rivative of 14/25*k**5 - 1/15*k**6 - 46/15*k**3 + 32/5*k + 136 + 11/10*k**4 - 2*k**2. Solve a(h) = 0 for h.
-2, -1, 1, 8
Let r(f) be the third derivative of 4*f**7/525 - 41*f**6/150 + 37*f**5/25 - 107*f**4/30 + 14*f**3/3 - 1118*f**2. Factor r(t).
4*(t - 1)**3*(2*t - 35)/5
Let q(w) be the first derivative of -w**6/120 + 3*w**5/80 + w**4/12 - 175*w + 244. Let a(r) be the first derivative of q(r). Solve a(k) = 0 for k.
-1, 0, 4
Suppose 16 = 3*h - q, 36*h - 41*h = -7*q - 48. Factor -5/2*l**2 + 1/2*l**h - 3/2*l**3 + 1/2*l**5 - l + 0.
l*(l - 2)*(l + 1)**3/2
Let n(u) be the first derivative of 1/3*u**2 + 0*u + 8/9*u**3 + 87 + 1/2*u**4. Solve n(c) = 0 for c.
-1, -1/3, 0
Factor -676/3*g + 2/3*g**2 + 674/3.
2*(g - 337)*(g - 1)/3
Factor -68558/17*s**2 - 39152/17*s - 98/17*s**3 - 5592/17.
-2*(s + 699)*(7*s + 2)**2/17
Let k be (-74)/(-2664)*26/4. Let c(t) be the third derivative of 0*t + 27*t**2 - 1/30*t**5 + k*t**4 + 0 - 1/9*t**3. Factor c(i).
-(i - 2)*(6*i - 1)/3
Let c(z) be the first derivative of z**4/12 + 65*z**3/9 + 43*z**2/6 - 159*z + 144. Let v(t) be the first derivative of c(t). Find u such that v(u) = 0.
-43, -1/3
Let l(w) = -8*w**2 - 24*w - 64. Let z(f) be the second derivative of f**4/12 - 5*f - 4. Let u(a) = -l(a) - 6*z(a). Factor u(o).
2*(o + 4)*(o + 8)
Let n be 6/2*(-20)/(-6). Suppose 54 = 4*g - n. Factor -18*l**3 + g*l**3 + 2 - l**2 + 0*l**2 + 2*l - l**2.
-2*(l - 1)*(l + 1)**2
Let x be -1 + 8 + 1055/(-75). Let g = x - -42/5. Solve -4/3*w**3 + 0 + g*w + 2/3*w**2 - 2/3*w**4 = 0.
-2, -1, 0, 1
Factor -187/3*n**2 + 9016/3*n - 8464 + 1/3*n**3.
(n - 92)**2*(n - 3)/3
Suppose -185*h + 183*h = -112. Suppose w = -v + 8, h + 29 = 5*w - 4*v. Factor 10*y + 15*y**3 + 21*y**2 - w*y + 9*y.
3*y*(y + 1)*(5*y + 2)
Let c = -35 - -38. Find k, given that -12*k**5 + 239*k**2 - 58*k**2 - 132*k + 84*k**4 - 125*k**3 + 24 - 44*k**3 + 77*k**2 - 50*k**c = 0.
1/2, 2
Let y(r) be the second derivative of r**6/900 - 19*r**5/300 + 152*r**3/3 - 196*r. Let c(v) be the second derivative of y(v). Factor c(w).
2*w*(w - 19)/5
Let c be -5 - (620/(-248))/(6/21 + -1)*-2. Factor 18/5*u**c + 2/5*u**3 + 22/5*u - 42/5.
2*(u - 1)*(u + 3)*(u + 7)/5
Suppose -15*u - 2*u + 6*u = 14*u. Let s(p) be the third derivative of 0*p**4 + 0 + u*p - 15*p**2 - 1/75*p**5 + 2/15*p**3. Factor s(v).
-4*(v - 1)*(v + 1)/5
Factor -26167 + 26135 - 327*r**2 + 216*r - 37*r**2.
-4*(7*r - 2)*(13*r - 4)
Let r(h) be the third derivative of -1/20*h**5 - 1/2*h**4 + 5/2*h**3 - 2*h + 5*h**2 + 0. Factor r(g).
-3*(g - 1)*(g + 5)
Let y(j) = 43*j**2 - 139*j - 726. Let t(x) = 18*x**2 - 69*x - 363. Suppose -33 = 15*l + 12. Let p(a) = l*y(a) + 7*t(a). Factor p(i).
-3*(i + 11)**2
Suppose 5*i - 5*y - 78 = 152, 2*i + 4*y - 68 = 0. What is w in 7*w**2 - i*w - 31*w**3 + 8*w**2 + 16*w**3 + 18*w**3 = 0?
