). Factor t(w).
(w - 4)*(w - 1)*(3*w + 1)/6
What is i in 0 - 142/3*i + 2/3*i**2 = 0?
0, 71
Let m(z) be the second derivative of -7/2*z**3 - 4*z - 441/2*z**2 + 21 - 1/48*z**4. Factor m(o).
-(o + 42)**2/4
Let t(n) = -950*n**2 - 20890*n - 41805. Let k(w) = 67*w**2 + 1492*w + 2986. Let o(g) = -85*k(g) - 6*t(g). Factor o(s).
5*(s - 298)*(s + 2)
Let h(s) be the third derivative of 0*s + 1/32*s**4 + 0 - 7/3*s**3 + 6*s**2 + 1/480*s**6 - 1/80*s**5. Let w(u) be the first derivative of h(u). Factor w(f).
3*(f - 1)**2/4
Let h(r) be the first derivative of -2*r**6/15 - 2*r**5/5 + 7*r**4/3 - 8*r**3/3 - 60*r - 24. Let x(z) be the first derivative of h(z). Factor x(l).
-4*l*(l - 1)**2*(l + 4)
Let v(r) be the third derivative of 0 + 85/6*r**4 + 26/105*r**7 + 50/3*r**3 + 2*r**2 - 81*r + 29/15*r**6 + 1/84*r**8 + 106/15*r**5. Let v(y) = 0. What is y?
-5, -1
Let t = -2472 - -2475. Let b(v) be the second derivative of -1/16*v**4 - 3/16*v**2 + 0 + 3/16*v**t - 4*v. Let b(r) = 0. Calculate r.
1/2, 1
Let g be (-8)/(-6) - 11/((-132)/(-2836)). Let o = g + 238. Factor 2/9*r**2 - 2/9*r - 2/9 + 2/9*r**o.
2*(r - 1)*(r + 1)**2/9
Let v(q) = q**3 + 7*q**2 - q + 1. Let z(i) be the second derivative of i**5/20 + i**4/6 + i**3/6 + 85*i. Let c(h) = -v(h) + 2*z(h). Factor c(f).
(f - 1)**3
Let t be 76/4 - (-182)/(-143)*11. Factor 28*h - 59/5*h**2 + t + 6/5*h**3.
(h - 5)**2*(6*h + 1)/5
Let c = 1204 + -1202. Let g(t) be the first derivative of -1/5*t**3 + 0*t - 20 - 3/5*t**c. Solve g(n) = 0.
-2, 0
Let g(o) = -o**3 - 6*o**2 + 2*o + 11. Let d be g(-7). Let y = 49 - d. Let 4*x**2 + 5*x**4 + 5*x**y - 8*x**2 + x**2 - 7*x**2 = 0. What is x?
-2, 0, 1
Let k(s) = -5*s**3 - 43*s**2 - 38*s. Let n(h) = -9*h + 3*h**3 - 17*h - 6*h**3 - 29*h**2. Let q(v) = -5*k(v) + 7*n(v). Solve q(b) = 0.
-2, -1, 0
Suppose 3*v + 8 = 3*o - 7*o, 5*v - 40 = 4*o. Determine q, given that 25*q**4 - 98*q**5 - 25*q**v + 96*q**5 + 2*q**3 = 0.
-1, 0, 1
Let f(s) = 19 - s**3 + 6 + s**2 + s - 26. Let o(p) = -12*p**3 + 16*p**2 + 9*p - 19. Let r(k) = -22*f(k) + 2*o(k). Factor r(h).
-2*(h - 4)*(h - 2)*(h + 1)
Let r = -430/77 - -157/28. Let s(f) be the third derivative of -8*f**2 - r*f**4 - 3/110*f**5 + 0 + 0*f - 3/220*f**6 + 0*f**3 - 1/385*f**7. Factor s(t).
-6*t*(t + 1)**3/11
Suppose -2*g - 2*g = -8. Suppose -11 = -2*z + 3*r, -g*z - 4*r + 2 + 2 = 0. Solve 7 - 3 - l**2 - z*l - 3*l**2 + 4*l**3 = 0.
-1, 1
Let z = -59499 - -59501. Let s = -83/5 + 17. Solve 2/5*q - s*q**z + 4/5 = 0 for q.
-1, 2
Let f(q) = 9*q**5 - 40*q**4 - 3*q**3 + 214*q**2 - 4. Let p = 688 + -687. Let h(u) = u**5 - 2*u**3 + u**2 - 1. Let a(y) = p*f(y) - 4*h(y). Factor a(g).
5*g**2*(g - 7)*(g - 3)*(g + 2)
Let k(f) = 5*f**4 - 60*f**3 + 216*f**2 - 205*f + 27. Let j(h) = 36*h**4 - 420*h**3 + 1512*h**2 - 1434*h + 198. Let w(n) = 6*j(n) - 44*k(n). Factor w(v).
