5*d**2 - 149*d - 7. Let m(y) = 0. Calculate y.
-15, -7, -3
Let c(t) be the second derivative of 1/90*t**5 + 0*t**3 - 1/54*t**4 + 7*t + 0*t**2 + 1/135*t**6 - 4 - 1/189*t**7. Factor c(f).
-2*f**2*(f - 1)**2*(f + 1)/9
Let t be (-29 - (-160 + 116))*(7/(-30) + 1/3). Factor -5/2*i**3 + 16*i + 6 + t*i**2.
-(i - 3)*(i + 2)*(5*i + 2)/2
Let n = 3192655/3 + -1064201. Find c such that -2/3*c**2 - n*c - 32 = 0.
-24, -2
Let n(r) be the first derivative of 2*r**3/3 - 5*r**2 - 208*r + 1880. Suppose n(u) = 0. Calculate u.
-8, 13
Determine i, given that -164/5*i + 2/15*i**2 - 494/15 = 0.
-1, 247
Let b(y) = 57*y**2 + 687*y - 27. Let h(m) = -17*m**2 - 205*m + 8. Let r(s) = 8*b(s) + 27*h(s). Determine q so that r(q) = 0.
-13, 0
Let m(a) be the third derivative of a**5/20 - 281*a**4/16 + 35*a**3 - 3798*a**2. What is x in m(x) = 0?
1/2, 140
Let i(b) = b**2 + 18*b + 8. Suppose 5 = -9*q + 32. Let d(h) be the third derivative of -h**4/4 - h**3/2 - 7*h**2. Let x(l) = q*i(l) + 8*d(l). Factor x(o).
3*o*(o + 2)
Let j be 144/(-42) - (-40293)/5082. Factor 0 - 21/4*h**2 + j*h + 3/4*h**3.
3*h*(h - 6)*(h - 1)/4
Let m(b) be the second derivative of b**8/6720 - b**7/840 + b**6/360 + 89*b**3/6 + 32*b. Let u(o) be the second derivative of m(o). Factor u(f).
f**2*(f - 2)**2/4
Suppose -72 = 20*u - 432. Let x = -31 + 34. Solve u - 9*a + 7*a**2 - 5*a**2 - x*a = 0 for a.
3
Let w be 4/(-14) + 2/7. Factor 2*k - 13*k - 8 + w*k**2 + 3*k + 2*k + 2*k**2.
2*(k - 4)*(k + 1)
Let b(l) be the second derivative of -3695*l**4/4 + 5*l**3/3 - 198*l - 3. Factor b(y).
-5*y*(2217*y - 2)
Let f be (46/88 - 405/17820) + 14/4. Factor -1/2*x**f - 13/2*x - 7/2*x**3 - 2 - 15/2*x**2.
-(x + 1)**3*(x + 4)/2
Let y(u) be the third derivative of -u**6/40 + 161*u**5/5 + 1291*u**4/8 + 323*u**3 - 1024*u**2 + 8*u. Solve y(c) = 0 for c.
-1, 646
Let a(t) be the first derivative of t**6/4 + 3*t**5/4 - 15*t**4/16 - 5*t**3/4 + 9*t**2/8 + 1375. Let a(f) = 0. What is f?
-3, -1, 0, 1/2, 1
Factor -730/13*i**2 + 2/13*i**3 + 724/13*i + 112.
2*(i - 364)*(i - 2)*(i + 1)/13
Suppose 0 = -4*h - 5*m + 94, 3143*m + 32 = 3*h + 3144*m. What is q in -3/2*q**5 + 15/2*q**4 - 3/2*q**2 - 21/2*q**3 - h + 12*q = 0?
-1, 1, 2
What is s in -102*s + 2539*s**2 - 336 - 2540*s**2 + 136 = 0?
-100, -2
Factor 2/5*f**4 + 2*f**2 - 76/5*f + 48/5 + 16/5*f**3.
2*(f - 1)**2*(f + 4)*(f + 6)/5
Let j be (104 + -2)/(((-5)/1)/(-5)). Factor -103*r**2 + j*r**2 - 1 + 11*r + 5*r - 14*r.
-(r - 1)**2
Let z(p) be the third derivative of -p**6/320 + p**5/60 + 23*p**4/192 - 7*p**3/12 - 3992*p**2. Suppose z(b) = 0. Calculate b.
-7/3, 1, 4
Let o(x) be the first derivative of x**6/21 + 764*x**5/35 + 18806*x**4/7 + 433168*x**3/21 + 427136*x**2/7 + 565504*x/7 + 1473. Factor o(k).
2*(k + 2)**3*(k + 188)**2/7
Let s(f) be the second derivative of 3*f**4/28 + 863*f**3/21 - 192*f**2/7 + 348*f. Factor s(t).
