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Let c(h) be the third derivative of 0*h**3 + 0 + 0*h - 17/96*h**4 - 87*h**2 - 1/240*h**5. Solve c(s) = 0 for s.
-17, 0
Let h be 18/10 - (-586)/2930. Determine s, given that -4/3 + s + 1/3*s**h = 0.
-4, 1
Let j(g) be the first derivative of -5*g**3/6 - 1775*g**2/2 - 6008. Factor j(q).
-5*q*(q + 710)/2
Suppose -832*j + 1458 = -103*j. Factor -x**3 + 0 - 5/3*x**j + 2/3*x.
-x*(x + 2)*(3*x - 1)/3
Let v(z) = -2054*z - 18486. Let t be v(-9). Let 3*o**4 + 0*o - 3/2*o**5 + 0*o**2 + 0 + t*o**3 = 0. Calculate o.
0, 2
Let a(i) = 22*i**3 - 414*i**2 + 1241*i - 825. Let p(x) = 80*x**3 - 1654*x**2 + 4963*x - 3301. Let c(h) = 22*a(h) - 6*p(h). Factor c(m).
4*(m - 2)*(m - 1)*(m + 207)
Let n(h) = -h**3 - 14*h**2 + 75*h + 902. Let d be n(-15). Suppose 1/2 - 1/8*w**d - 3/8*w = 0. Calculate w.
-4, 1
Factor 289306 - 7112*g + 538125 - 1419894 - 2568821 - 4*g**2.
-4*(g + 889)**2
Suppose 4 = -10*f + 12*f. Factor 2*v**3 + 3*v - 5*v**3 + 9*v**f - 40 + 31.
-3*(v - 3)*(v - 1)*(v + 1)
Suppose -9 = 17*f + 59. Let q be 7 + -7 + 0 - 6/f. Factor -3/4*x + 3/4*x**2 - q.
3*(x - 2)*(x + 1)/4
Let i = -104 - -105. Suppose i = -2*h + 9. Determine d, given that 55*d**3 + 5*d**h - 5*d**5 - 13*d**2 - 40 + 14*d**2 - 50*d + 34*d**2 = 0.
-2, -1, 1, 4
Let a(i) = 3*i**2 + 175*i + 624. Let q(h) = -h**2 - 61*h - 208. Let m(v) = 4*a(v) + 11*q(v). Suppose m(x) = 0. What is x?
-16, -13
Let b(l) be the first derivative of -1/14*l**4 - 2/7*l**3 + 0*l - 112 + 4/7*l**2. Determine z so that b(z) = 0.
-4, 0, 1
Let c(s) be the second derivative of -2*s**6/15 - 163*s**5/20 - 665*s**4/4 - 1116*s**3 - 2430*s**2 - 9223*s. Solve c(a) = 0.
-18, -15/4, -1
Let t(b) be the second derivative of -b**7/14 + 2*b**6 - 159*b**5/20 + 17*b**4/2 + 517*b. Find k such that t(k) = 0.
0, 1, 2, 17
Let y(t) = -16*t**3 - 2*t**2 + 4*t - 2. Let x be y(1). Let z be (1 + x/18)/((-17)/(-51)). Factor -z*q**4 - 2/3 + 1/3*q**3 - 1/3*q + q**2.
-(q - 2)*(q - 1)*(q + 1)**2/3
Let 72/5*n - 14/5*n**2 - 88/5 = 0. What is n?
2, 22/7
Suppose -1/4*p**2 - 107/2*p - 11449/4 = 0. Calculate p.
-107
Let d(c) = -25*c + 54. Let q be 69/12 - 6/8 - 3. Let n be d(q). Find p, given that 0*p**2 + 1/3*p**3 + 0 + 0*p + 1/6*p**n = 0.
-2, 0
Let x(m) be the third derivative of -m**5/20 - 51*m**4/8 - 94*m**3 - 741*m**2. Factor x(b).
-3*(b + 4)*(b + 47)
Factor -116/5*n**2 - 2/5*n**3 + 0 + 0*n.
-2*n**2*(n + 58)/5
Let p be (4/4 + (-2 - -2))*-1. Let o be 5 + -6 + (p + -80)/(-3). Suppose -27 + 4*n - 8*n**2 + 13 + 16*n + o = 0. What is n?
-1/2, 3
Let c be -1 + 4/24 + 3/(-54)*6*-7. Suppose c + 3/4*m**2 + 9/4*m = 0. What is m?
-2, -1
Let o(g) be the first derivative of -129 - 2/11*g - 2/33*g**3 + 2/11*g**2. Factor o(b).
