/10*s**4 + 2/3*s**3 + 75 + 2/5*s**2 - 2/25*s**5 + 0*s - 1/15*s**6. Factor b(k).
-2*k*(k - 2)*(k + 1)**3/5
Let c(d) be the second derivative of -d**5/80 + 1325*d**4/48 + d**3/24 - 1325*d**2/8 - 5964*d. Factor c(p).
-(p - 1325)*(p - 1)*(p + 1)/4
Let t(z) be the third derivative of 0 + 1/300*z**6 - 43*z**2 - 1/1575*z**7 + 0*z - 1/450*z**5 + 2/45*z**3 - 1/60*z**4. Find d such that t(d) = 0.
-1, 1, 2
Let a(v) = 2*v**3 + 14*v**2 + 140*v + 770. Let i be a(-6). Factor 0 - 4/17*w - 6/17*w**i + 4/17*w**3.
2*w*(w - 2)*(2*w + 1)/17
Let a(p) be the first derivative of -2*p**3/27 + 80*p**2/3 + 482*p/9 + 2167. Find f such that a(f) = 0.
-1, 241
Factor -240*n + 64800 + 2/9*n**2.
2*(n - 540)**2/9
Let u(l) = -125*l**2 - 590*l - 1175. Let b = 37 - 41. Let m(v) = -9*v**2 - 42*v - 84. Let j(w) = b*u(w) + 55*m(w). Solve j(y) = 0 for y.
-8, -2
Let o(n) be the third derivative of 0 + 1/80*n**5 + 1/480*n**6 - 3*n + 3*n**2 - 1/6*n**3 + 0*n**4. Factor o(i).
(i - 1)*(i + 2)**2/4
Let j(b) be the first derivative of -b**4/4 - 58*b**3/3 - 56*b**2 + 1248. Determine l so that j(l) = 0.
-56, -2, 0
Suppose -2952*z + 1491*z**2 - 5639*z**2 + 1193*z**2 - 3*z**3 = 0. What is z?
-984, -1, 0
Let r(b) = -3*b**2 + 18*b - 15. Let x(m) = 14*m**2 - 89*m + 75. Suppose 2*a + 20 = 3*a. Let q = a + -18. Let n(l) = q*x(l) + 11*r(l). Factor n(c).
-5*(c - 3)*(c - 1)
Let o(v) be the first derivative of -2*v**4/3 - 26*v**3/9 - 5*v**2/6 + v + 515. Solve o(t) = 0 for t.
-3, -1/2, 1/4
Let t(w) = -51*w**2 + w + 1. Let x(k) = 309*k**2 + 1083*k + 1080. Let i(l) = -6*t(l) - x(l). Factor i(r).
-3*(r + 1)*(r + 362)
Let t(m) be the second derivative of -1/24*m**6 + 52/3*m**3 - 16*m**2 + 0 - 11/2*m**4 + 31/40*m**5 - 129*m. Solve t(b) = 0.
2/5, 4
Let g = -140 - -145. Let s(b) = 3*b**2 + 40*b + 73. Let v(w) = -5*w**2 - 80*w - 145. Let d(n) = g*s(n) + 2*v(n). Factor d(c).
5*(c + 3)*(c + 5)
Let x(f) be the third derivative of f**5/6 + 337*f**4/12 + 134*f**3/3 + 6*f**2 + 28*f. Let x(m) = 0. What is m?
-67, -2/5
Let i(w) be the second derivative of -12*w**7/35 + 8*w**6/25 + 323*w**5/50 - 73*w**4/30 - 104*w**3/3 + 60*w**2 - 43*w + 1. Determine c, given that i(c) = 0.
-2, 5/6, 3
Let k(i) be the third derivative of 0*i + 1/70*i**5 + 0 - 1/420*i**6 - 1/245*i**7 - 1/1176*i**8 + 6*i**2 + 0*i**3 + 1/42*i**4. Suppose k(w) = 0. Calculate w.
-2, -1, 0, 1
Let w(u) be the second derivative of u**6/105 - 73*u**5/35 - 7*u**4/2 + 1146*u + 2. Factor w(m).
2*m**2*(m - 147)*(m + 1)/7
Factor 321*z - z**2 + 43613 + 2579*z + 250905 + 6*z**2 + 125982.
5*(z + 290)**2
Let j(s) be the second derivative of -s**6/360 + s**5/15 - 5*s**4/8 - 2*s**3/3 + 199*s. Let u(x) be the second derivative of j(x). Factor u(k).
-(k - 5)*(k - 3)
Let m be (-3)/2*1380/(-18). Suppose -7*u + 2*u = -m. Factor -7 + 4 + 5*b**3 + u - 15*b**2.
