**3 + 9*m - 10*m**4 - 4*m**4.
3*m*(m + 1)**2*(m + 3)
Suppose -10*k + 103*k = 40*k + 318. Factor -k - 2/7*j**2 + 20/7*j.
-2*(j - 7)*(j - 3)/7
Let u(r) be the second derivative of -r**4/78 + 108*r**3/13 - 323*r**2/13 - 2*r + 2936. Factor u(g).
-2*(g - 323)*(g - 1)/13
Determine y, given that 36*y - 27/2*y**4 - 3/2*y**5 - 69/2*y**2 + 54 - 81/2*y**3 = 0.
-3, -2, 1
Let i be (-55)/(-21) - 15/(-18)*(-66)/77. Factor -8/7*u + i - 22/21*u**2.
-2*(u + 2)*(11*u - 10)/21
Let x(u) be the second derivative of -1/2*u**3 + 19*u + 0 - 1/8*u**4 - 1/80*u**5 - u**2. Factor x(l).
-(l + 2)**3/4
Let v be (-384)/(-112) + (-16)/(-2)*8/112. Let c(b) be the second derivative of 1/18*b**v + 0 + 12*b**2 + 7*b + 4/3*b**3. Factor c(r).
2*(r + 6)**2/3
Let a(u) = 3*u - 12. Let d be a(9). Let h be (1/(-1))/(54/(-270)). Factor -h*s**2 - 245 + 53*s - d*s - 4*s + 36*s.
-5*(s - 7)**2
Let l = -1296990/13 + 99770. Solve 46/13*o - l + 2/13*o**4 - 30/13*o**2 + 2/13*o**3 = 0.
-5, 1, 2
Let 78*b**2 + 9082*b**3 - 9073*b**3 - 278*b - 390 + 0*b - 259*b = 0. What is b?
-13, -2/3, 5
Suppose -16/17*a**5 - 1930/17*a**2 - 844/17*a**3 - 184/17*a**4 - 1000/17 - 2200/17*a = 0. What is a?
-5/2, -2
Let i be (81032/21)/(-8) + 4/(-6). Let v be (-7)/3 + i/(-207). Determine h, given that 2/3*h**5 + 4*h**4 + 8*h**3 + 16/3*h**2 + v*h + 0 = 0.
-2, 0
Factor 12/7*t**2 - 2/7*t**3 - 132/7 + 122/7*t.
-2*(t - 11)*(t - 1)*(t + 6)/7
Let z(t) be the first derivative of 2*t**5/25 - 11*t**4/5 + 118*t**3/15 - 38*t**2/5 - 2906. Factor z(v).
2*v*(v - 19)*(v - 2)*(v - 1)/5
Let m(u) = 6*u**3 - 2799*u**2 - 492835*u - 489995. Let d(a) = -4*a**3 + 2800*a**2 + 492828*a + 489996. Let w(g) = 5*d(g) + 4*m(g). Factor w(x).
4*(x + 1)*(x + 350)**2
Factor 95*x - 17*x**3 + 35*x**2 + 58*x + 46 + 71 + 8*x**3 + 8*x**3.
-(x - 39)*(x + 1)*(x + 3)
Suppose 4*x - 5*x - 41 = 5*f, 2*f = 2*x - 26. Let j be (-112)/(-12) - 6/f. Determine o, given that 4*o - 5 - 6 - 5 + 2*o**2 + j = 0.
-3, 1
Let b(h) be the second derivative of 5*h**4/12 - 5575*h**3/3 + 6216125*h**2/2 + 4037*h - 1. Let b(v) = 0. What is v?
1115
Let d(o) be the second derivative of o**6/30 + o**5/10 + o**4/12 - 107*o + 17. Factor d(h).
h**2*(h + 1)**2
Determine z so that 2*z**3 + 15*z**2 + 6616 + z**3 - 6607 + 21*z = 0.
-3, -1
Let c(v) = -5*v**2 - 508*v - 299. Let u be c(-101). Determine t so that -4/9*t**u - 8/9*t + 2/9*t**5 + 16/9*t**2 + 0 - 2/3*t**3 = 0.
-2, 0, 1, 2
Let n(w) be the second derivative of -w**5/120 - w**4/16 - w**3/6 + 15*w**2 - 42*w. Let o(k) be the first derivative of n(k). Factor o(r).
-(r + 1)*(r + 2)/2
Suppose 376 = 10*c - 146 + 272. Let p(f) be the third derivative of 3/100*f**5 + 0 + 0*f**3 + 1/20*f**4 - c*f**2 + 0*f + 1/200*f**6. Factor p(r).
3*r*(r + 1)*(r + 2)/5
Let 4*m**2 - 1236*m + 1573 + 1757 + 507 - 165 = 0. What is m?
