z*l + 20. Factor 2/5*a**3 + 0 + 2/5*a - 4/5*a**l.
2*a*(a - 1)**2/5
Let b(p) be the second derivative of 1/28*p**4 + 0 - 5/2*p**2 + 17*p - 1/210*p**5 - 2/21*p**3. Let c(q) be the first derivative of b(q). Factor c(x).
-2*(x - 2)*(x - 1)/7
Let h(m) be the third derivative of -m**8/2352 - 11*m**7/735 + m**6/35 + 11*m**5/210 - 23*m**4/168 + 2*m**2 - 2716. Solve h(g) = 0.
-23, -1, 0, 1
Let l(k) be the first derivative of -k**7/3780 - 2*k**6/135 - 23*k**5/540 - 36*k**3 - 29. Let a(d) be the third derivative of l(d). Let a(o) = 0. What is o?
-23, -1, 0
Let w(j) be the third derivative of 0 + 2*j - 1/420*j**6 + 1/105*j**5 + 1/21*j**4 + 21*j**2 - 8/21*j**3. Factor w(v).
-2*(v - 2)**2*(v + 2)/7
Suppose 0 = -n + 2*w - 0*w + 1, 4 = 2*w. Suppose i + 0*i + 5*l - 14 = 0, -4*i - l + 37 = 0. Factor -2*z**3 + 0*z + i*z**2 + 4*z - n*z**2 - 2*z**2.
-2*z*(z - 2)*(z + 1)
Let k = -1299 + 1308. Let g(n) be the first derivative of -2/15*n**5 + 0*n + 0*n**3 + 1/12*n**4 - 1/6*n**6 + 0*n**2 - k. Factor g(x).
-x**3*(x + 1)*(3*x - 1)/3
Let n(w) be the third derivative of w**8/1344 + w**7/56 + 47*w**6/480 + 11*w**5/80 + 1938*w**2. Determine t so that n(t) = 0.
-11, -3, -1, 0
Let o(p) be the first derivative of p**3/6 - 23*p**2 + 90*p + 4830. Suppose o(k) = 0. Calculate k.
2, 90
Determine v so that 3*v**4 - 6*v**4 - 7*v**2 - 2*v - 9*v**3 - 8*v**2 - 5*v + 2*v**4 = 0.
-7, -1, 0
Let k be (-1 + -51285)*270/1215. Let w = k + 11408. Determine c so that 4/9 + 44/9*c + w*c**3 + 140/9*c**2 = 0.
-1, -1/5
Suppose -1052/9*s**4 - 20/3 + 752/9*s + 112/9*s**5 - 2728/9*s**2 + 992/3*s**3 = 0. What is s?
1/7, 1/4, 1, 3, 5
Let u(o) = -2*o**2 + 135*o + 1821. Let q be u(79). Let b(j) be the second derivative of 0 + 1/4*j**5 + 20*j**2 + 10*j**3 + 5/2*j**q - 26*j. Factor b(s).
5*(s + 2)**3
Suppose 7*n - 1008 = -182. Let b = 122 - n. Let 1/6*c**b - 4/3*c + 1/3*c**3 - 2/3 - 1/2*c**2 = 0. Calculate c.
-2, -1, 2
Let a(k) be the second derivative of k**7/105 - k**6/15 - 7*k**5/25 - k**4/15 + 13*k**3/15 + 7*k**2/5 + 72*k + 8. Factor a(h).
2*(h - 7)*(h - 1)*(h + 1)**3/5
Let f(y) be the third derivative of -y**5/360 - 11*y**4/144 + 38*y**3/9 - 5*y**2 - 22*y + 6. Find x, given that f(x) = 0.
-19, 8
Let d be 4/(0/5 + -1). Let q(i) = -i**3 - 8*i**2 - 17*i - 2. Let z be q(d). Factor -2*l**2 + 2/3*l**3 + z - 2/3*l.
2*(l - 3)*(l - 1)*(l + 1)/3
Let y(x) be the second derivative of -x**6/20 - 1029*x**5/40 + 519*x**4/4 + 169*x + 18. Factor y(j).
-3*j**2*(j - 3)*(j + 346)/2
Let t(r) be the third derivative of 0*r**3 + 0*r**5 + 0 - 1/105*r**7 - 298*r**2 - 1/20*r**6 + 0*r**4 + 0*r. Factor t(p).
-2*p**3*(p + 3)
Let d(n) = 13*n**4 + 345*n**3 - 1094*n**2 + 420*n + 872. Let t(z) = 2*z**4 + z**3 - z. Let x(g) = -d(g) + 8*t(g). Let x(w) = 0. What is w?
