+ 18/7 - h*y = 0. Calculate y.
-3, 1
Let i = -26 + 54. Suppose -278 + i*s - 16*s**2 + 302 + 4*s**2 = 0. Calculate s.
-2/3, 3
Factor -1/5*b**2 + 62*b - 309/5.
-(b - 309)*(b - 1)/5
Let j(m) be the third derivative of m**6/660 + 2*m**5/33 - 131*m**4/132 - 50*m**3/11 + 6*m**2 - 93. Factor j(g).
2*(g - 6)*(g + 1)*(g + 25)/11
Let z(r) be the third derivative of 0*r - 1/160*r**6 - 1/4*r**4 + 3/40*r**5 - 1 + 0*r**3 + 28*r**2. Solve z(f) = 0.
0, 2, 4
Let h(m) = -m**3 - 8*m**2 + 38*m - 240. Let n(d) = d + 32. Let s(i) = -h(i) - 6*n(i). Factor s(z).
(z - 2)**2*(z + 12)
Let g(h) be the first derivative of -4*h**3/3 - 760*h**2 - 1541. Let g(j) = 0. Calculate j.
-380, 0
Let a be 231/(-297) - 3410/(-2232). Factor -45/4*t**2 - 9/4*t**3 - 9/2 + a*t**4 - 51/4*t.
3*(t - 6)*(t + 1)**3/4
Let r = 2427/3052 + -75/109. Let l(v) be the first derivative of -9 - 3/14*v**2 + 0*v**3 + 0*v + r*v**4. Find c such that l(c) = 0.
-1, 0, 1
Let u = 382 + -379. Determine c so that 115*c**3 - 36*c**u - 31*c**3 - 2*c**5 - 35*c**3 - 25*c**3 + 10*c**4 = 0.
0, 2, 3
Let a be 15/54*(3/12)/((-130)/(-416)). Let a*b**3 + 0 - 2/9*b**2 - 2/9*b + 2/9*b**4 = 0. Calculate b.
-1, 0, 1
Let n = 44/91 - -596/273. Let i(w) be the second derivative of -1/60*w**5 + 6*w**2 - n*w**3 + 13/36*w**4 - 35*w + 0. Factor i(t).
-(t - 6)**2*(t - 1)/3
Let j(c) be the third derivative of c**5/40 - 79*c**4/8 + 78*c**3 - 2467*c**2. Suppose j(d) = 0. What is d?
2, 156
Let z(h) be the first derivative of -324*h**5/5 + 23616*h**4 - 6864352*h**3/3 - 1532416*h**2 - 341056*h - 4593. Factor z(n).
-4*(n - 146)**2*(9*n + 2)**2
Let j(k) be the first derivative of k**4/8 - 211*k**2/4 - 105*k - 4891. Factor j(c).
(c - 15)*(c + 1)*(c + 14)/2
Let g(q) be the third derivative of 4330747*q**6/780 - 53138*q**5/65 + 652*q**4/13 - 64*q**3/39 + 1592*q**2. Factor g(r).
2*(163*r - 4)**3/13
Solve -322403/3*d**2 + 802/3*d**3 - 213867/2 + 214134*d - 1/6*d**4 = 0.
1, 801
What is c in 107/2*c**2 - 25/2*c**3 + 1/2*c**4 - 143/2*c + 30 = 0?
1, 3, 20
Let w(o) be the second derivative of 25/18*o**3 - 2*o - 1/4*o**5 + 7 + 5/3*o**2 - 5/9*o**4. Suppose w(j) = 0. Calculate j.
-2, -1/3, 1
Suppose 3*k - 327 = -4*x, 0*k = -2*k + 2*x + 204. Let c be k/(-30) - (-380)/104. Factor -8/13 - c*m**2 + 10/13*m.
-2*(m - 4)*(m - 1)/13
Let q(x) be the second derivative of x**7/12600 - x**6/1800 + 5*x**4/12 + 7*x**3/6 - 41*x - 1. Let w(s) be the third derivative of q(s). Factor w(i).
i*(i - 2)/5
Let k(u) be the second derivative of 33/2*u**2 - 1/240*u**6 + 0 + 30*u + 0*u**4 - 1/24*u**3 + 1/80*u**5. Let g(a) be the first derivative of k(a). Factor g(t).
-(t - 1)**2*(2*t + 1)/4
Determine o, given that 1/2*o**2 + 645/2*o + 643 = 0.
-643, -2
Let c(o) be the second derivative of -o**8/2800 + o**6/600 - 2*o**3/3 + o**2 - 42*o. Let b(q) be the second derivative of c(q). Factor b(u).
