**3 - c*p**5 + 8/11*p**4 = 0. What is p?
0, 1
Let y(g) be the first derivative of -2*g**3/15 + 2309*g**2/5 + 924*g + 8901. Solve y(p) = 0 for p.
-1, 2310
Let c = 17220 - 17210. Let d(o) be the first derivative of -o**5 + 0*o + 0*o**2 + 0*o**4 + 5/3*o**3 + c. Solve d(r) = 0 for r.
-1, 0, 1
Find u, given that 55724504/5*u - 1260869*u**2 - 107131/5*u**3 - 571/5*u**4 - 115024912/5 - 1/5*u**5 = 0.
-193, 4
Suppose 4*w + 3 = -1, -3*w = -3*q - 48. Let b = q - -42. Determine x so that 10*x + 4*x**2 + b*x - 11*x + 32 = 0.
-4, -2
Let b = -3863677/6 - -644087. Find k, given that -65/3*k - 5/6*k**2 - b = 0.
-13
Let y(z) = -z**2 + 5*z + 1. Let b be y(2). Determine j so that 5 + 0*j**3 + b*j**2 + j**3 + 6*j + 0*j + 5*j = 0.
-5, -1
Let 303/7*y - 3/7*y**2 - 594/7 = 0. Calculate y.
2, 99
Let o(v) be the first derivative of -62 + 2/5*v**5 + 0*v + 64*v**2 + 160/3*v**3 + 17/2*v**4. Factor o(m).
2*m*(m + 1)*(m + 8)**2
Let h(y) be the second derivative of 1369/8*y**2 - 260 + 1/48*y**4 - 2*y + 37/12*y**3. Determine j so that h(j) = 0.
-37
Let b = -81062 - -81070. Factor b + 2/3*a**2 + 14/3*a.
2*(a + 3)*(a + 4)/3
Determine u so that 813/8*u**2 + 4671/8*u + 29/8*u**3 + 486 - 1/8*u**4 = 0.
-9, -1, 48
Let f(z) be the second derivative of -z**8/3920 - 3*z**7/1960 + z**6/210 + z**3/6 + 7*z**2/2 - 49*z. Let o(k) be the second derivative of f(k). Solve o(j) = 0.
-4, 0, 1
Let d = 46 - 34. Suppose -3*z = 2*y - d, 3*y + z = -0*y + 11. Let -4*q - 2*q**y - 5*q**2 + q + 5*q**4 + 7*q**3 - 2*q = 0. What is q?
-1, 0, 1
Let h(v) = 45*v + 181. Let m be h(-4). Let n be (150/(-100))/(m/(-2)). What is a in -12/11 + 42/11*a**n - 42/11*a + 30/11*a**4 - 18/11*a**2 = 0?
-1, -2/5, 1
Let t(h) be the third derivative of -h**5/100 - 313*h**4/60 + 209*h**3/30 + 29*h**2 + 17. Factor t(p).
-(p + 209)*(3*p - 1)/5
Let c = 318271/4 - 79553. Determine s so that -57/4*s + c*s**2 - 1/2 = 0.
-2/59, 1
Let c(p) be the third derivative of 19*p**3 - 14*p - 3*p**2 - 21/8*p**4 + 1/20*p**5 + 0. Suppose c(g) = 0. What is g?
2, 19
Let v(a) = a**3 + 2*a**2 + 13*a - 17. Let c be v(0). Let i be 0/((c - 1)/(-6)). Factor 0 - 2/5*o**2 + i*o.
-2*o**2/5
What is n in -2*n**4 - 4*n**4 + 50*n**3 - 20 - 68 + 11*n**4 - 50*n + 368 - 285*n**2 = 0?
-14, -1, 1, 4
Factor -1/2*k**2 - 334*k - 667/2.
-(k + 1)*(k + 667)/2
Let l be -2*((144/4)/(-6) - (-84)/16). Let d(b) be the second derivative of -5/8*b**3 + 0 - 21*b - 1/16*b**4 - l*b**2. Factor d(z).
-3*(z + 1)*(z + 4)/4
Factor 396*i - 6260 - 5033 + 5*i**2 + 10069 - i**2.
4*(i - 3)*(i + 102)
Let v(t) be the first derivative of -t**5/60 + 25*t**4/12 - 47*t**3/2 + 207*t**2/2 - 819*t/4 + 2581. Factor v(o).
-(o - 91)*(o - 3)**3/12
Let p(m) be the first derivative of 3*m**4/4 + 91*m**3 - 1719*m**2/2 + 2619*m + 1725. Suppose p(a) = 0. Calculate a.
