d**s + 3*d**2 = 0 for d.
-8, -1, 0, 1
Suppose 0 = 81*g + 23*g - 208. Let w(l) be the first derivative of 24*l**3 - 45/2*l**g - 14 - 33/4*l**4 + 6*l. Factor w(n).
-3*(n - 1)**2*(11*n - 2)
Let j(p) be the first derivative of p**5/480 + 7*p**4/96 + 13*p**3/48 - 59*p**2/2 + 43. Let v(d) be the second derivative of j(d). Solve v(l) = 0 for l.
-13, -1
Suppose 2*a - 17 = 2*w - 3, -2*a - 3*w = -29. Solve 4*j**2 + 15*j**3 + a*j - 8*j**3 + j**2 - 12*j**3 = 0.
-1, 0, 2
Factor 1/5*l**3 - 49/5*l**2 - 101/5*l - 51/5.
(l - 51)*(l + 1)**2/5
Factor -6/7*h**3 - 8/7*h**2 + 0*h + 2/7*h**4 + 0.
2*h**2*(h - 4)*(h + 1)/7
Let l(v) be the third derivative of -v**7/210 + v**6/45 + v**5/2 - 6*v**4 + 4*v**3/3 - 82*v**2. Let z(o) be the first derivative of l(o). What is k in z(k) = 0?
-4, 3
Let u(s) be the first derivative of -3/4*s**5 - 2/3*s**6 - 174 + 27/8*s**2 - 1/2*s + 77/12*s**3 + 49/16*s**4. What is k in u(k) = 0?
-1, 1/16, 2
Solve -11048 + 6*v**3 - 2419 + 27336*v - 2941*v**2 + 2134*v**2 = 0 for v.
1/2, 67
Let s be 110/(-924) - 63/294 - -3. Factor 5*x - s + 2/3*x**2.
(x + 8)*(2*x - 1)/3
Suppose 65*n - 268 = -90 + 122 - 105. Determine i so that 0 + 2*i**2 + 1/3*i**n - 16/3*i = 0.
-8, 0, 2
Find q, given that 578 - 706 + 0*q**4 + 0*q**4 - 548*q**3 - 772*q - 3*q**4 - 1176*q**2 - 13*q**4 = 0.
-32, -1, -1/4
Determine w, given that -178/3 + 1/6*w**3 + 88/3*w + 179/6*w**2 = 0.
-178, -2, 1
Let t(c) be the second derivative of -10/9*c**3 - 14 - 4*c - 1/36*c**4 - 19/6*c**2. Suppose t(g) = 0. What is g?
-19, -1
Let d(w) be the first derivative of w**3/3 + 23*w**2/2 + 45*w + 26. Let b be d(-21). Factor 4328 - 4426 - 28*l - b*l**2 + l**2.
-2*(l + 7)**2
Suppose 0 - 2*l + 23/3*l**2 - 7/3*l**3 = 0. Calculate l.
0, 2/7, 3
Let m(h) = 9*h - 214. Let o be m(24). Factor -7*v**2 + 48*v - 4*v - 8*v**2 + 13*v**o + 0*v.
-2*v*(v - 22)
Solve 888/5 + 1/5*o**2 + 446/5*o = 0.
-444, -2
Let w be (2 + -3)/(1/(-4)). Let t(n) be the first derivative of 5*n + 10 + 20 + 4 - 17*n + 2*n**2 - n**4 + w*n**3. Factor t(i).
-4*(i - 3)*(i - 1)*(i + 1)
What is w in -286514*w**3 - 1137*w + 286517*w**3 - 990 + 55*w**2 - 199*w**2 = 0?
-6, -1, 55
Factor -24 + 540*w**3 - 4 - 11 + 235*w + 337*w**2 + 14 - 977*w**2.
5*(2*w - 1)**2*(27*w - 5)
Factor -1722*m - 1639*m - 13200*m**2 - 240 - 66*m - 153*m + 1125*m**3.
5*(m - 12)*(15*m + 2)**2
Suppose 32*t - 31*t - 4*f = 26, -3*t + 100 = -f. Let w = t - 30. Let 10*i**w + 2*i**2 + 0 - 4/3*i + 32/3*i**3 + 8/3*i**5 = 0. Calculate i.
-2, -1, 0, 1/4
Let c(x) be the first derivative of x**4/2 - 102*x**3 + 746*x**2 - 1776*x + 1868. Determine a, given that c(a) = 0.
2, 3, 148
Let a(x) = -2*x**3 - 2*x**3 + 13*x + x - 13*x**2 + 3*x**3 + 2. Let f be a(-14). What is p in f*p**2 + 36 - 10*p + 14 - 10*p = 0?
5
Find m such that 64*m**4 - 92*m**2 + 3*m + 32*m**3 - 1192 + 1228 - 27*m = 0.
-1, 3/4
Let b be 68/(-12) + (-5 - -12). Let q(t) be the first derivative of -2/3*t**2 + 3 - b*t + 1/3*t**4 + 4/9*t**3. Factor q(n).
4*(n - 1)*(n + 1)**2/3
Let t(h) be the first derivative of 3/5*h**5 - 4*h**3 + 3/4*h**4 + 44 + 0*h - 6*h**2. Let t(w) = 0. Calculate w.