-3*u**2*(u - 1)*(u + 1)/5
Let p(z) be the first derivative of -26/5*z**4 - 2*z - 44/5*z**3 - 16/25*z**5 - 31/5*z**2 + 78. Determine x, given that p(x) = 0.
-5, -1/2
Let i(o) be the second derivative of 5*o**4/12 - 105*o**3/2 + 450*o**2 + 2815*o. What is s in i(s) = 0?
3, 60
Suppose -65*r + 45*r = -6100. Factor -r*c**2 - 8*c**3 + 6*c**3 + 473*c**2 - 3528*c.
-2*c*(c - 42)**2
Let n be 3*(5/(-2) + 275/66). Let l(z) = 9*z**4 - 3*z**2. Let x(u) = -8*u**4 - u**3 + 4*u**2. Let d(k) = n*l(k) + 6*x(k). Find j, given that d(j) = 0.
-3, 0, 1
Let m(t) = t**2 + 26*t + 167. Let d be m(-11). Factor -13*c**2 + 11*c**2 - 14*c**2 - 8*c**d - 13*c**3 - 2*c**3.
-3*c**2*(5*c + 8)
Let v(f) be the third derivative of f**7/630 - 7*f**6/270 + 8*f**5/45 - 2*f**4/3 - 5*f**3/6 - 44*f**2. Let n(j) be the first derivative of v(j). Factor n(r).
4*(r - 3)*(r - 2)**2/3
Suppose -4162 + 4108 - 414*s**2 - 27690 - 2*s**3 + 2*s**3 - 3*s**3 - 14688*s = 0. What is s?
-68, -2
Suppose 26*q = 22*q + 6272. Find j, given that -q + j**2 + 1568 = 0.
0
Find i, given that -14/13*i**2 + 24/13 + 4/13*i**3 + 2/13*i**4 - 16/13*i = 0.
-3, -2, 1, 2
Let h(v) be the first derivative of 2*v**5/85 - 8*v**4/17 + 52*v**3/17 - 112*v**2/17 + 98*v/17 + 180. Factor h(w).
2*(w - 7)**2*(w - 1)**2/17
Let f(w) = -3*w**2 + 2*w + 1. Let g(p) = p**2 - p. Suppose 2*l + 3 = -5*y, -4*l - 5 = y + 10. Let i(c) = y*f(c) + 2*g(c). Solve i(a) = 0 for a.
-1, 1
Let d = 8/143 - -269/2860. Let s(p) be the second derivative of -6*p**2 - 4*p**3 - 5/4*p**4 + p + 0 - d*p**5. Determine r, given that s(r) = 0.
-2, -1
Let q = 339 + -689. Let v be ((-18)/21)/(150/q). Suppose 2/13*m - 2/13*m**v - 2/13*m**3 + 2/13 = 0. What is m?
-1, 1
Let j(p) be the third derivative of p**10/20160 - p**9/10080 - p**8/2240 - p**4/12 - p**3/3 + 27*p**2. Let a(h) be the second derivative of j(h). Factor a(v).
3*v**3*(v - 2)*(v + 1)/2
Let n = -415387/2 + 830807/4. Factor -9/2 - 3/4*d**3 + n*d - 3*d**2.
-3*(d - 1)**2*(d + 6)/4
Suppose -150 = -17*t + 12*t. Let i = t - 15. Solve -87*r + 50*r - r**3 - i*r**2 - 125 - 38*r = 0.
-5
Let p(b) be the first derivative of -12*b**5/5 + 213*b**4/2 + 879*b**3/4 + 249*b**2/2 + 111*b/4 - 936. Find i, given that p(i) = 0.
-1, -1/4, 37
Let x(r) be the first derivative of r**6/2 - 21*r**5 + 387*r**4/2 - 640*r**3 + 624*r**2 - 5997. Determine v, given that x(v) = 0.
0, 1, 4, 26
Let l = 33657 + -33653. Let y(p) be the second derivative of 0 + 1/3*p**3 - 1/84*p**l - 43*p - 7/2*p**2. Factor y(c).
-(c - 7)**2/7
Let x be 165/9 - (-1 - 28/(-12)). Let p be (x/459)/(2/6). Factor -1/9*k**3 + 1/9*k**4 - 1/9*k**2 + 0*k + 0 + p*k**5.
k**2*(k - 1)*(k + 1)**2/9
Suppose 0 = n + 38 + 2. Let k be (-14)/40 - 30/n. Solve 2/5*u + k*u**2 - 12/5 = 0 for u.
