 0, 1, 2
Let u(w) be the first derivative of w**3/15 + 488*w**2/5 + 238144*w/5 + 1174. Find i such that u(i) = 0.
-488
Let c(p) = -p + 18. Let s be c(10). Suppose 0 = -5*a + 23 - s. Factor -3 - a + k**3 - 9*k**2 + 3 + 2*k**3 + 9*k.
3*(k - 1)**3
Determine u, given that 63*u**3 + 45/2 + 213/2*u**2 + 321/4*u + 3/4*u**5 + 15*u**4 = 0.
-15, -2, -1
Let w(f) be the first derivative of -f**6/4 + 1266*f**5/5 + 3807*f**4/4 + 1270*f**3 + 2541*f**2/4 + 12180. Solve w(g) = 0.
-1, 0, 847
Let j(i) = i**3 - i**2 - 3*i + 6. Let w be j(-2). Suppose 21*r + 34*r = w. Factor 4/9*a**4 + 2/9*a + r - 4/9*a**2 + 0*a**3 - 2/9*a**5.
-2*a*(a - 1)**3*(a + 1)/9
Factor 0 - 5*h**2 - 2/3*h + 17/3*h**3.
h*(h - 1)*(17*h + 2)/3
Find d such that 2/15*d**4 + 167555658272/15 + 1245766976/15*d + 4304/15*d**3 + 1157776/5*d**2 = 0.
-538
Let t be (570/(-8))/((-10)/160*6). Let l = t + -187. Solve 4/5*v**l - 1/5 + 6/5*v - 9/5*v**2 = 0 for v.
1/4, 1
Factor -86/5 - 2/15*l**2 - 92/15*l.
-2*(l + 3)*(l + 43)/15
Let p = 108763/62 - 1754. Let q = p + 225/31. Solve 9/2*f**4 + 0*f**2 + q*f**5 + 0 - 3*f**3 + 0*f = 0.
-1, 0, 2/5
Suppose -a = -5*m - 25, 15 = -16*a + 14*a - 3*m. Suppose -13*i - 4 + 30 = a. Determine x, given that 0 + 0*x + 2/3*x**4 + 0*x**i + 0*x**3 + 1/6*x**5 = 0.
-4, 0
Let z(x) be the first derivative of 9*x**3 + 1857*x**2/2 - 414*x + 766. Factor z(n).
3*(n + 69)*(9*n - 2)
Determine s, given that -152/5*s**2 + 0 - 7/5*s**5 + 213/5*s**3 + 28/5*s - 82/5*s**4 = 0.
-14, 0, 2/7, 1
Let l be (-4624)/(-180) + 8/(-10). Let t = 3826/153 - l. Factor 2/17*q**2 + 0 + t*q**3 + 0*q.
2*q**2*(q + 1)/17
Let n(i) be the third derivative of i**5/30 + 181*i**4/12 + 880*i**3/3 + 1786*i**2. Let n(u) = 0. Calculate u.
-176, -5
Factor -5*t**2 - 1690 + 72*t - 367*t - 178*t - 382*t.
-5*(t + 2)*(t + 169)
Suppose 2*g - 3*u - 6 = -2, -g - 3 = -4*u. Suppose -3*i + 9 = 2*y, g*i + 7 = 4*i - 4*y. Solve 59*j**3 + j**5 + 64*j**2 + i*j**3 + 5*j**5 - 44*j**4 + 0*j**5 = 0.
-2/3, 0, 4
Let d = 40/19 + -5581/2660. Let s(y) be the second derivative of 0 - 2/21*y**3 + d*y**5 - 4*y - 2/7*y**2 + 1/84*y**4. Factor s(z).
(z - 2)*(z + 1)*(z + 2)/7
Let m(n) = -7*n**3 - 342*n**2 + 2365*n - 2072. Let t(v) = -4*v**3 - 228*v**2 + 1579*v - 1382. Let q(g) = -5*m(g) + 8*t(g). Find f, given that q(f) = 0.
1, 8, 29
Let z(u) be the second derivative of -5*u**4/12 - 15*u**3/2 + 475*u**2 - 140*u - 14. Factor z(t).
-5*(t - 10)*(t + 19)
Factor -40/3*d + 0 + 1/3*d**2.
d*(d - 40)/3
Let t(s) be the second derivative of -s**4/6 + 4*s**2 + 90*s. Let d(g) = 3*g**2 - g - 10. Let k(z) = 4*d(z) + 5*t(z). Suppose k(r) = 0. What is r?
0, 2
Let x be 8/20 + 32/20. Let t(o) = 6*o - x*o**2 - 5*o + 3*o**2. Let f(c) = -11*c**3 - 29*c**2 - 21*c - 3. Let z(q) = -f(q) - 4*t(q). Factor z(v).
