5*b**3/2 - 295*b**2 - b - 12. Find v such that n(v) = 0.
-118, -1, 1
Let h(i) be the third derivative of -33*i - 3/5*i**3 + 1/100*i**5 + 1/8*i**4 + i**2 + 0. Find o such that h(o) = 0.
-6, 1
Suppose 4*b = o + 6, 3*b + 5*o - 2 = 37. Let l(z) be the first derivative of 3*z**3 + 0*z**4 - 6 - b*z**2 - 3/5*z**5 + 0*z. Factor l(p).
-3*p*(p - 1)**2*(p + 2)
Let p be 0/675*(-1 + (-4)/(-2)). Let v(c) be the second derivative of -1/75*c**6 - 26*c - 11/10*c**4 - 8/3*c**3 - 1/5*c**5 + p - 16/5*c**2. Factor v(l).
-2*(l + 1)**2*(l + 4)**2/5
Let x be 22/(-6) - (-1102)/(-2030)*-7. Find c, given that 2/3*c**2 - x*c**3 - 16/15*c + 8/15 = 0.
1, 2
Let u(s) be the first derivative of s**6/39 - 16*s**5/13 + 300*s**4/13 - 8140*s**3/39 + 11495*s**2/13 - 15972*s/13 - 2474. Find q, given that u(q) = 0.
1, 6, 11
Let d = 605 - 3024/5. Let y = 5039/65 + -1000/13. Suppose 0 + y*u**2 + d*u**3 + 2/5*u = 0. What is u?
-2, -1, 0
Let v be (4/(-22))/((-792)/30492). Let f(p) be the third derivative of 0*p + 1/120*p**5 + 0*p**3 - v*p**2 + 0 + 1/16*p**4. Factor f(j).
j*(j + 3)/2
Let g be -23*3/(-12) + 5/20. Suppose -u + g*u + 3*q - 30 = 0, 5*q - 28 = -u. Suppose 8*x - 2*x**u - 3838*x**2 + 3838*x**2 = 0. Calculate x.
-2, 0, 2
Find v, given that 71*v**2 + 179/5 + 536/5*v - 2/5*v**3 = 0.
-1, -1/2, 179
Suppose 242*p + 6 = 245*p. Suppose -11*g**p + g**2 - 5*g**3 + 4*g + g**3 + 8*g**2 + 2*g**3 = 0. Calculate g.
-2, 0, 1
Let i(d) = -d**3 - 7*d**2 + 9*d + 93. Let b be (-133 + 128)*(-6)/(-5). Let n be i(b). Factor 3/2*l**2 + n - 9/2*l.
3*(l - 2)*(l - 1)/2
Solve -d**4 - 4/3*d**3 + 8/3*d**2 - 1/6*d**5 + 16/3 + 8*d = 0 for d.
-2, 2
Let 2*m**4 + 18/5 - 28/5*m**2 + 4/5*m**3 - 6/5*m + 2/5*m**5 = 0. Calculate m.
-3, -1, 1
Let z(k) = -k**2 - 562 - 31*k + 223 + 171. Let f be z(-7). Suppose 2/25*t**3 + 0*t - 4/25*t**5 + f + 2/25*t**4 + 0*t**2 = 0. Calculate t.
-1/2, 0, 1
Factor 5466*w - 795675 + w**2 - 13427*w - 4*w**2 + 4871*w.
-3*(w + 515)**2
Let g(q) be the second derivative of -q**5/35 - 32*q**4/21 - 184*q**3/7 - 1440*q**2/7 - 639*q + 2. Factor g(i).
-4*(i + 6)**2*(i + 20)/7
Let u = -288 + 290. Solve 20*n**5 + 15*n**4 - 47*n**3 + 25*n**u - 13*n**3 - 6*n**4 + 10*n - 4*n**4 = 0.
-2, -1/4, 0, 1
Let r(x) be the second derivative of -x**5/15 - 29*x**4/6 - 23*x**2/2 + 84*x. Let t(a) be the first derivative of r(a). Factor t(n).
-4*n*(n + 29)
Suppose -12 = -33*c + 35*c. Let f be -3*(-4)/c - (3 + -24). Factor -7*i**2 + 24*i**4 - 12*i**3 + 15*i**5 - f*i**2 + 6 - 3*i - 4*i**2.
3*(i - 1)*(i + 1)**3*(5*i - 2)
Let n(q) = -5*q**2 + 4*q + 39. Let d be n(-5). Let j = d - -114. Factor 11*r**3 - j*r**3 - 6*r**4 - 7*r**3.
