3*h**4 + 0 + 421360/3*h**3 + 128/3*h = 0.
-2/115, 0, 8
Let h(s) = 4 - 3 + 0 - 3*s**4 + 4*s**4. Let d(k) = 2*k**4 - k**3 + 1. Let p = 281 - 276. Let a(u) = p*d(u) - 5*h(u). Solve a(w) = 0.
0, 1
Let c(h) be the second derivative of -h**4/12 - 5*h**3/3 - 11*h**2 + 48*h. Let d be c(-4). Let 8 + d*b**3 - 5*b**2 - 10*b**2 - 26*b - 17 = 0. What is b?
-1, -1/2, 9
Let m be 1 - -6 - 6/(-6). Let w(h) be the first derivative of m + 1/5*h**2 - 1/25*h**5 + 1/5*h + 0*h**3 - 1/10*h**4. Factor w(a).
-(a - 1)*(a + 1)**3/5
Let h(o) be the first derivative of 2*o**6/3 + 16*o**5 + 117*o**4 + 216*o**3 + 2320. Factor h(u).
4*u**2*(u + 2)*(u + 9)**2
Let b = -5 + 10. Let q(c) = -8*c**2 + 15*c + 25. Let t be q(-1). Determine r so that 2/11*r**b - 4/11 - 12/11*r**4 + 18/11*r + 28/11*r**3 - 32/11*r**t = 0.
1, 2
Let n(g) be the third derivative of g**6/600 - g**5/20 + 11*g**4/30 - 5*g**2 + 80*g. Factor n(m).
m*(m - 11)*(m - 4)/5
Let b be (((-19800)/252)/55)/((-11)/(-7) - 2). Let -50*v + b*v**3 - 32*v**2 - 44/3 = 0. Calculate v.
-1, -2/5, 11
Let p(q) be the second derivative of q**6/2340 + q**5/156 - 7*q**3/2 - 4*q - 3. Let f(s) be the second derivative of p(s). What is i in f(i) = 0?
-5, 0
Let x(d) be the first derivative of 3*d**4 - 4/5*d**5 - 6*d**2 - 4/3*d**3 + 8*d + 45. Factor x(n).
-4*(n - 2)*(n - 1)**2*(n + 1)
Let g = 193 + -157. What is k in -g*k**2 + 520*k**3 - 456*k**3 - 30*k**4 + 4*k**2 = 0?
0, 4/5, 4/3
Let n be 204/(-192) + 1 - (-335)/240. Factor 2/9*s**3 + 0 + n*s**2 + 0*s - 2/9*s**4.
-2*s**2*(s - 3)*(s + 2)/9
Let o(n) be the first derivative of 16*n**5/5 + 68*n**4 + 260*n**3/3 + 32*n**2 + 423. Solve o(t) = 0.
-16, -1/2, 0
Let z(a) be the third derivative of a**7/1260 + 79*a**6/360 + 2027*a**5/120 - 790*a**4/9 + 1600*a**3/9 + a**2 - 4. Solve z(v) = 0.
-80, 1
Let n(s) be the third derivative of s**8/1176 + 8*s**7/735 - s**6/20 - 94*s**5/105 - 40*s**4/21 - 11560*s**2. Let n(f) = 0. Calculate f.
-8, -4, -1, 0, 5
Let r(g) be the first derivative of -49*g**6/6 + 966*g**5/5 - 2727*g**4/2 + 6320*g**3/3 + 2151*g**2/2 + 162*g + 1138. Suppose r(b) = 0. Calculate b.
-1/7, 2, 9
Let f be ((-2336)/(-73) + -34)/(1/(-2)). Let 0 - 2/3*z**5 - 8/3*z + 8*z**2 - 26/3*z**3 + f*z**4 = 0. Calculate z.
0, 1, 2
Let k(w) be the second derivative of w**6/60 - 13*w**5/20 - 29*w**4/3 + 13*w**3/6 + 231*w**2/4 - 2*w - 10406. Solve k(f) = 0 for f.
-7, -1, 1, 33
Let g(j) = 21*j**4 - 154*j**3 + 52*j**2 + 1443*j - 1894. Let a(w) = -w**4 + 2*w**3 - 4*w**2 - w + 2. Let h(b) = -38*a(b) - 2*g(b). Determine d so that h(d) = 0.
-4, 2, 58
Let c(j) be the first derivative of 3*j**5/5 + 9*j**4 - 28*j**3 - 2653. Let c(s) = 0. What is s?
-14, 0, 2
Let j(r) = -5*r - 6*r - 2*r**2 + 4 - 13*r - 8*r. Let u be j(-16). Factor 18*s**2 - 21*s**u + 9*s**4 + 6*s**3 + 10*s + 10*s**4.