-2/3, 2, 109
Let t(y) be the first derivative of 4*y**5/15 - 78*y**4 - 1264*y**3/3 - 1904*y**2/3 - 6135. Factor t(s).
4*s*(s - 238)*(s + 2)**2/3
Let y(o) be the third derivative of -o**7/1365 + o**6/65 - 9*o**5/65 + 9*o**4/13 - 27*o**3/13 - 11*o**2 + 87*o. Find x, given that y(x) = 0.
3
Let p(l) = -2*l**3 - 32*l**2 + l + 100. Let y(o) = -o**3 - 31*o**2 - 2*o + 100. Let r(w) = 6*p(w) - 7*y(w). Factor r(i).
-5*(i - 5)*(i - 2)*(i + 2)
Let g(m) be the second derivative of -4*m**7/21 - 22*m**6/5 + 98*m**5/5 + 49*m**4/3 - 104*m**3 - 152*m**2 + 56*m + 16. Let g(t) = 0. What is t?
-19, -1, -1/2, 2
Factor 3*g**5 + 2*g**2 - 4*g**2 + 6*g**5 - 11*g**3 - 12*g**4 + g**2 - g**2.
g**2*(g - 2)*(3*g + 1)**2
Let t(g) be the first derivative of -4225*g**5/3 + 25025*g**4/6 - 1705*g**3 - 254*g**2/3 - 4*g/3 - 6790. Solve t(a) = 0 for a.
-1/65, 2/5, 2
Let y(n) = -139*n - 692. Let v be y(-5). Let s(h) be the second derivative of 9*h + 0*h**2 + 3/10*h**5 + 7/6*h**4 + 0 + 2/3*h**v. Suppose s(g) = 0. Calculate g.
-2, -1/3, 0
Let k(t) = -14*t - 3. Let o(n) = -12*n**2 + 8334*n - 5415. Let c(g) = -11*k(g) - o(g). What is b in c(b) = 0?
2/3, 681
Suppose -33*o + 34*o = 119. Let i = o + -115. Suppose 3*f + 4*f**3 + i + f - 10*f - 2*f**3 = 0. What is f?
-2, 1
Factor 2/11*t**2 - 60/11*t + 378/11.
2*(t - 21)*(t - 9)/11
Let j(l) be the third derivative of -l**5/30 - 2*l**4/3 + 16*l**3 + 1791*l**2 + l. Determine h, given that j(h) = 0.
-12, 4
Factor 103*p**2 - 268*p**2 - 1053 + 11*p + 79*p + 168*p**2.
3*(p - 9)*(p + 39)
Let t be (((-4830)/225)/46)/((-18)/6*3/27). Suppose 6/5 + 13/5*f**3 + 3/5*f**4 + t*f - 29/5*f**2 = 0. What is f?
-6, -1/3, 1
Suppose 7*x - 102 = -5*k - 36, 0 = -4*x + 2*k - 6. Factor 0 + 1/2*c**4 + 0*c**x + 0*c + 0*c**2.
c**4/2
Find j, given that -3/2*j**4 + 12*j**3 + 243*j + 513/2*j**2 + 0 = 0.
-9, -1, 0, 18
Let i(u) be the first derivative of u**5 - 5*u**4 - 10*u**3 + 90*u**2 - 135*u - 2358. Determine n, given that i(n) = 0.
-3, 1, 3
Let 301*u - 24*u**2 + 74*u - 91*u**2 + 55*u**4 + 31*u**3 - 15*u**2 - 5*u**5 - 161*u**3 + 315 = 0. Calculate u.
-1, 3, 7
Let j(n) be the second derivative of 2/5*n**5 - 16/3*n**3 - 14 + n - 7/3*n**4 + 2/15*n**6 + 24*n**2. Find i such that j(i) = 0.
-3, -2, 1, 2
Factor -68912/3*g - 5/3*g**3 + 13924 - 1177/3*g**2.
-(g + 118)**2*(5*g - 3)/3
Let u(s) be the first derivative of s**3/24 + 43*s**2/8 + 1849*s/8 + 1896. Factor u(d).
(d + 43)**2/8
Let a be (1/(-18))/(4/(-24)). Let z(p) be the third derivative of 0 + 0*p - 1/3*p**4 - 10*p**2 - 2*p**3 + a*p**5. Let z(x) = 0. What is x?
-3/5, 1
Let p(k) = 2*k**3 + 18*k**2 + 14*k + 17. Let t be p(-8). Find u, given that u**4 + 61*u - 32*u**3 - 5*u**4 + 6*u + 61*u - 51 - 8*u**2 - t = 0.
-7, -3, 1
Let p be (179 + 6)*(-7)/((-175)/(-4)). Let j = -291/10 - p. Let -1/4 + j*u - 1/4*u**2 = 0. What is u?
