*h**w + 24/7*h**4 - 108/7*h**3 - 162/7*h + 0 = 0. Calculate h.
0, 3
Let c(a) be the third derivative of 0*a + 1/450*a**5 - 1/900*a**6 + 1/36*a**4 + 3*a**2 + 1/15*a**3 + 6. Suppose c(t) = 0. Calculate t.
-1, 3
Let d = -17411/7839 - 1/871. Let k = -242/117 - d. Let k*n**3 + 28/13*n**2 + 144/13 + 120/13*n = 0. What is n?
-6, -2
Find g, given that -40/3 - 1/3*g**3 + 12*g - 2*g**2 = 0.
-10, 2
Let m = 108181 + -108179. Find v such that 0 + 52/9*v**m + 8/9*v = 0.
-2/13, 0
Let v(o) be the third derivative of o**6/900 + 11*o**5/90 + 103*o**4/180 - 53*o**3/15 + 3*o**2 - 454*o. Factor v(k).
2*(k - 1)*(k + 3)*(k + 53)/15
Let r be 50/(-1825) + 16192/4818. Find p, given that 101/2*p**2 - 5 - 43/6*p - r*p**3 = 0.
-1/4, 2/5, 15
Suppose 0 = 44*f + 39 + 93. Let q be 0*(5 + -8)/f*-1. Suppose -1/5*j**2 + q + 2/5*j = 0. What is j?
0, 2
Let x be ((-30)/(-12) - 2) + (-24)/176*-11. Factor -2/3*k**x - 2 - 8/3*k.
-2*(k + 1)*(k + 3)/3
Let l be (-13 + (29 - 18))/((546/(-48))/7). Solve -8/13*x - 10/13*x**5 + 0 - l*x**4 + 18/13*x**3 + 16/13*x**2 = 0 for x.
-2, -1, 0, 2/5, 1
Let h(p) be the third derivative of p**7/70 + 11*p**6/40 + 23*p**5/20 - 11*p**4/8 - 12*p**3 + 6096*p**2. Let h(n) = 0. What is n?
-8, -3, -1, 1
Suppose -b + 21 + 2 = 0. Let l = 28 - b. Let 2*m**2 + m - 3*m**2 - 9*m + l*m**2 = 0. What is m?
0, 2
Let m(y) be the first derivative of -9 + 0*y**3 - 1/4*y**5 + 0*y**2 - 5/12*y**4 - 26*y. Let f(t) be the first derivative of m(t). Factor f(d).
-5*d**2*(d + 1)
Suppose -3*i - s = 2 - 5, 1 = -i - s. Suppose -2*t - 11 = -7*t - 3*n, 0 = 5*t - n - 23. Factor -30*p + i*p**2 - 5*p**2 + t + 30*p - p**3.
-(p - 1)*(p + 2)**2
What is l in 635*l**2 + 10 + 30*l**2 + 2444*l - 1109*l = 0?
-2, -1/133
Let x be 2/(-7)*14/(1 - 2). Solve 2*y**5 - 5*y**5 - 212*y**x + 217*y**4 + 2*y**3 - 4*y**2 + 4*y**2 = 0 for y.
-1/3, 0, 2
Let n(k) = -k**4 + k**3 + 3*k**2 - k. Let p(d) = -11*d**4 - 139*d**3 + 950*d**2 - 1346*d. Let t(f) = -4*n(f) + 2*p(f). Let t(o) = 0. What is o?
-21, 0, 8/3
Suppose -90*m + 80 = -85*m + 5*g, -6 = 2*g. Let o(n) be the third derivative of 3/100*n**5 + 0 + 0*n**3 + 1/60*n**4 + 7/600*n**6 + m*n**2 + 0*n. Factor o(s).
s*(s + 1)*(7*s + 2)/5
Let q(t) = t**3 - 33*t**2 + 36*t + 12. Let n be q(33). Suppose 4*l**2 + 26*l + 41*l + n + 53*l - l**2 = 0. Calculate l.
-20
Let i(r) be the first derivative of -127 + 961/9*r**3 + 0*r - 31/6*r**4 + 0*r**2 + 1/15*r**5. Factor i(t).
t**2*(t - 31)**2/3
Let -238*i**2 - 187*i**2 + 5*i**3 - 30*i - 400*i - 1 + 1 = 0. What is i?
-1, 0, 86
Find f such that -29/10*f - 1/10*f**2 + 3 = 0.
-30, 1
Factor -5*s**3 - 10*s**3 + 645*s**4 - 36 - 15*s**2 - 48*s**2 - 320*s**4 - 85*s - 326*s**4.
