 33*r**3/10 - 84*r**2 + 7*r - 7. Let l(q) be the first derivative of v(q). Find x, given that l(x) = 0.
-11, 3
Let d(g) be the second derivative of 0 + 237*g - 98/3*g**3 - 68*g**2 - 14/3*g**4 + 1/5*g**5. What is o in d(o) = 0?
-2, -1, 17
Let j(d) be the third derivative of d**6/840 + 3*d**5/70 - 109*d**4/168 + 23*d**3/7 + 53*d**2. Suppose j(t) = 0. Calculate t.
-23, 2, 3
Let t be (-4)/70*(-5)/3. Let x be -1 - (6/3 - 15) - 927500/77910. Find q, given that t*q**2 + x*q**5 + 2/7*q**3 + 0*q + 2/7*q**4 + 0 = 0.
-1, 0
Let f = 515189/18 - 257593/9. Solve 8 + f*t**2 - 19/6*t = 0 for t.
3, 16
Let b(m) be the third derivative of -m**7/420 + 11*m**6/240 + m**5/2 - 10143*m**2. Factor b(r).
-r**2*(r - 15)*(r + 4)/2
Suppose -2*z + 3*z**3 - 7*z + 20*z**2 - 29*z**2 - 3*z = 0. What is z?
-1, 0, 4
Factor 76 + 17*b**2 - 50*b**2 + 16*b**2 + 16*b**2 + 15*b.
-(b - 19)*(b + 4)
Suppose -45 = -5*h - f, 0 = 5*f + 14 + 11. Suppose 14 = -3*d + h*d. Solve -55*c**d - 12*c**4 + 102*c**2 - 51*c**2 + 16*c**3 = 0.
0, 1/3, 1
Let u be 5898/15 + -1 - (-8)/(-40). Let 156*v**4 - u*v**4 - 1120*v**3 + 294*v**2 + 106*v**2 - 12*v**5 = 0. Calculate v.
-10, 0, 1/3
Let d(j) = 2*j**3 - 44*j**2 + 21. Let b be d(22). Determine u so that -268*u + 952*u - 15*u**3 + 44*u**2 - 36*u**2 + 361 + u**4 - b*u**3 + 278*u**2 = 0.
-1, 19
Factor 9*w + 4*w - 9*w + 12*w + w**3 + 8*w**2.
w*(w + 4)**2
Let m(f) be the third derivative of f**7/280 + 3*f**6/160 - 33*f**5/80 + 53*f**4/32 - 3*f**3 + 1099*f**2. Determine t, given that m(t) = 0.
-8, 1, 3
Factor 195*k - 15*k**3 + 4*k**5 - 196 - 67*k - 760*k**2 + 516*k - 68*k**4 + 391*k**3.
4*(k - 7)**2*(k - 1)**3
Let s(j) be the second derivative of -3*j**5/10 - 7*j**4/3 - 17*j**3/3 - 6*j**2 - 153*j. Factor s(m).
-2*(m + 1)*(m + 3)*(3*m + 2)
Suppose -16*f - 242 = -5*f. Let r = f - -27. Suppose r*u**2 + 4*u + 5*u + 14*u - 3*u = 0. Calculate u.
-4, 0
Suppose 1946 - 3928 = -37*m - 1908. Factor 0 + 1/3*k**m + 5/3*k.
k*(k + 5)/3
Let f(k) be the second derivative of -9/4*k**3 - k**6 + 0*k**2 + 43*k + 3/2*k**4 - 25/28*k**7 + 39/20*k**5 + 0. Find r such that f(r) = 0.
-1, 0, 3/5
Let y(p) be the first derivative of -p**5 + 15*p**4/4 + 20*p**3/3 - 30*p**2 - 2094. Factor y(w).
-5*w*(w - 3)*(w - 2)*(w + 2)
Let q(v) be the third derivative of -v**8/2520 - v**7/252 - 44*v**3/3 - 29*v**2. Let h(y) be the first derivative of q(y). Factor h(k).
-2*k**3*(k + 5)/3
Let g = 16359/32714 + -1/16357. Let o(z) be the third derivative of -g*z**3 + 16*z**2 + 1/120*z**6 + 0 - 1/60*z**5 - 5/24*z**4 + 0*z. What is n in o(n) = 0?
-1, 3
Let j(g) be the second derivative of 2*g**7/273 - g**6/15 + 27*g**5/130 - 5*g**4/39 - 28*g**3/39 + 24*g**2/13 + 2474*g. Find x, given that j(x) = 0.
-1, 3/2, 2
Let v(z) = -7*z**5 - 3*z**4 + 13*z**3 - 3*z. Let q(y) = -40*y**5 - 17*y**4 + 74*y**3 - 17*y. Let a(c) = -6*q(c) + 34*v(c). Factor a(s).
