 - 9281*o**3 + 412*o + 19685*o**3 - 4592*o**2 = 0.
-1, -1/51
Let p(l) be the first derivative of 1/18*l**6 - 1/12*l**4 + 54 - 1/9*l**3 + 0*l + 1/15*l**5 + 0*l**2. Find m such that p(m) = 0.
-1, 0, 1
Let -189/5 - 192/5*t - 3/5*t**2 = 0. What is t?
-63, -1
Let j be (15/8 - 2)*(2/(-1) - -2). Let x(u) be the second derivative of 1/10*u**5 + 9*u + j + 4/15*u**3 + 0*u**2 + 2/5*u**4. Let x(b) = 0. What is b?
-2, -2/5, 0
Let i(r) be the third derivative of -r**6/300 - 13*r**5/150 - 11*r**4/30 - r**2 + 532. Factor i(s).
-2*s*(s + 2)*(s + 11)/5
Find s, given that -4/7*s**2 - 1028196/7 + 4056/7*s = 0.
507
Let x(o) = -o**2 - 21*o - 23. Let k be x(-22). Let j = 48 + k. Solve 12*a**4 - 41*a**3 - 28*a**3 + 4*a + 4*a**2 + 49*a**j = 0 for a.
-1/3, 0, 1
Let s = -346108/3 + 115384. Suppose -2/3*b**2 + s*b - 242/3 = 0. What is b?
11
Solve -52*l**2 + 616 - 130/3*l - 2/3*l**3 = 0.
-77, -4, 3
Let v(y) be the first derivative of 15*y**3 + 3/20*y**5 + 42*y**2 + 39/16*y**4 + 21 + 48*y. Factor v(g).
3*(g + 1)*(g + 4)**3/4
Factor 3/2 + 3/4*h**4 - 9/4*h**2 + 3/4*h**3 - 3/4*h.
3*(h - 1)**2*(h + 1)*(h + 2)/4
Let u(l) be the third derivative of -2*l**2 - 736/15*l**5 + 518/15*l**7 - 749/15*l**6 - 183 + 62/3*l**4 - 49/16*l**8 + 0*l + 32*l**3. Let u(j) = 0. Calculate j.
-2/7, 2/7, 4/3, 6
Let a = 55 + -58. Let m be ((-11)/(-3))/1 - (-2)/a. Factor 14*o - 11*o - 9*o**3 + 3*o**5 + m*o**3.
3*o*(o - 1)**2*(o + 1)**2
Suppose 4*o = -4*w, 2*w - 4 = 3*o - 7*o. Factor 7*x**2 + 3*x**3 + x**2 - 47*x - o*x**4 - x**5 + 47*x + x**3.
-x**2*(x - 2)*(x + 2)**2
Let v(k) be the third derivative of -4*k**7/105 - 667*k**6/660 + 20*k**5/11 + 127*k**4/132 - 16*k**3/33 + 9906*k**2. Find b such that v(b) = 0.
-16, -1/4, 1/11, 1
Suppose 2*y = -4*g + 4 + 8, 5*y + 2*g = 14. Determine a so that 12*a**y + 12*a**3 + 5*a**3 - 4*a**4 - 9*a**3 = 0.
-1, 0, 3
Factor -2/11*w**3 - 960/11*w + 246/11*w**2 + 952/11.
-2*(w - 119)*(w - 2)**2/11
Let s(j) be the third derivative of j**8/432 + 17*j**7/630 + 119*j**6/1080 + 121*j**5/540 + j**4/4 + 4*j**3/27 + 101*j**2. Let s(x) = 0. Calculate x.
-4, -1, -2/7
Let s be 68/14 - (-1)/7. Suppose -s*j = 3*u - 4, -5*u = -u + 8. Factor 2*i**2 + 2*i**4 + 16*i**3 + 15*i**2 - 3*i**j.
2*i**2*(i + 1)*(i + 7)
Let o(z) be the third derivative of -z**6/280 + 8*z**5/35 + 267*z**4/56 + 117*z**3/7 - 3979*z**2. Solve o(g) = 0.
-6, -1, 39
Suppose 3/2*u**3 + 45/2*u**2 + 72*u - 96 = 0. What is u?
-8, 1
Let v(k) = k**4 - 47*k**3 + 128*k**2 - 58*k - 252. Let g(j) = 48*j**3 - 124*j**2 + 60*j + 256. Let s(w) = -3*g(w) - 4*v(w). Let s(b) = 0. What is b?
-1, 3, 4, 5
Solve 116*x - 26912 - 1/8*x**2 = 0 for x.
464
Suppose 4*x - 4 = 8. Suppose x*f - 5*d = -f + 12, -4*f = -d - 28. Factor -16*t**3 + 4*t**2 + 12*t + 28*t**4 - f*t**3 - 20*t**3.
