/8 + 5*k**2 - 98*k. Suppose r(o) = 0. What is o?
-1, 0, 5
Let d(i) be the first derivative of -i**4/28 + 4*i**3/21 + 29*i**2/14 + 24*i/7 - 6142. Factor d(g).
-(g - 8)*(g + 1)*(g + 3)/7
Let l(t) = 16*t**3 + 26*t**2 - 46*t - 56. Let y(a) = -a**3 - a**2 - 2*a - 2. Let j(f) = -l(f) + 10*y(f). Solve j(n) = 0.
-18/13, -1, 1
Factor 3172/9*v + 2/9*v**2 + 1257698/9.
2*(v + 793)**2/9
Factor -156*o - 20*o**3 - 157*o - 339*o + 87 - 432*o**2 - 327.
-4*(o + 1)*(o + 20)*(5*o + 3)
Let u(i) be the third derivative of i**8/756 - 26*i**7/135 - 28*i**6/27 - 188*i**5/135 - 18*i**2 - 7*i + 4. Find g, given that u(g) = 0.
-2, -1, 0, 94
Let y(a) = -2*a**3 + 4*a**2 - 2*a - 1 - 7*a - 2 - 3*a. Let n(r) = -5*r**3 + 9*r**2 - 24*r - 7. Let i(l) = -6*n(l) + 14*y(l). What is b in i(b) = 0?
-4, 0, 3
Let p(y) be the second derivative of y**6/15 - y**5 - 26*y**4 - 310*y**3/3 + 475*y**2 - 47*y + 8. Factor p(u).
2*(u - 19)*(u - 1)*(u + 5)**2
Let b(c) = 37*c - 51. Let a be b(-20). Let h = a + 4747/6. Factor 1/3*m + 0 - 1/6*m**2 + h*m**4 - 1/3*m**3.
m*(m - 2)*(m - 1)*(m + 1)/6
Let -1/4*d + 1/4*d**3 + 73/4 - 73/4*d**2 = 0. Calculate d.
-1, 1, 73
Let r = 202813/6 - 67603/2. Factor r*o + 4/3*o**3 + 0 + 1/3*o**4 + 5/3*o**2.
o*(o + 1)**2*(o + 2)/3
Find n, given that 0 - 231/2*n**3 - 195*n**2 + 56*n - 2*n**4 = 0.
-56, -2, 0, 1/4
Let c(v) be the first derivative of -28/3*v**2 + 8/9*v**3 - 240 + 64/3*v + 1/6*v**4. Let c(g) = 0. What is g?
-8, 2
Let n = -2001 - -2016. Suppose -5*q - 2*i = 2, -5*i = -3*q - n + 20. Solve 2/5*s**3 - 4/15*s**2 - 2/15*s**5 + 0 + 0*s**4 + q*s = 0 for s.
-2, 0, 1
Let r(x) = -41*x**3 - 53*x**2 + 10*x. Let c(w) = 42*w**3 + 61*w**2 - 10*w. Let q(p) = 4*c(p) + 3*r(p). Find v such that q(v) = 0.
-2, 0, 1/9
Let i(k) be the third derivative of k**8/336 - k**7/210 - k**6/120 + k**5/60 - 31*k**2 + k. What is d in i(d) = 0?
-1, 0, 1
Let k(t) be the second derivative of t**8/112 + t**7/70 - 43*t**2/2 - t - 3. Let p(a) be the first derivative of k(a). Factor p(s).
3*s**4*(s + 1)
Let j be (-9 + 81/12)*(-8)/6. Let -132 - 19*t**2 - 43*t + 163*t + 3*t**5 + 21*t**4 + 130*t**2 - 123*t**j = 0. What is t?
-11, -1, 1, 2
Let r = 40217 - 40215. Let 4/3*u - 2/9*u**r - 10/9 = 0. What is u?
1, 5
Let g(j) = -j**2 + 5*j + 6. Let v be (3/4)/((-15)/(-80)). Let i be g(v). Solve -70*y**3 + 14*y + 61*y + 45 + 2*y**5 - 35*y**4 - i*y**2 - 7*y**5 = 0 for y.
-3, -1, 1
Let c be 5*((-14)/8 + (-2849)/(-1036)). Solve -1 + 77/4*w**4 + 17/4*w**3 - 73/4*w**2 + 8*w - 49/4*w**c = 0.
-1, 2/7, 1
Let x(t) be the first derivative of 5*t**6/2 + 59*t**5/5 + 333*t**4/20 + 27*t**3/5 + 967. Find a, given that x(a) = 0.
-9/5, -1/3, 0
Let t be -10 + ((-2 + -30)/8)/(-1). Let g be t + 1 + (-20)/((-2640)/852). Factor -g - 18/11*q**2 - 76/11*q.
