603/3 + t. Factor -5/9 + 1/9*c**3 - c - j*c**2.
(c - 5)*(c + 1)**2/9
Let o(n) be the first derivative of 3*n**4/2 - 5*n**3 - 2*n**2 + 17*n - 3. Let v(r) = -r**3 - r - 2. Let z(m) = -o(m) - v(m). Factor z(y).
-5*(y - 3)*(y - 1)*(y + 1)
Let z = -194 - -195. Let -z + 14225*x + 6*x**2 - x**3 - 5 - 14224*x = 0. What is x?
-1, 1, 6
Factor -823 - 1653*i + 3*i**2 - 2647 - 1762 + 6882.
3*(i - 550)*(i - 1)
Let m(o) be the first derivative of -2*o**6/21 - 8*o**5/7 + 96*o**4/7 + 5383. Find l, given that m(l) = 0.
-16, 0, 6
Let b(i) be the first derivative of 4/3*i**3 + 15 - 14*i**2 + 48*i. Find m such that b(m) = 0.
3, 4
Let w(v) be the first derivative of 43 - 1/3*v**6 - 8*v**5 + 1372*v + 637*v**2 - 308/3*v**3 - 62*v**4. Factor w(u).
-2*(u - 2)*(u + 1)*(u + 7)**3
Let y(l) be the third derivative of 0 - 4*l + 40/3*l**3 + 19/15*l**5 - 1/60*l**6 - 6*l**2 + 79/12*l**4. Factor y(f).
-2*(f - 40)*(f + 1)**2
Let m(p) be the second derivative of -p**4/12 - 17*p**3 - 2601*p**2/2 + 2*p + 575. Factor m(o).
-(o + 51)**2
Let j(b) = -3*b**4 - 9*b**3 - 9*b**2 + 14*b + 17. Let y = -112 - -118. Let x(u) = u**4 + 3*u**3 + 3*u**2 - 5*u - 6. Let w(r) = y*j(r) + 17*x(r). Solve w(v) = 0.
-1, 0
Let x be 332/14 + 46/161. Factor -59*q**2 + 2*q**3 + 32*q**2 - 45*q + 9*q**2 + q**3 - x.
3*(q - 8)*(q + 1)**2
Let y(s) be the third derivative of -s**7/1050 + s**6/150 + s**5/100 - 7*s**4/60 + 4*s**3/15 + s**2 - 85. Factor y(r).
-(r - 4)*(r - 1)**2*(r + 2)/5
Let i(u) = 8*u**3 - 14*u - 2. Let a(j) = j**4 - 7*j**3 - j**2 + 16*j + 3. Let t(f) = -2*a(f) - 3*i(f). What is m in t(m) = 0?
-5, -1, 0, 1
Let c = 277974 + -277974. Determine p so that 16/7*p**2 + 2/7*p**4 + 0*p - 18/7*p**3 + c = 0.
0, 1, 8
Find q such that 9*q**3 + 73*q**2 + 324*q - 3*q**3 + 112*q**2 + 6*q**3 + 135 + 16*q**2 = 0.
-15, -1, -3/4
Let a be 1 - (3 + -3) - (-12)/2. Suppose 0*s + a = 5*b + 2*s, -b - 17 = 5*s. Factor 5*t**b + 5/3*t**4 - 5*t - 10/3 + 5/3*t**2.
5*(t - 1)*(t + 1)**2*(t + 2)/3
Suppose -2*y + 9 = 14 - 9. Let x(h) be the second derivative of 4*h**y + h**3 - 19*h + 0 - 1/6*h**4. Find v such that x(v) = 0.
-1, 4
Let n(d) be the second derivative of -d**6/180 - d**5/60 + d**4/8 + d**3/18 - 2*d**2/3 - 11010*d. Let n(u) = 0. What is u?
-4, -1, 1, 2
Suppose -11*d + 33*d = -44. Let l be d/((-1)/(5/55)). Factor 2/11*c**4 + 0 - 4/11*c**3 + l*c**2 + 0*c.
2*c**2*(c - 1)**2/11
Let i be (2/100)/((-18756)/(-360) - 52). Factor 1/5 - i*c**2 + 0*c.
-(c - 1)*(c + 1)/5
Let k(o) = -36*o**2 + 26*o. Let s(a) = a**4 + a**3 + a**2 + 2*a. Let z(r) = -k(r) - 2*s(r). Solve z(y) = 0 for y.
-5, 0, 1, 3
Let k be 4556/19363 - (-4)/(-17). Determine n so that k + 13/5*n - 1/5*n**2 = 0.