4*t*(t - 1)**2*(7*t + 3)
Let k(n) = -12*n**3 - 51*n**2 + 28. Let m(r) = 20*r**3 + 84*r**2 - 48. Let g(t) = 12*k(t) + 7*m(t). Determine v, given that g(v) = 0.
-6, 0
Let s(f) be the first derivative of -5*f**6/3 - 17*f**5/5 + f**4/2 + 16*f**3/3 + 4*f**2 + f + 2427. Determine h, given that s(h) = 0.
-1, -1/2, -1/5, 1
Let g be ((-79)/1106)/(14/(-392)). Suppose o**3 - o + 17/9*o**g - 2 + 1/9*o**4 = 0. What is o?
-6, -3, -1, 1
Determine d so that -180*d**2 - 1955477*d**3 - 140*d**4 + 504*d**2 + 1954901*d**3 - 8*d**5 = 0.
-9, 0, 1/2
Let g(t) be the first derivative of -20*t**7/21 + 14*t**6/5 - 12*t**5/5 + t**4/3 + 139*t - 72. Let z(k) be the first derivative of g(k). Factor z(d).
-4*d**2*(d - 1)**2*(10*d - 1)
Let u(k) be the second derivative of k**6/120 + 9*k**5/80 - k**4/8 - 29*k**3/6 + 21*k**2 + 810*k. Solve u(x) = 0.
-7, -6, 2
Suppose -451 = -11*i + 10*i. Suppose -5*x = -i + 41. Factor 0*t**5 + 24*t**2 - x*t - 4*t**5 + 20*t**4 - 36*t**3 + 74*t + 4*t**2.
-4*t*(t - 2)*(t - 1)**3
Suppose 5*l = 4*r + 4, -5*r + 3*l = -0*r - 8. Factor -4*q**4 + q - 23*q + r*q**2 + 22*q.
-4*q**2*(q - 1)*(q + 1)
Let r(y) be the first derivative of 8/21*y**3 + 10 - 1/21*y**6 + 3/7*y**2 + 0*y - 1/7*y**4 - 8/35*y**5. What is x in r(x) = 0?
-3, -1, 0, 1
Let v be ((-449)/(-14368))/((1/4)/1). What is t in v*t**2 + 50 - 5*t = 0?
20
Let b(d) be the first derivative of -2/15*d**3 - 12*d + 31/5*d**2 + 25. Suppose b(j) = 0. What is j?
1, 30
Let q(r) = -187*r**2 + 321*r - 1865. Let p(y) = -50*y**2 + 80*y - 466. Let l(z) = 15*p(z) - 4*q(z). Determine i so that l(i) = 0.
-47, 5
Let y(a) be the second derivative of -3/10*a**2 + 0 + 124*a - 2/15*a**3 - 1/60*a**4. Factor y(l).
-(l + 1)*(l + 3)/5
Let a(c) be the second derivative of -c**6/20 - 111*c**5/8 + 561*c**4/8 - 563*c**3/4 + 141*c**2 + 894*c - 1. Factor a(t).
-3*(t - 1)**3*(t + 188)/2
Let j be -5*(-3)/60*(-64)/(-140). Let z(p) be the first derivative of 0*p**3 + 1/28*p**4 + j*p**5 + 0*p**2 + 0*p + 1/14*p**6 + 4. Factor z(q).
q**3*(q + 1)*(3*q + 1)/7
Let g = -750 - -754. Factor 3/5*r**5 + 3/5*r**g - 3/5*r**3 + 0 - 3/5*r**2 + 0*r.
3*r**2*(r - 1)*(r + 1)**2/5
Suppose 0 = 4*g - 3*p - 12, -5*g + 4*p = -p - 20. Suppose g = -6*m + 5 + 7. Factor -4 + 6*j**2 - m*j**2 + 29*j**3 - 49*j**3 + 24*j**3 - 4*j.
4*(j - 1)*(j + 1)**2
Let r(i) = -i**3 + i**2 - 10*i - 1. Let g(h) = 4*h**3 - 84*h**2 + 51*h + 84. Let p(b) = -g(b) - 5*r(b). Factor p(d).
(d - 1)*(d + 1)*(d + 79)
What is l in -1/7*l**5 - 500/7 + 25/7*l**4 + 475/7*l**2 - 199/7*l**3 + 200/7*l = 0?
-1, 1, 5, 10
Suppose 0 = 2*m + 4*x - 18, 8*m = 7*m + 5*x - 12. Suppose -2*o - 7 + 17 = -2*k, -2*k = -5*o + 34. Factor o*p**2 - 128/3 + 4/3*p**m + 0*p.