-2*s*(s - 5)*(s + 1)**2
Let r(t) be the second derivative of t**5/70 - t**4/6 + 2*t**3/21 + 40*t**2/7 + 17*t - 3. What is p in r(p) = 0?
-2, 4, 5
What is j in j**3 + 96 + 56*j - 3228*j**2 - 36 + 3243*j**2 = 0?
-10, -3, -2
Let a = -3945 - -3945. Let p(n) be the second derivative of 37*n + a - 5/12*n**4 - 45/2*n**2 - 5*n**3. Find k, given that p(k) = 0.
-3
Suppose -312*v - 310*v = -1244. Factor -12 + 2*z - 1/12*z**v.
-(z - 12)**2/12
Factor -2/7*b**2 - 52/7*b + 54/7.
-2*(b - 1)*(b + 27)/7
Let y(h) be the first derivative of 0*h**2 + 1/21*h**4 + 0*h**3 - 21 - 21*h. Let v(c) be the first derivative of y(c). Factor v(w).
4*w**2/7
Suppose -9 = 4*n - 25. Suppose 697*i**2 + 1192*i**3 + 3487*i + 116*i**4 + 2916 + n*i**5 + 4271*i**2 + 3317*i = 0. Calculate i.
-9, -1
Suppose -58 = 65*z - 72*z - 4*x, 0 = -5*z - x + 21. Factor 0 + 1/4*p**3 - p**z + 0*p.
p**2*(p - 4)/4
Let 3/4*w**4 + 0 + 0*w - 231/4*w**3 + 57*w**2 = 0. Calculate w.
0, 1, 76
Factor 135*j**2 + 436*j**4 - 32 - 183*j**2 + 13*j**3 + 68*j - 437*j**4.
-(j - 8)*(j - 2)**2*(j - 1)
Let m(y) be the third derivative of -1/210*y**5 + 0*y + 0 - 40*y**2 + 1/21*y**3 + 1/168*y**4 - 1/840*y**6. Factor m(r).
-(r - 1)*(r + 1)*(r + 2)/7
Let p be (-2)/(-15) + 116/30. Suppose 3*a = m + 3, -p*a + 12 = 5*m - 11. Factor x**m - 8*x**2 + 4*x**4 - 20*x + x**5 + x**5 - x**5 - 8 - 6*x**2.
(x - 2)*(x + 1)**2*(x + 2)**2
Let o(h) be the third derivative of -h**7/840 + h**6/48 - 7*h**5/80 - h**4/24 + 7*h**3/6 + 735*h**2. Factor o(g).
-(g - 7)*(g - 2)**2*(g + 1)/4
Let j be ((-15)/24)/(3/(-1854)) - 0. Let w = j - 386. Find y, given that y**3 + w - y - 1/4*y**2 = 0.
-1, 1/4, 1
Let w(m) be the second derivative of 7*m**5 + 0 + 1/21*m**7 + 50*m**2 + 145/3*m**3 + 14/15*m**6 + 76/3*m**4 + 64*m. Let w(q) = 0. What is q?
-5, -2, -1
Let f be 19783/16653 - -2*(-11)/66. Let a = f - -2/793. Factor 8/7*o**2 + 0 - 2/7*o - a*o**3.
-2*o*(o - 1)*(3*o - 1)/7
Let p = -114154/5117 + -37/2924. Let t = 91/4 + p. Factor -15/7*w**3 + 12/7*w**4 + 0*w + t*w**2 + 0.
3*w**2*(w - 1)*(4*w - 1)/7
Let m(n) be the second derivative of 7 + 0*n**2 + 12*n + 1/9*n**4 + 5/3*n**3. Find o, given that m(o) = 0.
-15/2, 0
Let d(v) = -8*v**3 - 44*v**2 + 44*v + 8. Let o(f) = 0*f + 2*f**2 + 28 - f**3 - 2*f - 26 - 2*f**2 + f**2. Let g(p) = -d(p) + 4*o(p). Factor g(h).
4*h*(h - 1)*(h + 13)
Suppose 0 = -10*b + 4 + 16. Suppose 10*h = b*h + 16. Suppose 2*c + 49 - 17 - 2*c**3 - 20 + 2*c**h - 14 = 0. Calculate c.
-1, 1
Let i(h) be the second derivative of 39*h**5/140 - 3*h**4/4 - 5*h**3 + 72*h**2/7 + 2324*h - 1. Suppose i(a) = 0. Calculate a.
-2, 8/13, 3
Let z(r) be the third derivative of r**5/630 - 29*r**4/126 + 55*r**3/21 - 2473*r**2 + 2*r - 2. Find n, given that z(n) = 0.
