Let b(o) be the first derivative of 1/10*o**5 - 24*o + 0*o**4 + 2*o**2 - o**3 + 41. Let y(u) be the first derivative of b(u). Solve y(x) = 0 for x.
-2, 1
Factor 2/11*j**2 + 0*j**3 - 2/11*j**4 + 0 + 0*j.
-2*j**2*(j - 1)*(j + 1)/11
Factor -88/15 - 2/15*i**3 + 128/15*i - 38/15*i**2.
-2*(i - 2)*(i - 1)*(i + 22)/15
Let q(l) = -8*l**3 - l**2 - 2. Let u(c) = 4*c**4 - 90*c**3 - 746*c**2 - 5240*c + 2772. Let o(y) = -28*q(y) + 2*u(y). What is t in o(t) = 0?
-10, 1/2, 14
Let x(d) be the second derivative of 33*d**5/40 - d**4/4 - 11*d**3 + 6*d**2 + 2119*d. Let x(z) = 0. Calculate z.
-2, 2/11, 2
Suppose -4*r - 8 = y + 32, -3 = -3*r. Let c(j) = 24*j**2 + 291 - 599 + 284 + 22*j. Let i(f) = -f**2 - f + 1. Let g(k) = y*i(k) - 2*c(k). What is v in g(v) = 0?
-1, 1
Let z(g) be the third derivative of g**7/630 - g**6/72 + g**5/90 + g**4/9 - 61*g**2 - 6. Let z(b) = 0. What is b?
-1, 0, 2, 4
Find j such that 52 + 2/3*j**2 - 38/3*j = 0.
6, 13
Let g(i) = -40*i**2 - 198*i - 827. Let m(k) = -66*k**2 - 396*k - 1653. Let b(l) = -10*g(l) + 6*m(l). Factor b(p).
4*(p - 103)*(p + 4)
Let o = 1027 - 9241/9. Factor 26/9*r + 0 + o*r**2.
2*r*(r + 13)/9
Let a be (-189)/315 - (-2)/4*52/40. Let t(l) be the second derivative of 1/2*l**3 + 1/2*l**2 + 1/4*l**4 + a*l**5 + 0 - 9*l. Solve t(c) = 0 for c.
-1
Suppose -21*c = 214 - 2524. Let r = 331/3 - c. Factor 2/3*b**3 + 0*b + 0 + 1/3*b**4 + r*b**2.
b**2*(b + 1)**2/3
Factor -8/7*i + 1/7*i**2 - 48/7.
(i - 12)*(i + 4)/7
Suppose -1/2*r**2 - 21 + 17/2*r = 0. Calculate r.
3, 14
Suppose 25947/2*v - 804357/2 + 1/2*v**3 - 279/2*v**2 = 0. Calculate v.
93
Let c(s) be the second derivative of -s**5/70 - 10*s**4/7 + 41*s**3/7 - 62*s**2/7 - 5693*s. What is f in c(f) = 0?
-62, 1
Solve 0 + 0*w - 11/2*w**2 + 1/2*w**4 + 5*w**3 = 0.
-11, 0, 1
Let v(x) be the first derivative of 9*x**5/5 - 255*x**4/2 + 277*x**3 - 165*x**2 - 1102. Find p, given that v(p) = 0.
0, 2/3, 1, 55
Let d(u) = 2*u**3 - 19*u**2 + 9*u + 4. Let i be d(9). Factor 6*h + 31*h**4 - 40*h**3 + 34*h - 5*h**2 - 26*h**i.
5*h*(h - 8)*(h - 1)*(h + 1)
Let p be (-2 - (-12)/2) + (-2 - 0). Let 8*r**2 - 53 - 19 - 7*r**2 + r**p = 0. Calculate r.
-6, 6
Let i(g) be the third derivative of -1/105*g**5 + 0 + 0*g - 68*g**2 - 4/21*g**3 - 1/14*g**4. Factor i(d).
-4*(d + 1)*(d + 2)/7
Suppose -3987/5*l**2 - 884/5 - 796*l - 9/5*l**3 = 0. Calculate l.
-442, -2/3, -1/3
Let c(k) = 9*k**3 + 274*k**2 - 1360*k - 485. Let s(z) = 11*z**3 + 273*z**2 - 1359*z - 485. Let p(m) = -12*c(m) + 9*s(m). Find h such that p(h) = 0.
-97, -1/3, 5
Factor -39*v - 18*v**3 - 116*v**2 + 220*v - 2*v**3 - 13*v.
-4*v*(v + 7)*(5*v - 6)
Let i = 374765 - 749523/2. Let -3/2*f**3 + 17/2*f**2 + i + 27/2*f = 0. Calculate f.