(t + 192)*(9*t - 2)/7
Let p(v) = v**3 + 3*v**2 + 254*v + 1338. Let a be p(-5). Determine j so that -9/2*j**3 - 15/2*j**4 + a*j**2 - 6*j + 0 = 0.
-2, 0, 2/5, 1
Let m(u) be the first derivative of -u**6/12 - 9*u**5/10 - 27*u**4/8 - 31*u**3/6 - 3*u**2 - 6151. Find q, given that m(q) = 0.
-4, -3, -1, 0
Let h(u) be the second derivative of -1/20*u**4 - 11/5*u**3 + 0 + 0*u**2 - 71*u. Factor h(c).
-3*c*(c + 22)/5
Let h(f) be the third derivative of 9/16*f**3 + 0*f - 67*f**2 + 1/160*f**5 - 3/32*f**4 + 0. Factor h(b).
3*(b - 3)**2/8
Let i = -651 - -654. Factor -354*a**3 + 351*a**i + 14*a - 41*a - 42*a**2 - 44*a - 76*a.
-3*a*(a + 7)**2
Let q be 54/(-14)*(3648/144)/(-19). Determine d so that q*d**2 + 0 + 8/7*d = 0.
-2/9, 0
Determine q, given that -2320/3 - 2/3*q**2 - 388*q = 0.
-580, -2
Factor -864 + 48*l - 2/3*l**2.
-2*(l - 36)**2/3
Let z be 680/35 + -2 + -18 + -1 + 234/42. Factor -2/3*t**3 + 2/9*t**z - 2/3*t**2 + 4/3 + 14/9*t.
2*(t - 3)*(t - 2)*(t + 1)**2/9
Let r(v) be the third derivative of 2*v**7/315 - v**6/30 + 2*v**5/45 - 860*v**2. Factor r(n).
4*n**2*(n - 2)*(n - 1)/3
Let x(h) be the first derivative of 4*h**3/27 - 86*h**2/3 + 1093. Factor x(i).
4*i*(i - 129)/9
Let r be (-360)/(-2016)*((-32)/5 + 8). Suppose r*c**3 + 2/7*c**4 + 0*c**2 + 0 + 0*c = 0. What is c?
-1, 0
Let h(j) = 5*j + 1. Let m(l) = l + 1. Let f(t) = -h(t) + 6*m(t). Let d be f(-2). Factor 2*z**3 + z**4 - 3*z + z**d - 19*z**2 - 2 + 20*z**2.
(z - 1)*(z + 1)**2*(z + 2)
Let u(p) be the second derivative of 17*p**6/10 + 507*p**5/20 - 209*p**4/2 + 12*p**3 - 8935*p. Solve u(f) = 0.
-12, 0, 1/17, 2
Let y(g) = -g**2 + 46*g - 13. Let k be y(27). Determine s, given that -5*s - 271*s**3 - k*s**2 + 525*s**4 - 115*s - 125*s**5 + 11*s**3 - 10*s**3 = 0.
-2/5, 0, 2, 3
Let x(o) be the second derivative of -o**5/40 - 193*o**4/24 - 95*o**3/6 + 96*o**2 + 3530*o. Determine q, given that x(q) = 0.
-192, -2, 1
Suppose 18*x - 180 = 13*x. Factor 22*y - x*y**3 - 328*y + 216 + 159*y**2 - 10*y**4 + 13*y**4.
3*(y - 4)*(y - 3)**2*(y - 2)
Suppose -553*c**2 - 3*c**3 + 233*c**2 + 248*c**2 - 69*c = 0. What is c?
-23, -1, 0
Suppose -5*r - 11 = 2*o, -4*o - 195 = 5*r - 158. Factor 270/7 + 12/7*x**2 + 3/7*x**r - 153/7*x.
3*(x - 3)**2*(x + 10)/7
Let f(k) = k**3 + 7*k - 1. Let p(u) = -5*u**4 - 45*u**3 + 360*u**2 - 105*u + 15. Let z(l) = 15*f(l) + p(l). Factor z(n).
-5*n**2*(n - 6)*(n + 12)
Factor 824*p**3 - 571*p + 38*p**4 - 7*p**2 - 253*p - 76*p**4 + 3*p**2 + 42*p**4.
4*p*(p - 1)*(p + 1)*(p + 206)
Let u(f) be the first derivative of 0*f**4 + 44 + 0*f + 1/80*f**6 + 1/8*f**5 + 0*f**3 + 5*f**2. Let l(d) be the second derivative of u(d). Factor l(v).