-(s + 1)**2*(s + 4)*(s + 9)
Let r(y) = y**2 - 9*y + 13. Let m be r(9). Suppose -m = -o - 9. Determine a, given that -2*a**2 + o*a**3 - 4 - 2*a**4 + 4 - 8*a**3 = 0.
-1, 0
Let f(j) be the second derivative of j**6/360 + j**5/90 - 15*j**2/2 + 43*j. Let h(m) be the first derivative of f(m). Factor h(y).
y**2*(y + 2)/3
Let s(f) be the second derivative of 55*f**4/36 - 163*f**3/18 - f**2 + 4*f - 274. Determine j so that s(j) = 0.
-2/55, 3
Let o(i) = 2*i - 1. Let m be o(3). Suppose 4*b - 16 = -2*v, v + m*b - 18 = -v. Factor 6*x**4 - 4*x**4 - 7*x**3 - 70*x + 25 - 3*x**3 - 7*x**v + 60*x**2.
-5*(x - 1)**3*(x + 5)
Let n = 676524571/55520 + -389965/32. Let q = 12/347 - n. Factor 6*l**2 - 29/5*l - 7/5*l**3 + q.
-(l - 3)*(l - 1)*(7*l - 2)/5
Let l be ((-29)/8 + 4)/((-117)/(-52)). Let r(p) be the second derivative of 5/42*p**7 + 16*p + 0*p**2 - 5/12*p**4 + 0 - 1/4*p**5 + 0*p**3 + l*p**6. Factor r(k).
5*k**2*(k - 1)*(k + 1)**2
Let m(t) = 622 + 43 - 915*t + 55*t**2 + 276 + 19. Let i(v) = -9*v**2 + 153*v - 160. Let w(j) = -25*i(j) - 4*m(j). Find o, given that w(o) = 0.
1, 32
Let o(p) be the third derivative of 71/105*p**5 + 200/21*p**3 + 185/21*p**4 - 37*p**2 + 1/60*p**6 + 0*p + 0. Factor o(d).
2*(d + 10)**2*(7*d + 2)/7
Find z such that -1/2*z**3 + 7*z + 13/2*z**2 + 0 = 0.
-1, 0, 14
Suppose 2*z - 8*z = -42. Let t(j) = -4*j**2 - 198*j - 2123. Let v(w) = -2*w**2 - 98*w - 1061. Let i(s) = z*v(s) - 3*t(s). Factor i(h).
-2*(h + 23)**2
Let a = 3/4295 + 4268/38655. Let k(y) be the first derivative of 13 - a*y**3 - 5/6*y**2 - 2*y. What is r in k(r) = 0?
-3, -2
Let w(j) be the first derivative of 23*j**4/12 + 803*j**3/9 - 449*j**2/3 + 24*j + 2110. What is b in w(b) = 0?
-36, 2/23, 1
Let f(s) be the first derivative of s**5/25 + 3*s**4/5 - 28*s**3/15 + 1338. Factor f(u).
u**2*(u - 2)*(u + 14)/5
Let k(u) = -u**2 + 12*u - 29. Let s be k(4). Suppose -2 = -2*b - 4*j, s*b - 13 = 6*j - 2*j. Determine n so that 0 - 2/5*n + 4/5*n**b - 2/5*n**2 = 0.
-1/2, 0, 1
Let x(w) = -132*w**3 - 790*w**2 + 10*w - 8. Let f be x(-6). Factor -2/3*h**3 - h**2 + 1/3*h**f + 4/3 + 4/3*h.
(h - 2)**2*(h + 1)**2/3
Suppose 831 = -20*y + 871. Let u(s) be the third derivative of 0*s - 1/720*s**6 + 0 + 0*s**3 + 33*s**y + 1/120*s**5 - 1/72*s**4. Let u(o) = 0. Calculate o.
0, 1, 2
Let p be (-63)/((-6)/(-2)) + (2 - 2). Let o = -16 - p. Determine u, given that o + u**2 - 36*u - 47*u - 20*u**3 + 103*u - 6*u**2 = 0.
-1, -1/4, 1
Let 122/9*d**2 - 2/9*d**3 - 464/9*d + 152/3 = 0. What is d?
2, 57
Let y = -336842 + 673687/2. What is p in -2*p**3 + 0 + 0*p**2 + 0*p - y*p**4 - 1/4*p**5 = 0?
-4, -2, 0
Let s = -11 + 32. Suppose -11 = -4*b + s. Determine l, given that -2*l**2 - 5 - 6*l + 5 + b = 0.
-4, 1
Let g = 1114/1545 - 28/515. Let k(w) be the third derivative of -1/105*w**7 + 1/12*w**6 - 3/10*w**5 + 7*w**2 + 0 + 7/12*w**4 - g*w**3 + 0*w. Factor k(c).