-2*(b - 1)**2/11
Let o(h) be the second derivative of 41*h**6/120 - 43*h**5/40 + h**4/4 + h**3 + 2*h**2 + 11*h + 3. Let j(s) be the second derivative of o(s). Factor j(u).
3*(u - 1)*(41*u - 2)
Let t(f) be the first derivative of 5*f**6/18 + 403*f**5/3 + 4015*f**4/12 + 2005*f**3/9 + 254. Factor t(v).
5*v**2*(v + 1)**2*(v + 401)/3
Factor 22*j**2 - 12*j + 1334 - 1343 - 7*j**3 + 17*j**2 + 3*j**3 - 14*j.
-(j - 9)*(j - 1)*(4*j + 1)
Let r(w) be the third derivative of 0*w + 2 + 123*w**2 + 5/336*w**8 + 1/3*w**3 + 4/105*w**7 - 1/6*w**5 - 1/30*w**6 - 1/24*w**4. Factor r(b).
(b - 1)*(b + 1)**3*(5*b - 2)
Let z(y) be the third derivative of -y**5/20 + 35*y**4/8 + 37*y**3 + 44*y**2 - 2*y. Factor z(c).
-3*(c - 37)*(c + 2)
Suppose 2/11*r**5 - 768/11*r**2 + 0 - 760/11*r**3 - 184/11*r**4 + 0*r = 0. What is r?
-2, 0, 96
Find d, given that 128757 + 3970*d - 229478 + 5*d**2 + 888766 = 0.
-397
Let z = -567 + 557. Let x be (-55)/z - (7 - 2). Factor -x*v**3 - 1/2 - 3/2*v**2 - 3/2*v.
-(v + 1)**3/2
Determine m, given that 3*m**3 - 24*m + 45/2 - 87/2*m**2 = 0.
-1, 1/2, 15
Let i(p) be the third derivative of -p**5/40 + p**4/2 + 21*p**3 - 388*p**2. Solve i(v) = 0 for v.
-6, 14
Let h(c) be the second derivative of c**6/240 - c**5/15 + 5*c**4/48 + c**3/2 - 5*c**2 - 10*c - 1. Let x(t) be the second derivative of h(t). Factor x(i).
(i - 5)*(3*i - 1)/2
Let l(g) = -1723160*g**2 + 39395*g - 25. Let j(v) = -156651*v**2 + 3582*v - 2. Let i(h) = -65*j(h) + 6*l(h). Factor i(d).
-5*(177*d - 2)**2
Suppose -3 = -2*t - 7, -4*t + 238 = -3*f. Let y be 252/(-70) + 3 - f/70. Suppose 0 - y*q + 6/7*q**2 + 0*q**3 - 2/7*q**4 = 0. What is q?
-2, 0, 1
Find w, given that 32/3*w + 128/3 + 2/3*w**2 = 0.
-8
Let o(h) be the first derivative of -h**4/12 + 485*h**3/9 + 973*h**2/6 + 487*h/3 - 6799. Factor o(f).
-(f - 487)*(f + 1)**2/3
Let y(a) be the second derivative of a**6/2 - 403*a**5/20 + 957*a**4/4 - 715*a**3/2 - 169*a**2 + 928*a. Determine o so that y(o) = 0.
-2/15, 1, 13
Let q be 16/10*120/48. Suppose -4*n = -4*o + 576, o - q*n - n = 128. Factor o*s**2 + 1 + 6*s**3 + s**4 - 1 + 10*s + 3 - 136*s**2.
(s + 1)**3*(s + 3)
Factor -10527651*v**3 + 4234002*v**2 - 169627*v + 1542564*v**4 - 5970042*v**3 + 10584 - 23867*v**5 - 229265*v + 32736*v - 12634*v**5.
-3*(v - 21)**2*(23*v - 2)**3
Suppose 236*v - 620*v**2 + 320*v - 3*v**3 - 13*v**3 + 78 - 398*v = 0. Calculate v.
-39, -1/4, 1/2
Let g be 7/4 + (-1655)/(-1324). Let p(n) be the second derivative of 0 + n**2 + 4/9*n**g + 1/18*n**4 + 8*n. Factor p(o).
2*(o + 1)*(o + 3)/3
Find w such that -5/6*w**2 - 25/2*w - 65/3 = 0.
-13, -2
Let w(p) be the first derivative of -35*p**4/4 + 955*p**3/3 - 590*p**2 + 260*p + 4324. Factor w(b).
