*5 + 590*t**4 - 70*t**3. Let b(x) = 5*l(x) + m(x). Find p, given that b(p) = 0.
-7, 0, 2/17
Factor -2085*i**2 - i**3 + 14*i**3 - 1395 + 6036*i - 25*i**3 + 264*i**2.
-3*(i - 3)*(i + 155)*(4*i - 1)
Let h(t) = 4*t**3 - 128*t**2 + 260*t - 112. Let z be (((-10)/4)/5)/(24/(-384)). Let o(g) = g**3 - 42*g**2 + 87*g - 37. Let w(d) = z*o(d) - 3*h(d). Factor w(y).
-4*(y - 10)*(y - 1)**2
Factor 8/3*n**2 + 56/9 - 26/3*n - 2/9*n**3.
-2*(n - 7)*(n - 4)*(n - 1)/9
Let m(x) be the second derivative of 8/3*x**2 - 6*x + 0 - 7/9*x**3 - 1/18*x**4. Factor m(p).
-2*(p - 1)*(p + 8)/3
Let d(b) = 4*b**2 - b + 1. Suppose -2*h + 7 = h - 5*r, -3*h + 3*r = -3. Let a be d(h). Factor a*o - 3/2*o**2 + 0.
-3*o*(o - 4)/2
Let a(y) be the second derivative of 0 + 45*y - 4/3*y**3 + 1/2*y**4 + y**2. Solve a(m) = 0 for m.
1/3, 1
Let d(p) = -p**2 - 3*p + 28. Let l be d(-7). Suppose -2*f + 8 + 14 = l. Find w, given that w - f*w**2 - 5*w + 4*w**3 + 15*w**2 - 4*w**4 = 0.
-1, 0, 1
Let d(x) be the first derivative of 4/3*x**3 + 103 + 0*x**2 + 0*x - x**4. Factor d(u).
-4*u**2*(u - 1)
Let b(m) = 62*m**2 - 24*m + 93. Let o be b(3). Let t = o + -576. Factor -300*j**2 - 5000 - 2000*j - 1/2*j**4 - 20*j**t.
-(j + 10)**4/2
Suppose -5*r + 4*s = -31, 4*s + 50071 - 50070 = -5*r. Factor 14/5*p**r - 4/5 + 4/5*p**2 - 14/5*p.
2*(p - 1)*(p + 1)*(7*p + 2)/5
Let w be ((-10478120)/24330)/(0 - 0 - 4). Find x, given that -361/3 + w*x + 37/3*x**2 + 1/3*x**3 = 0.
-19, 1
Let r(b) be the first derivative of -b**4/4 - 7*b**3/3 + 65*b**2 - 224*b - 1825. Factor r(d).
-(d - 7)*(d - 2)*(d + 16)
Let o(l) be the first derivative of l**3 + 27*l**2/2 - 30*l - 1130. Find d, given that o(d) = 0.
-10, 1
Suppose -1455*l - 2605 = -5515. Factor -1/7*x**3 - 27/7*x + 10/7*x**l + 18/7.
-(x - 6)*(x - 3)*(x - 1)/7
Factor 150*g**2 - 567*g - 349 - 5*g**3 + 372 - 540 - 118*g - 323.
-5*(g - 24)*(g - 7)*(g + 1)
Let q = -8770/43 + 226549/387. Let s = -380 + q. Factor 2/3 - s*w - 1/9*w**3 + 8/9*w**2.
-(w - 6)*(w - 1)**2/9
Let l(o) = -43*o**2 - 4 - 1 + 48*o**3 + 11*o**2 - 50*o**3. Let x(b) = -b**3 - 15*b**2 - 2. Let m(s) = 2*l(s) - 5*x(s). Find w, given that m(w) = 0.
-11, 0
Let u(w) = 4*w - 31. Let v be u(9). Suppose l - 18 = -3*l + 2*y, y = l - v. Find c, given that c + 0 - 5*c - 8*c**2 - 3 + 11 + l*c**3 = 0.
-1, 1, 2
Let d(m) be the first derivative of -m**4/36 - 10*m**3/27 + m**2/18 + 10*m/9 + 1106. Solve d(k) = 0 for k.
-10, -1, 1
Suppose -190 = -101*j - 144*j + 300. Let b(x) be the first derivative of 15 - x**4 + 0*x**3 + 0*x + 0*x**5 + 1/3*x**6 + x**j. Factor b(f).
2*f*(f - 1)**2*(f + 1)**2
Let a(k) be the second derivative of 0 + 8*k**2 + 1/5*k**5 - 71*k + 2*k**4 + 6*k**3. Factor a(o).
4*(o + 1)**2*(o + 4)
Suppose -4288/5*g**2 + 0 - 64*g - 1040*g**4 - 15168/5*g**3 + 676/5*g**5 = 0. What is g?
