(-42). Let b be (3 - (-26)/(-8))/((-15)/72). Determine m so that 0 + 0*m + 2/5*m**3 + b*m**p = 0.
-3, 0
Let u(d) be the third derivative of d**6/30 - 23*d**5/15 + 56*d**4/3 - 4*d**2 - 9. Find b, given that u(b) = 0.
0, 7, 16
Factor 0*d - 3/4*d**2 + 0 + 5/8*d**3 + 1/2*d**4.
d**2*(d + 2)*(4*d - 3)/8
Let m(l) be the first derivative of -3/4*l**2 + 91 + 1/24*l**3 + 0*l + 1/32*l**4. Find c, given that m(c) = 0.
-4, 0, 3
Suppose r - 19 - 74 = 0. Find u such that u - 4*u + 13 + 5*u**2 + 7*u - u**2 - r = 0.
-5, 4
Let n(c) be the third derivative of -c**8/84 - 52*c**7/105 - 47*c**6/15 - 136*c**5/15 - 89*c**4/6 - 44*c**3/3 + 35*c**2 - 8*c. Determine m so that n(m) = 0.
-22, -1
What is s in -3/4*s**4 + 0*s + 87/4*s**3 + 0 + 99*s**2 = 0?
-4, 0, 33
Let j(c) be the third derivative of -c**6/30 - 11*c**5/15 - 6*c**4 - 24*c**3 + 2726*c**2 - 2. Suppose j(r) = 0. Calculate r.
-6, -3, -2
Suppose 0 = -166*a + 169*a - 18. Let i(c) be the third derivative of -3/160*c**5 - 1/16*c**3 - 3/64*c**4 - 1/320*c**a + 0 + 0*c + 12*c**2. Factor i(n).
-3*(n + 1)**3/8
Let f(y) be the second derivative of -52/15*y**3 + y + 44 + 676/5*y**2 + 1/30*y**4. Factor f(t).
2*(t - 26)**2/5
Factor -75/4 + 3/8*a**2 + 69/8*a.
3*(a - 2)*(a + 25)/8
Suppose 0 = -0*o - 2*o - 6, 5*z - 510 = 5*o. Factor 5*h**4 - z*h + 50*h - 30*h**2 + 69*h + 25 - 20*h**3.
5*(h - 5)*(h - 1)*(h + 1)**2
Let a(f) be the third derivative of 5*f**4/24 + 185*f**3/6 - 2*f**2 + 3. Let p be a(-37). What is x in -2/9*x**3 + 0*x**2 + p*x + 0 = 0?
0
Suppose 28*j + 181 - 265 = 0. Let m(x) be the third derivative of x**j - 3/16*x**4 + 19*x**2 + 0 - 1/40*x**5 + 0*x. Factor m(r).
-3*(r - 1)*(r + 4)/2
Let h(j) be the first derivative of j**7/350 - j**6/200 - 3*j**5/50 - 8*j**2 + 52. Let d(w) be the second derivative of h(w). Factor d(k).
3*k**2*(k - 3)*(k + 2)/5
Let p(b) be the first derivative of -11 - 156*b**2 - 96*b - 345/8*b**4 - 1/4*b**6 - 241/2*b**3 - 57/10*b**5. Suppose p(k) = 0. What is k?
-8, -1
Let x(f) be the second derivative of 0 - 15/2*f**2 - 5/12*f**4 + 10/3*f**3 + 132*f. Factor x(k).
-5*(k - 3)*(k - 1)
Let f(i) be the second derivative of -2/21*i**3 + 4 - 1/7*i**7 + 23/70*i**5 - 5*i - 1/105*i**6 + 0*i**2 + 1/42*i**4. What is y in f(y) = 0?
-1, -1/3, 0, 2/7, 1
Let z(s) = 2*s**4 - 18*s**3 + 211*s - 5. Let v = 796 + -806. Let q(g) = -g**4 + 9*g**3 - 106*g + 2. Let u(h) = v*q(h) - 4*z(h). Suppose u(p) = 0. What is p?
-3, 0, 6
Let t(b) be the third derivative of 10/9*b**5 - 1/18*b**6 + 61*b**2 + 0*b**3 + 1/1260*b**7 + 0*b + 0 + 0*b**4. Factor t(g).
g**2*(g - 20)**2/6
Let b(w) be the second derivative of w**4/18 + 23*w**3/9 - 110*w**2 + 9243*w. Let b(c) = 0. What is c?
-33, 10
Let f = -524097 - -51884614/99. Let h = -105/11 - f. Factor 2/9*z**3 + 0 - h*z**2 + 2/9*z.