0, 13
Let f = 631 - 632. Let j be (-357)/(-70) + -6 - f. Factor 8/5*u - 3/5*u**4 + 1/10*u**5 + 12/5*u**2 + 0 + j*u**3.
u*(u - 4)**2*(u + 1)**2/10
Let h(d) be the second derivative of d**4/12 - 281*d**3/2 - 422*d**2 - 11090*d. Let h(q) = 0. What is q?
-1, 844
Let m = -66029/2 - -33031. Determine r, given that -35/2*r**3 + 12*r - 93/2*r**4 + m*r**2 + 2 - 45/2*r**5 = 0.
-1, -2/5, -1/3, 2/3
Let o(f) be the third derivative of f**6/300 - f**5/30 - f**4/30 + 8*f**3/5 + 628*f**2. Determine p, given that o(p) = 0.
-2, 3, 4
Solve -9/4*w**3 - 525/4 + 93/4*w**2 - 135/4*w = 0 for w.
-5/3, 5, 7
Let l = 187 - 135. Solve 28*c**2 + 19*c**2 - 13*c - 52*c**2 - l*c = 0.
-13, 0
Suppose 3 = -2*z + 3*z. Solve 71*c - 32 + 35*c**3 + 49*c**2 + 41*c - 25*c**2 - 111*c**z - 28*c**4 = 0 for c.
-2, 2/7, 1
Factor 24/7 + 68/7*x**2 - 68/7*x + 4/7*x**4 - 4*x**3.
4*(x - 3)*(x - 2)*(x - 1)**2/7
Find b, given that -1660820*b**3 - 4977*b**4 + 38528789*b + 13081*b**4 + 4826809 - 16*b**5 + 293947*b**3 + 76543987*b**2 = 0.
-1/4, 169
Suppose s = -2*o + 4, -3*o + 71 = s + 67. Let h(x) be the first derivative of 1/3*x + 0*x**3 - 1/15*x**5 - 1/6*x**s + 20 + 1/3*x**2. Factor h(v).
-(v - 1)*(v + 1)**3/3
Let i(m) be the second derivative of m**4/66 - 43*m**3/33 + 42*m**2 + m + 1168. Factor i(j).
2*(j - 22)*(j - 21)/11
Let p(b) be the first derivative of -b**6/132 - 4*b**5/165 - b**4/132 + 2*b**3/33 - 45*b**2/2 - 49. Let h(w) be the second derivative of p(w). Factor h(r).
-2*(r + 1)**2*(5*r - 2)/11
Let r be (-918)/(-162) + (-16)/6. Determine u so that -u**r + 0*u + 0 - 1/3*u**4 - 2/3*u**2 = 0.
-2, -1, 0
Let p(c) be the second derivative of -c**5/20 - 617*c**4/12 - 308*c**3/3 - 11*c - 557. Find u such that p(u) = 0.
-616, -1, 0
Let z(h) be the second derivative of -h**5/10 + 31*h**4/6 - 230*h**3/3 + 200*h**2 - 122*h - 16. What is u in z(u) = 0?
1, 10, 20
Let g = 6943/83220 + -2/20805. Let x(n) be the second derivative of 0*n**2 - 45*n + 0*n**4 + 1/40*n**5 - g*n**3 + 0. Let x(t) = 0. Calculate t.
-1, 0, 1
Let 356/3*y + 7/3 - 415/3*y**2 + 52/3*y**3 = 0. What is y?
-1/52, 1, 7
Let d(w) be the second derivative of 0 + 0*w**5 - 1/8*w**2 + 43*w + 1/24*w**4 + 0*w**3 - 1/120*w**6. Suppose d(m) = 0. What is m?
-1, 1
Let r(z) = 3*z**2 + 4*z + 7. Let j be r(-6). Let u = 93 - j. Solve h**4 + 12*h**u - 2 + 37*h - 45*h + 2 - 6*h**3 = 0 for h.
0, 2
Suppose -656*w = -665*w - 2610. Let v be w/70 - (-6 - -1). Determine m so that -2/7*m - 6/7*m**3 + 0 + 2/7*m**4 + v*m**2 = 0.
0, 1
Let y(u) be the second derivative of u**6/30 - u**5/4 - u**4/4 + 17*u**3/6 - 5*u**2 + 1007*u. Find l, given that y(l) = 0.
-2, 1, 5
Let m(w) be the second derivative of -1/36*w**3 - 107*w + 0*w**4 + 1/120*w**5 + 0*w**2 + 0. Let m(r) = 0. Calculate r.
-1, 0, 1
Let m(l) be the first derivative of -l**6/20 - 21*l**5/40 - l**4 + 4*l**3 - 283*l + 30. Let y(r) be the first derivative of m(r). Let y(i) = 0. Calculate i.