-2*(q + 4)*(9*q + 2)/11
Let a = -11129 + 11129. Let l(t) be the third derivative of 0*t**3 + 0*t - t**2 - 1/30*t**5 - 1/4*t**4 + a. Let l(h) = 0. Calculate h.
-3, 0
Find l, given that -2/3*l**4 + 0 + 0*l - 464/3*l**2 + 466/3*l**3 = 0.
0, 1, 232
Let y = 523469/163585 + 3/163585. Solve 6/5*w**5 + 22/5*w**4 - 54/5*w**2 - 26/5*w**3 - y + 68/5*w = 0 for w.
-4, -2, 1/3, 1
Let g(c) be the third derivative of c**8/112 - 17*c**7/280 - c**6/320 + 19*c**5/80 - 7*c**4/64 - c**3/4 + 393*c**2 + 3*c. Determine b, given that g(b) = 0.
-1, -1/4, 1/2, 1, 4
Let k(q) = -480*q**2 + 489*q + 7. Let m(t) = 22560*t**2 - 22985*t - 335. Let f(b) = 95*k(b) + 2*m(b). Factor f(y).
-5*(y - 1)*(96*y - 1)
Let k(t) = -3*t**3 + 73*t**2 + 810*t. Let d(c) = c**3 - 27*c**2 - 270*c. Let n(y) = -24*d(y) - 9*k(y). Find m, given that n(m) = 0.
-15, 0, 18
Solve 48*s + 15*s**2 + 59875948 - 59876083 + 20*s**2 + 12*s = 0.
-3, 9/7
Let k(w) = 5*w**2 + 154*w - 324. Let g(o) = -28*o**2 - 766*o + 1622. Let q(t) = -2*g(t) - 11*k(t). Determine l, given that q(l) = 0.
2, 160
Factor -17*i**2 + 36093*i - 11*i**2 + 1088 - 37981*i.
-4*(i + 68)*(7*i - 4)
Find p, given that 1/6*p**4 - 4/3 - 5/6*p**3 + 2/3*p + p**2 = 0.
-1, 2
Let c be (5 + (-56)/12)/((-4)/(-5208)). Let z = -2599/6 + c. Suppose z*r - 2/3 - 1/6*r**2 = 0. Calculate r.
1, 4
Suppose 12 = -u + 5*u. Let b = 369/260 - 76/65. Find c such that 0 + 1/4*c**u + b*c - 1/2*c**2 = 0.
0, 1
Suppose 0*a - 60 = -4*a. Let y = 1473 + -1471. Determine l, given that -y*l + 1 + 7*l**2 - a*l**2 + 9*l**2 = 0.
1
Let y(g) be the third derivative of 0 - 1/18*g**4 - 1/270*g**5 + 0*g - 1/945*g**7 + 1/135*g**6 - 70*g**2 + 0*g**3. Determine v, given that y(v) = 0.
-1, 0, 2, 3
Let m(x) be the second derivative of -4*x**2 - 7*x - 5 - 1/5*x**6 - 1/21*x**7 + 7/6*x**4 + 0*x**3 + 1/10*x**5. Solve m(b) = 0.
-2, -1, 1
Let g(a) = -21*a**2 + 11 + 9*a + 15*a + a - 11*a + 9*a. Let r(t) = 11*t**2 - 13*t - 6. Let h(x) = 6*g(x) + 11*r(x). Factor h(l).
-5*l*(l + 1)
Let t(f) be the second derivative of f**6/5 + 99*f**5/20 - 137*f**4/4 + 30*f**3 - 4717*f. Find v, given that t(v) = 0.
-20, 0, 1/2, 3
Let w(b) be the second derivative of b**5/40 + 31*b**4/12 - 100*b**3/3 + 136*b**2 - 6280*b - 1. Solve w(v) = 0 for v.
-68, 2, 4
Let z(o) = 82*o + 388. Let g be z(-5). Let a(s) = -38*s**2 - 190*s - 185. Let q(k) = 7*k**2 + 38*k + 37. Let l(b) = g*q(b) - 4*a(b). Factor l(f).
-2*(f + 1)*(f + 37)
What is p in -96/7*p - 368/7*p**2 - 68/7*p**4 - 6/7*p**5 - 262/7*p**3 + 0 = 0?
-4, -3, -1/3, 0
Suppose 3*l = -6*b + 24, -4*l = -0*b - 2*b - 12. Factor -49*x**b + 40*x - 5*x**4 - 55*x**2 + 34*x**2 + 35*x**3.
-5*x*(x - 4)*(x - 2)*(x - 1)
Let s(u) = -u**3 - u**2. Let r(y) = 8*y**3 - 4*y**2 - 4*y + 8. Let c be 5/(-2)*(-132)/110. Suppose 0 = -c*b + 8*b + 20. Let q(t) = b*s(t) - r(t). Factor q(o).