-2*r**3*(3*r + 2)
Let u(f) be the third derivative of -3*f**5/20 + 152*f**4 - 1213*f**3/2 + 6*f**2 - 116. Factor u(q).
-3*(q - 1)*(3*q - 1213)
Find v, given that 18*v**3 - 8*v**2 - 65*v**2 - 2093*v**4 + 108*v - 52 + 2092*v**4 = 0.
1, 2, 13
Let i be (-41)/(-15) - (22 + (-2472)/120). Solve s**2 - i*s**3 + 0 + 1/3*s**4 + 0*s = 0 for s.
0, 1, 3
Let n(l) be the second derivative of l**5/60 + 28*l**4/9 + 1568*l**3/9 + 137*l - 2. Factor n(t).
t*(t + 56)**2/3
Let i(k) = -93*k**2 - 2630*k - 134. Let w(z) = -94*z**2 - 2635*z - 132. Let h(m) = -14*i(m) + 13*w(m). Factor h(p).
5*(p + 32)*(16*p + 1)
Let d(y) = y**3 - 4*y**2 - y + 247. Let l be d(0). What is s in -l*s + 40*s**2 - 5*s**3 - 232*s + 444*s = 0?
0, 1, 7
Suppose -2*o = w + 4 - 16, -3*w + 11 = o. Let q(a) be the second derivative of -14*a + 1/9*a**3 + 0*a**2 + 2/27*a**4 + 0 + 1/90*a**o. Solve q(b) = 0.
-3, -1, 0
Determine v, given that -69/4*v**2 - 36*v - 7 + 9/4*v**4 + 14*v**3 = 0.
-7, -1, -2/9, 2
Let v(m) = -8*m - m**2 - 23 + 7*m**2 + 0*m**2. Let x(l) = -194 + l**2 + 364 - 171. Let c(a) = 4*v(a) - 28*x(a). Determine f, given that c(f) = 0.
-4
Let v(j) be the first derivative of 119 + 6*j**4 + 24*j**2 - 18*j**3 - 15*j - 3/5*j**5. Factor v(y).
-3*(y - 5)*(y - 1)**3
Let p(j) be the second derivative of j**4/102 + 474*j**3/17 + 505521*j**2/17 - 759*j. Factor p(w).
2*(w + 711)**2/17
Let i(c) = 57*c**2 - 1776*c + 65697. Let a(h) = -15*h**2 + 444*h - 16424. Let k(n) = -15*a(n) - 4*i(n). Let k(w) = 0. Calculate w.
74
Let r(q) be the first derivative of -3*q**6 + 80*q**5 - 665*q**4/2 - 3340*q**3 - 4940*q**2 + 2704*q + 536. Find y such that r(y) = 0.
-2, 2/9, 13
Let q(c) be the second derivative of -c**7/42 + 4*c**6/5 + 3*c**5/2 - 32*c**4/3 + 25*c**3/2 + 3696*c. Factor q(y).
-y*(y - 25)*(y - 1)**2*(y + 3)
Let v be (38 - -2)*5/((-25)/(-18)). Let r be (-3)/(v/232) - -5. Factor 0*y**2 + 1/6*y**3 + r*y**4 + 0*y + 0.
y**3*(y + 1)/6
Suppose 0 = 2*g + 4*s - 24, g - s - 2*s - 12 = 0. Find d such that 16*d - 28 + g*d**4 + 8 - 13 - 84*d**2 + 81 + 8*d**3 = 0.
-3, -2/3, 1, 2
Let w(c) be the third derivative of -c**5/270 + 157*c**4/54 + 632*c**3/27 + 5*c**2 + c - 315. Determine d so that w(d) = 0.
-2, 316
Let u(v) be the third derivative of -v**6/420 + 3*v**5/35 - 27*v**4/28 + 4385*v**2. Factor u(b).
-2*b*(b - 9)**2/7
Let y(c) be the second derivative of -c**4/12 + 499*c**3/6 + 250*c**2 + 7608*c. What is w in y(w) = 0?
-1, 500
Let v(s) be the second derivative of 1445*s**7/42 - 17*s**6/2 - 189*s**5/4 - 245*s**4/12 - 50*s + 11. Factor v(y).
5*y**2*(y - 1)*(17*y + 7)**2
Let c(k) = -2*k**2 + k. Let f = 71 + -73. Let r(t) = t**2 + 1. Let z(j) = f*c(j) - 3*r(j). Factor z(x).
(x - 3)*(x + 1)
Let k(b) be the second derivative of b**4/18 + 2*b**3 - 448*b**2/3 - 1783*b. What is j in k(j) = 0?
-32, 14
Let x(w) be the first derivative of -2*w**5/25 + 9*w**4/5 + 206*w**3/3 + 2736*w**2/5 + 896*w - 386. Solve x(c) = 0.
