 10*h**3 + 10 + 85/2*h = 0 for h.
-1, -2/5, 4
Let o(c) = 11*c**4 + 42*c**3 + 5*c**2 + 5. Let v(n) = -6*n**4 - 21*n**3 - 3*n**2 - 3. Let s(u) = -3*o(u) - 5*v(u). Factor s(h).
-3*h**3*(h + 7)
Let d(n) = 121*n**2 + 2900*n - 88. Let h be d(-24). Determine v so that 56/9 - 4/9*v**3 - h*v + 10/3*v**2 = 0.
2, 7/2
Let z = -259 + 263. Factor -17576 - 38*h**4 + h**z - 31825*h**3 - 265070*h**2 - 1203*h**4 - 16*h**5 + 138580*h.
-(h + 26)**3*(4*h - 1)**2
Let q(x) be the second derivative of -x**5/80 - 211*x**4/12 - 178925*x**3/24 - 177241*x**2/4 - 1998*x. Find i such that q(i) = 0.
-421, -2
Let l be (65 - 546720/8512) + (3/(-14))/(-3). Factor -l*q + 30/19*q**2 - 12/19*q**3 + 0 - 2/19*q**4.
-2*q*(q - 1)**2*(q + 8)/19
Let b(q) be the first derivative of 41 - 8*q + 4/3*q**3 - 2*q**2. What is n in b(n) = 0?
-1, 2
Let u(g) be the first derivative of -g**4/12 - 19*g**3/6 + 10*g**2 + 184*g - 140. Let y(k) be the first derivative of u(k). Find t such that y(t) = 0.
-20, 1
Let l(w) be the third derivative of 109/40*w**6 + 0 + 0*w**3 + 0*w + 1/112*w**8 + 329*w**2 - 9/35*w**7 - 63/5*w**5 + 49/2*w**4. Factor l(u).
3*u*(u - 7)**2*(u - 2)**2
Let v(r) be the first derivative of -5*r**3/3 + 1395*r**2/2 + 4230*r + 3802. Find w, given that v(w) = 0.
-3, 282
Let x(p) = -p**3 + 4*p**2 - 4*p + 4. Let c = 201 - 199. Let n be x(c). Suppose 15/4*s**3 + 3*s**n + 3/2*s**2 + 0 + 3/4*s**5 + 0*s = 0. Calculate s.
-2, -1, 0
Suppose -63*u + 675 = 234. Let w(b) be the first derivative of 2*b - 1/4*b**4 - 1/5*b**5 + b**3 - u + 5/2*b**2. Suppose w(g) = 0. What is g?
-1, 2
Let h = -156595 + 156597. What is z in 0 + 1/7*z + 1/7*z**3 - 2/7*z**h = 0?
0, 1
Let b = -138/241 + 115445/5061. Let q = b + -65/3. Solve 0 - 2/7*m + 9/7*m**2 - q*m**3 = 0.
0, 1/4, 2
Let f = -415069 - -415069. Solve -25/3*s**2 + f + 5/3*s**5 + 25/3*s**3 - 10*s + 25/3*s**4 = 0.
-3, -2, -1, 0, 1
Let a(g) = g**3 + 5*g**2 + 5*g + 10. Let k be a(-4). Let h be 3/(-9) - -7*2/k. Let 45 + 8*r + r**2 + 2*r**h + 22*r + 2*r**2 = 0. Calculate r.
-3
Let a(g) = -57*g**2 - 38*g - 112. Let p be a(-3). Let k = 511 + p. Factor k*q + 4/3*q**3 + 0 + 4/3*q**2.
4*q**2*(q + 1)/3
Suppose 2*p = -5*q + p + 314, -3*q = 2*p - 194. Suppose 22*i - q + 18 = 0. Factor 6/5*r**i + 6/5*r + 2/5 + 2/5*r**3.
2*(r + 1)**3/5
Let x(q) be the first derivative of -25*q**2 - 647*q + 508. Let g be x(-13). Factor -4/5*u**2 + 0 + 4/5*u**g + 0*u + 4/5*u**4 - 4/5*u**5.
-4*u**2*(u - 1)**2*(u + 1)/5
Let g(z) be the second derivative of -23*z + 5*z**2 - 13/18*z**3 + 0 - 1/36*z**4. Suppose g(m) = 0. Calculate m.
-15, 2
Let c(s) = -22*s**3 + 244*s**2 - 352*s - 66. Let g(k) = 44*k**3 - 489*k**2 + 704*k + 131. Let b(l) = -13*c(l) - 6*g(l). Let b(h) = 0. What is h?
-2/11, 2, 9
Let a(b) be the third derivative of 9*b**5/34 - 133*b**4/204 - 2*b**3/51 + 2*b**2 + 1572*b. What is i in a(i) = 0?