2*z*(z - 1)**2/9
Let z(y) be the first derivative of -5/9*y**3 + 25/3*y**2 - 125/3*y - 92. Factor z(d).
-5*(d - 5)**2/3
Let d = 6241/20 - 18623/60. Let z = 3 - 0. What is j in 0 - d*j**z + 55/3*j**2 + 0*j = 0?
0, 11
Let j = -222 + 224. Factor n**3 - 256*n**j - 260*n**2 + 499*n**2 - 64 + 80*n.
(n - 8)**2*(n - 1)
Let f(i) be the second derivative of -i**5/4 - 35*i**4/3 - 385*i**3/2 - 1350*i**2 - 8310*i. Factor f(z).
-5*(z + 4)*(z + 9)*(z + 15)
Factor -1/5*l**2 + 329/5*l + 662/5.
-(l - 331)*(l + 2)/5
Let b be (-1242)/90720*-28 + (28/15 - 2). Determine c, given that -c + 3 - b*c**2 = 0.
-6, 2
Let k(x) be the third derivative of x**6/60 - 14*x**5/15 + 221*x**4/12 - 338*x**3/3 + x**2 + 89. Solve k(s) = 0.
2, 13
Let a(t) be the third derivative of t**5/5 - 1515*t**4/8 - 379*t**3/2 + 1543*t**2. Solve a(u) = 0.
-1/4, 379
Let v(s) = s**2 - 2*s. Let d(f) = -3*f - 5*f + 3*f + 4*f. Let p = -221 + 222. Let h(y) = p*v(y) - 4*d(y). Determine i, given that h(i) = 0.
-2, 0
Let d = -439 - -448. Suppose -36*l = -33*l - d. Find i, given that -1/2*i - 1/6 - 1/6*i**l - 1/2*i**2 = 0.
-1
Let p be (-6)/57 + (-56 - 51714/(-684)). Factor 3*g**4 - 6*g**2 + 3/2*g**5 - 9 + p*g - 9*g**3.
3*(g - 1)**3*(g + 2)*(g + 3)/2
Suppose -5*d - k + 3 + 17 = 0, 0 = -3*d + 2*k - 1. Find a such that 2*a**2 + a**5 + 0*a**2 + 0*a**2 - 4*a**d + 3*a - 118*a**4 + 116*a**4 = 0.
-1, 0, 1, 3
Suppose 2*c + 0*c + 2*b - 14 = 0, -29 = -4*c - 3*b. Find r, given that 6*r**3 - 8*r + 2*r**4 + 8*r - c*r = 0.
-2, 0, 1
Let x(y) be the second derivative of 6/7*y**3 - 1 - 111*y + 0*y**2 - 9/35*y**5 - 2/105*y**6 + 1/21*y**4. Solve x(u) = 0 for u.
-9, -1, 0, 1
Let k(a) = 10*a**2 - 5*a + 5. Let o be k(1). Suppose 30*t - 35*t + o = 0. Suppose -5*y**2 + 2*y**2 + 5*y**t - y**4 - y**4 = 0. What is y?
-1, 0, 1
Suppose b - 2 = 0, 34*u - 4*b = 29*u + 7. Factor 1/3*d**5 + 3*d**u - 4/3*d**2 - 2*d**4 + 0 + 0*d.
d**2*(d - 4)*(d - 1)**2/3
Let u(v) be the third derivative of -v**5/12 + 875*v**4/24 - 865*v**3/3 - 1629*v**2. Let u(k) = 0. Calculate k.
2, 173
Let h = 713958 - 713958. Let 0*f + h*f**2 - 49/3*f**3 + 14/3*f**4 + 0 - 1/3*f**5 = 0. What is f?
0, 7
Let p(x) be the second derivative of x**5/50 - 169*x**4/15 + 337*x**3/15 + 2784*x. Factor p(d).
2*d*(d - 337)*(d - 1)/5
Factor 964/9 + 2/9*a**2 + 54*a.
2*(a + 2)*(a + 241)/9
Let f(c) be the second derivative of -91*c + 1/30*c**5 + 0*c**2 - 1/54*c**4 + 1/135*c**6 - 1/9*c**3 + 0. Determine p, given that f(p) = 0.
-3, -1, 0, 1
Suppose 1767 - 3*m**2 + 55*m + 345*m - 291 + 100*m - 17*m = 0. Calculate m.
-3, 164
Let f(n) be the first derivative of n**4/2 + 184*n**3 - 1683*n**2 + 5076*n + 3537. Determine m so that f(m) = 0.
-282, 3
Let v(y) be the second derivative of -2*y**6/45 + 2*y**5/5 + 8*y**4/9 - 64*y**3/3 + 256*y**2/3 + 4751*y. Find c such that v(c) = 0.
