 derivative of 38 + 1/12*v**3 - 3/2*v**2 - 45/4*v. Determine o, given that t(o) = 0.
-3, 15
Suppose 0 = -0*l - l - b + 44, 2*b = 10. Factor 540*h + 354*h**2 + 60*h**3 + 50 + l + 3*h**4 + 24 + 130.
3*(h + 1)**2*(h + 9)**2
Let n = 1183417/262982 - -1/131491. Factor 0 + 3/8*z**3 - n*z - 3/8*z**2.
3*z*(z - 4)*(z + 3)/8
Let s(b) = -2*b**2 - 21*b + 87. Let i be s(-15). Let a be (32/12)/1*(-8)/i. Factor -10/9*v**2 + a*v - 2/9*v**5 + 2/9*v**4 + 0 + 2/3*v**3.
-2*v*(v - 1)**3*(v + 2)/9
Let c = -1609341/5 + 321869. Factor 2/5*v**4 + 0*v**3 - 6/5*v**2 + 0 + c*v.
2*v*(v - 1)**2*(v + 2)/5
What is u in -488/11*u - 260/11*u**4 + 62*u**3 + 112/11 - 50/11*u**5 + 292/11*u**2 = 0?
-7, -1, 2/5, 2
Let f(h) = h**2 + 30*h + 129. Let l be f(-5). Solve -95*q**2 + 8*q - 18*q - 5*q**l + 55*q + 55*q**3 = 0.
0, 1, 9
Let h(k) be the first derivative of k**3/21 - 599*k**2/14 - 600*k/7 - 2287. Factor h(i).
(i - 600)*(i + 1)/7
Let o = 37 + -37. Suppose 4*b - 21 = -5*y, y + b - 4 + 0 = o. Solve 40 + 4*j**2 - 2*j**4 - 3*j**5 + 2*j**y + j**3 - 42 - j + j**3 = 0.
-2, -1, 1
Let r(u) be the second derivative of -u**5/20 + 19*u**4/6 + u**3/6 - 19*u**2 + 889*u. Factor r(g).
-(g - 38)*(g - 1)*(g + 1)
Let k(j) be the second derivative of 0*j**4 + 0 + 1/42*j**7 + 7/30*j**6 + 0*j**2 - 101*j + 0*j**3 + 3/10*j**5. Solve k(l) = 0 for l.
-6, -1, 0
Let n(j) = 8*j**2 - 18996*j + 18898. Let d(x) = -2*x**2 + 6328*x - 6299. Let f(o) = 10*d(o) + 3*n(o). Solve f(y) = 0 for y.
-1574, 1
Factor 2/23*l**4 + 0*l**3 - 42/23*l**2 - 40/23*l + 0.
2*l*(l - 5)*(l + 1)*(l + 4)/23
Let n(p) be the second derivative of 7/3*p**4 - 76*p**3 + 0 + 50*p + 64*p**2. Factor n(b).
4*(b - 16)*(7*b - 2)
Let f(j) be the first derivative of -6*j**3/11 - 289*j**2/11 - 64*j/11 + 2728. Factor f(o).
-2*(o + 32)*(9*o + 1)/11
Let y be (-6912)/(-3240) + (-5)/(-15)*-4. Determine l, given that y*l**2 + 6/5*l - 4/5 = 0.
-2, 1/2
Let s(h) = -29*h**2 + 88*h. Let m be s(3). Let z(i) be the second derivative of 0*i**m + 0 - 21*i + 1/15*i**4 - 2/5*i**2. Let z(k) = 0. Calculate k.
-1, 1
Let n(c) be the third derivative of 2*c**7/525 + c**6/6 - 58*c**2 - 7. Suppose n(p) = 0. What is p?
-25, 0
Suppose 2*k + n = k - 3, 2*n + 2 = 0. Let w be -5 + (-6 - (-17 - k)). Find z, given that -5/3*z**5 + 5*z - 5*z**w - 10/3*z**3 + 5/3 + 10/3*z**2 = 0.
-1, 1
Let r(m) be the first derivative of -149 - 43/4*m**3 - 135/16*m**4 - 1/8*m**6 - 21/4*m**2 - 51/20*m**5 + 0*m. Suppose r(z) = 0. What is z?
-14, -1, 0
Let s = 47031/37660 - -11/9415. Solve -s*w**2 + 1/4*w**3 + w + 0 = 0.
0, 1, 4
Let s be (-7704)/17334 + 12*(-1)/((-54)/8). Factor -14/3*o + 2/3*o**4 + 6*o**2 - 10/3*o**3 + s.
2*(o - 2)*(o - 1)**3/3
Let r(l) be the third derivative of 12*l**2 + 5/27*l**3 - 1/27*l**4 + 0*l - 1/270*l**5 + 0. Factor r(u).