-3, 2
Let y(o) = 9*o**3 + 12*o**2 - 375*o + 1246. Let r(b) = -80*b**3 - 105*b**2 + 3375*b - 11215. Let q(i) = -4*r(i) - 35*y(i). Factor q(w).
5*(w - 5)**2*(w + 10)
Let x(c) = -c**3 - 8*c**2 - 30*c - 106. Suppose 612 = -9*l + 558. Let v be x(l). Factor 0 - 3/5*z**5 + 0*z**3 + 3/5*z + 6/5*z**4 - 6/5*z**v.
-3*z*(z - 1)**3*(z + 1)/5
Let z be ((-34)/(-120) + (1219/(-276))/53)*3. Factor 0*f - 3/5*f**2 + 3/5*f**5 + 0 - 3/5*f**3 + z*f**4.
3*f**2*(f - 1)*(f + 1)**2/5
Factor 22 - 89/4*o**3 + 89/4*o - 1/4*o**4 - 87/4*o**2.
-(o - 1)*(o + 1)**2*(o + 88)/4
Let g(q) be the second derivative of q**8/1008 + 2*q**7/315 - 11*q**6/540 - q**5/15 + 25*q**4/6 - 9*q. Let j(i) be the third derivative of g(i). Factor j(c).
4*(c - 1)*(c + 3)*(5*c + 2)/3
Suppose -2*q = -0*q + 102. Let v be (q/(-34))/(35/4 - -1). Solve 4/13*j - 16/13 + v*j**2 = 0.
-4, 2
Find t, given that -712 + 155 - 13 - 2*t**3 - 638*t - 48*t**2 + 3*t**2 - 25*t**2 = 0.
-19, -15, -1
Let p = -66 - -1102. Suppose -4 = -p*t + 1034*t. Factor 2/7*k**t + 4*k + 14.
2*(k + 7)**2/7
Let q(x) be the third derivative of -1/10*x**6 - 2/3*x**3 - 2/105*x**7 + 1/56*x**8 + 0 - 54*x**2 + 2/15*x**5 + 0*x + 1/4*x**4. Suppose q(g) = 0. What is g?
-1, 2/3, 1
Suppose -11 - 1 = a + 3*g, -5*g = 2*a + 22. Let s be ((0 - 0) + a)*5/(-2). Factor -5*w**4 - 8 - 5 + 10*w**2 + s - 7.
-5*(w - 1)**2*(w + 1)**2
Let o(k) be the third derivative of -3/10*k**5 + 0 + 9*k - 4/5*k**7 + 3/2*k**3 - 11/8*k**4 - 9*k**2 + 3/2*k**6. Factor o(h).
-3*(2*h - 1)**3*(7*h + 3)
Let b be (-5)/18*(-20)/(-900). Let l = b - -289/162. Let 0*r + 2/3*r**4 - 2*r**5 + l*r**3 - 8/9*r**2 + 0 = 0. What is r?
-1, 0, 2/3
Let g(j) be the third derivative of 0 + 8/21*j**3 - 4/105*j**5 - 61*j**2 + 1/420*j**6 - 1/84*j**4 + 0*j. Factor g(n).
2*(n - 8)*(n - 1)*(n + 1)/7
Let q = 835 + -831. Find n such that 0 + 10 + 8 - 1321*n - 2 - q*n**2 + 1309*n = 0.
-4, 1
Let k(s) = -4*s**2 + 464*s - 748. Let z(q) = 2*q**2 - 264*q + 374. Let l(g) = 5*k(g) + 9*z(g). Factor l(v).
-2*(v + 11)*(v + 17)
Let p(k) be the first derivative of -67 - 1/7*k**3 - 1/7*k**4 + 1/14*k**2 + 0*k. Let p(w) = 0. What is w?
-1, 0, 1/4
Let i(c) be the second derivative of 1/105*c**7 - 1/10*c**5 + 2*c - 4/5*c**2 + 1/6*c**4 + 4/15*c**3 - 1/75*c**6 - 76. Find t, given that i(t) = 0.
-2, -1, 1, 2
Let n(k) be the third derivative of 38*k**2 + 17/3*k**3 + 1/35*k**5 + 0*k + 1/2520*k**6 + 6/7*k**4 + 0. Let r(f) be the first derivative of n(f). Factor r(p).
(p + 12)**2/7
What is n in 25932*n**3 + 501*n - 78*n**2 - 714 + 25929*n**3 - 51858*n**3 = 0?
2, 7, 17
Let v(r) be the third derivative of r**5/240 - 27*r**4/16 + 79*r**3/3 + 1648*r**2. Suppose v(f) = 0. Calculate f.
4, 158
Let o(g) = 14*g + 132 + 58 + 21*g + 5*g + 12*g**