1)**2*(x + 1)/3
Let v(d) be the third derivative of -5*d**2 + 0*d**3 + 1/27*d**5 + 2/135*d**7 - 1/504*d**8 + 0*d**4 + 0 - 7/180*d**6 - 11*d. Let v(m) = 0. Calculate m.
0, 1, 5/3, 2
Let d = 30543 + -91627/3. Suppose -14/3 - 10/3*j**2 - d*j**3 + 26/3*j = 0. Calculate j.
-7, 1
Let p(v) = -8*v**3 + 178*v**2 + 698*v + 675. Let x(n) = 3*n**3 - 89*n**2 - 348*n - 338. Let c(d) = 4*p(d) + 10*x(d). Factor c(f).
-2*(f + 2)**2*(f + 85)
Let a = -106 + 111. Suppose 4*p = 16, a*s = -5*p + 4*p + 1839. Factor -486 + 30*o**4 + 3*o**5 + 178*o**3 - 38*o - 88*o**3 - s*o.
3*(o - 2)*(o + 3)**4
Let f = 850664 - 850659. Solve -2/13*a**f - 20/13*a**4 - 48/13*a**3 - 14/13*a + 0 - 44/13*a**2 = 0.
-7, -1, 0
Let z be (-162)/486 + 92/6. Let u(c) be the first derivative of -1/8*c**4 + 13/6*c**3 + z + 5/4*c**2 - c - 1/3*c**6 - 11/10*c**5. Let u(d) = 0. What is d?
-2, -1, 1/4, 1
Let w(d) be the first derivative of -d**4/3 + 10*d**3/3 + 17*d**2/3 + 1341. Find f such that w(f) = 0.
-1, 0, 17/2
Let i(r) be the second derivative of r**8/3360 + r**7/315 - 7*r**6/360 - r**5/6 - 27*r**4/4 + 80*r - 1. Let m(c) be the third derivative of i(c). Factor m(k).
2*(k - 2)*(k + 1)*(k + 5)
Let k(o) be the first derivative of 7/15*o**3 - 265 + 1/40*o**4 + 49/20*o**2 + 0*o. Let k(j) = 0. What is j?
-7, 0
Let q(u) be the first derivative of -u**5/240 + u**3/24 - 111*u**2/2 + 126. Let x(a) be the second derivative of q(a). Solve x(k) = 0.
-1, 1
Let n(u) be the second derivative of -u**7/4200 + u**6/300 - u**5/50 + u**4/15 + 67*u**3/3 + 32*u - 2. Let x(q) be the second derivative of n(q). Factor x(r).
-(r - 2)**3/5
Suppose 0 = -2*d + 10, 2*y + 2*y + d - 245 = 0. Suppose -3*t + y*t**4 - 5*t**4 - 30 + 20*t**5 - 125*t**2 + 158*t - 75*t**3 = 0. Calculate t.
-3, -2, 1/4, 1
Let h(t) be the third derivative of 128*t**2 + 273/2*t**4 + 5/42*t**7 - 21/4*t**6 + 0*t + 0 + 338/3*t**3 + 3709/60*t**5. Solve h(n) = 0.
-2/5, 13
Let f(a) = 2*a**2 + a - 5. Let v(i) = 24*i**2 - 17*i + 43. Let s(m) = 26*f(m) - 2*v(m). Suppose s(q) = 0. What is q?
-18, 3
Let o(r) = -45*r + 543. Let z be o(12). Let j(x) be the first derivative of 5/2*x**z + 27 - 9/4*x**2 - 11/8*x**4 + x + 3/10*x**5. Solve j(g) = 0 for g.
2/3, 1
Let m(q) be the second derivative of 19*q**7/42 - 97*q**6/30 - 47*q**5/20 + 329*q**4/12 - 112*q**3/3 + 10*q**2 + 14*q + 89. Determine p, given that m(p) = 0.
-2, 2/19, 1, 5
Let r(k) be the second derivative of k**6/6 - 11*k**5/4 + 25*k**4/6 + 60*k**3 - 3*k + 164. Find w such that r(w) = 0.
-2, 0, 4, 9
Factor -94/11*f - 2/11*f**2 - 420/11.
-2*(f + 5)*(f + 42)/11
Let s(p) = 2*p**5 - 3*p**4 + 7*p**2 - 3*p + 15. Let m(u) = 5*u**5 - 6*u**4 + 15*u**2 - 7*u + 35. Let q(t) = -3*m(t) + 7*s(t). Determine i so that q(i) = 0.