-2, -2/13, 0, 10
Let q(s) be the third derivative of 3*s**2 + 0 + 0*s**3 + 0*s**4 + 1/60*s**6 - 5*s + 0*s**5 - 1/630*s**7. Factor q(k).
-k**3*(k - 6)/3
Let w(y) be the second derivative of -y**5/20 - 14*y**4/3 - 211*y**3/6 - 78*y**2 + 18*y - 12. Determine j, given that w(j) = 0.
-52, -3, -1
Suppose -129*a + 117 + 107 = -292. Solve 0*f - 4*f**3 - 1/3*f**5 + 8/3*f**2 + 2*f**a + 0 = 0 for f.
0, 2
Suppose 8196 = 75*r + 8196. Solve r + 0*c**3 + 64/7*c - 48/7*c**2 + 4/7*c**4 = 0 for c.
-4, 0, 2
Let k(c) = -7*c**3 + 102*c**2 + 515*c + 669. Let n(l) = l**3 - 17*l**2 - 86*l - 114. Let q(r) = 4*k(r) + 26*n(r). Factor q(h).
-2*(h + 4)**2*(h + 9)
Factor 1183*m**3 - 783*m**3 + 5*m**4 - 536*m**2 - 613*m**3 - 180*m.
m*(m - 45)*(m + 2)*(5*m + 2)
Let k(q) = -6*q + 190. Let c be k(31). Factor 357*h**2 + h**4 - c*h**3 - 366*h**2 - 4*h**3.
h**2*(h - 9)*(h + 1)
Factor -130423 + 130363 + 18*n**2 - 4*n**3 + 5*n**3 + 41*n.
(n - 1)*(n + 4)*(n + 15)
Let z(d) = d**2 - 2*d - 2. Suppose 16 = -28*m + 32*m. Let h be z(m). Determine x, given that 0*x**4 - 2 + 3*x**4 - 6*x**3 - 2*x**2 + h*x + 3*x**4 - 2*x**4 = 0.
-1, 1/2, 1
Let y(a) be the third derivative of 0*a + 1/3*a**5 - 11*a**2 + 5/8*a**4 + 0*a**3 + 1/24*a**6 + 0. Factor y(j).
5*j*(j + 1)*(j + 3)
Let w(m) be the second derivative of m**6/105 - m**5/7 + m**4/6 + 6*m**3/7 + 278*m. Let w(n) = 0. What is n?
-1, 0, 2, 9
Factor -1837 - 2*b**3 - 2*b - 1834 + 3*b**3 - 5*b**2 + 3695.
(b - 4)*(b - 3)*(b + 2)
Let r(m) be the third derivative of -m**8/20160 + m**7/2520 + m**6/240 + m**5/12 - 2*m**3 - 9*m**2 - 1. Let p(j) be the third derivative of r(j). Factor p(u).
-(u - 3)*(u + 1)
Suppose 2*d + 2*d - 192 = 0. Let j = d + -26. Factor j - w**3 + 3*w**2 - 22 + 4*w**3.
3*w**2*(w + 1)
Let c(t) = -416*t**2 + 8738*t - 39. Let n be c(21). Factor -100/7 + 190/7*i - 64/7*i**2 + 6/7*i**n.
2*(i - 5)**2*(3*i - 2)/7
Let b(s) be the first derivative of 55*s**3 + 655*s**2/2 - 20*s + 15321. Factor b(w).
5*(w + 4)*(33*w - 1)
Let b = 9211 - 9201. Let o(y) be the first derivative of -162/5*y + 3/10*y**4 - b + 81/5*y**2 - 18/5*y**3. What is a in o(a) = 0?
3
Let a(y) be the first derivative of -3*y**4/16 - 254*y**3/3 - 169*y**2/2 + 3534. Let a(u) = 0. What is u?
-338, -2/3, 0
Factor 62/17*x**4 - 2/17*x**5 + 0*x - 448/17*x**3 - 512/17*x**2 + 0.
-2*x**2*(x - 16)**2*(x + 1)/17
Suppose d = -4*k + 51, -16*d - 18 = -2*k - 18*d. Let x(r) = -r + 14. Let f be x(k). Factor 0*i + 3/5*i**5 + f + 0*i**2 + 0*i**3 + 0*i**4.
3*i**5/5
Let n(g) be the second derivative of -2*g**6/35 + 45*g**5/28 - 25*g**4/14 - 75*g**3/14 + 81*g**2/7 + 427*g. Suppose n(j) = 0. What is j?
-1, 3/4, 1, 18
Let b(g) be the third derivative of g**6/24 + 101*g**5/12 + 185*g**4/3 + 490*g**3/3 + 3558*g**2. Factor b(w).