-4, 0, 1
Factor -8/3 - 2/3*i**2 + 10/3*i.
-2*(i - 4)*(i - 1)/3
Factor 0*r**2 + 0 - 1/2*r**4 + 0*r - 1/4*r**5 + 3/4*r**3.
-r**3*(r - 1)*(r + 3)/4
Factor -756 - 161*z**2 + 65*z**2 - 55*z - 1634*z + 60*z**2 + 63*z**2.
3*(z - 63)*(9*z + 4)
Let d(k) be the first derivative of -k**4/6 + 16*k**3/3 - 4096*k/3 - 808. Suppose d(f) = 0. Calculate f.
-8, 16
Factor 2*t**2 - 228 - 3*t**3 - 260 + 132*t + 0*t + 236 + t**2.
-3*(t - 6)*(t - 2)*(t + 7)
Let h = -3/8447 + 228081/33788. Factor -99/4*r + 27/4 + 69/2*r**2 + h*r**4 - 45/2*r**3 - 3/4*r**5.
-3*(r - 3)**2*(r - 1)**3/4
Let u = 0 + 3. Let y = 54278/11 + -108523/22. Suppose y - 2*k**2 + k**u + 1/2*k**4 - k = 0. What is k?
-3, -1, 1
Let p be -4 - 2/3*-21. Find w such that 8*w**2 + 1 - 9*w**2 + p*w + 0 - 17 = 0.
2, 8
Let m = -24 + 29. Suppose 0 = -n - 3*n - a + 18, -2*n = -m*a - 20. Factor -426 + 3*g**n + 3*g**3 - 6*g**4 + 426.
3*g**3*(g - 1)**2
Let j be 82*(-17)/(-18122) - 102/(-26). Find s such that -2*s**3 + 0 - 56/11*s - 2/11*s**j - 64/11*s**2 = 0.
-7, -2, 0
Determine f, given that 2/9*f**3 + 74/3*f + 16/3*f**2 - 272/9 = 0.
-17, -8, 1
Factor 112*d - 31360 - 1/10*d**2.
-(d - 560)**2/10
Let f = -286 - -290. Factor 11*p**3 + 5 + 16*p**3 - 5*p**f - 10*p - 17*p**3.
-5*(p - 1)**3*(p + 1)
Determine l so that -1083*l - 128 - 2510*l**3 - 4976*l**2 - 261*l + 1416*l**2 - 182*l**4 + 974*l**3 = 0.
-4, -2/7, -2/13
Let l(x) be the third derivative of x**5/120 + 23*x**4/2 + 551*x**3/12 - 2*x**2 - 39. Let l(o) = 0. What is o?
-551, -1
Factor 494 - 2309*t**2 + 6*t**3 + 222 + 20*t**2 - 1434*t + 145*t**2.
2*(t - 358)*(t + 1)*(3*t - 1)
Let c be ((-1)/4)/((-10665)/474). Let k(y) be the third derivative of -1/18*y**4 + 0*y + 0 + c*y**5 + 1/9*y**3 + y**2. Find p, given that k(p) = 0.
1
Let c(l) = 8*l**2 + 2*l - 37. Let h(g) = -3*g**2 + 12. Suppose 6*z - 16*z = -40. Let p(s) = z*c(s) + 11*h(s). Factor p(y).
-(y - 4)**2
Determine o, given that 110/3*o + 1/6*o**2 - 221/6 = 0.
-221, 1
Let f(r) = -1. Suppose -5 = -5*b - 5*l - 15, -8 = b - l. Let h(d) = -5*d**2 - 20*d - 20. Let y(o) = b*f(o) + h(o). Factor y(g).
-5*(g + 1)*(g + 3)
Let h(f) be the second derivative of 1/110*f**5 + 58*f - 1/66*f**4 - 20/33*f**3 + 0*f**2 + 0. Find j, given that h(j) = 0.
-4, 0, 5
Let c(z) be the first derivative of 3*z**4/5 + 2824*z**3/15 + 3266*z**2/5 + 1864*z/5 - 3077. Suppose c(v) = 0. What is v?
-233, -2, -1/3
Suppose -34/15*a**4 + 32/3*a + 128/15 - 2/15*a**5 - 94/15*a**2 - 158/15*a**3 = 0. What is a?
-8, -1, 1
Let g = -122 + 426. Let w = g - 300. Suppose 0*z + 0*z**2 + 2/7*z**w - 2/7*z**3 + 0 = 0. What is z?
0, 1
Suppose -5*d = -12*d + 14. Suppose -2*o = 3 - 9. Factor -3*y**2 - 8*y + 2*y + 6*y**o + 3 + y**2 - y**d.
3*(y - 1)*(y + 1)*(2*y - 1)
Supp