-4*(o - 2)*(o - 1)*(o + 1)
Let p(k) = 0*k - 9 + k + k + 3. Let x be p(6). Factor -10*z**4 + 2*z**2 + 2*z**3 + 0*z**2 + x*z**5 + 0*z**2.
2*z**2*(z - 1)**2*(3*z + 1)
Suppose 2718*v - 2594*v = 372. Factor -4 - 43/3*w**2 + v*w**3 - 64/3*w.
(w - 6)*(w + 1)*(9*w + 2)/3
Let k = 4 + -1. Let t(h) be the first derivative of 13*h - 6*h - 10 - 17 + 10*h**2 + 14 - h**k. Factor t(r).
-(r - 7)*(3*r + 1)
Let g(k) be the first derivative of -3*k**4/4 - 73*k**3 - 3393*k**2/2 + 22815*k + 1940. Factor g(w).
-3*(w - 5)*(w + 39)**2
Let n be ((-3)/(-4))/(6/4). Let f = 2969 + -2965. Factor g + 1/2*g**f - n*g**2 + 0 - g**3.
g*(g - 2)*(g - 1)*(g + 1)/2
Let l(p) = -43*p**4 - 1266*p**3 - 1723*p**2 - 408*p - 46. Let z(u) = -2*u**4 + u**3 + u - 2. Let x(d) = 2*l(d) - 46*z(d). Find i such that x(i) = 0.
-1, -1/3, 0, 431
Let n(k) = k**2 + 2*k + 3. Let x be n(0). Suppose 4*q = -3*o + 13, -2*q + 0*q + 11 = x*o. Find c, given that -8 + 1 - 4 + 15*c - 7 - o*c**2 = 0.
2, 3
Let l(g) be the second derivative of -g**7/8820 + g**6/1260 - g**5/420 - 32*g**4/3 + 170*g. Let i(c) be the third derivative of l(c). Factor i(r).
-2*(r - 1)**2/7
Let v(p) be the second derivative of -28/27*p**4 + 16/189*p**7 + 44*p - 19/27*p**3 - 2/9*p**2 + 8/135*p**6 - 47/90*p**5 + 0. Find q, given that v(q) = 0.
-1, -1/4, 2
Let y(f) be the third derivative of f**8/224 - f**7/70 - 27*f**6/20 + 217*f**5/20 + 539*f**4/16 + 2*f**2 - 1026*f. Suppose y(x) = 0. Calculate x.
-11, -1, 0, 7
Let f(b) be the first derivative of 55*b**4/4 + 280*b**3/3 + 70*b**2 - 400*b - 10379. Factor f(v).
5*(v + 2)*(v + 4)*(11*v - 10)
Suppose 32 = -k + 9*k. What is s in -6*s**k + 10*s**4 - 7*s**4 - 75*s**2 + 21*s**2 - 33*s**3 = 0?
-9, -2, 0
Determine m so that 2/11*m**4 + 344450/11*m**2 + 0 - 1660/11*m**3 + 0*m = 0.
0, 415
Let d(s) = -2*s**4 + 302*s**3 - 11850*s**2 + 22802*s - 11242. Let h(l) = l**3 - l**2 - l - 4. Let f(x) = -d(x) - 2*h(x). Factor f(g).
2*(g - 75)**2*(g - 1)**2
Find o such that -233 - 75 - 61*o**2 + 71*o**2 - 1008*o + 36 + 332*o = 0.
-2/5, 68
Let i(q) = 52 - 24 - 30*q**3 - 126*q**2 - 7 - 111*q. Let u(v) = 31*v**3 + 126*v**2 + 110*v - 22. Let c(z) = 2*i(z) + 3*u(z). Solve c(k) = 0 for k.
-2, 2/11
Let f(a) = 21*a - 21. Let t be f(2). Let -20*y**5 - 4*y**4 - 23*y**2 + 44*y**3 + 12*y + 12*y**5 - t*y**2 = 0. What is y?
-3, 0, 1/2, 1
Let x(f) be the first derivative of -2*f**6/3 - 4*f**5 + 7*f**4 + 20*f**3/3 - 12*f**2 - 433. Solve x(j) = 0 for j.
-6, -1, 0, 1
Let n = -2199 + 32987/15. Let v(w) be the second derivative of 1/30*w**4 - n*w**3 + 0 + 0*w**2 + 3*w. Factor v(g).
2*g*(g - 2)/5
Let l(n) be the third derivative of -1/9*n**3 - 1/24*n**4 + 24*n**2 + 0 + 0*n - 1/180*n**5. Factor l(m).
-(m + 1)*(m + 2)/3
Suppose 101*b - 137998 + 1