(v + 1)**2*(11*v + 3)
Let n = -1363 - -1040. Let f = -964/3 - n. Determine c, given that 0*c - 1/3*c**5 + 0*c**2 + f*c**4 - 2*c**3 + 0 = 0.
0, 2, 3
Let i(d) be the first derivative of -2880*d**2 + 76808/33*d**3 + 10/11*d**5 - 231 + 12800/11*d + 90*d**4. Suppose i(x) = 0. What is x?
-40, 2/5
Let -240*p**4 - 313803*p - 16125*p**2 - 1194*p**3 - 1282*p**5 + 26455 + 1279*p**5 + 175305*p**2 + 14745 + 114860 = 0. What is p?
-51, 1, 20
Let m(h) be the first derivative of -h**5/35 + 3*h**4/7 - 16*h**3/7 + 32*h**2/7 + 195*h + 117. Let z(w) be the first derivative of m(w). Factor z(i).
-4*(i - 4)**2*(i - 1)/7
Let o(g) = 12*g**2 + 1026*g + 510. Let m be o(-85). Let l(t) be the second derivative of -1/130*t**5 + 0*t**2 + 0*t**3 + m + 1/78*t**4 + 28*t. Factor l(i).
-2*i**2*(i - 1)/13
Let s = 1173 - 1173. Let v(y) be the first derivative of -4/85*y**5 + 0*y**2 + s*y + 0*y**4 - 20 + 0*y**3 - 1/51*y**6. Factor v(c).
-2*c**4*(c + 2)/17
Let j(c) be the second derivative of 94*c - 529/36*c**4 + 46/9*c**3 - 2/3*c**2 + 0. Find o, given that j(o) = 0.
2/23
Let b(g) be the third derivative of -g**7/1470 + g**5/30 - g**4/7 - g**3/2 + 53*g**2. Let j(s) be the first derivative of b(s). Factor j(i).
-4*(i - 2)*(i - 1)*(i + 3)/7
Solve 360 + 32/7*v**3 + 6738/7*v + 4528/7*v**2 = 0.
-140, -3/4
Suppose 0 = 8*a + 3878 + 5538. Let h = 1177 + a. Suppose h - 2/5*t**4 - 2/5*t**5 + 2/5*t**2 + 0*t + 2/5*t**3 = 0. What is t?
-1, 0, 1
Let b(h) be the second derivative of -h**8/36960 + h**6/3960 - h**4/4 + 2*h**2 - 2*h - 2. Let s(i) be the third derivative of b(i). Factor s(o).
-2*o*(o - 1)*(o + 1)/11
Suppose -10*k = -30*k - 16*k + 72. Let n(t) be the first derivative of 1/4*t**4 + 9/2*t**k + 15 + 2*t**3 + 4*t. Factor n(i).
(i + 1)**2*(i + 4)
Let d(y) be the second derivative of -8/3*y**4 - 2*y + 1/10*y**5 + 16*y**2 - 53 - 1/3*y**3. Determine h so that d(h) = 0.
-1, 1, 16
Let j(y) be the third derivative of y**7/420 + y**6/30 + 19*y**5/120 + y**4/4 - y**2 - 60. Suppose j(h) = 0. Calculate h.
-4, -3, -1, 0
Let c(t) be the first derivative of -36*t**5/35 - 11*t**4 + 24*t**3 - 80*t**2/7 + 2185. Solve c(k) = 0.
-10, 0, 4/9, 1
Suppose -129 - 9 = -5*i - 3*s, -4*i + 114 = 6*s. Determine z so that 1941/8*z**2 + 225/8*z**4 + i - 549/4*z - 165*z**3 = 0.
3/5, 2/3, 4
Solve 9*q**4 - 6*q + 15*q**3 + q**2 + 0*q**2 - 6*q**5 - 5*q**2 - 5*q**2 - 3*q**3 = 0.
-1, -1/2, 0, 1, 2
Let n = 52 + -36. Let z = 19 - n. Factor 2 + 8*i**z - 3*i**3 - 3*i + 2*i**3 - 6*i**3.
(i - 1)**2*(i + 2)
Suppose c + g + 4*g + 20 = 0, 0 = 3*c - 5*g. Let l(a) = 9*a**2 - 9*a - 4. Let n(y) = -11*y**2 + 10*y + 4. Let d(w) = c*n(w) - 6*l(w). Solve d(z) = 0 for z.
-2
Let v = -7 - -9. Let u = 18783 + -18779. Factor 1/3*k**u - k**3 + k - 2/3 + 1/3*k**v.
(k - 2)*(k - 1)**2*(k + 1)/3
Let c(n) = n**2 + 13*n - 3. Let r be c(-16). Let s = r - 42. Factor -9*m**4 - m**3 - 7*m**3 - 4 + 8*m**4 + 4*m + 6*m**s + 3*m**2.
