Calculate h.
-3, -1, 0, 1
Let w be (10 - 2)*23/4. Find g, given that g**2 - 5*g**2 - 484 + w*g + 79*g - 37*g = 0.
11
Let n(c) = 35*c**2 - 1020*c + 985. Let u(p) = 3*p**2 - 85*p + 82. Let s(o) = 2*n(o) - 25*u(o). Factor s(g).
-5*(g - 16)*(g - 1)
Let c be 10 + -8 + (-42)/24. Solve 5/4*i**3 - 9/4*i**2 + 7/4*i - 1/2 - c*i**4 = 0 for i.
1, 2
Let s(j) be the third derivative of -j**5/390 - j**4/156 - 178*j**2. Factor s(q).
-2*q*(q + 1)/13
Let l be (-2)/(-8) - 13/52. Suppose k = 2*i - 6, -5*k - 3*i + l*i + 22 = 0. Find b such that b**k - b**2 - 2*b**2 - b**2 = 0.
0
Suppose t + 4 = -1. Let o(d) = 2*d + 12. Let h be o(t). Let -a**h - 9*a**4 - 3*a**4 + 13*a**4 - a**3 + a**5 = 0. What is a?
-1, 0, 1
Let i(n) be the first derivative of 28*n**6/3 - 218*n**5/15 - 187*n**4/3 - 346*n**3/9 + 20*n**2/3 + 8*n + 235. Determine l, given that i(l) = 0.
-1, -2/3, -2/7, 1/4, 3
Let v(d) be the third derivative of -22*d**2 + 0 + 1/300*d**5 + 0*d + 2/5*d**3 + 1/15*d**4. What is s in v(s) = 0?
-6, -2
Let o(z) be the first derivative of z**7/840 - z**6/60 + z**5/10 - z**4/3 - 13*z**3/3 - 8. Let c(i) be the third derivative of o(i). Solve c(q) = 0.
2
Let s(p) be the second derivative of -3*p - 5/2*p**3 + 0 + 3/4*p**5 - 1/2*p**4 + 3*p**2. Solve s(a) = 0.
-1, 2/5, 1
Suppose 4*s = 2*y - 6, 5*y - 109*s - 15 = -106*s. Solve 4/3*n**5 + 20/3*n**4 + 40/3*n**2 + 20/3*n + 40/3*n**y + 4/3 = 0.
-1
Let j(i) be the second derivative of 2*i**6/15 - i**5/5 - i**4/3 + 2*i**3/3 - 35*i - 2. What is a in j(a) = 0?
-1, 0, 1
Let z be (-5 + 15/4)/(160/(-512)). Factor 2366/15*a**3 + 296/15*a - 4394/15*a**z + 16/15 + 572/5*a**2.
-2*(a - 1)*(13*a + 2)**3/15
Let k be 16/6*((-18)/36)/((-5)/6). Suppose -8/5*n**4 + 0*n + 12/5*n**5 + 0 - 12/5*n**3 + k*n**2 = 0. What is n?
-1, 0, 2/3, 1
Let t be 322/(-21) + ((-4)/(-3))/1. Let v be (-2)/(-3)*(t - -17). Factor -1/3*g + 0 + 0*g**v + 0*g**4 - 1/3*g**5 + 2/3*g**3.
-g*(g - 1)**2*(g + 1)**2/3
Let b(z) be the first derivative of -49*z**6/50 + 21*z**5/10 + 13*z**4/5 + 4*z**3/5 - 6*z - 4. Let l(x) be the first derivative of b(x). Factor l(i).
-3*i*(i - 2)*(7*i + 2)**2/5
Let n(b) be the third derivative of 1/96*b**6 + 0 + 1/96*b**4 - 1/60*b**5 + 0*b**3 + 29*b**2 + 0*b - 1/420*b**7. What is z in n(z) = 0?
0, 1/2, 1
Factor -5*z + 0 - 1/4*z**2.
-z*(z + 20)/4
Let y(f) be the third derivative of f**6/480 + 7*f**5/120 + 2*f**2 - 32. Determine z, given that y(z) = 0.
-14, 0
Let r(j) be the first derivative of -j**6/6 - 7*j**5/5 - 13*j**4/4 + j**3 + 9*j**2 - 59. Factor r(q).
-q*(q - 1)*(q + 2)*(q + 3)**2
Let p be -196 - -196 - 0/1. Factor p + 1/2*b**2 + 0*b.
b**2/2
Let r(q) be the third derivative of -q**3 + 0*q - 1/40*q**5 - 20*q**2 - 1/4*q**4 + 0. What is n in r(n) = 0?