-2*(u - 1)*(u + 5)/9
Let d(u) be the first derivative of -34/3*u - 12*u**3 + 52/3*u**2 - 3 - 2/15*u**5 + 10/3*u**4. Let d(n) = 0. Calculate n.
1, 17
Determine q, given that -89/5*q**2 - 1/10*q**3 + 36*q + 0 = 0.
-180, 0, 2
Let -74/3*t + 395/3 - 1/3*t**2 = 0. Calculate t.
-79, 5
Let h = -54216 - -921696/17. Determine q, given that 8/17*q**3 + 18/17 + 2/17*q**4 - 4/17*q**2 - h*q = 0.
-3, 1
Let b = 10369/82830 - -45/5522. Factor -22/15*r + 8/15 - b*r**3 - 2/15*r**4 + 6/5*r**2.
-2*(r - 1)**3*(r + 4)/15
Let y(k) = -14*k**3 - 4249*k**2 - 1132045*k - 3358097. Let n(f) = -2*f**3 - f**2 + 3*f - 1. Let a(l) = -5*n(l) + y(l). Factor a(p).
-4*(p + 3)*(p + 529)**2
Let q = 3188906/5 - 637780. Factor -9/5*y - 2/5 + y**3 + q*y**2.
(y - 1)*(y + 2)*(5*y + 1)/5
Solve -67/3*n**2 - 1/3*n**3 - 1216/3*n - 1024 = 0.
-32, -3
Let q(y) = 14*y**2 + 386*y - 2434. Let u(g) = -3*g**2 - 77*g + 488. Let j(o) = 2*q(o) + 11*u(o). Factor j(d).
-5*(d - 5)*(d + 20)
Factor 44/7*p - 2/7*p**2 - 32.
-2*(p - 14)*(p - 8)/7
Suppose 2 = q + c, -12*c + 10*c = 4*q - 4. Let k be 1/((-14)/(-6))*5. Factor k*b**3 - 12/7*b**4 - 3/7*b**2 + q + 0*b.
-3*b**2*(b - 1)*(4*b - 1)/7
Let n = 4318256/370137 + 3/123379. Factor -96*k - 108 - 1/3*k**3 + n*k**2.
-(k - 18)**2*(k + 1)/3
Suppose -47*r - 55*r + 96*r = -78. Let b(w) be the second derivative of 0 - 1/96*w**4 + 0*w**3 - r*w + 1/4*w**2. Suppose b(d) = 0. Calculate d.
-2, 2
Let j(m) = -2*m**5 + 64*m**4 - 202*m**3 - 5120*m**2 - 12855*m. Let v(l) = 2*l**3 + 11*l. Let z(k) = -j(k) - 5*v(k). Factor z(u).
2*u*(u - 20)**2*(u + 4)**2
Let n(l) be the first derivative of -25/4*l**2 - 1/10*l**5 - 9/2*l**3 - 4*l - 102 - 11/8*l**4. Factor n(s).
-(s + 1)**3*(s + 8)/2
Let y(n) = 197*n + 7094. Let l be y(-36). Factor 0 + 4/7*j**l + 30/7*j - 2/7*j**3.
-2*j*(j - 5)*(j + 3)/7
Let n(w) be the first derivative of w**4/7 - 428*w**3/7 + 3856. Let n(z) = 0. What is z?
0, 321
Let h(c) = c**2 + 751*c + 5944. Let y be h(-8). Let q(w) be the third derivative of 0*w - 3/7*w**4 + y + 46*w**2 - 54/7*w**3 - 1/105*w**5. Solve q(f) = 0 for f.
-9
Let n(d) be the second derivative of d**7/105 - 36*d**6/25 + 1346*d**5/25 + 2016*d**4/5 + 12544*d**3/15 + 2*d - 2793. Factor n(u).
2*u*(u - 56)**2*(u + 2)**2/5
Let 18/5*d**2 - 4/5*d - 16/5 + 4/5*d**3 - 2/5*d**4 = 0. What is d?
-2, -1, 1, 4
Factor -v - v - 124687*v**2 + v - 3*v - 448 + 124689*v**2.
2*(v - 16)*(v + 14)
Let g(z) be the first derivative of -121*z**5 - 16005*z**4/2 + 11820*z**3 - 4860*z**2 + 8400. Factor g(f).
-5*f*(f + 54)*(11*f - 6)**2
Let m(f) = 8*f**2 + 2*f - 2. Let l(g) = 15*g**2 + 3*g - 4. Let w(s) = -3*l(s) + 5*m(s). Let p(y) = -4*y**2 + 1. Let i(c) = 4*p(c) - 3*w(c). Factor i(z).