-(m - 1)**2*(m + 2)**2
Let 3*s**4 + 0 + 645*s**2 - 975/2*s - 162*s**3 + 3/2*s**5 = 0. Calculate s.
-13, 0, 1, 5
Let v = 9 + 19. Solve 2*j**3 - 16 - 26*j**2 + 74*j - 20 + 14 - v*j = 0.
1, 11
Let l(z) be the third derivative of -z**6/480 - z**5/15 - 43*z**4/96 + 5*z**3/2 + 3983*z**2. Find u such that l(u) = 0.
-12, -5, 1
Suppose -15*r + 16*r = 19. Factor 34*k - r*k**2 + k**3 + 0*k - 45 + 15*k + 14*k.
(k - 15)*(k - 3)*(k - 1)
Let k = 77145 - 77145. Determine j so that 0*j**3 - 3/2 + k*j + 3*j**2 - 3/2*j**4 = 0.
-1, 1
Let v(q) be the second derivative of q**6/10 - 21*q**5/10 + 73*q**4/4 - 84*q**3 + 216*q**2 + 2176*q. Factor v(i).
3*(i - 4)**2*(i - 3)**2
Let k(g) be the third derivative of -1/18*g**3 - 48*g**2 - 1/18*g**5 - 1/1008*g**8 + 0 + 0*g - 5/72*g**4 - 1/36*g**6 - 1/126*g**7. Solve k(q) = 0 for q.
-1
Let s(f) = -35*f**2 + 29*f + 59. Let g(w) = -18*w**2 + 18*w + 33. Let y(v) = -5*g(v) + 3*s(v). Factor y(c).
-3*(c + 1)*(5*c - 4)
Let w(q) = 2*q**2 - 87 + 7*q**2 + 107 - 2*q**4 + 10*q**3 - 31*q. Let a(r) = 2*r**4 - 10*r**3 - 10*r**2 + 30*r - 20. Let t(c) = -3*a(c) - 4*w(c). Factor t(m).
2*(m - 5)*(m - 1)**2*(m + 2)
Solve 24624675/4 + 3/4*o**2 + 8595/2*o = 0.
-2865
Let s = 2246 - 1078079/480. Let n(j) be the third derivative of -13*j**2 - 1/240*j**5 + 0 + 0*j + s*j**6 - 1/96*j**4 + 1/24*j**3. Suppose n(i) = 0. Calculate i.
-1, 1
Suppose 5*k + 259 = 274. Let l(m) be the second derivative of -13/60*m**5 + 4/3*m**2 - 1/30*m**6 + 2/9*m**k - 12*m - 7/18*m**4 + 0. Find v such that l(v) = 0.
-2, -1, 2/3
Let p(q) = -3*q - 39. Let r be p(-13). Suppose 3*h = -3*n + 12, 5*h - 4*n - 5 + 3 = r. Determine y so that 30*y**h - 61*y**2 - 12 + 16*y + y**3 + 24*y**2 = 0.
2, 3
What is r in -6*r**4 + 116*r**2 - 46*r - 282*r - 84 + 33 - 78 + 328*r**3 + 19 = 0?
-1, -1/3, 1, 55
Let c = 17187/8 - 17185/8. What is h in h**4 + c*h + 0 + 9/4*h**3 + 3/2*h**2 = 0?
-1, -1/4, 0
Let z be (0 - 0) + (-1 - -182). Suppose z + 89 = 9*r. Factor r*w**2 + 656 + 2*w**3 - 406 - 4*w**3 - 150*w.
-2*(w - 5)**3
Factor -474/5*d**2 + 8/5 - 468/5*d - 119/5*d**3.
-(d + 2)**2*(119*d - 2)/5
Let l(j) be the first derivative of j**4/34 - 106*j**3/51 + 46*j**2/17 + 624*j/17 + 3822. Factor l(y).
2*(y - 52)*(y - 3)*(y + 2)/17
Let a be 0*(((-272)/(-51) - 5) + (-1)/(-6)). Let w(d) be the third derivative of -43*d**2 - 19/20*d**5 + 0 - 1/4*d**4 + a*d + 0*d**3. Factor w(o).
-3*o*(19*o + 2)
Let t be (0/3 - 2) + (-660448)/(-177632). Let y = -3/793 + t. Find a such that 8/7*a + 0 - 4/7*a**5 - 12/7*a**4 + y*a**2 - 4/7*a**3 = 0.
-2, -1, 0, 1
Factor 10 - 1 - 8 + 24*v**3 + 38*v**3 - 84*v - 5 - 21*v**4 + 3*v**2.
-(v - 2)**2*(v + 1)*(21