16*v**w + 2 + 22*v - 4*v**s.
-4*(v - 3)*(v - 2)*(v + 1)
Let k(u) = 69*u**3 + 389*u**2 + 4783*u + 16072. Let x(t) = -220*t**3 - 1168*t**2 - 14348*t - 48216. Let r(g) = -16*k(g) - 5*x(g). Solve r(y) = 0 for y.
-82, -7
Let f be (11 - (-387)/(-36))/(-8*16/(-1536)). Factor 1222/7*c**2 - 430/7*c**f - 1/7*c**5 + 37/7*c**4 + 3887/7*c + 2197/7.
-(c - 13)**3*(c + 1)**2/7
Let i = 54 + -51. Suppose -i*w + 3*n - 4 = 5, -4*w - 3*n + 23 = 0. Let s**2 + s**2 + 10*s - 5*s**w - 2*s**2 + 40 = 0. Calculate s.
-2, 4
Let z(b) be the first derivative of 4/45*b**5 - 1/27*b**6 + 52 - 1/18*b**4 + 0*b + 0*b**2 + 0*b**3. Let z(x) = 0. Calculate x.
0, 1
Let g(n) be the first derivative of -189/2*n**4 - 55 - 109*n**3 - 54*n**2 - 147/5*n**5 - 12*n. Suppose g(r) = 0. Calculate r.
-1, -2/7
Let b(p) be the third derivative of -2*p**5/45 + 17*p**4/144 - p**3/36 - 147*p**2. Factor b(i).
-(i - 1)*(16*i - 1)/6
Let c(r) be the third derivative of -r**7/42 + r**6/6 + 5*r**5/4 - 15*r**4/4 + 9048*r**2. Determine h so that c(h) = 0.
-3, 0, 1, 6
Factor -16/3*h**2 + 5492*h + 4120/3.
-4*(h - 1030)*(4*h + 1)/3
Let w(z) be the first derivative of z**3/3 - z**2 + 89. Let o(p) = 19*p + 16. Let n(k) = o(k) + w(k). Suppose n(v) = 0. What is v?
-16, -1
Factor -1/5*w**3 + 0 - 224/5*w + 114/5*w**2.
-w*(w - 112)*(w - 2)/5
Let u = -423 + 575. Factor -174*a**2 - 21*a - 17*a**3 - u - 164*a + 2*a**4 + 3*a**3 - 14*a**3 - 111*a.
2*(a - 19)*(a + 1)*(a + 2)**2
Suppose 0 = 12*h - 742 + 694. Let x(m) be the third derivative of -1/600*m**6 - 1/1050*m**7 + 0*m + 0*m**3 + 43*m**2 + 0*m**5 + 0*m**h + 0. Factor x(d).
-d**3*(d + 1)/5
Let y(n) be the first derivative of -4*n**3/3 + 456*n**2 + 2476. Determine u, given that y(u) = 0.
0, 228
Let w(p) be the first derivative of -6*p + 21/2*p**2 - 3/5*p**5 - 9*p**3 + 15/4*p**4 + 36. Factor w(q).
-3*(q - 2)*(q - 1)**3
Factor 0 + 3/2*u**4 - 399/2*u**2 + 0*u + 18*u**3.
3*u**2*(u - 7)*(u + 19)/2
Let y(v) = 13*v**3 + 191*v**2 + 553*v + 375. Let m(f) = 4*f**3 + 62*f**2 + 184*f + 126. Let k(h) = 7*m(h) - 2*y(h). Determine w so that k(w) = 0.
-22, -3, -1
Let f = 61 + -63. Let j(o) = -6*o**3 - 2*o**2 - 7*o - 9. Let h be j(f). Let -4 - 16 + 33*r**2 + h*r - 58*r**2 = 0. What is r?
4/5, 1
Let n = -110 - -115. Suppose 3*s + f = 0, n*f + 5 + 6 = -4*s. Determine w, given that s + 119*w + w**2 + 3 + 121*w - 236*w = 0.
-2
Let t(r) = -r**3 - 7*r**2. Let y(l) = 2*l**2 - 2. Let c(f) = -4*f**2 - 4. Let j(n) = -c(n) + 2*y(n). Let i(h) = -3*j(h) - 2*t(h). Let i(q) = 0. Calculate q.
0, 5
Suppose 2*g + 2*g - 8 = 0. Suppose -5*d - 7*n + 6 = -9*n, 0 = -5*d - 9*n + 28. Factor 164 - g*l**2 - 164 - d*l**3.
-2*l**2*(l + 1)
Let r = 236832/13 - 1653560/91. Factor -4/7*z**2 - r*z - 6724/7.