3, 306
Let v(s) be the first derivative of -1/15*s**5 + 17 + 0*s + 0*s**3 - 1/6*s**4 + 6*s**2. Let w(j) be the second derivative of v(j). Factor w(n).
-4*n*(n + 1)
Let g(y) be the first derivative of 1/3*y**3 + 1/4*y**4 + 64 - 1/5*y**5 + 0*y - 1/2*y**2. Suppose g(d) = 0. What is d?
-1, 0, 1
Let a be (-4)/(3 + (-25)/15). Let y be ((-23)/(-69))/(-2 - a). Factor 0 + 1/3*r**3 - y*r**2 - 2/3*r.
r*(r - 2)*(r + 1)/3
Let n(t) be the third derivative of 5/27*t**5 + 0*t + 19/270*t**6 + 2/135*t**7 + 8/27*t**4 + 89*t**2 + 1/756*t**8 + 0 + 8/27*t**3. What is s in n(s) = 0?
-2, -1
Let c = -5179 - -5179. Let w(t) be the third derivative of 18*t**2 - 1/240*t**6 + c*t - 1/40*t**5 + 0 + 1/4*t**3 + 1/48*t**4. Factor w(x).
-(x - 1)*(x + 1)*(x + 3)/2
Factor 2/7*h**2 + 0 - 880/7*h.
2*h*(h - 440)/7
Let h(y) be the first derivative of y**8/350 - 3*y**7/700 + y**6/600 + 7*y**3/3 + y**2 + 46. Let t(d) be the third derivative of h(d). What is x in t(x) = 0?
0, 1/4, 1/2
Let x(j) = 11*j - 99. Let l be (-9 - (-9 - 4)) + 5. Let s be x(l). Factor s*r**3 - 1/2*r**4 + 0*r - 1/2 + r**2.
-(r - 1)**2*(r + 1)**2/2
Let g = -371 + 372. Suppose 0 = -3*c - u - 3*u + g, 4*c - 2*u = 16. Determine z so that z**c - 4/3*z**4 + 0 + 0*z**2 + 1/3*z**5 + 0*z = 0.
0, 1, 3
Let c(r) be the third derivative of 1/330*r**5 + 0 + 0*r**3 + 0*r + 2/33*r**4 - 63*r**2. Factor c(s).
2*s*(s + 8)/11
Let p(q) be the third derivative of 93*q**2 + 52/21*q**3 - 1/420*q**6 + 0 + 0*q - 2/3*q**4 + 17/210*q**5. Factor p(l).
-2*(l - 13)*(l - 2)**2/7
Let q(s) = -s**3 - 9*s**2 - 2*s - 14. Let m be q(-9). Let -72 + 41*l + 28*l + 10*l - 11*l + m*l**2 = 0. What is l?
-18, 1
Let y(q) be the first derivative of -4/5*q**5 - 8*q + 4*q**3 + 29 + q**4 - 2*q**2. Factor y(o).
-4*(o - 2)*(o - 1)*(o + 1)**2
Let t = -3 - -5. Determine q so that -52*q**4 - 6*q**5 - 5*q**5 - 76*q**3 - q**5 - 8*q + 51*q**2 - 95*q**t = 0.
-2, -1, -1/3, 0
Let q(o) = 5*o**2 + 11*o - 24. Let w(f) = -f - 1. Let h(u) = -u**2 + 11*u + 16. Let z be h(12). Let i(s) = z*w(s) - q(s). Determine r, given that i(r) = 0.
-4, 1
Determine d, given that -110/3 + 92*d + 1/2*d**3 - 335/6*d**2 = 0.
2/3, 1, 110
Factor 0 - 23/5*v - 1/5*v**2.
-v*(v + 23)/5
Let b(u) be the third derivative of 5/42*u**3 + 0*u + 1/60*u**5 + 11/168*u**4 - 59*u**2 + 0 + 1/840*u**6. Find j, given that b(j) = 0.
-5, -1
Let l be (27 + (-1711)/58)*(-16)/20. Factor 4/5 - 3/5*u - 1/5*u**l.
-(u - 1)*(u + 4)/5
Factor 58*p - 1/4*p**3 + 5/4*p**2 - 119.
-(p - 17)*(p - 2)*(p + 14)/4
Let y(v) be the second derivative of v**5/4 - 95*v**4/12 + 175*v**3/6 - 85*v**2/2 - 1455*v - 2. Factor y(f).
5*(f - 17)*(f - 1)**2
Let z = 28474 - 199298/7. Factor -z + 8*h + 12/7*h**2.
4*(h + 5)*(3*h - 1)/7
Suppose -452 = x - 3*x. Suppose x*b - 220*b - 18 = 0. Determine f so that 0 + 0*f - 1/3*f**4 - 1/3*f**2 - 2/3*f**b = 0.
