derivative of -z**7/70 - 509*z**6/150 - 3491*z**5/300 - 469*z**4/60 + 13*z**2 - 26. Solve h(s) = 0.
-134, -7/5, -1/3, 0
Let n be (-18)/(-4) + ((-28)/(-8) - 4). Suppose -6 - 8*d**2 + d + 9*d**2 - n*d + 4*d = 0. What is d?
-3, 2
Let z(h) = -20*h**2 + 2716*h + 1844161. Let x(k) = 87*k**2 - 10864*k - 7376643. Let v(y) = 6*x(y) + 26*z(y). Factor v(a).
2*(a + 1358)**2
Let p(f) be the second derivative of -f**5/110 - f**4/3 + 5*f**3/11 + 1800*f**2/11 + 2050*f. Find y such that p(y) = 0.
-15, 8
Determine g, given that 3/7*g**3 + 396/7 - 66/7*g**2 + 327/7*g = 0.
-1, 11, 12
Let f be 22 + -85 + 52 + 13. Let 12*s - 172/5*s**f + 288/5 - 4/5*s**4 + 52/5*s**3 = 0. Calculate s.
-1, 3, 8
Suppose 1395 - 1531 = -17*y. Let v be (36/160)/(3/y). Factor 3*k + 0 - 3/5*k**4 - 3*k**3 + v*k**2.
-3*k*(k - 1)*(k + 1)*(k + 5)/5
Let f(v) = -4*v**4 + v**3 + 23*v**2 + 59*v + 48. Let j(z) = 3*z**4 - z**3 + z**2 + 5*z. Let g(t) = f(t) + j(t). Determine u so that g(u) = 0.
-2, 6
Let n = -29 - -58. Suppose -3 = -n*u + 28*u. Let -2*j - j**3 - 3*j**4 + u*j**2 + 4*j**3 - j = 0. What is j?
-1, 0, 1
Let x(f) be the first derivative of -169*f**5/5 - 143*f**4/2 + 503*f**3/3 + 264*f**2 - 576*f - 1126. Factor x(q).
-(q - 1)**2*(13*q + 24)**2
Let b(p) = p**3 + 32*p**2 + 275*p + 343. Let a be b(-17). Factor -2/3*u + 0*u**2 - 1/3 + 2/3*u**a + 1/3*u**4.
(u - 1)*(u + 1)**3/3
Let l be 832/28 + (-2)/(-7). Let k be 2/6 - l/(-18). Factor -4*d + 5*d - 4 - 3*d + 2*d**k.
2*(d - 2)*(d + 1)
Let l(c) = -4*c**3 + 2*c - 4. Let r(b) = 2 - 7*b**4 - 12*b**4 + 20*b**4 - b + b**3. Let k(m) = 2*l(m) + 4*r(m). Factor k(w).
4*w**3*(w - 1)
Suppose x - 144 = 2*a, -3*x + 424 = -15*a + 11*a. Factor -71*k + 5*k**2 + x*k - 100*k + 60.
5*(k - 4)*(k - 3)
Let r(w) = 6*w - 4 - 10 - 4*w. Let c be r(8). Solve -157 - 12*d + 157 + 3*d**c = 0 for d.
0, 4
Let x(a) = -5*a**2 + 1918*a - 182417. Let h(z) = -2*z + 3. Let j(f) = -4*h(f) - x(f). Determine o so that j(o) = 0.
191
Let m(k) be the second derivative of k**4/12 + k**2/2 + 15*k. Let o(g) = -12*g**2 + 6*g + 10. Let l(s) = -10*m(s) - o(s). Find t, given that l(t) = 0.
-2, 5
Let z(a) = -2*a - 5*a**3 + 5 + 1 + 7*a - 29*a**2 - 12. Let l be z(-6). Solve 0*s - 6/11*s**2 - 2/11*s**3 + l = 0.
-3, 0
Let t be 2/5 + 127908/855. Let u be t/(-1575)*-14*1. Find z, given that 8*z + u*z**2 + 12 = 0.
-3
Let h(x) be the first derivative of -x**6/24 - 9*x**5/20 + x**4/16 + 27*x**3/4 + 9*x**2 - 5924. What is m in h(m) = 0?
-8, -3, -1, 0, 3
Let z(t) be the third derivative of 5*t**8/336 - t**7/6 + t**6/6 + t**5 + 2*t**2 - 353. Let z(m) = 0. Calculate m.
-1, 0, 2, 6
Suppose -4*p + 315 = 5*w + 285, 5*p = 4*w - 24. Let f(y) be the first derivative of -1/7*y**2 + p*y - 15 - 4/21*y**3. Determine x, given that f(x) = 0.
-1/2, 0
Let 142 - 62 + 70*r**2 + 184 - r**3 - 268*r = 0. What is r?