-4*v*(v - 26)*(v - 2)**2
Let g(f) be the first derivative of 2*f**3/27 + 133*f**2/9 + 524*f/9 - 13. Factor g(w).
2*(w + 2)*(w + 131)/9
Suppose 2*y = -2*y + 5*k + 13, 0 = -3*y + k + 7. Let -10*h**y - 12*h + 144*h**4 - 139*h**4 - 8*h - 10*h**2 + 5*h**3 = 0. Calculate h.
-2, -1, 0, 2
Suppose 764 = 35*d + 554. Let l(f) be the first derivative of -14 + 2*f**2 + 24*f**3 - 64/5*f**5 - 8*f - 16*f**4 + 10*f**d. Let l(b) = 0. What is b?
-1, -1/3, 2/5, 1
Let l(p) = 2*p**2 - 3*p + 4. Suppose 3*d - 2 = 7. Let s(n) = -49*n + 27*n - d*n**2 - 5 + 26*n. Let m(h) = 4*l(h) + 3*s(h). Factor m(u).
-(u - 1)*(u + 1)
Let n(u) = u**2 - 3*u. Let b(m) = -15*m**2 + 70*m - 35. Suppose -9*s - 23*s = 320. Let f(r) = s*n(r) - b(r). Find d such that f(d) = 0.
1, 7
Let r(v) be the third derivative of v**7/315 + v**6/36 - v**5/10 - 5*v**4/4 + 6*v**2 - 18*v. Find w such that r(w) = 0.
-5, -3, 0, 3
Let t(l) be the second derivative of -l**7/315 - 19*l**6/75 - 361*l**5/50 - 6859*l**4/90 + 83*l + 3. Factor t(q).
-2*q**2*(q + 19)**3/15
Factor 3/7*m**2 - 69/7*m + 360/7.
3*(m - 15)*(m - 8)/7
Let q(f) be the second derivative of -f**5/40 - 5*f**4/12 + 11*f**3/12 + 924*f + 2. Factor q(o).
-o*(o - 1)*(o + 11)/2
Let q(j) be the third derivative of 1/270*j**6 + 2/15*j**5 + 32/27*j**3 + 0*j - 4*j**2 + 19 + 11/18*j**4. Let q(c) = 0. Calculate c.
-16, -1
Let c = 721270 + -721267. Let -24/5*t**2 + 96/5*t**4 - 64/5*t**5 - 4/5*t + 0 - 4/5*t**c = 0. What is t?
-1/4, 0, 1
Let b(k) = 4*k**2 - 14*k - 44. Let w(t) = -t**2 + 3 - 4 - 3*t + 8*t - 5*t. Suppose -3 = -x - 2*x. Let i(q) = x*b(q) + 5*w(q). Determine f, given that i(f) = 0.
-7
Let m be (46/(-12))/((3775 + -26)/(-163)). Let 41/6 - 41/6*x**2 - 1/6*x + m*x**3 = 0. What is x?
-1, 1, 41
Suppose -471 = 3*r + 5*u - 502, -r - 3*u = -17. Let a(d) be the first derivative of 0*d - 22 + 3/5*d**5 - 4*d**3 + 1/2*d**6 + 12*d**r - 9/2*d**4. Factor a(c).
3*c*(c - 2)*(c - 1)*(c + 2)**2
Factor 712*j + 44 + 68*j - 240*j + 68*j**3 + 12 + 552*j**2 + 0.
4*(j + 1)*(j + 7)*(17*j + 2)
Let l be (2 + (-6 - -2))/((-14)/(-98)). Let c = l + 19. Factor c*w**3 + 7 - 6*w**2 + 1 - 3*w**3.
2*(w - 2)**2*(w + 1)
Let y(m) = 65*m - 266. Let l be y(7). Let d be (-84)/l - 110/(-45). Factor -12/5*x**3 - 8/5*x**4 + 0*x**d + 4/5*x + 0.
-4*x*(x + 1)**2*(2*x - 1)/5
Let h be (-10 - (-3445)/340) + (-20)/(-170). Find t, given that -2025/4 - 45/2*t - h*t**2 = 0.
-45
Let z(p) = -17*p - 98. Let b be z(-7). Let u be (-3 + (-104)/(-16))*12/b. Factor 3/7 - 6/7*w + 3/7*w**u.
3*(w - 1)**2/7
Find t such that -264*t + 18*t**5 + 4 + 796*t**3 - 4 - 2150*t**3 + 552*t**4 + 761*t**2 + 287*t**2 = 0.
-33, 0, 2/3, 1
Let h(o) = -11*o**2 - 235*o + 263. Let s(j) = -2*j**2 - 39*j + 44. Let d = 622 + -656. Let f(r) = d*s(r) + 6*h(r). Find v, given that f(v) = 0.