-7, 0, 2
Let d(l) be the second derivative of l**6/24 - 149*l**5/40 - 145*l**4/16 + 121*l**3/6 + 61*l**2/2 + 51*l + 14. Suppose d(r) = 0. Calculate r.
-2, -2/5, 1, 61
Let x(j) = 2*j**2 + 15*j + 43. Let w be x(-4). Suppose -50*b**2 - 10*b + 4*b - w*b**3 + 2 - 9*b - 2 = 0. What is b?
-3, -1/3, 0
Let y(o) be the third derivative of o**8/560 + o**7/140 - 5*o**3 + o**2 - 3. Let z(u) be the first derivative of y(u). Factor z(x).
3*x**3*(x + 2)
Let z = 1049 - 920. Suppose 0 = 33*p + 10*p - z. Find t, given that -4/5*t + 1/5*t**p + 1/5*t**2 - 4/5 = 0.
-2, -1, 2
Suppose 5*s = -4*o - 71, -12*s - 2*o - 43 = -9*s. Let n = s + 18. Suppose 28 + 45*q**2 + 65*q + 16*q + 11 + n*q**3 = 0. What is q?
-13, -1
Let v = -287 - -328. Suppose -v = 6*x - 59. Factor 2/13*k**x + 0 - 12/13*k + 10/13*k**2.
2*k*(k - 1)*(k + 6)/13
Let t be 4 + 8/10*(-60)/24. Suppose -54 - 3*b**2 + 2*b**2 - 27*b + 3*b**t - 5*b**2 = 0. What is b?
-6, -3
Let g(c) be the first derivative of -c**5 + 82*c**4 + 470*c**3/3 - 32*c**2 - 201*c + 2544. Factor g(a).
-(a - 67)*(a + 1)**2*(5*a - 3)
Factor 1/3*u**3 + 113*u**2 + 225*u + 337/3.
(u + 1)**2*(u + 337)/3
Let i(a) be the first derivative of -5*a**4/16 + 7*a**3/12 + 7*a**2/4 - 4*a + 2434. Factor i(p).
-(p - 2)*(p - 1)*(5*p + 8)/4
Let b = 5 + -6. Let w = 29 + b. Factor -w*q**3 + 20*q**4 - 160*q + 85*q + 91*q - 32*q**2.
4*q*(q - 2)*(q + 1)*(5*q - 2)
Find d such that 22*d**2 + 4*d**3 - 33*d**2 + 36*d**2 - 300 + 6*d**3 - 90*d**2 - 635*d = 0.
-5, -1/2, 12
Suppose -5*f + 2100 = 5*g, -3*g = 12*f - 14*f - 1235. Let v = 417 - g. Factor 0 - 2/9*u**3 + 0*u**v + 0*u.
-2*u**3/9
Let z(n) be the first derivative of 1/25*n**5 - 110 + 1/5*n**2 - 1/10*n**6 - 3/5*n**3 + 0*n + 9/20*n**4. Let z(q) = 0. What is q?
-2, 0, 1/3, 1
Let g = 7421/18550 + -1/18550. Factor -64/5*c - 64/5 - g*c**3 - 4*c**2.
-2*(c + 2)*(c + 4)**2/5
Let s = -52 - -47. Let l(r) = -r**3 - 2*r**2 + 13*r - 6. Let h be l(s). Factor -25*w**2 - 21*w**h - 29*w**2 - 3*w**5 - 33*w**3 + 39*w**2.
-3*w**2*(w + 1)**2*(w + 5)
Suppose -582 = -8*f - 454. Suppose -4*u + 12 = -f*t + 12*t, -8 = -2*u + 4*t. Factor 2/7*m**u + 4/7*m - 6/7.
2*(m - 1)*(m + 3)/7
Let h(l) be the first derivative of -l**6/14 + 96*l**5/35 + 51*l**4/7 + 2*l**3/7 - 201*l**2/14 - 102*l/7 - 2082. Determine f, given that h(f) = 0.
-1, 1, 34
Suppose 22 = -8*b - 18. Let p be ((-21)/63)/(b/30). Find m such that -2*m + 1/2 + p*m**2 = 0.
1/2
Let b(w) = 3*w**2 + 16*w + 1. Let t(h) = -30*h**2 - 575*h - 275. Let g(y) = 25*b(y) + t(y). Factor g(c).
5*(c - 5)*(9*c + 10)
Let x(f) = 3*f**3 - f**2 - 12*f + 2. Let n(b) = 4*b**3 - 16*b + 3. Let r(y) = 2*n(y) - 3*x(y). Factor r(m).
-m*(m - 4)*(m + 1)
Suppose -4*j - 25 = -g, -31*j - 5 = 2*g - 28*j. Determine w, given that 37/2*w**2 + 1/2*w**4 + g*w**3 + 18 + 30*w = 0.