-1, -1/3, 7
Let i(d) = -471*d + 5184. Let b be i(11). Let m(t) be the second derivative of 32*t - 1/60*t**4 + 1/15*t**b + 0 + 0*t**2. Factor m(o).
-o*(o - 2)/5
Let p(v) be the second derivative of 2*v**6/105 - 9*v**5/35 - 220*v**4/21 - 6*v + 71. What is b in p(b) = 0?
-11, 0, 20
Let k be (2/(-12))/(24/(-288)*18). Let z(u) be the first derivative of 2/27*u**3 - 1/54*u**6 - 1/18*u**4 + 14 + k*u - 1/15*u**5 + 1/6*u**2. Factor z(x).
-(x - 1)*(x + 1)**4/9
Let k(s) = s**2 - 18*s + 80. Let p be k(7). Let f be -38*2/(-4)*1. Factor -5*y**p + 12*y**2 - f + 16*y**3 - 7*y**3 + 3.
4*(y - 1)*(y + 2)**2
Let f(w) be the second derivative of w**5/4 + 25*w**4 + 835*w**3/6 - 570*w**2 + 354*w + 3. Factor f(h).
5*(h - 1)*(h + 4)*(h + 57)
Let h(w) = -w**2 - 2*w + 16. Let f be h(-8). Let v be ((-2)/4)/(((-28)/f)/(-7)). Determine d so that 28*d**3 + 10*d**4 - 18*d**3 + 2*d**5 + 4*d**2 - 2*d**v = 0.
-2, -1, 0
Suppose -24 = -23*s + 15*s. Find c, given that -35*c**s - 11*c + 25 - 31*c - 43*c + 95*c**2 = 0.
5/7, 1
Suppose 202*f - 68 = 160*f + 58. Let 48/7*g - f*g**3 + 162/7*g**2 + 0 = 0. Calculate g.
-2/7, 0, 8
Let b = -69 - -74. Let y = -419 + 1261/3. What is n in -8/7*n**4 - 8/21*n**3 - 2/7*n + 2/3*n**b - 4/21 + y*n**2 = 0?
-1, -2/7, 1
Let z = -3671/24 - -460/3. Let o(d) be the first derivative of z*d**2 - 6*d + 2*d**3 - 3/16*d**4 - 34. Factor o(l).
-3*(l - 8)*(l - 1)*(l + 1)/4
Let f(j) = j**3 - 20*j**2 + 22*j - 24. Let l be f(19). Suppose 0 = -9*s + 3 + l. Factor 8/3 - 5/3*p**3 - 2*p**2 + 4/3*p - 1/3*p**s.
-(p - 1)*(p + 2)**3/3
Let g be (-21)/12 + 2 + (-504)/24444 + (-153)/(-2716). What is v in -24/7*v + g*v**4 + 24/7*v**3 - 72/7 + 10*v**2 = 0?
-6, -1, 1
Let l = 3581933/432320 + 21/61760. Factor -l*d**2 - 8*d - 2/7*d**3 + 0.
-2*d*(d + 1)*(d + 28)/7
Factor -304 - 3*r**2 + 242 + 150*r - 390 - 100.
-3*(r - 46)*(r - 4)
Let k(a) be the first derivative of 235*a**3/3 + 234*a**2 - 4*a + 157. Determine y so that k(y) = 0.
-2, 2/235
Let x(q) be the third derivative of q**7/525 - 13*q**6/100 + 12*q**5/5 + 20*q**4/3 - 1979*q**2. Suppose x(j) = 0. Calculate j.
-1, 0, 20
Let v(y) = -y**2 - 2*y - 2. Let i be v(5). Let o = i - -41. Determine q so that 3*q**3 + 4*q**2 - 3*q - 3*q**o + 0*q**4 + 5*q**2 - 6*q**2 = 0.
-1, 0, 1
Let a = -251 - -470. Let i = 219 - a. Factor -1/2*p + i*p**2 + 1/6*p**3 + 1/3.
(p - 1)**2*(p + 2)/6
Let h(p) be the third derivative of -p**6/180 + 4*p**5/45 + 23*p**4/36 - 10*p**3/3 + 1023*p**2. Factor h(i).
-2*(i - 10)*(i - 1)*(i + 3)/3
Let a(o) be the second derivative of 27/16*o**4 - 74 - 2*o - 15/16*o**5 - 5/4*o**3 + 0*o**2 - 1/56*o**7 + 9/40*o**6. Let a(j) = 0. What is j?
0, 1, 2, 5
Let v(h) be the second derivative of 1/42*h**4 + 0 - 97*h - 8/7*h**2 + 1/3*h**3. Factor v(n).
