 43*u**4/12 - 82*u**3/3 + 6*u**2 + 2*u. Suppose h(k) = 0. Calculate k.
4, 41
Let k(g) be the second derivative of g**4/32 + 19*g**3/16 - 225*g**2/8 + 1153*g. Factor k(s).
3*(s - 6)*(s + 25)/8
Let d = 2/260695 + 604812/52139. Solve d*y**2 - 34/5*y - 18/5 - 6/5*y**3 = 0 for y.
-1/3, 1, 9
Let k be 2 + -4 + 19/(-1). Let m be -3*k/(-27) - (4 + -7). Determine y so that 1/6*y**2 + 1/2 + m*y = 0.
-3, -1
Let 0 + 2500/7*f**4 + 300*f**3 + 16/7*f - 384/7*f**2 = 0. What is f?
-1, 0, 2/25
Let f be (85/10 - 9)*0. Let o(l) be the third derivative of -2*l**2 + 0*l**3 + f - 1/6*l**4 + 0*l - 1/6*l**5. Factor o(i).
-2*i*(5*i + 2)
Let j(c) be the first derivative of c**4/22 + 280*c**3/11 + 837*c**2/11 + 76*c - 279. Let j(k) = 0. What is k?
-418, -1
Let g be 94 - 85 - 444*4. Let l = g + 1770. Factor 6/5*w**2 + 1/5*w**l + 8/5*w + 0.
w*(w + 2)*(w + 4)/5
Let l be 4/6 + -5 + (-57)/(-9). Factor x**l - 16*x - 41 + x + 55.
(x - 14)*(x - 1)
Let i(o) = o**2 + 25*o - 81. Suppose 52 - 19 = 11*s. Let j be i(s). Factor -12*q - 2*q**j - 36/5 - 1/5*q**4 - 37/5*q**2.
-(q + 2)**2*(q + 3)**2/5
Suppose -28 = -5*i - 8. Suppose -91*k**2 - 32*k**i - 55*k**2 + 85*k + 112*k**3 - 18 - k = 0. What is k?
3/4, 1
Let v(g) = -166 + 17*g**3 - 92*g**2 + 177 + 15*g**2 - 52*g - 31*g. Let h(u) = 6*u**3 - 26*u**2 - 28*u + 4. Let l(k) = 11*h(k) - 4*v(k). Factor l(a).
-2*a*(a - 12)*(a + 1)
Solve 346/7*n**4 - 348/7*n + 50*n**3 - 346/7*n**2 - 2/7*n**5 + 0 = 0 for n.
-1, 0, 1, 174
Suppose g = 4*i - 361 + 369, -5*g = 8*i - 40. Factor i - 6/11*h - 8/11*h**2.
-2*h*(4*h + 3)/11
Suppose 17 = 3*p + 2. Suppose -15*t**p + 2*t**2 - 5*t**2 - 27*t**3 + 9*t**2 + 36*t**4 = 0. What is t?
0, 2/5, 1
Let l(f) be the second derivative of -f**6/120 + f**5/15 - f**4/8 + 95*f**2/2 - 2*f - 53. Let d(c) be the first derivative of l(c). Factor d(g).
-g*(g - 3)*(g - 1)
Factor 172*p**3 - 1/2*p**4 - 60552 - 59856*p - 14444*p**2.
-(p - 174)**2*(p + 2)**2/2
Let y(r) be the second derivative of 15*r + 1 + 7/9*r**2 + 17/54*r**4 + 1/45*r**5 + 22/27*r**3. Factor y(a).
2*(a + 1)*(a + 7)*(2*a + 1)/9
Let o = -218 + 226. Suppose -43 - o*f - 12*f - 32*f**5 - 74*f**2 - 41 + 84 + 64*f**4 + 42*f**3 = 0. Calculate f.
-1, -1/4, 0, 5/4, 2
Let a(i) = -i**3 + 8*i**2 - 11*i - 4. Suppose -4*n + 21 = 3*y, 3*y + 0 = -3. Let k be a(n). Suppose -6*c - 9*c**k + 4*c - 4*c**4 - 4*c + 7*c**4 = 0. What is c?
-1, 0, 2
Suppose -o - 4 = o, 4*o + 16 = 4*i. Let v(b) be the second derivative of 0 + 1/50*b**5 - 1/15*b**4 + 0*b**i - 29*b + 0*b**3. Factor v(p).
2*p**2*(p - 2)/5
Solve 648*w**2 + 2571005*w**4 + 667*w - 2571003*w**4 - 15*w - 650 - 652*w**3 = 0.
-1, 1, 325
Let u(z) be the second derivative of 0*z**4 + 30*z + 0*z**3 + 0*z**2 - 1/10*z**5 + 0. Factor u(t).