5*(b - 2)**2*(b + 1)
Factor -2/15*s**4 - 1409938/15*s - 178/5*s**3 + 0 - 15842/5*s**2.
-2*s*(s + 89)**3/15
Let b(z) be the third derivative of z**5/12 + 145*z**4/6 + 925*z**3/2 + 10*z**2 - 67. Find h such that b(h) = 0.
-111, -5
Let y = -5895 - -5895. Let a(j) be the third derivative of -1/18*j**3 + 0*j - 1/48*j**4 + 1/1260*j**7 + 1/240*j**6 + 1/360*j**5 - 6*j**2 + y. Factor a(z).
(z - 1)*(z + 1)**2*(z + 2)/6
Let z(d) be the first derivative of -d**4/26 - 14*d**3/13 + d**2/13 + 42*d/13 - 5908. Find x, given that z(x) = 0.
-21, -1, 1
Let b(y) = -12*y**2 + 5*y - 2. Let c(d) = -2*d**2 - d + 2. Let i = 192 - 190. Let a(z) = i*b(z) - 10*c(z). Determine m so that a(m) = 0.
2, 3
Suppose -91 = 4*c - 2*w + 3, 122 = -5*c + w. Let m = c - -52. Factor m*h + 45*h + 18 + 306 + 4*h**2.
4*(h + 9)**2
Factor 380 + 1/2*w**2 + 43*w.
(w + 10)*(w + 76)/2
Suppose -2*o - 22 + 6 = 0, -30 = -3*m + 3*o. Factor 1/3*b**3 - 4/3*b - 4 + b**m.
(b - 2)*(b + 2)*(b + 3)/3
Let t(w) be the third derivative of w**8/110880 - w**7/4620 + 139*w**5/60 - 37*w**2. Let l(y) be the third derivative of t(y). Factor l(g).
2*g*(g - 6)/11
Suppose 5*j - 5*i - 20 = 0, 9*j - 4*j - 3*i = 16. Suppose 3*v - 11 = -2*l + 4*v, j*l - 5*v - 31 = 0. Factor -8/5*r**2 - 6/5*r + 0 - 2/5*r**l.
-2*r*(r + 1)*(r + 3)/5
Let y = 5400 + -459012/85. Let f = 192/85 - y. Let 12/5*o**3 + 0 + 0*o + f*o**2 + 3/5*o**4 = 0. Calculate o.
-2, 0
Factor -29*u**3 - 78*u**2 - 4*u**4 + 14*u**3 - 29*u**3 - 128 - 90*u**2 - 256*u.
-4*(u + 1)*(u + 2)*(u + 4)**2
Let o(j) be the first derivative of j**4/8 - 313*j**3/6 + 1678. Factor o(w).
w**2*(w - 313)/2
Let g = -4633/4 + 4635/4. Suppose -15 = -5*f - 0*f. Factor g*z**2 - z + 14*z**f + 0.
z*(4*z - 1)*(7*z + 2)/2
Let i be 1274/(-84) + 15 + (-98)/(-12). Suppose -i = -2*l - 4. Factor 1/7*f**3 + 11/7*f + 5/7 + f**l.
(f + 1)**2*(f + 5)/7
Let j(t) be the first derivative of t**6/6 + t**5/4 - 5*t**4/4 - 5*t**3/6 + 5*t**2 - 30*t - 50. Let s(y) be the first derivative of j(y). Factor s(k).
5*(k - 1)**2*(k + 1)*(k + 2)
Let l be -5 - 3 - (-40)/(-12)*24/(-10). Solve -8/15*w**3 + 0*w**2 + l + 0*w**4 + 0*w + 2/15*w**5 = 0.
-2, 0, 2
Let q(m) be the third derivative of -m**8/336 + 2*m**7/7 - 87*m**6/8 + 405*m**5/2 - 3645*m**4/2 + 8748*m**3 - 163*m**2. Suppose q(f) = 0. What is f?
3, 18
Let l be (12/16*8 - (-4 + 460/45))*-3. Let l*v**2 - 22/3*v + 0 = 0. Calculate v.
0, 11
Let p(d) be the second derivative of -d**4/42 - 46*d**3/21 - 240*d**2/7 - 4*d + 98. Factor p(z).
-2*(z + 6)*(z + 40)/7
Factor -6927685 - 299*h + 18379*h - 6031488 - 7471227 - 4*h**2.
-4*(h - 2260)**2
Let d(i) be the first derivative of -i**5 - 105*i**4/4 + 110*i**3/3 + 1555. Suppose d(v) = 0. Calculate v.
-22, 0, 1
Let m = -27 + -34. Let z = -58 - m. Let 4*q**3 + 4*q - 4*q**z - 5*q**3 + 4*q**3 = 0. What is q?