1
Let y(o) be the first derivative of o**5/360 + 7*o**4/72 + 49*o**3/36 + 155*o**2/2 - 101. Let b(m) be the second derivative of y(m). Factor b(q).
(q + 7)**2/6
Let a be -3*138/(-63) + 6/14. Let v(r) be the third derivative of 0 + 0*r**4 - a*r**2 + 0*r + 1/12*r**5 + 0*r**3. Factor v(t).
5*t**2
Let g be 10/(-60) - 121/(-6). Let i be g/15*3/2. Factor 662*x - i*x**4 - 662*x + 4*x**3.
-2*x**3*(x - 2)
Suppose 255 = 324*g - 239*g. Let b(u) be the first derivative of 3/4*u**4 - g*u**3 - 26 + 12*u + 0*u**2. Solve b(s) = 0.
-1, 2
Suppose 23*u + 6*u = 116. What is b in -10*b**3 + 13*b + 20*b**2 + 162*b**4 - 167*b**u + 27*b = 0?
-2, 0, 2
Let a(h) be the second derivative of -1/36*h**4 - 1/10*h**5 - 8/3*h**2 - 1/90*h**6 + 4/3*h**3 + 26*h - 2. Suppose a(t) = 0. What is t?
-4, 1
Let p(k) = 8*k**3 + 320*k**2 + 8*k + 20. Let i be p(-40). Let s be i/350*(-28)/18. Factor 64/3*m**2 - 32/3*m + s.
4*(4*m - 1)**2/3
Let k = 631163 - 5680465/9. Solve 8/9*c + 2/9*c**2 - k*c**3 - 8/9 = 0 for c.
-2, 1, 2
Suppose 15898*f = 15888*f. Let o(s) be the first derivative of 1 - 1/2*s**3 - 1/4*s**6 + 3/8*s**4 + 0*s**2 + 3/10*s**5 + f*s. Factor o(a).
-3*a**2*(a - 1)**2*(a + 1)/2
Let q = -8962 + 9000. Let v(d) be the first derivative of 0*d + 0*d**3 + q + 3/16*d**4 + 0*d**2. Determine z so that v(z) = 0.
0
Let q = -416 - -1250/3. Let v be 14/4 + -2*(2 + -1). Determine h, given that -q*h**3 - h - v*h**2 - 1/6 = 0.
-1, -1/4
Let m(f) be the second derivative of 2*f**7/105 + 3*f**6/10 - 153*f**5/100 - 677*f**4/60 + 571*f**3/10 + 234*f**2/5 - f - 54. What is j in m(j) = 0?
-13, -4, -1/4, 3
Let j = -106 - -108. Suppose -8 + 10*w - 12*w**2 - 2*w**j + 14*w**2 - 2*w**2 = 0. What is w?
1, 4
Let q(u) be the first derivative of -u**5 + 185*u**4/4 + 5*u**3 - 545*u**2/2 - 370*u - 631. Let q(k) = 0. What is k?
-1, 2, 37
Let n = -19 + 5. Let m be (12/n)/(22/(-22)). Factor m*s**3 - 3/7*s - 3/7*s**5 + 6/7*s**2 - 3/7*s**4 - 3/7.
-3*(s - 1)**2*(s + 1)**3/7
Let p(b) be the third derivative of -b**6/720 + 11*b**5/360 - b**4/6 + 234*b**2 + 1. Factor p(k).
-k*(k - 8)*(k - 3)/6
Let t = 704 + -702. Suppose -80/7*l**3 + 32/7*l**4 - 72/7 + 12*l - 4/7*l**5 + 40/7*l**t = 0. Calculate l.
-1, 1, 2, 3
Let b be (2954/182)/(-2*(-1)/200). Let u = b + -1622. Factor -u*w**2 + 0 - 2/13*w**3 - 12/13*w.
-2*w*(w + 1)*(w + 6)/13
Let k be ((-6)/(-9))/((-16)/(-24))*-273. Let h be k/(-1014)*(-2)/(-21)*6. Suppose -6/13*f**2 + h*f**3 + 0 + 4/13*f = 0. What is f?
0, 1, 2
Let q be -9 + -10 + 13 + 8. Let h be 0 - -2 - 30*-6. Factor -5*p**q + h - 131 - 456 + 90*p.
-5*(p - 9)**2
Let t(c) = 7*c + 16. Let n(f) = 2*f**3 + 15*f**2 - 15*f - 58. Let z be n(-8). Let h be t(z). Factor 2/7*d**h + 2/7*d - 4/7.
2*(d - 1)*(d + 2)/7
Let