-2*t**3
Let g(n) = -35*n**2 + 154*n + 1378. Let a(c) = -70*c**2 + 326*c + 2757. Let j(v) = 3*a(v) - 7*g(v). Factor j(s).
5*(s + 5)*(7*s - 55)
Suppose -16/5*i**2 + 2/5*i**3 + 24/5*i + 0 = 0. Calculate i.
0, 2, 6
Let u(v) be the first derivative of -63 + 11/6*v**2 + 5/3*v + 1/12*v**4 + 7/9*v**3. Solve u(c) = 0 for c.
-5, -1
Let p(s) be the second derivative of s**4/12 - 13*s**3/6 + 12*s**2 + 7*s - 3. Let h be p(11). Factor -7/12*t**h + 5/4*t**3 + 1/3*t**5 - 13/12*t**4 + 1/12*t + 0.
t*(t - 1)**3*(4*t - 1)/12
Suppose k + 23 = l, -3*k - 5*l = -0*k + 53. Let r be (-8 - k/2)*4/5. Factor -4*z**r + 18*z - 45 - 24*z - z**2 - 44*z.
-5*(z + 1)*(z + 9)
Let p(q) = -8*q**3 + 55242*q**2 + 42026138*q - 26. Let y(c) = -c**3 + 6139*c**2 + 4669571*c - 3. Let d(s) = -6*p(s) + 52*y(s). Solve d(t) = 0.
-1528, 0
Let p(y) be the first derivative of -y**4/42 + 2*y**3/21 + 3*y**2/7 - 128*y + 63. Let n(g) be the first derivative of p(g). Suppose n(s) = 0. What is s?
-1, 3
Let b(l) = -4*l**5 + 48*l**4 + 28*l**3 - 36*l**2 - 4*l. Let p(c) = 3*c**5 - 47*c**4 - 27*c**3 + 38*c**2 + 5*c. Let f(u) = 5*b(u) + 4*p(u). Solve f(r) = 0 for r.
-1, 0, 1/2, 7
Let d(i) be the first derivative of -1/6*i**4 - 4/9*i**3 - 103 + 4/3*i + 1/3*i**2. Factor d(g).
-2*(g - 1)*(g + 1)*(g + 2)/3
Suppose -5*z = 3*c - 9*z - 26, 5*c + 2*z - 78 = 0. Suppose 42*g - 182 = -c. Find i such that -8/11 + 8/11*i**3 + 6/11*i**2 - 8/11*i + 2/11*i**g = 0.
-2, -1, 1
Let t(n) be the first derivative of 5*n**6/12 - 439*n**5/20 + 201*n**4/4 - 247*n**3/12 - 53*n**2/2 + 21*n - 2670. Suppose t(m) = 0. What is m?
-1/2, 2/5, 1, 42
Let n(t) be the third derivative of -3*t + 0*t**3 + 0 - t**2 + 1/144*t**6 - 11/360*t**5 + 0*t**4. Factor n(d).
d**2*(5*d - 11)/6
Let z(c) be the second derivative of c**7/315 + c**6/30 + c**5/10 + c**4/9 + 45*c**2/2 + 46*c. Let g(t) be the first derivative of z(t). Factor g(v).
2*v*(v + 1)**2*(v + 4)/3
Let g(q) = -4*q**2 - 17*q - 27. Let y be g(-18). Let r = y - -1449. Factor -r + 39*t - 11*t**2 + 9*t**2 - t**2 + 33*t.
-3*(t - 12)**2
Let w(z) be the second derivative of -z**5/10 + 61*z**4 - 14884*z**3 + 1815848*z**2 - 5589*z. Factor w(c).
-2*(c - 122)**3
Let b(s) be the third derivative of s**8/17920 + s**7/448 + 11*s**4/12 - 5*s**3/6 + 79*s**2. Let c(f) be the second derivative of b(f). Solve c(t) = 0 for t.
-15, 0
Let v(g) = -17*g**2 + 60*g - 61. Let o(n) = 32*n**2 - 120*n + 121. Let q = 163 - 174. Let u(m) = q*v(m) - 6*o(m). Determine w so that u(w) = 0.
1, 11
Solve 23/7*b**3 + 0 + 4/7*b**4 - 12/7*b**2 - 4/7*b**5 - 36/7*b = 0 for b.
-3/2, 0, 2
Let j(a) be the third derivative of a**6/900 + a**5/75 - 10*a**3/3 + 37*a**2. Let d(n) be the first derivative of j(n). Factor d(b).
2*b*(b + 4)/5
Let n be 12/28 - (3 - (-558)/(-21)). Suppose -7*h + n*h = 0. Determine q, given that 1/8*q**4 - 1/8*q**2 + 0*q**3 + h*q + 0 = 0.