2, 66
Let k(q) = 4*q**2 - 31*q + 60. Let p be k(4). Let g be p/(-1)*(2 - 3). Let g + 0*a**2 + 1/3*a**3 + 0*a = 0. What is a?
0
Let u be 1*5*51/(-255). Let d be u*-3*10/50. Factor -12/5 + d*z**3 - 12/5*z + 3/5*z**2.
3*(z - 2)*(z + 1)*(z + 2)/5
Let o be (5/3 - 1)*38423/7700. Let y = o + -79/25. Factor -1/6*r**2 + y*r + 0.
-r*(r - 1)/6
Let h = -464269591/226925699 + 148114/20609. Let v = 3/1573 + h. Suppose -15*l**3 + 108/7*l**2 + 6/7 + v*l**4 - 45/7*l = 0. Calculate l.
1/4, 2/3, 1
Suppose -438*l + 440*l - 8 = o, -6*l + 40 = 5*o. Factor 4/5*p + 16/15 + 2/15*p**o.
2*(p + 2)*(p + 4)/15
Let r(x) = -x**3 - x**2 - 33*x + 10. Let k be r(-6). Let f = k - 386. Factor -1/5*v**3 - 9/5 - 3*v - 7/5*v**f.
-(v + 1)*(v + 3)**2/5
Let w(t) = 180*t**2 + 193960*t + 193935. Let f(m) = -7*m**2 - 7460*m - 7459. Let g(j) = -155*f(j) - 6*w(j). Factor g(c).
5*(c - 1493)*(c + 1)
Find y, given that -8*y**2 - 775 + 1198*y + 59 - 178 = 0.
3/4, 149
Let l(y) be the first derivative of -y**5/15 + 7*y**4/3 + y**3/9 - 14*y**2/3 - 2584. Factor l(h).
-h*(h - 28)*(h - 1)*(h + 1)/3
Suppose -22 = -3*d + 95. Suppose 3*w + d = 5*r, 4 = -4*r + w + 38. Factor 5*k - 12*k**3 + r*k**3 - 4*k + 5*k + 3*k**2.
-3*k*(k - 2)*(k + 1)
Suppose -n - 14 = -5*s, -2*n - 4 = 7*s - 5*s. Solve 35 + m**2 - 294*m + 324*m - 6*m**s = 0.
-1, 7
Let a(c) be the first derivative of -19 + 4/21*c**2 + 1/21*c**4 - 1/7*c**3 - 1/210*c**5 - 12*c. Let s(l) be the first derivative of a(l). Factor s(n).
-2*(n - 4)*(n - 1)**2/21
Let s(b) = 55*b**2 + 3779*b + 22396. Let q(c) = -9*c**2 - 630*c - 3732. Let l(a) = -37*q(a) - 6*s(a). What is p in l(p) = 0?
-206, -6
What is y in -2078 - 2111 + 165*y - 128*y + 251*y - 2723 - 3*y**2 = 0?
48
Let d(b) be the second derivative of b**4/84 + 139*b**3/42 - 4572*b. Let d(c) = 0. What is c?
-139, 0
Let d be -3*114/(-2) - (-6 + 0). Let w be d/(-36) - (-39 + 34). Solve 1/6*c**4 + 0 - w*c**3 - 1/6*c**2 + 0*c + 1/12*c**5 = 0.
-2, -1, 0, 1
Let x(u) be the first derivative of 2*u**3/9 - 61*u**2/3 - 3015. Determine y so that x(y) = 0.
0, 61
Suppose 0 = -4*h - 17 + 93. Suppose 0 = -2*y - a + 14, -h = -3*y - 0*a - 2*a. Suppose -6*p + 2 + 4*p**2 + 10 - y*p - p = 0. What is p?
1, 3
Suppose -18 = -6*z - 0. Let y be (-2)/z*(-7 - -1). Factor -9*i + 15*i**3 + 7*i**y + 33*i + 15*i**3 + 4 + 43*i**2.
(i + 1)**2*(i + 2)*(7*i + 2)
Let u(t) be the second derivative of t**7/70 - 23*t**6/50 + 123*t**5/100 + 23*t**4/20 - 21*t**3/5 + 150*t + 18. What is n in u(n) = 0?
-1, 0, 1, 2, 21
Let h be (-16)/(-2) + (39 - 47). Suppose -127*n + 3*n**2 + 19*n + 40*n - 88*n + h*n**2 = 0. Calculate n.
0, 52
Suppose 2*r - 4*r = p - 14, 57 = 5*r - 3*p. Factor 33 + 4 + 5*g**3 - r + 10*g**2 + 22 - 65*g.