-2/135, 1
Factor 4/3*i**2 - 224 - 68/3*i.
4*(i - 24)*(i + 7)/3
Let t = 226 + -210. Factor 59*s**3 + 16*s**4 - 14*s**3 + t*s**4 - 20*s**2 - 42*s**4.
-5*s**2*(s - 4)*(2*s - 1)
Let i = -19 - -21. Let 2*m**i - 20*m + 44 + 35*m + 11*m = 0. What is m?
-11, -2
Let a(w) be the third derivative of -w**7/525 + 97*w**6/300 - 767*w**5/50 - 2597*w**4/60 + 4802*w**3/15 + 991*w**2. Let a(v) = 0. Calculate v.
-2, 1, 49
Suppose 60*f**4 - 450*f**2 - 95*f + 2*f**3 - 616*f**5 - 614*f**5 + 390 + 1225*f**5 + 98*f**3 = 0. Calculate f.
-3, -1, 1, 2, 13
Let a = 145287 + -145282. Factor 0*d - 6/7*d**2 - 15/7*d**3 - 3/7*d**a - 12/7*d**4 + 0.
-3*d**2*(d + 1)**2*(d + 2)/7
Factor 0 - 30*b**3 + 267/2*b**2 + 3/2*b**4 - 105*b.
3*b*(b - 14)*(b - 5)*(b - 1)/2
Let c(o) = -o**3 - 7*o**2 + 9*o + 12. Let i = 19 + -27. Let z be c(i). Solve -3*j**2 + 77 - j**4 - 3*j**2 - 78 + z*j + 4*j**3 = 0.
1
Let s be ((-3)/3 + 2)*56. Suppose 5 = f - 20. Let s*d**4 - f*d**5 - 16*d**4 - 40*d**2 - 20*d + 15*d**3 + 30*d**3 = 0. What is d?
-1, -2/5, 0, 1, 2
Let r be (4/(-7))/((-12)/42). Suppose -3*q + 11 = 4*w, -w - r = -5*q + 1. Factor 0*l**3 + 1/4*l**4 + 0*l + 0 + 0*l**w.
l**4/4
Let w(h) be the second derivative of h**7/2520 + h**6/90 - 5*h**4/3 + 61*h. Let n(c) be the third derivative of w(c). Let n(y) = 0. Calculate y.
-8, 0
Let z(v) be the third derivative of 59/40*v**4 + 150*v**2 - 2*v**3 + 0*v + 3/100*v**5 + 0. Factor z(x).
3*(x + 20)*(3*x - 1)/5
Let y(t) be the second derivative of -t**5/20 + 2*t**4/3 - 5*t**3/6 - 7*t**2 - 1260*t. Factor y(n).
-(n - 7)*(n - 2)*(n + 1)
Let s(j) be the second derivative of -j**6/10 + 81*j**5/20 - 57*j**4 + 256*j**3 + 1152*j**2 + 681*j + 1. Factor s(r).
-3*(r - 12)*(r - 8)**2*(r + 1)
Let n(r) = -7*r**2 - 101*r - 35. Let g be n(-13). Let m = g - 95. Suppose -2/17*k**3 + 4/17*k**2 + m*k + 0 = 0. What is k?
0, 2
Suppose 5*v + 3*g = 9, -5*v + 2*g + 16 = -v. Factor 66*q + 15*q**v + 10*q**2 - 38*q - 38*q - 5*q**2.
5*q*(q + 1)*(3*q - 2)
Let p be ((-1)/2)/((-43)/2838). Suppose -p*a = -57 - 9. Factor -5/2*w**a - 15 + 25/2*w.
-5*(w - 3)*(w - 2)/2
Let m(c) be the first derivative of -c**6/90 - c**5/5 - 5*c**4/6 + c**3 + 53*c**2/2 + 37. Let w(a) be the third derivative of m(a). Solve w(p) = 0.
-5, -1
Let w = 74 + -68. Let k be ((-21)/w - 1)*12/(-27). Factor 89*s - 6*s**4 + 20*s**k - 81*s + 5*s**4 + 5*s**4 + 16*s**3.
4*s*(s + 1)**2*(s + 2)
Let y(f) be the second derivative of 39*f - 1/2*f**6 + 0 - 2187*f**2 - 4131/2*f**3 - 1269/4*f**4 - 411/20*f**5. Factor y(i).
-3*(i + 9)**3*(5*i + 2)
Let p(f) = -f**3 - 100*f**2 + 85*f + 12. Let h(o) = -3*o**3 - 201*o**2 + 168*o + 27. Let z(l) = 4*h(l) - 9*p(l). Factor z(m).