5*(w + 1)*(w + 2)*(w + 98)
Suppose 0 = -104*i + 100*i. Let d(t) be the second derivative of 1/120*t**5 + 0*t**2 + 13*t + i + 1/12*t**3 + 1/18*t**4. Factor d(j).
j*(j + 1)*(j + 3)/6
Let 332*u + 1775*u + u**3 + 43*u**2 + 2186 - 138*u**2 + 5017 = 0. What is u?
-3, 49
Let u = 351 - 1. Let f be (-8 + u/40)/(9/16). Solve 0*c**2 + f + 2/3*c**3 - 2*c = 0.
-2, 1
Determine q, given that -172797/7*q - 3/7*q**3 + 171363/7 + 1437/7*q**2 = 0.
1, 239
Let r = -31 + 34. Suppose -3*d = r*s - 24, 0 = 4*s - 0*d - 3*d - 53. Let 12*c**4 + 4*c**5 - c**3 + s*c**3 - 12*c**2 - c - 7*c - 6*c**3 = 0. Calculate c.
-2, -1, 0, 1
Let u(d) be the first derivative of -235 - 115/3*d**3 - 1/2*d**5 + 180*d**2 - 405/2*d - 10*d**4. Factor u(t).
-5*(t - 1)**2*(t + 9)**2/2
Let v(l) be the second derivative of 0 + 10*l + 7/72*l**5 + 7*l**2 + 2/9*l**3 - 17/72*l**4. Let x(s) be the first derivative of v(s). Factor x(w).
(5*w - 2)*(7*w - 4)/6
Let h(b) be the third derivative of -b**6/540 - 17*b**5/270 - 31*b**4/108 - 5*b**3/9 - 29*b**2 - 16. Solve h(j) = 0 for j.
-15, -1
Let l be 2/(12/21)*(-60)/21. Let f(k) = -2*k**2 - 15*k + 52. Let b be f(l). What is h in 0*h**3 + h**b + 0 - 3/4*h**4 + 0*h + 1/4*h**5 = 0?
-1, 0, 2
Factor -312/5 + 3/5*i**2 + 30*i.
3*(i - 2)*(i + 52)/5
Let n be 10/(-330) - ((-13320)/(-396) + -34). Suppose -n*s**2 - 20/3 + 4*s = 0. What is s?
2, 10
Suppose 67 = x + 3*n - 2, -3*n - 159 = -3*x. Factor -14*i**2 + 12 + 13*i + 6*i - x*i.
-2*(i + 3)*(7*i - 2)
Let u(h) be the first derivative of -h**6/6 - 7*h**5/5 + h**4/2 + 20*h**3 + 36*h**2 - 4852. Let u(r) = 0. What is r?
-6, -2, 0, 3
Let t(c) be the third derivative of c**6/40 - c**5/60 - 23*c**4/24 + 7*c**3/2 + 3*c**2 + 230*c. Factor t(x).
(x - 1)*(x + 3)*(3*x - 7)
Let o = -17239/10 + 1724. Suppose -4*a = 2*t - 6, 5*t + 1 = 2*a + 16. Solve -o*h**2 + a - 1/10*h = 0.
-1, 0
Let r(h) be the second derivative of -7*h**6/15 - 4*h**5 + 319*h**4/2 + 2178*h**3 - 1944*h**2 - 29*h + 5. Determine n, given that r(n) = 0.
-9, 2/7, 12
Let k(w) = -14*w**4 - 47*w**3 + 501*w**2 - 1492*w + 1375. Let b(d) = 3*d**4 + d**3 - 8*d + 1. Let x(j) = -5*b(j) - k(j). Determine s so that x(s) = 0.
2, 15, 23
Let d = 24 + -20. Suppose p = 4*k - d - 6, -2*k = -2*p - 8. Factor -9*y - 3*y**3 + 9*y**3 + y**3 - 4*y**3 - 6*y**k.
3*y*(y - 3)*(y + 1)
Let p = 59/6 + -365/42. Let c be 7/(-35) - 18*3/(-70). Solve c*f**4 + 8/7*f**3 - p*f**2 + 4/7 - 4/7*f**5 - 4/7*f = 0.
-1, 1
Let h = 2407 - 2523. Let o = h - -120. Find n such that 0 + 16/13*n - 24/13*n**2 - 2/13*n**o + 12/13*n**3 = 0.
0, 2
Let t = 204 - 200. Factor -153*i**5 - 2*i**2 - 306*i**t - 18*i**2 + 281*i**4 + 80*i**3 + 28*i**5.
-5*i**2*(i + 1)*(5*i - 2)**2
Let z = -354 - -354. Suppose z = 2*q - 3*q + 2*q. Factor -1/6*h**4 + 1/3*h**3 + 0*h + q