3, 55
Suppose 5*f - 6625 = 2*h, -8*f = -4*f + 5*h - 5267. Let r = f + -1320. Determine u so that 0*u - 2/7*u**2 + 0 + 2/7*u**r = 0.
0, 1
Let -89 + 89 + 436*g**2 - 578*g + 218*g + 4*g**4 - 16*g**3 - 64*g**3 = 0. What is g?
0, 1, 9, 10
Let b(k) be the third derivative of 0 - 3*k**2 - 1/10*k**4 - 21*k - 1/150*k**5 - 8/15*k**3. Suppose b(s) = 0. What is s?
-4, -2
Let u(v) be the second derivative of -v**5/45 + 19*v**4/6 - 895*v**3/9 + 1300*v**2/9 + v + 498. Determine h, given that u(h) = 0.
1/2, 20, 65
Let g = 13648 - 27293/2. Let z(j) be the first derivative of -g*j**2 + 3/4*j**3 + j - 26. Find p such that z(p) = 0.
2/3
Let v(x) be the first derivative of -3*x**4/20 + 12*x**3/5 + 27*x**2/10 - 324*x/5 - 3856. Let v(g) = 0. Calculate g.
-3, 3, 12
Let u(i) be the third derivative of -i**5/210 + 11*i**4/21 - 96*i**3/7 + 9*i**2 - 62*i. Solve u(x) = 0.
8, 36
Let w(i) be the third derivative of i**5/270 - 65*i**4/18 + 776*i**3/27 - 152*i**2 + 6. Factor w(p).
2*(p - 388)*(p - 2)/9
Let d be (2/72)/(65/150280). Suppose 68/9*h - 2/9*h**2 - d = 0. What is h?
17
Let a(m) be the first derivative of m**4/32 - 21*m**3/8 + 165*m**2/2 - 2299*m/2 - 4344. Let a(x) = 0. What is x?
19, 22
Let p(l) = 17*l + 134. Let t be p(-10). Let r be 1/2 + t/(-24). Factor -2/3*m**r + 2/3 + m.
-(m - 2)*(2*m + 1)/3
Let c(b) = -b**2 - 27*b + 1. Let t(m) = -132*m - 105. Let l(o) = -5*c(o) + 5*t(o). Suppose l(f) = 0. Calculate f.
-1, 106
Let w be (4/(-30))/(1062/(-61065)). Suppose -8 - w*p + 1/3*p**2 = 0. Calculate p.
-1, 24
Let i be 12/21 - (-72036)/27405. Find w, given that -2/5*w**5 - 32/5 - 32/5*w + i*w**3 + 16/5*w**2 - 2/5*w**4 = 0.
-2, -1, 2
Let v be (-71 + -1)/4*(1 + 1). Let g = 44 + v. Factor -4 + 23*a**2 - a**3 - 12*a**2 - 2*a**3 - g*a.
-(a - 2)**2*(3*a + 1)
Suppose 3*y - 2 = 4*z, -2*y + 5*z + 2 = 3*z. Suppose 393 - 9*w**2 - 3*w**y - 3*w**2 + 10*w**3 - 388 = 0. Calculate w.
-1/2, 1
Let l(v) be the third derivative of -v**7/6 - 263*v**6/48 - 73*v**5/4 - 1115*v**4/48 - 85*v**3/6 + 16*v**2 - 9. Let l(u) = 0. What is u?
-17, -1, -1/2, -2/7
Suppose 2*t - 3*z = -27, 35*t + 5*z = 34*t + 45. Factor -2*s + t + 8/3*s**2 - 2/3*s**3.
-2*s*(s - 3)*(s - 1)/3
What is j in -9*j**4 + 12*j**2 - 63 - 177*j + 90*j**2 - 9*j**5 + 186*j**3 + 0*j**4 - 30*j**4 = 0?
-7, -1, -1/3, 1, 3
Suppose 0 = 15*q - 966 - 3594. Factor -12*c**4 - 138*c**3 - 84 - 336*c - 6*c**4 + 27*c**3 - 2*c**3 - q*c**2 - 44 - c**5.
-(c + 1)**2*(c + 4)**2*(c + 8)
Let f(u) be the first derivative of u**4/20 + 2*u**3/5 + 9*u**2/10 + 4*u/5 - 108. Let f(z) = 0. Calculate z.
-4, -1
Let o be (-7)/35*(33/11 - (-1 + 5)). What is i in -13/10*i**2 + 0 + 12/5*i**3 + o*i - 17/10*i**4 + 2/5*i**5 = 0?
0, 1/4, 1, 2
Let a(x) be the third derivative of -71*x**2 + 1/210*x**7 + 2/15*x**5 + 0*x - 1/6*x**4 