4*(p - 2)*(p + 4)**2/3
Let j(d) = -4*d**5 + 17*d**4 - 118*d**3 + 349*d**2 - 509*d + 259. Let p(z) = -z**5 - 2*z**3 - z**2 + z + 1. Let r(q) = 2*j(q) - 6*p(q). Factor r(l).
-2*(l - 4)**4*(l - 1)
Let h(z) be the second derivative of -14*z**2 + 5*z - 29/3*z**3 - 1 - 1/10*z**5 - 8/3*z**4. Factor h(j).
-2*(j + 1)**2*(j + 14)
Determine s so that 2/13*s**5 - 54/13 + 90/13*s + 2/13*s**4 - 12/13*s**2 - 28/13*s**3 = 0.
-3, 1, 3
Let s(l) be the first derivative of 0*l + 1/120*l**5 - 1/48*l**4 - 11 - 1/6*l**3 + 2*l**2. Let a(h) be the second derivative of s(h). Factor a(u).
(u - 2)*(u + 1)/2
Suppose -44*x + 42*x + 24 = 0. Suppose -4*r = -2*c + x, 2*r = -c + 6*r + 8. Factor -4 + 55*f**4 + 8*f**3 - 9*f - 2*f**5 + 3*f + c*f**2 - 55*f**4.
-2*(f - 2)*(f - 1)*(f + 1)**3
Let y = -394 + 397. Suppose 9 = y*d, 4*n + 2*d = 3*n + 8. Determine s, given that 18/7 - 9/7*s**3 + 12/7*s**n + 39/7*s = 0.
-1, -2/3, 3
Let v(g) be the third derivative of -g**6/40 - g**5/2 - 7*g**4/8 + 9*g**3 - 749*g**2. Let v(y) = 0. What is y?
-9, -2, 1
Let r(d) be the second derivative of d**7/399 + 7*d**6/285 + d**5/38 - 7*d**4/114 - 2*d**3/19 + 165*d - 4. Find x such that r(x) = 0.
-6, -1, 0, 1
Let r be (-8)/(-10) - (-1377)/(-15). Let f = r + 95. Let 7*h**2 + h**4 - f*h + h**5 - 2*h**5 - 12*h**2 + 4 + 5*h**3 = 0. What is h?
-2, -1, 1, 2
Let d(r) be the second derivative of -r**5/80 + 7*r**4/24 - 55*r**3/24 + 21*r**2/4 + 7500*r. Solve d(p) = 0 for p.
1, 6, 7
Let c be (10/(-3))/((-1)/(9/18)). Let a(u) be the second derivative of 0 + 1/5*u**5 + 16*u + 0*u**3 + 0*u**2 - c*u**4. Solve a(v) = 0.
0, 5
Suppose -3*x + 3*i = -18, -166 = i - 162. Let 605/3 - 110/3*j + 5/3*j**x = 0. What is j?
11
Let v(w) be the first derivative of 1/8*w**2 - 61 - 3/8*w + 1/24*w**3. Find b such that v(b) = 0.
-3, 1
Let u(b) be the first derivative of 53 + 7/20*b**4 + 4/5*b + 23/15*b**3 + 2*b**2. Factor u(k).
(k + 1)*(k + 2)*(7*k + 2)/5
Suppose 5*o + x - 236 = 4*x, -5*o = -5*x - 230. Let f be ((-14)/o)/((-2)/14)*16. Solve f*d - 7*d**3 + 12*d**2 - d**3 - 91*d**4 + 16 + 87*d**4 = 0 for d.
-2, -1, 2
Let m be 1*0*5/(-45). Let a(q) be the third derivative of -1/270*q**5 + 0*q + 1/27*q**4 + m + 5/27*q**3 - 16*q**2. Factor a(z).
-2*(z - 5)*(z + 1)/9
Solve 3/2*y**5 + 99*y**3 + 0*y**2 - 51/2*y**4 + 0 + 0*y = 0 for y.
0, 6, 11
Factor -2*u**3 + 56*u**2 - 51*u**2 - 131*u**2 - 552*u + 22*u**2.
-2*u*(u + 6)*(u + 46)
Let f(u) be the third derivative of -u**5/12 - 185*u**4/8 - 4370*u**3/3 + 610*u**2. Factor f(a).
-5*(a + 19)*(a + 92)
Let n be 34/10 - (-10)/(-25). Factor -5728 + 216*g**n - 96*g**2 + 5728 - 120*g**4 - 48*g + 21*g**5.
3*g*(g - 2)**3*(7*g + 2)
Let d(h) = -h - 1. Let k = -209 - -230. Let s(r) = -r**2 - 9*r + 1. Let i(x) = k*d(x) - 3*s(x). Determine q so that i(q) = 0.
-4, 2
Determine d, given that 52212*d - 228*d**3 - 52441/2 - 25763*d**2 - 1/2*d**4 = 0