-1, 0, 1
Let q(a) be the second derivative of a**5/140 + a**4/28 - 5*a**3/3 - 72*a**2/7 + 5228*a. Factor q(n).
(n - 8)*(n + 2)*(n + 9)/7
Factor 640*g**3 + 1611*g**4 - 4859*g**4 + 144*g**2 + 1620*g**4 + 1592*g**4.
-4*g**2*(g - 18)*(9*g + 2)
Let i(w) be the second derivative of 5/72*w**4 + 35/12*w**3 + 0*w**2 + 9*w - 12. What is j in i(j) = 0?
-21, 0
Solve 18*x**2 + 0 + 0*x - 1/2*x**3 = 0.
0, 36
Let h(s) be the second derivative of 338*s**7/21 + 494*s**6/3 + 2058*s**5/5 + 548*s**4/3 + 80*s**3/3 - 458*s. Solve h(v) = 0 for v.
-5, -2, -2/13, 0
Let f be (14/4 + 133 + -136)*3. Determine r so that 1/2*r**5 + 11/2*r**2 - f*r**4 + 2 - 1/2*r**3 - 6*r = 0.
-2, 1, 2
Let d(m) be the first derivative of m**4/4 - 929*m**3/3 - 1234. Find z such that d(z) = 0.
0, 929
Let k(r) = -437*r**3 - 3787*r**2 - 7223*r - 240. Let p(a) = 222*a**3 + 1894*a**2 + 3610*a + 120. Let v(n) = -2*k(n) - 5*p(n). Factor v(l).
-4*(l + 3)*(l + 5)*(59*l + 2)
Let 2/15*b**5 - 864/5 + 358/15*b**3 - 64/15*b**4 + 2656/15*b**2 - 24*b = 0. What is b?
-4, -1, 1, 18
Factor -2/9*q**2 - 279752/9 - 1496/9*q.
-2*(q + 374)**2/9
Let v(t) be the third derivative of t**6/30 + 19*t**5/15 + 31*t**4/6 - 34*t**3 - 36*t**2 - 17. Find s, given that v(s) = 0.
-17, -3, 1
Let p(d) be the second derivative of 5*d + d**3 - 1/12*d**4 - 6 + 7/2*d**2. Factor p(h).
-(h - 7)*(h + 1)
Let k = 730 - 646. Let d be 0/(12/k - 6/(-7)). Let 1/5*l**4 + d*l**3 - 9/5*l**2 - 4/5*l + 12/5 = 0. What is l?
-2, 1, 3
Suppose -62/5*l + 1/5 - 1/5*l**2 + 62/5*l**3 = 0. Calculate l.
-1, 1/62, 1
Factor 940*k - 416/9*k**2 - 4/9*k**3 - 4392.
-4*(k - 9)**2*(k + 122)/9
Suppose -166*v + 165 = -151*v. Let p(m) be the first derivative of -v + 14/3*m**2 - 16/9*m**3 - 2*m. Solve p(b) = 0.
1/4, 3/2
Solve 851688785738*r**4 - 253 + 1591829964262*r**4 - 264 - 11400*r + 16245000*r**2 + 520 + 4420485180*r**3 - 14708985180*r**3 = 0 for r.
1/950
Suppose -23 + 37 = 7*f. Let t be ((-4)/9)/((-5)/45). Let -1/3*a**f + 1/3 - 1/6*a**5 + 2/3*a**3 - 1/2*a + 0*a**t = 0. Calculate a.
-2, -1, 1
Let r(g) be the first derivative of 5/24*g**6 - 11/4*g**2 + 273 - 63/20*g**5 + 89/16*g**4 + 0*g - 3/4*g**3. Determine z, given that r(z) = 0.
-2/5, 0, 1, 11
Let o(s) = -s**3 + s**2 - 1. Let i(b) = -b**3 + b**2 - 4*b + 2. Let d = -64 + 65. Let c(x) = d*i(x) - 2*o(x). Find a, given that c(a) = 0.
-2, 1, 2
Let k(d) be the second derivative of -d**5/170 - d**4/17 - d**3/17 + 10*d**2/17 + 20*d + 2. Let k(n) = 0. Calculate n.
-5, -2, 1
Suppose -1 = 2*k + 5*t, 5*k - 9 = k + t. Factor -301*z**4 + 4*z**3 + 32*z**k - 72 - 24*z - 10*z**2 + 299*z**4.
-2*(z - 3)**2*(z + 2)**2
Let k(x) be the third derivative of -x**7/504 - 4*x**6/9 - 128*x**5/3 - 7*x**4/3 - 80*x**2. Let n(a) be the second d