-8, -1, 35
Let b be (-115 - 6)*(-1)/10. Let s = 25/2 - b. Factor 18/5*a + 8/5 + 12/5*a**2 + s*a**3.
2*(a + 1)**2*(a + 4)/5
Let r(u) be the first derivative of 5*u**3/18 + 515*u**2/2 + 159135*u/2 - 1645. Factor r(g).
5*(g + 309)**2/6
Let b(z) be the third derivative of z**8/840 + 7*z**7/75 + 691*z**6/300 + 371*z**5/30 - 1496*z**4/15 + 3388*z**3/15 - 2369*z**2. Determine n so that b(n) = 0.
-22, -7, 1
Let c(s) be the third derivative of -3*s**5/160 - 83*s**4/96 - 3*s**3/2 + 190*s**2 - 1. What is u in c(u) = 0?
-18, -4/9
Let d(i) be the third derivative of -1/50*i**5 + 1/12*i**4 + 0*i + 1/525*i**7 - 3*i**2 - 2/15*i**3 - 1/300*i**6 + 0. Factor d(h).
2*(h - 1)**3*(h + 2)/5
Let v(q) be the second derivative of -q**5/35 - 13*q**4/3 - 346*q**3/7 - 1530*q**2/7 + 20*q - 175. Suppose v(o) = 0. Calculate o.
-85, -3
Let h(k) be the first derivative of -k**6/24 + k**5/12 - k**2/2 + 2*k + 153. Let i(r) be the second derivative of h(r). Suppose i(y) = 0. What is y?
0, 1
Let h(y) be the third derivative of -y**6/600 + 29*y**5/300 - 9*y**4/20 + 35*y**2 + y + 11. Suppose h(n) = 0. What is n?
0, 2, 27
Suppose -21232 = -12*l - 21184. Let u(c) be the first derivative of 30 + 3*c**l + 3/5*c**5 + 0*c**2 + 0*c + 0*c**3. Factor u(b).
3*b**3*(b + 4)
Let u(g) = 7*g**4 - 8*g**3 - 91*g**2 - 142*g - 58. Let h(f) = -f**4 - f**3 - 2*f**2 + f - 1. Let x(c) = -2*h(c) - u(c). Factor x(i).
-5*(i - 6)*(i + 1)**2*(i + 2)
Let -14*n**4 + 1083*n**5 - 30*n**3 - 2165*n**5 + 1080*n**5 - 18*n**2 = 0. What is n?
-3, -1, 0
Let m be ((-3570)/(-8))/21 - 20. Let w(j) be the first derivative of -10/3*j**3 - 9 + 0*j**2 + j**5 - m*j**4 + 0*j. Suppose w(d) = 0. Calculate d.
-1, 0, 2
Let s(l) be the first derivative of -l**3/15 + 1571*l**2/5 - 2468041*l/5 + 2860. Factor s(w).
-(w - 1571)**2/5
Let z(a) be the third derivative of 0 + 0*a**3 - 1/45*a**5 + 0*a - 1/90*a**6 - 202*a**2 + 1/3*a**4. Suppose z(c) = 0. What is c?
-3, 0, 2
Let l = -5900 + 5906. Let s(c) be the third derivative of -1/510*c**l + 1/510*c**5 + 0*c**4 + 0*c**3 + 0 + 1/1785*c**7 + 8*c**2 + 0*c. Factor s(x).
2*x**2*(x - 1)**2/17
Let d(w) be the first derivative of -w**3/7 - 5841*w**2/7 - 11372427*w/7 - 1334. Let d(b) = 0. Calculate b.
-1947
Let b(d) be the third derivative of 0*d + 0*d**3 + 0 - 26*d**2 + 11/40*d**6 - 3/4*d**4 + 7/20*d**5 - 1/35*d**7. Factor b(n).
-3*n*(n - 6)*(n + 1)*(2*n - 1)
Let m(g) be the second derivative of 8*g - 1/32*g**4 + 0*g**2 + 5/24*g**3 - 3/80*g**5 - 1/240*g**6 + 0. Factor m(u).
-u*(u - 1)*(u + 2)*(u + 5)/8
Suppose 0 = 432*k - 434*k + 4. Factor 6*c**3 + 10*c**3 - 20*c**3 - 14*c**k + 2*c**2 - 8*c.
-4*c*(c + 1)*(c + 2)
Determine j so that 1536 - 95/3*j**3 + 8833/6*j**2 + 1/6*j**4 + 3040*j = 0.
-1, 96
Factor 882 - 483*m + 43/2*m**