-97, 3
Let r(x) = 108*x**2 + 1730*x + 37. Let g be r(-16). Suppose -2*a + 0 = -8. Let a*y**2 + 6*y**2 - g*y - 5*y**2 = 0. Calculate y.
0, 1
Suppose 69 = 16*t - 59. Let f(g) be the second derivative of -2/3*g**4 - 1/5*g**5 + t*g + 0 + 4*g**2 + 2/3*g**3. Factor f(w).
-4*(w - 1)*(w + 1)*(w + 2)
Suppose y**4 + 3*y**2 - 2*y**4 - 153*y**3 - 482707*y - 306 + 483164*y = 0. What is y?
-153, -2, 1
Let u = 341/1332 + -2/333. Let y(c) be the second derivative of 13*c**3 - 43*c + 0 - 507/2*c**2 - u*c**4. Determine t so that y(t) = 0.
13
Let z(y) be the second derivative of y**8/210 - y**7/105 + y**6/120 - y**5/240 + 25*y**4/6 - 71*y. Let a(u) be the third derivative of z(u). Factor a(n).
(4*n - 1)**3/2
Factor -66 + 12*f - 305*f**2 + 306*f**2 - 154.
(f - 10)*(f + 22)
Let u(r) = -18*r**2 + 35*r + 2. Let p be u(2). Let k be -2*((-48)/128)/(1 - p). Let k*q**2 + q - 1 = 0. What is q?
-2, 2/3
Let i(x) be the first derivative of -x**5/20 + 11*x**4/8 + 32*x**3/3 + 93*x**2/4 + 81*x/4 + 1150. Solve i(f) = 0.
-3, -1, 27
Let q(x) be the second derivative of -x**5/10 - x**4/6 + 4*x**3/3 + 4*x**2 - 5*x + 42. Factor q(m).
-2*(m - 2)*(m + 1)*(m + 2)
Let 492/7*v - 1000/7 + 4/7*v**2 = 0. What is v?
-125, 2
Suppose 10 = 2*m - 5*f, 3*f + 86 = m + 80. Let d = 188 - 559/3. Solve -5/6*b**2 + m + d*b = 0 for b.
0, 2
Determine b so that 184*b + 1/5*b**2 + 0 = 0.
-920, 0
Suppose -101 - 2830*m + 3*m**3 + 2599*m - 48*m**2 - 79 = 0. Calculate m.
-3, -1, 20
Let i(o) be the second derivative of -o**7/336 + o**6/2 - 1859*o**5/80 + 295*o**4/4 - 3481*o**3/48 + 673*o - 7. Factor i(g).
-g*(g - 59)**2*(g - 1)**2/8
Suppose -4*d + 18 = 2*f, d - 15 = -3*d + f. Suppose -d*h = -2*l - 8, 2*l + 2*h - 10 = -0*l. Factor -88*p + 97*p + 2*p**2 + 2*p**l - p**2.
3*p*(p + 3)
Let o = 208/297 + -733/1188. Let y(u) be the second derivative of 24*u - o*u**2 - 1/72*u**4 - 1/18*u**3 + 0. What is v in y(v) = 0?
-1
Let o = -193 + 245. Factor -8*w**4 + 4596 - 4596 - o*w**3 - 72*w**2.
-4*w**2*(w + 2)*(2*w + 9)
Let c(o) be the third derivative of -o**5/12 + 815*o**4/24 + 329*o**2 - 2*o. Factor c(y).
-5*y*(y - 163)
Let x(i) = 4*i**5 + 18*i**4 - 7*i**3. Let q(h) = 8*h**5 + 35*h**4 - 13*h**3. Let v = -178 + 184. Let l(s) = v*q(s) - 10*x(s). Let l(r) = 0. Calculate r.
-4, 0, 1/4
Let h(x) be the third derivative of x**5/140 - 11*x**4/56 - 3032*x**2. Factor h(i).
3*i*(i - 11)/7
Suppose -187 + 1510*d - 2192 - 5*d**2 - 621 = 0. Calculate d.
2, 300
Find b such that 312*b**3 + 387*b**2 - 2*b + 81*b**4 + 8*b + 0*b**5 - b**5 - 102 + 7*b**5 - 42 = 0.
-8, -3, -2, -1, 1/2
Suppose 48 = 3*c + 39. Let n(l) be the second derivative of 2*l**c + 3*l + 0 + 4*l**2 + 1/3*l**4. Determine x so that n(x) = 0.
-2, -1
Suppose -3*d - 24 = -15*d. Factor 121*y - 99*y + y**2 + y**d - 26 + 2.