-3*m*(m - 31)*(m - 1)
Suppose 2/9*y**3 - 286/3*y**2 + 40898/3*y - 5848414/9 = 0. Calculate y.
143
Let d(m) = -4*m + 51. Let c be d(12). Suppose -336*k + 0 - 3*k**3 + 342*k + c*k**2 + 0 = 0. Calculate k.
-1, 0, 2
Let w(n) be the second derivative of -n**6/180 + 29*n**5/60 + 27*n**4/8 + 77*n**3/9 + 31*n**2/3 - 53*n + 4. Let w(z) = 0. What is z?
-2, -1, 62
Suppose -2*x + 4 = n, -2*n = 2*x + 1 - 7. Find q such that -8*q**n - 151*q + 6*q**2 + 39*q - 4*q**2 + 2*q**2 = 0.
-28, 0
Let o(v) be the third derivative of -v**5/240 - 359*v**4/16 - 386643*v**3/8 - 3*v**2 - 566*v. Factor o(d).
-(d + 1077)**2/4
Let q(c) = -31*c**2 + 375*c - 1152. Let u(t) = -35*t**2 + 375*t - 1150. Let n(x) = -10*q(x) + 9*u(x). Let n(i) = 0. Calculate i.
-78, 3
Let a(l) = -2749 + 2749 + 20*l**3 - 296*l**2 - 268*l. Let w(z) = -4*z**3 + 59*z**2 + 54*z. Let p(v) = -3*a(v) - 16*w(v). Factor p(g).
4*g*(g - 15)*(g + 1)
Suppose -2*p + 7 = 2*y - 3, -3*y + 25 = 5*p. Suppose 12*n + 2 - 2 = y. Factor -1/2*c**3 + n + 0*c - c**2.
-c**2*(c + 2)/2
Suppose 0 = -10*w + 6*w - 12. Let k be w/(-4)*((-5 - -1) + 8). Solve 0*n - 3*n - 4*n - 5*n + k*n**2 = 0 for n.
0, 4
Let s(n) be the first derivative of -n**7/525 + 7*n**5/150 - n**4/10 + 219*n**2/2 + 38. Let u(c) be the second derivative of s(c). Factor u(g).
-2*g*(g - 2)*(g - 1)*(g + 3)/5
Let p = 57 + -52. Suppose -4*c = -p*c + 2. Factor -8*w - 99*w**c + 3*w + 94*w**2.
-5*w*(w + 1)
Let x(w) be the first derivative of 2*w**6/3 + 56*w**5/5 + 15*w**4 - 264*w**3 + 7111. Determine i, given that x(i) = 0.
-11, -6, 0, 3
Let u(q) be the third derivative of 2*q**2 + 0*q + 0*q**3 - 5*q**4 - 11/15*q**5 + 67. Factor u(a).
-4*a*(11*a + 30)
Let n = 64 - 61. Let a be (n/27)/(5/12). Find m, given that -2/5*m**4 - a*m**3 + 4/15*m + 8/15*m**2 - 2/15 = 0.
-1, 1/3, 1
Let p = 56/285 + -299393/7980. Let m = -139/4 - p. Factor m*l**3 + 6/7*l**5 + 0*l + 0 + 18/7*l**4 + 6/7*l**2.
6*l**2*(l + 1)**3/7
Suppose 4*x = 1 + 27. Suppose x*b - 48 = -b. Let f(g) = -g - 1. Let u(z) = 4*z**3 + 12*z**2 + 2*z - 6. Let q(l) = b*f(l) - u(l). Solve q(s) = 0 for s.
-2, -1, 0
Suppose -j - 16 = -5*j. Factor -2*t - t**j - 6*t + 3*t**2 - 4 + 3*t**4 + 7*t**3.
(t - 1)*(t + 2)**2*(2*t + 1)
Let p(d) = 431*d + 34482. Let x be p(-80). Let -125/2*u**x + 935/6*u**3 + 0 - 605/6*u**4 + 15/2*u = 0. Calculate u.
0, 3/11, 1
Suppose -7*q = 8*q - 9*q. Determine n so that 3*n**3 + 3 + 37*n + 9*n**2 - 40*n + q - 6 - 6*n**4 = 0.
-1, -1/2, 1
Let g(f) be the first derivative of -f**6/21 - 178*f**5/35 - 173*f**4/14 + 178*f**3/21 + 174*f**2/7 - 6697. Let g(k) = 0. Calculate k.
-87, -2, -1, 0, 1
Let g(a) be the second derivative of a**6/24 - a**5/6 + 5*a**4/24 - 41*a**2 - 3*a. Let d(c) be the first derivative of g(c). Factor d(i).
5*i*(i - 1)**2
Let x(d) = -63*d + 1516. Let j be x(24). Let