1, 41
Suppose 0 = 1010*h - 1014*h - 4. Let x be (-4)/16*(-11 + h). Factor 1/4*l**x + 3/4*l**4 - 1/4*l**5 - 1 + 3*l - 11/4*l**2.
-(l - 2)*(l - 1)**3*(l + 2)/4
Solve -129/5*y**2 - 132/5*y + 3/5*y**3 + 0 = 0.
-1, 0, 44
Let w(y) = -3*y**2 + 18*y - 47. Let r(m) = m**2 - 9*m + 16. Let s(q) = -5*r(q) - 2*w(q). Determine b, given that s(b) = 0.
-7, -2
Let h = -1088607 + 18506335/17. Factor -6/17*b + 0*b**4 + 0 - 12/17*b**3 + h*b**2 + 2/17*b**5.
2*b*(b - 1)**3*(b + 3)/17
Let j(t) be the second derivative of -t**5/80 - t**4/24 + 85*t**3/24 - 77*t**2/4 + 1292*t. Factor j(l).
-(l - 7)*(l - 2)*(l + 11)/4
Let j(h) = -h**3 - 8*h**2 - 12*h - 26. Let g be j(-7). Suppose 7*v - 4*v - g = 0. Factor 0*i**2 - i**2 + 2*i**3 - i**v - i**2.
i**2*(i - 2)
Let m be (-18)/2 + 2 - (-1 + -6). Let k(w) be the first derivative of 0*w**4 - 13 + 1/9*w**6 + m*w**2 - 2/15*w**5 + 0*w**3 + 0*w. Factor k(g).
2*g**4*(g - 1)/3
Suppose -5*r = 15*r - 80. Factor -r + p**3 - p**3 + 23*p**2 - p**3 + 20*p + 7*p**3 + 0.
(p + 2)**2*(6*p - 1)
Let h(a) = a**3 + 12*a**2 + 10*a - 5. Let w be h(-11). Suppose -g - 3 = -2*k, 0 = 9*g - w*g + 3*k - 18. Factor 0*m - g*m**3 + 0 - 6/5*m**2.
-3*m**2*(5*m + 2)/5
Let h(m) be the third derivative of -m**6/600 + m**5/300 + m**4/5 + 6*m**3/5 - 1638*m**2. Factor h(t).
-(t - 6)*(t + 2)*(t + 3)/5
Let m(u) = -u**3 + 2*u**2 + 9*u - 4. Let a be m(4). Suppose a = 5*n - 6 - 4. Factor 27*h - 5 - 4*h**3 - 1 + 4*h**2 + n - 23*h.
-4*(h - 1)**2*(h + 1)
Let d be (0 - (-6)/11) + (-20022)/(-49203). Let g(w) be the second derivative of -8/7*w**2 + 1/14*w**5 + 0 - d*w**3 - 21*w + 1/21*w**4. Solve g(t) = 0 for t.
-2, -2/5, 2
Let i(s) be the third derivative of s**8/13440 + s**7/1120 + s**6/320 - 52*s**3/3 + 10*s**2. Let m(y) be the first derivative of i(y). Factor m(k).
k**2*(k + 3)**2/8
Let i be (-136)/(-306) + (-128)/(-36). Let c(m) be the second derivative of 9/4*m**3 + 3/4*m**2 + 81/32*m**i + 0 - 5*m. Find q, given that c(q) = 0.
-2/9
Let y(f) be the second derivative of -5*f**4/4 - 1895*f**3/3 - 1260*f**2 - 5*f - 286. What is l in y(l) = 0?
-252, -2/3
Suppose -5*r + 5 + 5 = 0. What is v in 1438*v**3 + 2*v**4 - 2*v**r - 1438*v**3 = 0?
-1, 0, 1
Suppose 143*c - 171*c = -466*c + 1752. Determine k, given that -3/7 + 3/7*k**c - 6/7*k**3 + 0*k**2 + 6/7*k = 0.
-1, 1
Let r(z) be the first derivative of -5*z**3/3 - 5*z**2/2 - 1129. Factor r(m).
-5*m*(m + 1)
What is x in -32*x**3 + 304 + 118*x**3 + 80*x**2 + 616*x + 91*x**2 + 2*x**4 + 225*x**2 = 0?
-38, -2, -1
Suppose 3*c - 22 + 12 = -5*g + 28, 3*c = 18. Determine k, given that -166/9*k**3 + 2*k + 0 + 82/9*k**g - 4/3*k**5 + 26/3*k**2 = 0.
-1/6, 0, 1, 3
Let b be (2424/234 - 10)/((-8)/(-336)). Suppose 6/13*d**3 + 350/