-4*(z + 41)**2/7
Let r(q) = q**2 + 1 - 1256*q + 1256*q. Let m be r(3). Factor 25*t**3 - 13*t + 45*t**2 + 8*t**4 + 25*t + m + 23*t - 3*t**4.
5*(t + 1)**3*(t + 2)
Let m be 154/(-13) + (-24)/(1/(16/(-32))). Factor 16/13*n**2 - 2*n + 12/13 - m*n**3.
-2*(n - 6)*(n - 1)**2/13
Let s(v) be the first derivative of 43 - 5/3*v**3 + v**5 + 0*v + 0*v**2 + 0*v**4. Factor s(m).
5*m**2*(m - 1)*(m + 1)
Let s(j) be the first derivative of -13/24*j**4 - 30 - 25/2*j**2 + 0*j + 1/60*j**5 + 2*j**3. Let z(p) be the second derivative of s(p). Solve z(o) = 0 for o.
1, 12
Let d(u) = 495*u**3 - 8045*u**2 + 39530*u - 60840. Let c(r) = 247*r**3 - 4023*r**2 + 19764*r - 30420. Let m(l) = 5*c(l) - 2*d(l). Determine n so that m(n) = 0.
26/7, 9
Suppose -4*b + 7*z - 235 = 4*z, 5*z = 25. Let d = b - -58. Factor 18*x**d - 2*x**2 - 20*x**3 - 1 + 1.
-2*x**2*(x + 1)
Let s be (1 - (6 + -64))/(-2). Let g = -341/14 - s. Let 4*x + 8/7 - g*x**2 = 0. What is x?
-2/9, 1
Let b(q) = -14*q**2 + 106*q + 338. Let u(l) = 20*l**2 - 106*l - 339. Let f(w) = 3*b(w) + 2*u(w). Factor f(m).
-2*(m - 56)*(m + 3)
Let w(h) be the first derivative of 31 + 5*h**3 + 0*h - 205/24*h**4 + 7*h**2 + 73/12*h**5 - 5/6*h**6. Let a(d) be the second derivative of w(d). Factor a(f).
-5*(f - 3)*(4*f - 1)*(5*f - 2)
Suppose 639*s - 632*s = 0. Factor 0 + s*n**3 + 0*n + 0*n**4 + 1/4*n**5 + 0*n**2.
n**5/4
Let o(r) = 2*r**3 - 75*r**2 - 39*r + 41. Let u be o(38). Factor 6*t**2 - t**4 + 70*t**u + 60 + 6*t**4 - 70*t - 56*t**2 - 30*t**2 + 15.
5*(t - 1)**2*(t + 1)*(t + 15)
Let x(m) be the first derivative of 3*m**5/5 + 9*m**4/4 - 11*m**3 - 9*m**2/2 + 30*m - 777. Solve x(n) = 0 for n.
-5, -1, 1, 2
Let n be 2 - ((-10)/(-4) + 63/(-14)). Factor -4*c**5 - 196*c**2 - 157*c**3 + 17*c**3 + 10*c**4 + 48*c**n - 6*c**4.
-4*c**2*(c - 7)**2*(c + 1)
Let f(x) be the second derivative of -x**4/60 - 4*x**3/5 - 64*x**2/5 - 1183*x. Let f(z) = 0. Calculate z.
-16, -8
Let p(g) be the second derivative of g**5/80 - 151*g**4/24 + 22801*g**3/24 - 122*g + 1. Find d such that p(d) = 0.
0, 151
Determine a, given that 755323 + 12*a**2 + 6*a**2 + 1022*a + 2918*a - 13*a**2 + 20857 = 0.
-394
Let b(p) be the second derivative of -p**6/105 + 19*p**5/70 + 10*p**4/21 + 222*p. Factor b(n).
-2*n**2*(n - 20)*(n + 1)/7
Factor 24/7*n**2 + 20/7*n - 500/7.
4*(n + 5)*(6*n - 25)/7
Suppose x = -b + 16, 4*b + 0*b = -3*x + 67. Suppose 61 - b = 6*o. Let 12*q**3 - o + 32*q**2 - 36*q**4 + 10 - 3 - 16*q = 0. Calculate q.
-1, 0, 2/3
Let b(c) = -c**3 + 151*c**2 + 561*c + 242. Let z be b(154). Solve -z - 24*q**2 - 1056*q - 2/11*q**3 = 0.
-44
What is c in 6/13*c + 22/13*c**2 + 0 + 16/13*c**3 = 0?
-1, -3/8, 0
Let z(s) be the second derivative of s**4/39 + 75*s**3/13 + 34*s**2 - 3461*s. Find n, given that z(n) = 0.