-2
Let n(p) be the second derivative of -p**7/168 - p**6/15 - 11*p**5/40 - p**4/2 - 3*p**3/8 - 45*p - 2. Solve n(k) = 0 for k.
-3, -1, 0
Factor -84/11 + 2/11*o**2 - 2*o.
2*(o - 14)*(o + 3)/11
Let k(p) = 4*p - 1. Let u(h) = 12*h - 3. Let x(t) = -17*k(t) + 6*u(t). Let j be x(1). Factor 3*z**2 + j - 5 + 2 - 3.
3*(z - 1)*(z + 1)
Suppose 11*w = 7*w + 8. Suppose 10*l**2 + 6*l + 3*l**5 + 27*l**3 - 4*l**4 + w*l**4 + 17*l**4 + 11*l**2 = 0. Calculate l.
-2, -1, 0
Let g(d) be the first derivative of -2*d**5/95 + 3*d**4/19 + 10*d**3/19 + 8*d**2/19 - 134. Factor g(n).
-2*n*(n - 8)*(n + 1)**2/19
Let h(m) be the second derivative of m**4/12 + 40*m**3/3 + 800*m**2 - 15*m - 1. What is v in h(v) = 0?
-40
Let 2/7*y**4 + 8*y - 24/7*y**2 - 32/7 - 2/7*y**3 = 0. Calculate y.
-4, 1, 2
Let n(g) = -g**3 + 31*g**2 - 20*g - 82. Let z(l) = 15*l**2 - 9*l - 42. Let y(a) = 3*n(a) - 5*z(a). Factor y(u).
-3*(u - 4)*(u - 3)*(u + 1)
Let t(r) = 3*r**3 + r**2 - r - 1. Let q be t(-1). Let f be q - -8 - (-1 - -4). Let 2*z**f - z**3 - 3*z - z**4 + 3*z = 0. What is z?
0, 1
Let d(k) be the first derivative of 5*k**4/12 - 5*k**3/3 - 15*k + 10. Let g(n) be the first derivative of d(n). Factor g(c).
5*c*(c - 2)
Let x(b) be the first derivative of b**3/3 + 4*b**2 - 14. Let a be x(-10). Suppose 3*z + a + 12*z - 4*z**2 - 4*z**2 + 3*z**2 = 0. Calculate z.
-1, 4
Let t(w) = 5*w - 27. Let q be t(6). Let s(h) be the first derivative of -16/3*h**3 - 1 - 8/3*h**4 - 2/3*h - q*h**2. Suppose s(o) = 0. What is o?
-1, -1/4
Let l = 706 + -474. Determine a, given that -117*a**2 + l*a**2 - 119*a**2 - 12*a = 0.
-3, 0
Let p(i) = i**3 + 6*i**2 - 8*i - 10. Let x be p(-7). Let d(v) = -v - 1. Let c be d(x). Factor k**2 - 2*k**c + 0*k**2 - k**2.
-2*k**2
Let s(u) be the third derivative of -u**5/40 + u**4/8 - u**3/4 - 10*u**2 + u. What is o in s(o) = 0?
1
Let o = 18 + -16. Suppose 4*i - i - 70 = -2*h, -o = 2*h. Factor 51*y**4 - 54*y**4 - 6*y - i*y**2 + 13*y + 15*y**3 + 5*y.
-3*y*(y - 2)**2*(y - 1)
Let z(b) = 94*b**2 - 222*b + 126. Let l(i) be the second derivative of 70*i**4/3 - 665*i**3/6 + 377*i**2/2 - 7*i + 2. Let p(j) = -2*l(j) + 7*z(j). Factor p(n).
2*(7*n - 8)**2
Let a = 376 + -11279/30. Let u(y) be the second derivative of 0*y**2 - y + 0 + 1/3*y**3 + a*y**6 - 1/4*y**4 + 0*y**5. Factor u(b).
b*(b - 1)**2*(b + 2)
Factor -2/5*a**4 - 46/15*a**3 - 16/3*a**2 + 0 + 32/15*a.
-2*a*(a + 4)**2*(3*a - 1)/15
Let q(a) be the first derivative of a**6/9 - 176*a**5/15 + 173*a**4/6 - 172*a**3/9 - 32. Solve q(x) = 0.
0, 1, 86
Let p(l) = -l**4 - 89*l**3 - 303*l**2 - 336*l - 142. Let k(f) = 4*f**4 + 312*f**3 + 1060*f**2 + 1176*f + 496. Let d(o) = -7*k(o) - 24*p(o). Factor d(m).
-4*(m + 1)**2*(m + 2)*(m + 8)
Let m = -71/21 - -73/21. Let h(c) be the second derivative of 13*c + 1/42*c**4 - m*c**3 + 0 + 0*c**2. Factor h(a).