-2, 0, 1
Let k be (46/28 - (-18)/(-12))*28/80. Let s(b) be the second derivative of -1/2*b**3 + 0 + k*b**4 - 12*b - 9/5*b**2. What is q in s(q) = 0?
-1, 6
Let b be ((86 + -86)/(-1 + -1))/(1 - 0). Let y(r) be the second derivative of b + 8/3*r**3 - 32*r**2 - 1/12*r**4 - 34*r. Factor y(d).
-(d - 8)**2
Let z(g) be the first derivative of g**3/5 - 348*g**2/5 - 699*g/5 - 3914. Factor z(i).
3*(i - 233)*(i + 1)/5
Factor -7292/5*y + 324 + 9/5*y**2.
(y - 810)*(9*y - 2)/5
Let d be 36/(-312) + (-63075)/(-5850). Factor 256/3*r - 2048/9 - d*r**2 + 4/9*r**3.
4*(r - 8)**3/9
Let k(i) be the first derivative of i**7/4200 - i**6/450 + i**5/200 + 166*i**3/3 + 61. Let b(t) be the third derivative of k(t). What is v in b(v) = 0?
0, 1, 3
Let -6*y + 1/3*y**2 - 21 = 0. Calculate y.
-3, 21
Factor 192/11 - 8/11*z**2 - 2/11*z**3 + 8*z.
-2*(z - 6)*(z + 2)*(z + 8)/11
Let u(i) be the second derivative of i**6/300 + i**5/150 - i**4/10 - 6*i**2 + 6*i + 2. Let y(p) be the first derivative of u(p). Factor y(b).
2*b*(b - 2)*(b + 3)/5
Let u(b) be the second derivative of -b**6/96 - 5*b**5/48 - 35*b**4/96 - 5*b**3/8 + 33*b**2 - 77*b. Let o(a) be the first derivative of u(a). Factor o(r).
-5*(r + 1)**2*(r + 3)/4
Let c = 189905/72 + -21081/8. Factor -2/9*s**2 - 4 + c*s.
-2*(s - 9)*(s - 2)/9
Let q(v) be the third derivative of 111*v**7/35 - 1001*v**6/60 + 67*v**5/2 - 113*v**4/4 + 2*v**3/3 + 10*v**2 + 2. What is w in q(w) = 0?
2/333, 1
Let b be -13 - 30/(0 + -2). Let r(p) be the second derivative of -b*p**2 + 7*p + 0*p**3 + 1/3*p**4 + 0. Let r(q) = 0. What is q?
-1, 1
Let j(i) = -3*i - 1. Let s be j(1). Let o be (s + 2)*(11 + -19). Find k such that 4*k**3 - o*k + 2 - 2 - 40*k**2 + 28*k**2 = 0.
-1, 0, 4
Let x(q) be the first derivative of q**5/30 + 2*q**4/9 + 4*q**3/9 - 10*q - 120. Let d(o) be the first derivative of x(o). Suppose d(s) = 0. What is s?
-2, 0
Let v(b) be the third derivative of b**6/160 + 153*b**5/40 - 615*b**4/32 + 77*b**3/2 + 251*b**2 + 8*b. Find n such that v(n) = 0.
-308, 1
Let z(b) be the third derivative of b**6/720 - 61*b**5/360 - 125*b**4/144 - 7*b**3/4 + 669*b**2 + 2. What is v in z(v) = 0?
-1, 63
Let s(x) = 26*x**2 + 352*x + 1815. Let p(h) = 65*h + 353. Let d(n) = -n**2 - n - 2. Let r(t) = -5*d(t) + p(t). Let g(l) = -11*r(l) + 2*s(l). Factor g(u).
-3*(u + 11)**2
Factor 40*g + 33/2*g**2 + 0*g**3 - 225/4 - 1/4*g**4.
-(g - 9)*(g - 1)*(g + 5)**2/4
Find v such that 0*v - 2/5*v**3 - 234/5*v**2 + 0 = 0.
-117, 0
Factor 114/7*m**2 - 32/7 + 64*m.
2*(m + 4)*(57*m - 4)/7
Let h(o) be the second derivative of o**4/3 + 276*o**3 + 826*o**2 - 504*o. Factor h(c).
4*(c + 1)*(c + 413)
Let x(j) be the second derivative of -j**4/12 - 7*j**3/6 + 2*j**2 + 10*j + 1. Let d(a) = -a**2 - 8*a + 4. Let w(n) = 4*d(n) - 5*x(n). Factor w(h).
(h - 1)*(h + 4)
Let n(x) = -24*x**3 + 98*x**2 + 564*x - 704. Let j(o) = -o**3 + o**2 + o - 4. Let a(f) = 44*j(f) - 2*n(f). Factor a(m).