-2, 0, 2
Factor -8372/5*b**3 + 0*b - 4/5*b**5 + 2116/5*b**2 - 367/5*b**4 + 0.
-b**2*(b + 46)**2*(4*b - 1)/5
Let x be 12/((-12)/(-114) + 0). Let t be 209/x - (-8)/12. Factor -45/4*a + t - 25/4*a**2.
-5*(a + 2)*(5*a - 1)/4
Suppose -2*j**2 - 6*j**4 + 101*j**5 - 10*j**2 + 21*j**3 - 104*j**5 = 0. What is j?
-4, 0, 1
Let v be 260/39*(0 - -3). Suppose 3*w = 2*w + 16. Factor -v - w*o + 3*o**2 - 12 - 5*o**2.
-2*(o + 4)**2
Let w(p) = 2*p**2 + 37*p + 130. Suppose 0 = 138*c - 132*c + 84. Let t be w(c). Factor 2/11*j**3 + 0*j + 0*j**2 - 2/11*j**5 + 0*j**t + 0.
-2*j**3*(j - 1)*(j + 1)/11
Factor 242/17*r - 16/17*r**2 + 72.
-2*(r + 4)*(8*r - 153)/17
Suppose 0 = -23*d - 72 + 36 + 36. Let w be -20*(-2)/18 - 2. Find i such that d*i + 2/3*i**2 + 0 + w*i**4 + 8/9*i**3 = 0.
-3, -1, 0
Let c(u) be the second derivative of -u**5/10 - 571*u**4/6 - 81224*u**3/3 + 81796*u**2 - 440*u + 1. Let c(r) = 0. Calculate r.
-286, 1
Suppose -35*l**4 - 85*l**2 - 30*l + 63*l**3 - 5*l**5 - 235*l**3 + 87*l**3 = 0. What is l?
-3, -2, -1, 0
Suppose 317*o**2 + 237*o + 31*o - 649*o**2 + 37 + 2*o**3 + 238*o**2 - 213 = 0. Calculate o.
1, 2, 44
Suppose 0 = u - 2*t + 4*t - 14, 53 = 3*u - 5*t. Factor -54*b**3 + 96*b + u + 87*b**2 + 20 + 84*b**3 + 3*b**4.
3*(b + 1)**2*(b + 2)*(b + 6)
Let j(b) be the first derivative of 4*b**5/5 + 22*b**4 + 28*b**3 - 982. Determine l, given that j(l) = 0.
-21, -1, 0
Let m be 14076/(-255) - ((-12)/10 - -2). Let r be m/16*16/(-154). What is o in -2/11*o**4 - 2/11 - r*o**3 + 4/11*o**2 + 2/11*o + 2/11*o**5 = 0?
-1, 1
Let g(p) be the third derivative of p**7/1680 + p**6/60 + 7*p**5/80 - 49*p**4/24 + 6*p**3 - 117*p**2. Let n(c) be the first derivative of g(c). Factor n(q).
(q - 2)*(q + 7)**2/2
Let m(b) = 17*b**2 - 5*b - 28. Let a(l) = -9*l**2 + 2*l + 14. Let k(j) = 11*a(j) + 6*m(j). Let u be k(-4). Factor 54*d + 3*d**2 - 102*d + 27 + u*d.
3*(d + 3)**2
Let w(n) be the first derivative of n**6/33 - 8*n**5/55 + n**4/22 + 4*n**3/11 - 1876. Find x, given that w(x) = 0.
-1, 0, 2, 3
Suppose 2*u**5 - 2*u**4 + 5*u**3 + 153 - 6*u**4 + 212*u**2 - 34*u**3 - 354*u + 27 - 3*u**3 = 0. Calculate u.
-5, 1, 2, 3
Let j be (2/6)/(4/(-1*12)) - -4. Let v(h) be the second derivative of -11*h + 1/72*h**4 - 1/36*h**j + 0*h**2 + 0. Factor v(o).
o*(o - 1)/6
Let x = 45686/9 + -5076. Let x*a**3 - 2/9*a - 2/9*a**4 + 2/9*a**2 + 0 = 0. What is a?
-1, 0, 1
Let f(s) be the first derivative of 3125*s**5/6 - 1250*s**4/3 + 400*s**3/3 - 64*s**2/3 - 91*s - 23. Let j(g) be the first derivative of f(g). Factor j(p).
2*(25*p - 4)**3/3
Let w = 63 - 58. Let o be w*(3 - 26/10). Factor a**3 + 10*a**2 - 5*a**2 - 6*a**o.
a**2*(a - 1)
Let l(w) be the second derivative of w**7/1400