-1, 0
Let t(j) = -j**3 - 9*j**2 + 10*j + 11. Let b be t(-10). Let g = -4 + 4. Factor 4*o**4 + g*o**2 + b*o**3 + 8*o**2 - 7*o**3 - 16*o**3.
4*o**2*(o - 2)*(o - 1)
Suppose -1227*y**2 - 80*y + 265*y + 645*y**2 - 15 + 782*y**2 = 0. Calculate y.
-1, 3/40
Let t be ((-34)/8 + 0)*-4. Let x be 2*-2*(-14)/28. Find z such that t*z**x + 10 + 75*z - 18*z**2 + 66*z**2 = 0.
-1, -2/13
Let x(i) be the second derivative of 1/36*i**6 + 29/2*i**2 + 0 - 5*i + 1/45*i**5 - 2/9*i**3 - 5/36*i**4. Let m(p) be the first derivative of x(p). Factor m(l).
2*(l - 1)*(l + 1)*(5*l + 2)/3
Suppose 4 = 2*l - 5*b, 0*b + 8 = 4*l + 2*b. Let u be ((-4172)/(-168))/(-149) + (-1)/(-3). Factor 1/6*n**3 + u*n**l - 1/6*n - 1/6.
(n - 1)*(n + 1)**2/6
Let l(w) be the second derivative of -w**4/36 - 170*w**3/3 - 43350*w**2 + 2161*w. Factor l(h).
-(h + 510)**2/3
Let t(s) be the first derivative of 40*s**2 - 98 - 26/3*s**3 + 1/2*s**4 - 72*s. Factor t(v).
2*(v - 9)*(v - 2)**2
Let v be 174/609 - (8/(-32))/(21/(-24)). Factor 5/2*y**3 - 1/2*y**4 - 9/2*y - 3/2*y**2 + v.
-y*(y - 3)**2*(y + 1)/2
Let l(s) = -3*s**2 + 33*s + 9. Suppose -8*q = -2*q - 72. Suppose -u + q*u = -99. Let m(g) = -g**2 + 16*g + 4. Let z(v) = u*m(v) + 4*l(v). Solve z(x) = 0.
-4, 0
Let k(x) be the second derivative of x - 19/12*x**4 + 83 - 7/10*x**6 - 1/42*x**7 + 0*x**3 - 39/20*x**5 + 0*x**2. Determine y so that k(y) = 0.
-19, -1, 0
Let t(q) be the first derivative of -3*q**5/20 + 4155*q**4/8 - 692*q**3 - 4155*q**2/4 + 8307*q/4 - 9924. Find n such that t(n) = 0.
-1, 1, 2769
Factor -64*h**2 + 2/3*h**3 + 126*h - 188/3.
2*(h - 94)*(h - 1)**2/3
Let s be 2/26 - 131406/(-4706). Let n(p) be the first derivative of -s + 1/24*p**4 - 1/3*p**2 + 0*p**3 + 0*p. Factor n(j).
j*(j - 2)*(j + 2)/6
Let y(a) be the second derivative of a**8/560 - 13*a**6/240 - 3*a**5/20 - 13*a**4 - 248*a. Let q(c) be the third derivative of y(c). Factor q(x).
3*(x - 2)*(2*x + 1)*(2*x + 3)
Suppose -13*h = -14*h + 2. Let p(l) = 1. Let f(m) = 5*m**2 - 23 - m**2 + 10*m - 2*m**2. Let a(q) = h*f(q) + 22*p(q). Factor a(b).
4*(b - 1)*(b + 6)
Let w be (-280)/(-252)*(-1170)/(-260). Solve 2/7*y**w + 2/7*y**4 + 10/7*y - 12/7*y**3 + 4/7*y**2 - 6/7 = 0 for y.
-3, -1, 1
Let g = -39839/2 - -159357/8. Determine k, given that 1/8*k**3 - 1/4*k + 0 + g*k**2 = 0.
-2, 0, 1
Let g(n) = 21*n**3 - 8864*n**2 - 20324*n - 5088. Let h(l) = 21*l**3 - 8865*l**2 - 20322*l - 5088. Let w(x) = -9*g(x) + 8*h(x). Factor w(p).
-3*(p - 424)*(p + 2)*(7*p + 2)
Let q be ((-600)/210)/((-7)/(294/18)). Let w(s) be the first derivative of -1/3*s**6 - 6*s**4 - 3*s**2 + q*s**3 + 12/5*s**5 - 7 + 0*s. Factor w(x).
-2*x*(x - 3)*(x - 1)**3
Let r = 213 - 209. Suppose -51*y**