-(z + 1)*(z + 2)
Let k(n) be the third derivative of -n**6/240 - 8*n**5/15 - 221*n**4/12 + 1156*n**3/3 + 645*n**2. Factor k(w).
-(w - 4)*(w + 34)**2/2
Let f(y) be the first derivative of 10*y**3 - 125*y**2/2 - 980*y + 590. Suppose f(j) = 0. Calculate j.
-4, 49/6
Let a be (-11 - 3/(-1)) + -15*2/(-3). Factor -16/9*n - 2/9*n**3 - 14/9*n**a + 32/9.
-2*(n - 1)*(n + 4)**2/9
Let j(p) = -p - 14. Let g be j(-19). Suppose -3*x - 4 = -g*x. Factor -14*c + 2*c**3 + c**3 + 12*c - c**5 - c**4 + c**x.
-c*(c - 1)**2*(c + 1)*(c + 2)
Let t(m) be the second derivative of -m**4/6 + 11*m**3 + 190*m**2 + m - 667. Factor t(o).
-2*(o - 38)*(o + 5)
What is t in -606362*t + 176418 + 605174*t - 5*t**2 + 7*t**2 = 0?
297
Let i be (3 + (-1 - -2))*-1. Let u = i + 12. Let -u - 3*l + 27*l - 132*l**2 + 146*l**2 = 0. Calculate l.
-2, 2/7
Let s be (((-4)/(-6))/((-168)/(-15246)))/2. Let z be ((-3)/6)/((-7)/77). Factor s + 1/4*b**2 - z*b.
(b - 11)**2/4
Let t = -501 - -503. Suppose -4*d + 2 = -10. Factor -15*k**4 - k**2 + k**t - 12*k**5 - d*k**3.
-3*k**3*(k + 1)*(4*k + 1)
Let x be (216/(-945))/(1 + -4 - -2). Let j(u) be the first derivative of -5/42*u**6 - 2/21*u**3 - 1/28*u**4 + 0*u + 3 + x*u**5 + 0*u**2. Solve j(b) = 0.
-2/5, 0, 1
Suppose 80/3 + 28/3*l + 2/3*l**2 = 0. Calculate l.
-10, -4
Suppose t - 5*u - 14 = 10, 2*t + 8 = -4*u. Let a be 10/(-2 + 4) - 14/7. Suppose w**2 - t*w + 0*w + 4*w + w**a = 0. Calculate w.
-1, 0
What is f in -1040*f - 113/3*f**3 - 2449/3*f**2 + 109/3*f**4 - 300 - 7/3*f**5 = 0?
-3, -1, -3/7, 10
What is x in 64 + 14/9*x**4 - 296/9*x**2 + 112/3*x - 44/9*x**3 + 2/9*x**5 = 0?
-6, -1, 2, 4
Determine x so that -174721/4*x**2 - 1225/4 + 14665/2*x - 2514*x**3 - 36*x**4 = 0.
-35, 1/12
Let w(s) be the first derivative of 143 + 1/21*s**3 + 343*s - 7*s**2. Factor w(y).
(y - 49)**2/7
Let b = -3974 + 3976. Let v(o) be the first derivative of -16/9*o - 1/18*o**4 - 4/9*o**3 - 4 - 4/3*o**b. Factor v(u).
-2*(u + 2)**3/9
Let z(t) be the third derivative of t**9/15120 + t**8/700 - 13*t**7/4200 - 37*t**3/6 + 3*t**2. Let g(m) be the first derivative of z(m). Factor g(b).
b**3*(b - 1)*(b + 13)/5
Suppose 2*h = -2*n - 2*h + 28, -3*n + 5*h = 13. Let l be n/6 + ((-30)/(-9) - -4). Let l*d - 172*d**3 + 2*d**5 + 0*d**5 + 162*d**3 = 0. Calculate d.
-2, -1, 0, 1, 2
Suppose -2*k - 14 = -5*n, -4*n - 864 = 16*k - 840. Factor -7/3*p - 8/3*p**n - 1/3*p**3 + 0.
-p*(p + 1)*(p + 7)/3
Let a = -980537/66 + 14857. Let w = a - -5/66. Find z, given that -2/11*z + 0 - w*z**2 + 18/11*z**3 = 0.
-2/9, 0, 1/2
Let a(s) be the third derivative of -7*s**4/6 - 27*s**3/2 + 6*s**2. Let l be a(-3). Determine i so that 4/5*i - 4/5 - 4/5*i**l + 4/5*i**2 = 0.
-1, 1
Let t be ((-10)/(-6))/((-3080)/84 - -37). Let n(c) be the first derivative of 25/3*c**3 + c**5 - 13 - t*c**4 + 0*c - 5*c**2. Solve n(j) = 0 for j.
0, 1, 2
Let c(m) be the