2*s**3*(s - 1)*(s + 1)
Let i(b) be the first derivative of -1/42*b**4 + 6 + 10/21*b**3 - 22*b - 25/7*b**2. Let c(r) be the first derivative of i(r). Determine k so that c(k) = 0.
5
Suppose o - 15 = -2*f + 1, -24*o + 284 = -2*f. Determine p, given that -3*p**3 - 21*p + 15/2 - 3/2*p**4 + 18*p**f = 0.
-5, 1
Suppose 43 = -4*x + 79. Suppose 0 = -z + x*z - 72. Determine h, given that 0*h**5 - 11*h**5 - 4*h + 2*h**4 - 2*h**2 + 6*h**3 + z*h**5 = 0.
-1, 0, 1, 2
Let y(z) be the second derivative of z**6/40 - 51*z**5/20 + 675*z**4/8 - 625*z**3/2 - 26*z**2 - 13*z. Let t(s) be the first derivative of y(s). Solve t(u) = 0.
1, 25
Suppose 1 = -2*m + 3*m. Let y(s) = 4*s**2 - 6*s + 5. Let w be y(m). Find c such that -40*c**3 + 3*c**2 + 23*c**3 - w*c + 26*c**3 + 3*c**2 = 0.
-1, 0, 1/3
Suppose -942*q = -5752*q. Suppose q + 2/5*g**3 - 26/5*g**2 - 12/5*g + 26/5*g**4 + 2*g**5 = 0. Calculate g.
-2, -1, -3/5, 0, 1
Let r(q) be the first derivative of q**8/1050 + 3*q**7/700 + q**6/450 - 11*q**3 - 3. Let f(u) be the third derivative of r(u). Factor f(y).
2*y**2*(y + 2)*(4*y + 1)/5
Let l(a) be the second derivative of 1/120*a**5 + 0 + 31*a - 1/3*a**3 - 9*a**2 + 0*a**4. Let x(h) be the first derivative of l(h). Factor x(b).
(b - 2)*(b + 2)/2
Find t, given that -314721/2 - 1/2*t**2 + 561*t = 0.
561
Let w(i) be the second derivative of i**5/10 - 97*i**4/3 + 385*i**3/3 - 192*i**2 + 29*i + 11. Factor w(f).
2*(f - 192)*(f - 1)**2
Let d(g) be the third derivative of -9 - 3*g**2 + 0*g + 1/600*g**6 + 11/24*g**4 - 29/300*g**5 - 9/10*g**3. Find v, given that d(v) = 0.
1, 27
Let z be 13*-1*4/(-130). Factor -z*k**2 + 14/5*k + 16/5.
-2*(k - 8)*(k + 1)/5
Let c = -83 - -86. Find q such that 7*q**4 - 52*q**5 - q**c - 3*q**2 + 31*q**5 + 26*q**5 = 0.
-1, 0, 3/5
Factor 2817389122*l + 1/2*l**4 + 3769923*l**2 + 1579146602881/2 + 2242*l**3.
(l + 1121)**4/2
Let w(p) be the third derivative of p**6/540 - 349*p**5/45 + 121801*p**4/9 - 340068392*p**3/27 - 355*p**2. Determine q so that w(q) = 0.
698
Suppose -419*l = -414*l - 40, -5*z + 4*l - 17 = 0. Factor -z*h + 0 + 7/4*h**2 - 1/8*h**3.
-h*(h - 12)*(h - 2)/8
Let c be (-1)/(-2)*(-22416)/(-5137). Factor 136/11*v - 130/11*v**2 + 18/11*v**3 - c.
2*(v - 6)*(v - 1)*(9*v - 2)/11
Suppose 69*s + 51 = 18*s. Let k be (-544)/56 + 12 + 0/s. Factor 2/7 - k*b + 44/7*b**2 - 48/7*b**3 + 18/7*b**4.
2*(b - 1)**2*(3*b - 1)**2/7
Let h(p) = 2*p**2 - 30*p + 36. Let x be h(11). Let m be x/20 + 39/13. Factor -98/5 - m*q**2 + 28/5*q.
-2*(q - 7)**2/5
Suppose 8*y**4 - 120/7*y**2 - 4/7*y**5 + 68/7*y**3 + 0 + 0*y = 0. Calculate y.
-2, 0, 1, 15
Let i(o) be the first derivative of -o**3/6 - 1067*o**2/2 - 1138489*o/2 - 1548. Factor i(k).
-(k + 1067)**2/2
Let n(m) be the second derivative of 5*m**6/18 - m**5/3 - 7*m**4/12 + 10*m