4*(m - 44)*(m - 1)*(m + 7)
Suppose -40*a - 8164 = -3349*a + 5072. Factor 2*d - 10*d**2 - 7/2*d**a + 0 + 23/2*d**3.
-d*(d - 2)*(d - 1)*(7*d - 2)/2
Let b(j) = 3*j**3 + 577*j**2 + 85846*j + 85264. Let x(o) = 10*o**3 + 1727*o**2 + 257537*o + 255792. Let w(a) = 7*b(a) - 2*x(a). Factor w(h).
(h + 1)*(h + 292)**2
Suppose 4*l = 5*t - 97, -2*t + 6*t = l + 16. Let g be 4/(-14) - (-2)/l*-32. Solve 1/4*o**g + 25 - 5*o = 0.
10
Let m(o) be the second derivative of -o**6/20 + 381*o**5/8 - 133551*o**4/8 + 9119169*o**3/4 + 28990791*o**2 + 6807*o - 2. Determine t, given that m(t) = 0.
-4, 213
Let w = 256236 - 256233. Find t, given that -10 - 21/2*t**2 + 19*t + 5/4*t**w + 1/4*t**4 = 0.
-10, 1, 2
Let c = -2731304/5 - -546262. Factor 0 - 1/5*x**3 - c*x**2 - x.
-x*(x + 1)*(x + 5)/5
Let h(l) = 2*l**3 + 5*l**2 - 5*l**3 - 4*l + 6*l**3 + 2*l**3. Let s(g) = -14*g**3 - 14*g**2 + 11*g. Let w(v) = 17*h(v) + 6*s(v). Solve w(n) = 0.
-2, 0, 1
Let k = -8209023/17 - -482885. Factor 0 + 2/17*l**2 - k*l.
2*l*(l - 11)/17
Find b, given that 428/9*b**3 + 21122/9*b**2 + 2/9*b**4 - 63344/3*b + 43808 = 0.
-111, 4
Let d = 1257 - 30163/24. Let w(o) be the second derivative of -8*o + d*o**3 + 3/8*o**2 + 0 - 1/80*o**5 + 1/48*o**4. Solve w(n) = 0 for n.
-1, 3
Let z(m) = 13*m**3 + 766*m**2 + 35325*m - 73725. Let j(y) = -68*y**3 - 3832*y**2 - 176624*y + 368624. Let r(h) = 3*j(h) + 16*z(h). Solve r(d) = 0.
-96, 2
Suppose 18*f + 297 = 29*f. Suppose 5*l = 3*g - 11 + f, 5*l - 8 = -g. Factor -8 + 2/3*a**3 - 16/3*a + 2/3*a**l.
2*(a - 3)*(a + 2)**2/3
Let d(k) be the second derivative of 5/6*k**3 - 1/5*k**5 + 1/6*k**4 - 1 - 2/15*k**6 + 33*k + k**2 - 1/42*k**7. Factor d(z).
-(z - 1)*(z + 1)**3*(z + 2)
Let a(h) be the second derivative of -59*h + 2/21*h**4 + 0*h**2 - 20/63*h**3 + 1 - 1/210*h**5. Factor a(y).
-2*y*(y - 10)*(y - 2)/21
Let p(l) be the third derivative of -l**7/105 + 7*l**6/6 + 36*l**5/5 + 109*l**4/6 + 73*l**3/3 - 1801*l**2. What is j in p(j) = 0?
-1, 73
Let w(q) be the second derivative of 225/13*q**3 + 1/130*q**5 + 15/26*q**4 - 1 + q + 3375/13*q**2. Factor w(j).
2*(j + 15)**3/13
Factor -55860*k - 181*k**3 - 87857 - k**4 - 15*k**3 - 10174*k**2 - 10197 + 16829.
-(k + 3)**2*(k + 95)**2
Let x = -1048/145 - -422387/48430. Let y = 1/167 + x. Let -15/2*o**3 + 3/2*o**5 - 6 + 12*o + y*o**4 - 3/2*o**2 = 0. What is o?
-2, 1
Let a be 52873216/1422080 - 4/(-202). Factor -183/5 + a*m - 3/5*m**2.
-3*(m - 61)*(m - 1)/5
Let q be ((-4)/(-110))/((-4)/(-64)) + (-2574)/14157. Factor 2/5 + 1/10*j**3 - q*j - 1/10*j**2.
(j - 2)*(j - 1)*(j + 2)/10
Let j be (5/(-3) + (-3)/(-9))*(-15)/2. Let -2/9*c**3 - 8/9 - 16/3*c - 82/9*c**2 + j*c**4 + 50/9*c**5