2*a*(a - 2)/7
Find l such that -1/4*l**2 + 1/4*l**3 + 0 - 1/2*l = 0.
-1, 0, 2
Let j(z) be the second derivative of z**4/36 + 94*z**3/9 + 4418*z**2/3 - 201*z. Let j(g) = 0. What is g?
-94
Let h = -17063 + 17065. Determine r, given that -38/11*r - 4/11 - 70/11*r**h = 0.
-2/5, -1/7
Let c be (-23)/(-92) - (-131)/4. Let l be 2 + (1 - 0) - (-33)/c. Let -1/2*q**l - 2 + 3*q**3 + 6*q - 13/2*q**2 = 0. What is q?
1, 2
Factor -28/9*c + 0 - 2/9*c**2.
-2*c*(c + 14)/9
Let x(f) be the third derivative of 34*f**2 + 0*f - 1/32*f**4 + 0 + 3/16*f**3 - 1/160*f**5. Factor x(w).
-3*(w - 1)*(w + 3)/8
Suppose -2888/9 - 2/9*y**2 - 152/9*y = 0. What is y?
-38
Suppose 0 = -4*p + 37 - 9. Factor -10*n + p*n**5 + 16*n**3 - 3*n**5 + 8*n**2 - 10*n - 16*n**4 + 8.
4*(n - 2)*(n - 1)**3*(n + 1)
Let a = 195 - 195. Let b(d) be the third derivative of 1/90*d**6 + a + 2*d**2 + 0*d + 1/72*d**4 + 0*d**3 - 1/45*d**5. Determine n so that b(n) = 0.
0, 1/2
Let -1/5*z**5 + 8/5*z + 21/5*z**3 + z**4 + 0 + 23/5*z**2 = 0. Calculate z.
-1, 0, 8
Let z(q) be the third derivative of q**8/756 + 2*q**7/315 + q**6/135 + 2*q**2 - 34. Factor z(y).
4*y**3*(y + 1)*(y + 2)/9
Let i(z) be the third derivative of -z**9/30240 - z**8/10080 + z**7/1260 + z**5/10 - 22*z**2. Let y(r) be the third derivative of i(r). Solve y(c) = 0 for c.
-2, 0, 1
Suppose -15*x + 10*x + 10 = 0. Determine f, given that 3*f**3 + 84*f**2 + 13*f**3 + 32*f**x + 16 + 96*f + 20*f**3 = 0.
-2, -1, -2/9
Let t = -389 - -391. Let z(d) be the second derivative of -1/5*d**5 + 1/2*d**4 + 0 + 0*d**2 - t*d + 0*d**3 - 1/15*d**6. Solve z(p) = 0 for p.
-3, 0, 1
Let o(g) be the first derivative of 4*g**3/3 + 792*g**2 + 156816*g - 268. Factor o(t).
4*(t + 198)**2
Find g, given that 289 + 664*g**2 + 19*g**4 + 1/2*g**5 + 215*g**3 + 1513/2*g = 0.
-17, -2, -1
Let l(w) be the third derivative of -w**9/25200 + 11*w**8/50400 + w**7/630 + w**6/600 + w**5/6 + 4*w**2. Let g(q) be the third derivative of l(q). Factor g(u).
-2*(u - 3)*(u + 1)*(6*u + 1)/5
Let r(d) be the third derivative of -11*d**2 + 1/45*d**5 + 0*d**3 + 0*d + 0 - 1/36*d**4 - 1/180*d**6. Let r(g) = 0. Calculate g.
0, 1
Let d(f) be the first derivative of f**3/24 + 9*f**2/2 + 162*f + 326. Factor d(y).
(y + 36)**2/8
Let g = -113 - -116. Suppose 5*d**4 + 18*d**3 + 13*d**3 + 4*d**3 - 5*d**5 - 25*d**g = 0. What is d?
-1, 0, 2
Find f such that -1/5*f**3 - 2*f**2 + 24/5 - 13/5*f = 0.
-8, -3, 1
Let 174/5*u**4 + 0*u + 4/5*u**3 + 0 + 0*u**2 - 88/5*u**5 = 0. What is u?
-1/44, 0, 2
Let h(n) = n + 16. Let d be h(-14). Factor 0 + d - 5*g**2 - 2.
-5*g**2
Let s(l) be the first derivative of 2*l**5/5 + 2*l**4 - 2*l**3/3 - 4*l**2 + 124. Determine v, given that s(v) = 0.
-4, -1, 0, 1
Let m(i) = 10*i**3 + 5*i**2 - 5. Let u(z) = -3*z**2 + 16*z*