2*(n - 1)*(n + 8)/7
Let x(g) be the third derivative of g**7/14 + 47*g**6/24 + 39*g**5/2 + 485*g**4/6 + 140*g**3 - 1133*g**2. Let x(w) = 0. What is w?
-7, -6, -2, -2/3
Let p(c) be the first derivative of -c**3/18 - 3*c**2/2 - 27*c/2 - 2424. Factor p(h).
-(h + 9)**2/6
Let a = 9593 + -9591. Let w(u) be the first derivative of 23 + 2187/4*u + 135/2*u**3 - 1/8*u**6 - 285/8*u**4 + 3645/8*u**a + 15/4*u**5. Factor w(z).
-3*(z - 9)**3*(z + 1)**2/4
Let c(x) = -2*x**3 + 171*x**2 - 583*x + 561. Let t(f) = -f**3 + 114*f**2 - 389*f + 375. Let v(r) = 5*c(r) - 7*t(r). Find h such that v(h) = 0.
2, 15
Let h(d) be the second derivative of -d**7/98 + 33*d**6/70 - 381*d**5/70 + 41*d**4/2 - 513*d**3/14 + 69*d**2/2 - 220*d + 2. What is i in h(i) = 0?
1, 7, 23
Suppose 3*m + 71 - 80 = v, -4*v = -2*m - 4. Let u(i) = i**3 - 2*i**2 - i - 3. Let f be u(3). Determine g, given that -32/3*g**2 - 4/9 + m*g + 64/9*g**f = 0.
1/4, 1
Let y(x) be the first derivative of 1/36*x**6 + 11 + 1/9*x**3 + 11/72*x**4 + 3*x**2 + 19/180*x**5 + 0*x. Let h(f) be the second derivative of y(f). Factor h(g).
(g + 1)*(2*g + 1)*(5*g + 2)/3
Let o(h) be the second derivative of 1/20*h**4 + 4*h - 1/50*h**6 + 9/100*h**5 + 5 + 0*h**2 - 3/10*h**3. What is r in o(r) = 0?
-1, 0, 1, 3
Let o(z) = 5*z**3 + 7*z**2 + 19*z - 7. Let d be o(-5). Let x be (d/306)/(-4) + (-18)/153. Factor -4/3*r + 1 + x*r**2.
(r - 3)*(r - 1)/3
Let s(z) be the second derivative of -2*z**6/25 + 9*z**5/100 + 37*z**4/20 - 27*z**3/10 - 27*z**2/10 - 316*z + 1. Find w such that s(w) = 0.
-3, -1/4, 1, 3
Let j = 1434 - 1394. Let l(o) be the first derivative of 20 - 5/4*o**4 - 30*o**2 - j*o - 10*o**3. Factor l(d).
-5*(d + 2)**3
Suppose 23*h + 13 - 82 = 0. Determine m, given that 30*m + 2*m**4 - h*m**2 - m**3 - 4*m**4 - 5*m**5 - 24*m**3 - 22*m**2 + 27*m**4 = 0.
-1, 0, 1, 2, 3
Let u(t) be the first derivative of -19*t**4/4 + 188*t**3/3 - 379*t**2/2 - 42*t + 43. Factor u(l).
-(l - 7)*(l - 3)*(19*l + 2)
Let r = 313 - 297. What is n in -r*n**2 + 80*n + 127 + 21*n**2 + 193 = 0?
-8
Let t be ((-178)/3)/(9*12/162). Let v be (-3)/567*-18 - t/21. Find r such that -4/9*r**5 + 7/9*r**3 + 1 + 43/9*r**2 - 16/9*r**4 - v*r = 0.
-3, 1/2, 1
Let d = 2596 - 38906/15. Let w = d + 32/5. Let 6*c**2 + w*c**4 + 4/3*c - 16*c**3 + 0 = 0. Calculate c.
-2/13, 0, 1
Let n = 246 - -42. Let m = n + -1436/5. Let -2/5*q + 2/5*q**2 - m = 0. Calculate q.
-1, 2
Let j(l) be the first derivative of l**6/42 + 12*l**5/35 + 43*l**4/28 + 20*l**3/7 + 2*l**2 + 6004. Solve j(h) = 0.
-7, -2, -1, 0
Let t(n) be the first derivative of n**4/12 - 3*n**3 + 16*n**2 + 1280*n/3 - 1117. Factor t(o).
(o - 16)**2*(o + 5)/3
Let o(a) be the third derivative of -21*a - 8/13*a**3 - 3*a**2 - 1/390*a**5 + 0 - 5/78*a**4. Factor o(l).
-2*(l + 4)*(l + 6)/13
Let c(f) be the third derivative of f**6/660 - 453*f**5/110 + 38420*f**4/11 + 46