-2*(c - 2)*(c - 1)**3
Suppose 5*m = -2*i + 462, -68*i + 70*i + 3*m - 470 = 0. Let x be 28/8 - 1/(-2). Factor -i*j**2 + 204*j**2 - j**5 + 13*j**x + 149*j**2 - 60*j**3 - 64*j.
-j*(j - 4)**3*(j - 1)
Let q be (5 - (5 - 1)) + 5. Let d(a) = -9*a**2 + 3*a + 6. Let z(n) = 8*n**2 - 3*n - 6. Let b(p) = q*z(p) + 5*d(p). Suppose b(u) = 0. Calculate u.
-1, 2
Let w = 44855 + -44852. Let r(p) be the second derivative of 1/45*p**5 - 1/54*p**4 - 1/135*p**6 + 9 - 3*p + 0*p**2 + 0*p**w. Determine j, given that r(j) = 0.
0, 1
Let z be (-6)/18*1*-141. Let l be 1/(-7) - z/(-329). Solve l + c**2 + 0*c + 1/2*c**3 = 0 for c.
-2, 0
Let w(r) be the second derivative of r**4/4 + 176*r**3 - 1059*r**2/2 - 7115*r. Factor w(k).
3*(k - 1)*(k + 353)
Let z(g) be the second derivative of -21*g - 1/90*g**5 + 10*g**2 + 0*g**4 + 0*g**3 + 1/180*g**6 + 0. Let j(o) be the first derivative of z(o). Factor j(a).
2*a**2*(a - 1)/3
Let u(b) = -15*b**3 + 37*b**2 + b + 132. Let l(j) = -2*j**3 + 7*j**2. Let o(f) = -21*l(f) + 3*u(f). Suppose o(h) = 0. Calculate h.
-11, -4, 3
Let c(h) = -6*h**3 + 2*h**2 - 16*h + 2. Let w(o) = o**3 + 4*o - 2. Let m(p) = -c(p) - 5*w(p). Factor m(q).
(q - 2)**2*(q + 2)
Let w(s) be the second derivative of 40*s - 1/22*s**4 - 2 - 41/33*s**3 + 14/11*s**2. Solve w(b) = 0.
-14, 1/3
Let f(h) = -9*h**2 - 13*h - 216. Let u(y) = -1. Let q(g) = -f(g) - 2*u(g). Let t(z) = 7*z**2 + 14*z + 219. Let s(b) = -6*q(b) + 7*t(b). Factor s(j).
-5*(j - 9)*(j + 5)
Let f(y) be the third derivative of y**5/100 - 831*y**4/20 + 690561*y**3/10 + y**2 + 261. Factor f(d).
3*(d - 831)**2/5
Let j(s) be the first derivative of s**6/3 - 2*s**5/5 - 3*s**4/2 + 2*s**3/3 + 2*s**2 - 734. Factor j(p).
2*p*(p - 2)*(p - 1)*(p + 1)**2
Let n(b) = -16*b**3 - 6264*b**2 + 232*b + 25168. Let h(g) = 3*g**3 + 1139*g**2 - 42*g - 4576. Let j(y) = -28*h(y) - 5*n(y). Find p, given that j(p) = 0.
-143, -2, 2
Let t(p) be the second derivative of p**6/105 + 5*p**5/14 + 187*p**4/42 + 121*p**3/7 + 123*p - 2. Factor t(d).
2*d*(d + 3)*(d + 11)**2/7
Let f(y) be the first derivative of y**4/9 + 908*y**3/9 + 103058*y**2/3 + 46788332*y/9 + 701. Factor f(l).
4*(l + 227)**3/9
Let r be 14 + -10*(-102)/(-85). Let a(b) be the first derivative of -4/15*b**3 - 1 + 6/5*b**r + 16/5*b. Factor a(h).
-4*(h - 4)*(h + 1)/5
Let m be ((-6)/45 - 0) + 928/660. Suppose 2*k - 40 = -o - 31, 0 = -k + 3*o - 13. Suppose 10/11*f**k - m*f + 4/11 = 0. Calculate f.
2/5, 1
Let t = -143/12 - -161/12. Find f such that 3/4*f + 3/4*f**2 - t = 0.
-2, 1
Let n = 314 - 311. Find c, given that -5*c - 2 + n - 3 + 0*c**2 - c**2 - 2 = 0.
-4, -1
Suppose -45*u - 44*u = -34*u. Let n(p) be the second derivative of -3/140*p**5 + u + 9/7*p**2 + 1/7*p**4 + 29*p + 11/14*p**3. Factor n(g).
-3*(g - 6)*(g + 1)**2/7
Let -53 -