-3, -2
Let m(z) be the third derivative of -z**7/70 - 71*z**6/40 + 3*z**5/20 + 215*z**4/8 + 71*z**3 + 130*z**2 - 3*z. Factor m(x).
-3*(x - 2)*(x + 1)**2*(x + 71)
Let u(y) be the third derivative of y**7/280 + y**6/24 + 11*y**5/240 - 17*y**4/48 + 4943*y**2. Factor u(t).
t*(t - 1)*(t + 2)*(3*t + 17)/4
Determine t so that 5739*t**2 - 14645925/4*t + 4876875/2 - 9/4*t**3 = 0.
2/3, 1275
Suppose 6310 + 635 = 1656*p + 659*p. Factor -3/8*d**p + 39/8*d - 15/8*d**2 - 21/8.
-3*(d - 1)**2*(d + 7)/8
Let i = -956247/14 + 478218/7. Factor 1/2*y**4 - 9/2*y**3 + 25/2*y**2 - i*y + 5.
(y - 5)*(y - 2)*(y - 1)**2/2
Let f(u) be the second derivative of -u**5/160 + u**4/4 - 7*u**3/16 - 23*u**2/8 + 269*u - 4. Factor f(n).
-(n - 23)*(n - 2)*(n + 1)/8
Find v, given that 3*v**3 + 54*v - 26*v**2 - 11*v**3 + 9*v**3 + 54*v - 238 + 59*v = 0.
2, 7, 17
Let p be (-5 - -2)/(888/60 - 15). Let u(i) = -18*i + 273. Let o be u(p). Determine l so that -6/7*l**2 - 2/7*l**4 + 0*l + 8/7*l**o + 0 = 0.
0, 1, 3
Let t = -30788 + 30791. Find s, given that -2/11*s**t + 4/11*s**2 - 4/11*s**4 + 0 + 0*s + 2/11*s**5 = 0.
-1, 0, 1, 2
Let q be (7 + 3)/5 + -4. Let i(x) = -6*x**2 + 14*x - 13. Let c(g) = g**2 - g + 1. Let n(r) = q*i(r) - 10*c(r). Factor n(j).
2*(j - 8)*(j - 1)
Factor 387/5*o**2 + 8586756/5 + 1/10*o**3 + 99846/5*o.
(o + 258)**3/10
Let c = -74 - -74. Let u be (-67)/(2680/48)*5/(-3). Let c - 1/5*s**3 + 0*s**u + 1/10*s**5 - 1/10*s**4 + 0*s = 0. What is s?
-1, 0, 2
Let n(r) be the third derivative of -r**6/24 - 5*r**5/2 + 40*r**4/3 + r**2 - 136*r. Factor n(y).
-5*y*(y - 2)*(y + 32)
Let i(l) be the second derivative of -l**4 + 4/3*l**3 + 0*l**2 + 1/5*l**5 + 2 - 60*l. Solve i(t) = 0.
0, 1, 2
Let l(s) be the third derivative of -s**7/840 + 5*s**6/48 - 83*s**5/80 - 2387*s**4/24 - 3844*s**3/3 - 807*s**2. Suppose l(w) = 0. Calculate w.
-8, -4, 31
Let s(a) be the first derivative of 12*a**5/5 + 160*a**4 - 144*a**3 + 7354. Determine g, given that s(g) = 0.
-54, 0, 2/3
Let i(r) be the third derivative of 1/2688*r**8 - 1/120*r**5 + 1/336*r**7 + 0*r + 1/160*r**6 + 1 - 1/24*r**4 + 0*r**3 - 61*r**2. What is m in i(m) = 0?
-2, 0, 1
Let z be (-6)/(-8) + (2415/28)/5. Let l be z*((-21)/(-9) - 2). Find s such that -1 + 2*s**4 + 1 + l*s**2 + 2*s - 6*s**3 - 4*s = 0.
0, 1
Let j(h) be the second derivative of h**5/12 - 10*h**3/3 - 99*h**2/2 + 2*h + 1. Let i(t) be the first derivative of j(t). Factor i(o).
5*(o - 2)*(o + 2)
Let o = 1321 - 1309. Let f be o/(27/450*35). Factor 34/7*d**2 - 8/7*d**3 - f*d + 8/7.
-2*(d - 2)**2*(4*d - 1)/7
Factor 0 - 51*c + 1/4*c**3 + 47/4*c**2.
c*(c - 4)*(c + 51)/4
Solve 2/11*f**4 + 128 + 32/11*f**3 - 24*f**2 + 64/11*f = 0.
-22, -2, 4
Let w(h) be the first derivative of h**3/15 -