-4, 2, 4
Let v(o) be the third derivative of -2*o**7/7 + 19*o**6/30 + 26*o**5/3 + 64*o**4/3 + 64*o**3/3 - 1745*o**2. Solve v(y) = 0.
-4/3, -1, -2/5, 4
Let y(g) = -3*g**2 + g - 14. Let k(r) = -3*r**2 - 6904*r + 3974375. Let v(a) = -k(a) + 2*y(a). Factor v(t).
-3*(t - 1151)**2
Let i(h) be the first derivative of 20/11*h + 32 + 2/33*h**3 + h**2. Factor i(o).
2*(o + 1)*(o + 10)/11
Let s(h) be the first derivative of -h**6/6 - 12*h**5/5 - 5*h**4/2 + 4*h**3 + 11*h**2/2 + 9825. Suppose s(d) = 0. Calculate d.
-11, -1, 0, 1
Let t be (-20)/((-8515)/(-775) + -11). Let d = 10868/7 - t. Let -3*p**3 - d - 51/7*p**2 - 51/7*p - 3/7*p**4 = 0. Calculate p.
-3, -2, -1
Let o = 449453/9 - 49875. Let w(v) be the first derivative of 19 + o*v**3 + 8/3*v + 68/3*v**2. Determine y so that w(y) = 0.
-2/17
Determine s, given that -3362 + 164*s + 88*s**2 - 44*s**2 - 46*s**2 = 0.
41
Suppose -2*t - 6 = -4*l + 2*l, -4*t = 4*l - 12. Let y = -1 + l. Let -3*h - 6*h**y + 9*h**2 + 6*h**2 = 0. Calculate h.
0, 1/3
Suppose 0 = -22*u + 60*u - 228 - 342. Let n(t) be the second derivative of 1/36*t**4 + 0 + 1/18*t**3 - 1/6*t**2 + u*t - 1/60*t**5. Solve n(d) = 0 for d.
-1, 1
Let q be (-1)/(-2) - 21/(-14)*-3. Let u be (16/(-12))/(q/(-3) + -2). Factor -25*h - 343*h**2 + 6 - 2*h + 12*h**3 + 352*h**u.
3*(h - 1)*(h + 2)*(4*h - 1)
Let a = -86 + 89. Let -2*g**4 + 4*g - 258*g**2 - 248*g**2 + 494*g**2 + 9*g**a = 0. Calculate g.
0, 1/2, 2
Let g = -503 - -503. Let m = 197/260 + -1/130. Let -9/8*t + 3/8*t**3 - m + g*t**2 = 0. Calculate t.
-1, 2
Let u(v) = 2*v**5 - 14*v**4 + 36*v**3 + 6*v**2 - 6. Let x(d) = 2*d**5 - 15*d**4 + 37*d**3 + 5*d**2 - 5. Let a(i) = 5*u(i) - 6*x(i). Suppose a(l) = 0. What is l?
0, 3, 7
Let s(w) be the third derivative of w**7/105 + w**5/30 + 2*w**2. Let k(v) be the first derivative of v**3/3 - 101. Let r(u) = 2*k(u) - s(u). Factor r(h).
-2*h**4
Let c(s) be the first derivative of -32/11*s**3 - 45/22*s**4 - 42 + 12/11*s + 3/11*s**2. Suppose c(x) = 0. Calculate x.
-1, -2/5, 1/3
Let v = -63622 - -700065/11. Solve v*a**2 + 167/11*a**3 + 1/11*a**5 - 27/11*a**4 - 168/11*a - 196/11 = 0 for a.
-1, 1, 14
Let w = 358 - 350. Let p be -5 + w + -2 - 14/26. Factor 2/13*o**3 - 8/13 + 0*o + p*o**2.
2*(o - 1)*(o + 2)**2/13
Let w = -196 + 220. Suppose -26*i + 14*i + w = 0. Factor 4/9*o - 2/9*o**i - 2/9.
-2*(o - 1)**2/9
Let t(f) = 439*f + 9222. Let j be t(-21). Let z(l) be the second derivative of 1/50*l**5 - 1/30*l**4 + 1/5*l**2 + 0 + 31*l - 1/15*l**j. Factor z(n).
2*(n - 1)**2*(n + 1)/5
Suppose 36264691/3 + 1/3*g**3 + 331*g**2 + 109561*g = 0. Calculate g.
-331
Let l(d) = 4*d**3 - 10*d**2 + 10*d + 6. Let b(x) = x**3 - 4*x**2 - x + 1. Let g(t) = 6*b(t) - l(t). Determine u, given that g