2*(y - 1)*(y + 12)
Let p(m) be the first derivative of 4*m**5/35 - 11*m**4/7 + 136*m**3/21 - 48*m**2/7 + 5198. Factor p(b).
4*b*(b - 6)*(b - 4)*(b - 1)/7
Suppose -582 = 3*m - 2331. Let g = m + -1733/3. Solve 10/3*t**3 - 2/3*t**5 - 2/3*t**2 + 2/3*t**4 - g*t - 8/3 = 0 for t.
-1, 2
Let p = 3353/115 + -666/23. Let l(i) be the first derivative of p*i**5 + 3/4*i**4 + i**3 - 5 + 0*i + 1/2*i**2. Factor l(b).
b*(b + 1)**3
Let -756*f - 881*f**2 + 1318*f**2 + 108*f**4 + 69 + 1186*f**2 + 2556*f**3 = 0. What is f?
-23, -1, 1/6
Let i(j) be the second derivative of -j**4/72 + 1175*j**3/18 - 50*j - 32. Factor i(m).
-m*(m - 2350)/6
Suppose -81 = -3*m - 72. Suppose 16*t**2 - 16*t**4 - 18*t**5 + 21*t**3 + 23*t**m - 40*t**2 + 14*t**5 = 0. Calculate t.
-6, 0, 1
Let l(i) = 2*i**2 + 17*i - 8. Let z be l(-10). Suppose -z*t - 3*t**3 + 20*t**2 + 2*t - 20 + 15*t + 8*t**3 = 0. What is t?
-4, -1, 1
Let k = 656 + -651. Suppose h - 3*h - 1 + 12*h + k*h**2 - 14 = 0. Calculate h.
-3, 1
Let q(l) be the second derivative of 1/36*l**4 + 1/3*l**3 + 0*l**2 + 32 - l. Factor q(u).
u*(u + 6)/3
Factor 373*n**2 + 261*n**2 + 640*n**2 + 2*n**5 + 54*n**4 + 462*n**3.
2*n**2*(n + 7)**2*(n + 13)
Let x = 38618 + -38615. Let i(z) be the first derivative of 8*z**2 - 4/5*z**5 + 47 - x*z**4 + 0*z**3 + 0*z. Factor i(p).
-4*p*(p - 1)*(p + 2)**2
Suppose 0 = 2*n - 443 - 6529. Let h be n/63*(-3)/(-2). Solve 40 + 37*r**2 + 36*r**2 - h*r**2 + 100*r - 25*r**3 = 0.
-2, -2/5, 2
Let z(a) be the second derivative of -a**6/150 - 3*a**5/25 - 41*a**4/60 - 7*a**3/5 + 5327*a. Solve z(n) = 0.
-7, -3, -2, 0
Let -3/2*n**3 - 12*n**2 + 57/2*n - 15 = 0. What is n?
-10, 1
Suppose 319178*s - s**3 - 319158*s + 780 + 2*s**3 - 6*s**3 - 195*s**2 = 0. What is s?
-39, -2, 2
Let n(c) be the second derivative of 43*c - 1/70*c**5 - 10/21*c**4 + 0 - 68/21*c**3 - 64/7*c**2. Solve n(w) = 0.
-16, -2
Suppose -3*t = 3*p, 2*t + 4 = -4*p - 4. Let x be (10/(-8))/((-20)/160). Solve -1 - 1 - t - 2*n**3 - x*n**2 - 14*n = 0.
-3, -1
Let i(q) be the second derivative of q**5/30 + 10*q**4 + 2816*q**3/3 + 30976*q**2/3 + 676*q. Determine b so that i(b) = 0.
-88, -4
Let i(r) be the first derivative of 0*r + 209 - 5/3*r**2 + 1/6*r**4 + 8/9*r**3. Factor i(a).
2*a*(a - 1)*(a + 5)/3
Suppose -62*z + 116 = -8. Let x(j) be the second derivative of 1/6*j**3 - 1/48*j**4 + 0 - 3/8*j**z - 6*j. Factor x(r).
-(r - 3)*(r - 1)/4
Let h = 11/11549 + 11505/46196. Factor -5/4*l**2 - 1/2*l + 0 - h*l**4 - l**3.
-l*(l + 1)**2*(l + 2)/4
Let z(p) be the first derivative of -p**6/10 - 3*p**5/20 + p**4/4 + p**3/2 - 43*p + 26. Let o(t) be the first derivative of z(t). Solve o(k) = 0 for k.
-1, 0, 1
Let k(t) be the first derivative of 9*t**4/4 + 109*t**3/3 + 168*t**2 + 36*t + 790. Factor k(a).