5*(g - 2)*(g - 1)*(g + 5)
Let m(n) be the first derivative of 1207*n**3 - 9705*n**2 - 24 - 88*n**4 - n**5 - 7687*n**3 - 47*n**4 - 106935*n**2. Factor m(z).
-5*z*(z + 36)**3
Suppose -151*p = 134*p - 358*p + 146. Solve -2/3*t**p + 8*t - 18 = 0.
3, 9
Let t(n) be the second derivative of n**5/20 - n**4/6 - n**3/3 + 3*n**2/2 + 88*n. Let b be t(0). Let 12*k + 9*k**b - 8/3 - 18*k**2 = 0. What is k?
2/3
Let t = 4397 + -4395. Let x(q) be the third derivative of 24*q**t - 1/40*q**6 + 0*q + 0 + 0*q**4 + 3/10*q**5 - 16*q**3. Suppose x(m) = 0. What is m?
-2, 4
Factor 0 + 39*u**4 - 1/5*u**5 + 0*u + 197/5*u**2 + 393/5*u**3.
-u**2*(u - 197)*(u + 1)**2/5
Suppose -1005*s**4 - 1359005/3*s**2 + 5/3*s**5 + 451000*s - 150000 + 153005*s**3 = 0. Calculate s.
1, 300
Suppose 260 + 515 = -25*g. Let d = g + 33. Factor -3/2*c - 3/8*c**4 + 3/4*c**3 + 9/8*c**d - 3/2.
-3*(c - 2)**2*(c + 1)**2/8
Suppose 22*x = 7*x + 60. Let h be (((-14)/x)/7)/((-50)/20). Factor 1/5*k**4 + 2/5*k**3 + 0*k + 0 + h*k**2.
k**2*(k + 1)**2/5
Let a = -2584 - -2588. Let y be (-6)/5*(-2 - 3). Factor -18*p**3 + 16*p**a + 7*p**2 + 2*p - y*p**4 - p**2.
2*p*(p - 1)**2*(5*p + 1)
What is x in -57672*x + 13735 + 547*x**3 - 622*x**3 - 2203 + 72135*x**2 = 0?
2/5, 961
Let q(f) be the first derivative of 3/4*f**4 + 0*f + 2/3*f**3 + 1/12*f**6 - 2*f**2 + 16 - 1/2*f**5. Determine s so that q(s) = 0.
-1, 0, 2
Let d(a) be the second derivative of -a**7/126 + a**6/36 - a**5/120 - a**4/36 - 538*a. Find b such that d(b) = 0.
-1/2, 0, 1, 2
Solve 2098*k**3 - 1153*k**3 + 7*k**5 + 210*k**4 - 2*k**5 + 740*k**2 = 0 for k.
-37, -4, -1, 0
Let l(q) = -q. Let h(r) = 4*r**2 + 9*r - 3*r**4 + 12*r**2 + 9*r**3 + 18*r**3 + 20*r**3. Let o(t) = 2*h(t) + 18*l(t). Factor o(d).
-2*d**2*(d - 16)*(3*d + 1)
Let q(d) be the first derivative of d**3/15 - 13*d**2/5 - 231*d/5 + 4265. Factor q(c).
(c - 33)*(c + 7)/5
Let s(x) be the second derivative of x**5/30 - 2*x**4/9 + x**3/3 - 1026*x + 2. Let s(r) = 0. What is r?
0, 1, 3
Let s be ((-12)/(-26))/((-4200)/(-2730))*15/18. Find h such that s*h**2 - 1 + 0*h = 0.
-2, 2
Suppose 10*a - 2*a - 15262 = -15238. Suppose 2/3*l**2 + 2/5 - 2/15*l**a - 14/15*l = 0. Calculate l.
1, 3
Suppose -15*s + 19*s = 20. Factor d**s - 8*d**2 - 2*d**5 - 18*d**4 + 2*d**2 + 24 - 33*d**3 + 38*d - 2*d - 2*d**5.
-3*(d - 1)*(d + 1)*(d + 2)**3
Let u(a) be the second derivative of -17*a**7/14 + 53*a**6/30 - a**5/10 - a - 563. Determine p, given that u(p) = 0.
0, 2/51, 1
Suppose 6*i**3 - 1694*i**5 - 10*i**2 + 2*i**4 + 4*i + 839*i**5 + 853*i**5 = 0. What is i?
-2, 0, 1
Suppose 0 = 16*d + 134 - 166. Let a be (51/(-85))/((-2)/5). Factor 75/2 - 15*b + a*b**d.
3*(b - 5)**2/2
Let r be ((-28)/20)/((-2)/4). Let o be (1/(-5))/((-105 - -94)/22). Factor -12/5 + r*s - o*s**2.
-2*(s - 6)*(s - 1)/5
Factor -2