3*v**2*(v + 5)/2
Let h be 0/((-2360)/708*(-18)/10). Solve 1/5*u**4 + h - 4/5*u**2 + 4/5*u - 1/5*u**3 = 0 for u.
-2, 0, 1, 2
Let o(w) = w**2 - w + 17. Let g(q) = -6*q**2 - 608*q + 272. Let t(i) = -g(i) - 2*o(i). Find v such that t(v) = 0.
-153, 1/2
Let x be (-79 - -183)*(-1)/(-2). Find a such that 55*a**3 + 170*a**2 + x + 62 - 154 + 125*a + 50 = 0.
-2, -1, -1/11
Factor 10*c**2 + 2928*c - 972*c - 119669 - 119452 - 14*c**2.
-(2*c - 489)**2
Let b(g) be the second derivative of -g**5/120 + 25*g**3/12 - 125*g**2/6 - g - 260. Factor b(i).
-(i - 5)**2*(i + 10)/6
Let b = -111575 + 111578. Factor 1/4*z**2 - 1/4*z**b + 0 + 1/2*z.
-z*(z - 2)*(z + 1)/4
Let a = 105316 - 105312. Factor a + 1/2*d**3 - 2*d - d**2.
(d - 2)**2*(d + 2)/2
Suppose 11*r - 86 = 574. Suppose 30*w = -0*w + r. Let -18/11 - 6/11*k + 10/11*k**w - 2/11*k**3 = 0. What is k?
-1, 3
Suppose 0*c - 25*c = -12 - 113. Let y(h) be the first derivative of -38/9*h**3 - 19/9*h**2 - 4/9*h - 28/9*h**4 - 32/45*h**c + 3. Let y(j) = 0. Calculate j.
-2, -1, -1/4
Let k(v) be the third derivative of -50*v**2 + 0 + 1/60*v**6 - v + 0*v**3 - 1/315*v**7 + 4/15*v**5 + 7/9*v**4. Factor k(z).
-2*z*(z - 7)*(z + 2)**2/3
Suppose -4*s + 6 = 3*j, 6*s = 3*s + j + 11. Let l(c) be the second derivative of 5/2*c**2 + 0 - 3*c + 5/12*c**4 + 5/3*c**s. Factor l(a).
5*(a + 1)**2
Let i(k) be the second derivative of -k**5/60 + 4*k**4/9 + 2*k**3/9 - 32*k**2/3 - 137*k - 2. Determine p, given that i(p) = 0.
-2, 2, 16
Let a = 175024 - 175024. What is b in 13/2*b**4 - 6*b - 13/2*b**3 - 26*b**2 + 2*b**5 + a = 0?
-3, -2, -1/4, 0, 2
Find v such that 10592*v - 16395848 - 1276152 - 5*v**2 + 8208*v + 0*v**2 = 0.
1880
Factor -2/7*n + 2/7*n**3 + 18/7*n**2 - 18/7.
2*(n - 1)*(n + 1)*(n + 9)/7
Let u(i) be the second derivative of i**6/18 - 109*i**5/30 + 1207*i**4/36 + 259*i**3/9 + 1468*i. What is w in u(w) = 0?
-2/5, 0, 7, 37
Let a**3 + a - 2*a + 3*a**2 + 10*a + a**2 + 2*a**2 = 0. What is a?
-3, 0
Factor 2716/9*b + 2/9*b**2 + 0.
2*b*(b + 1358)/9
Determine k, given that -1/5*k**4 + 4*k**2 + 0 + 1/5*k**3 + 0*k = 0.
-4, 0, 5
Suppose -39 = 47*x - 462. Suppose 3 = 4*l + 2*g - x, 4*l - 8 = -4*g. Factor 2/3*s**2 - 2/3*s**5 + 2/3*s**3 - 2/3*s**l + 0 + 0*s.
-2*s**2*(s - 1)*(s + 1)**2/3
Let c(j) be the first derivative of -1/12*j**5 - 16 - 5/12*j**4 + 0*j**3 + 0*j - 9/2*j**2. Let q(f) be the second derivative of c(f). Find w such that q(w) = 0.
-2, 0
Let f(b) be the second derivative of 17/63*b**3 + 0 - 55*b - 8/21*b**2 - 1/63*b**4. Factor f(y).
-2*(y - 8)*(2*y - 1)/21
Let n(l) be the second derivative of -3*l**5/100 + 5*l**4/2 - 49*l**3/10 + 1100*l. Solve n(r) = 0 for r.
0, 1, 49
Let n(r) be the first derivative of -2*r**5/25 + 6*r**4/5 - 74*r**3/15 + 42*r**2/5 - 32*r/5 + 1122. Let n(x) = 0. What is x?
1, 2, 8
Let d(c) = c**3 + 