-5*(b - 26)*(b - 1)*(7*b - 2)
Let q(x) be the second derivative of x**9/75600 - x**8/8400 + x**7/3150 - x**4/12 + 11*x**3/3 - 89*x. Let l(o) be the third derivative of q(o). Factor l(i).
i**2*(i - 2)**2/5
Let -1356/11*a**2 + 2/11*a**3 + 229842/11*a + 0 = 0. Calculate a.
0, 339
Suppose -193 = 2*x - 197. Suppose x*f - 10*f + 32 = 0. Suppose 4*q**f - 455*q**5 + 458*q**5 - 12*q**3 + 2*q**4 + 3*q**3 = 0. Calculate q.
-3, 0, 1
Let l = -1026/185 + 12396/2035. What is d in l*d**2 + 0 - 12*d = 0?
0, 22
Let i = 293 + -291. Find n such that -46*n**3 - 20*n**3 - 12*n**4 + i*n**3 - 48*n**2 + 4*n**5 = 0.
-2, -1, 0, 6
Let i(b) be the first derivative of 20*b**2 + 100*b - 159 - 5/3*b**3. Let i(m) = 0. What is m?
-2, 10
Let a(h) be the first derivative of -165 - 196/5*h - 14/5*h**2 - 1/15*h**3. Let a(k) = 0. What is k?
-14
Let p(w) be the first derivative of -w**5/5 + 7*w**4/2 - 49*w**3/3 + 18*w**2 + 4741. Factor p(l).
-l*(l - 9)*(l - 4)*(l - 1)
Let v(y) = -y**3 + 5*y**2 - 7*y + 6. Let d be v(3). Determine l, given that 3*l - 5*l - 6*l**2 + 9*l**2 + 0*l**3 - l**d = 0.
0, 1, 2
Let f(p) be the second derivative of -p**4/42 + 23*p**3/21 + 24*p**2/7 + 324*p. Find s, given that f(s) = 0.
-1, 24
Let i(l) be the third derivative of 1/4*l**4 + 31*l**2 + 0 + 0*l + 6*l**3 + 1/240*l**5. Find d, given that i(d) = 0.
-12
Factor -95/2*i + 1/4*i**2 + 9025/4.
(i - 95)**2/4
Let x(a) be the third derivative of a**5/510 - 29*a**4/68 + 560*a**3/51 + 1554*a**2. Determine q so that x(q) = 0.
7, 80
Let b(r) = -16*r + 179. Let g be b(11). Let o(m) be the second derivative of 11/12*m**g + 0 - 9*m + 3/4*m**2 - 1/6*m**4. Determine d, given that o(d) = 0.
-1/4, 3
Let a be 0 + (23 - 0/6). Determine y so that 16*y**3 - 202*y + 11*y**3 + 214*y + 56*y**2 + 3*y**4 - a*y**2 - 3*y**5 = 0.
-1, 0, 4
Let t be 14 - (2 + 6) - 8. Let n be t + 0 + (16/8 - -3). Factor -4/9*j**2 + 0 + 2/9*j**n + 2/9*j.
2*j*(j - 1)**2/9
Let r(w) be the first derivative of -84 - 2/39*w**3 - 1/26*w**4 + 16/13*w**2 + 32/13*w. Solve r(g) = 0 for g.
-4, -1, 4
Let f(s) be the first derivative of s**4/6 + 2*s**3/3 - 214*s + 39. Let m(w) be the first derivative of f(w). Determine k, given that m(k) = 0.
-2, 0
Let g(n) = -n - 102. Let l be g(36). Let z be (69/l)/((-2)/12). Factor 6/7*w**5 - 30/7*w**z + 6/7*w**2 - 6/7*w**4 + 48/7*w + 24/7.
6*(w - 2)**2*(w + 1)**3/7
Let q(x) = 7*x - 3458*x**2 + 3463*x**2 + 29*x + 82. Let k = -8 + 5. Let y(a) = 5*a**2 + 34*a + 83. Let j(h) = k*q(h) + 2*y(h). Factor j(f).
-5*(f + 4)**2
Let t(g) be the first derivative of g**6/24 + g**5/10 - g**4/16 - g**3/6 - 931. Determine f so that t(f) = 0.
-2, -1, 0, 1
Let d(v) be the third derivative of v**7/14 + 24*v**6/5 + 261*v**5/20 + 37*v**4/4 + 7*v**2 - 31*v. Solve d(k) = 0 for k.
-37, -1, -2/5, 0
Suppose 0 = 12*c - 1853 + 689. Determine z so that z**2 - 98*z**3 + c*z**3 + 0*z**2 + 4 - 7*z**2 + 3*z**2 = 0.
-2, 1
Let b(v) = 7*v**2 + 9*v - 1. Let j(t) be the