-221/2, -2
Let n(h) = h**3 + 2*h**2 + 4*h. Let c(z) be the first derivative of z**4/4 + 2*z**3/3 + 3*z**2/2 + 121. Let f(r) = 6*c(r) - 4*n(r). What is l in f(l) = 0?
-1, 0
Suppose 36 = 2*g - 66. Let b = -48 + g. Factor 6 + 0*p**3 - 4*p**3 - 2*p**2 - 17*p + p**b + 17*p**2 - p**4.
-(p - 1)**3*(p + 6)
Suppose o**4 + 10*o**3 - 19*o**2 + 8*o**3 + 359 - 359 = 0. Calculate o.
-19, 0, 1
Let o(l) be the third derivative of -l**7/252 + 61*l**6/48 - 899*l**5/8 - 14415*l**4/16 - 3*l**2 + 42*l. Find v such that o(v) = 0.
-3, 0, 93
Let z(w) be the third derivative of w**6/360 - 7*w**5/180 + 5*w**4/36 - w**2 + 7*w. Solve z(f) = 0.
0, 2, 5
Suppose 12*m = -2*u + 10*m + 16, 4*u - 2*m - 38 = 0. Let b(p) = -p**2 + 10*p - 14. Let h be b(4). Solve r**2 - 5*r**3 - u*r**2 - h*r**2 - 10*r + 3*r**2 = 0.
-2, -1, 0
Let s be 51/(-108) - (-4)/18 - (-595)/1260. Factor s*n**2 - 40/9 - 38/9*n.
2*(n - 20)*(n + 1)/9
Let t(q) be the first derivative of -13*q**3/3 - q**2/2 + 4*q - 53. Let b(u) = -14*u**2 - 2*u + 4. Let i(f) = -5*b(f) + 6*t(f). Factor i(r).
-4*(r - 1)*(2*r + 1)
Let o(r) = r**2 - 30*r + 4. Let q be o(30). Factor -7*k + 20 + q*k**3 + 4*k - 20*k**2 - k.
4*(k - 5)*(k - 1)*(k + 1)
Let k(y) be the third derivative of y**5/330 - 91*y**4/22 - 1885*y**2. Factor k(r).
2*r*(r - 546)/11
Factor 60 - 651*l + 655*l + 116*l**2 - 55*l**2 - 62*l**2.
-(l - 10)*(l + 6)
Let g be (-5)/30*-2*(-1 + -2). Let t(b) = 7*b**2 + 4*b - 1. Let v be t(g). Factor 0 + 2/9*f**v - 4/9*f.
2*f*(f - 2)/9
Suppose 5*z + 31 + 29 = 0. Let c be (-35)/(-11) - z/(-66). Factor -6 + 3*j**2 + 6 + 18*j + 30 - c.
3*(j + 3)**2
Factor -92 + 2/3*c**2 - 134/3*c.
2*(c - 69)*(c + 2)/3
Suppose 47/5*h + 1/10*h**4 + 21/10*h**2 + 28/5 - 8/5*h**3 = 0. What is h?
-1, 4, 14
Let y = 6 - 4. Suppose -3*p - 4*w + 40 = 0, 3*w + y + 2 = 2*p. Determine u so that 4*u**5 - 191 - 8*u**4 - 4*u + p*u**2 + 191 = 0.
-1, 0, 1
Let n(o) be the third derivative of o**8/1848 - 4*o**7/77 - 41*o**6/220 - 31*o**5/165 - 12585*o**2. Solve n(c) = 0.
-1, 0, 62
Let a(x) be the third derivative of x**6/1080 - 31*x**5/180 + 961*x**4/72 - 10*x**3 - x**2 + 2. Let k(i) be the first derivative of a(i). Factor k(z).
(z - 31)**2/3
Suppose -5*y = 3*g - 8585, -14*y = -17*y + 5*g + 5151. Let n = y + -1715. Factor -2/11*r**3 + 10/11*r + 4/11*r**n - 12/11.
-2*(r - 3)*(r - 1)*(r + 2)/11
Find l such that -2464*l - 2276736 - 2/3*l**2 = 0.
-1848
Let k(r) be the first derivative of -r**3/15 + 469*r**2/10 + 5820. Factor k(m).
-m*(m - 469)/5
Let v(n) be the second derivative of 5/12*n**4 + 0 - 165*n - 65/6*n**3 + 30*n**2. Let v(g) = 0. What is g?
1, 12
Let k(u) = -8*u**4 + 86*u**3 + 545*u**2 + 480*u - 1145. Let w(i) = 6*i**4 - 56*i**3 - 363*i**2 - 320*i + 763. Let f(l) = 5*k(l) + 7*w(l). Solve f(m) = 0.
-12, -4, 1
Let z = -78 - -82. Suppose 2*m = -4*v + 1448, -z*m + 0*m = 3*v 