-2, -1, 0, 2
Suppose 10*j + 164 + 126 = 0. Let z(n) = n**3 + 30*n**2 + 25*n - 113. Let b be z(j). Factor -9/5*v**2 + 9/5*v + 3/5*v**b - 3/5.
3*(v - 1)**3/5
Suppose 4*a = -4*r + 38 - 6, -3*a + 14 = r. Factor 3*q + 2*q**5 - q**3 - 3*q**r + 4*q**4 - 4*q**2 - q**3.
-q*(q - 3)*(q - 1)**2*(q + 1)
Let r(g) be the third derivative of 3/112*g**8 + 40*g**2 + 49/24*g**4 + 179/60*g**6 + 14/3*g**5 + 0 + 0*g**3 + 0*g - 4/7*g**7. Factor r(h).
h*(h - 7)**2*(3*h + 1)**2
Let k be (1/23)/((-2)/(-16)). Suppose -4*i + 108*f = 110*f - 18, -2*i + 72 = 8*f. Factor -k*q**3 - 2/23*q**4 - 4/23*q - 10/23*q**2 + i.
-2*q*(q + 1)**2*(q + 2)/23
Suppose 6*a - 4 + 634 = 0. Let r be 160/a - (104/24 + -6). Factor -2/7*l**2 - r*l**3 + l - 4/7.
-(l - 1)**2*(l + 4)/7
Suppose 0 - 5/3*m**5 + 0*m + 0*m**2 - 25/3*m**4 + 10*m**3 = 0. What is m?
-6, 0, 1
Factor 1/3*q**4 - 157/3*q**3 - 1716*q - 12168 + 2078*q**2.
(q - 78)**2*(q - 3)*(q + 2)/3
Let y(z) be the second derivative of z**6/70 - 27*z**5/70 - 3*z**4/4 + 19*z**3/7 + 620*z - 2. Factor y(q).
3*q*(q - 19)*(q - 1)*(q + 2)/7
Let l = 1114611 - 12260649/11. Factor -2/11*c**3 + 12/11*c**2 + 80/11 + l*c.
-2*(c - 10)*(c + 2)**2/11
Let c be (-235)/188 + (-3)/(12/(-13)). Factor -c*s**4 - 22 + 7*s + 8*s**2 + 2*s**3 - 3*s**2 + 24 + 3*s**2 - s**5.
-(s - 2)*(s + 1)**4
Suppose -48 = 4*z - 3*q + 6*q, -3*q - 39 = 3*z. Let w be ((-75)/z)/((-6)/(-27)). Factor w + 15*j + 3/2*j**2.
3*(j + 5)**2/2
Let f = -5133268/3 + 1711094. Let 1/3*n**2 - f*n + 15 = 0. What is n?
5, 9
Let z(h) be the first derivative of h**3 - 141*h**2/2 - 294*h - 114. Factor z(c).
3*(c - 49)*(c + 2)
Let p(k) = -2*k - 5. Let d be p(-4). Factor -8*j + 2*j**d - 8*j - 16*j - 6*j**2 + 24*j.
2*j*(j - 4)*(j + 1)
Let x(u) = 86*u + 251. Let j be x(-6). Let g be (-2 + 18/4)*(-318)/j. Factor 3/5*n**4 + 1/5*n**2 + 0*n - 1/5*n**5 + 0 - 3/5*n**g.
-n**2*(n - 1)**3/5
Let u = 6577 - 6565. Let s(m) be the second derivative of -2/11*m**2 - 1/33*m**3 + 1/66*m**4 + u*m + 0. Factor s(k).
2*(k - 2)*(k + 1)/11
Let g(s) be the third derivative of -10*s**2 - 5/12*s**4 + 0*s - 1/24*s**5 + 1/72*s**6 + 0 - 4*s**3. Let z(v) be the first derivative of g(v). Factor z(p).
5*(p - 2)*(p + 1)
Let v be 4/1 + (-7)/7. Suppose f = x - 6, -v*f - 5 = -2*x + 11. Factor -4/5*k + 2/5*k**x + 0.
2*k*(k - 2)/5
Suppose -1109*p - 87 = -1138*p. Let x(c) be the first derivative of -2/3*c**2 + 5/3*c - 22 - 1/9*c**p. Suppose x(q) = 0. What is q?
-5, 1
Let d be (-24)/3*1/(-3). Suppose 2*q = f + 4, -5*q - 1305*f = -1302*f - 21. Let 10/3*t**2 + 2/3*t**4 + 0 - d*t**q - 4/3*t = 0. Calculate t.
0, 1, 2
Let u(t) be the second derivative of t**4/12 + 3592*t**3/3 + 6451232*t**2 - 3461*t. Factor u(l).
(l + 3592)**2
Let d(c) be the second derivative of c**4/9 - 836*c**3/3 + 262086*c**2 - 299*c + 2. Let d(u) = 0. Calculate u.
627
Let s(k) be the first derivative of 0*k + 44 + 33/8*k**4 + 0*k**2 + 3*k**3 - 1/4*k**6 + 6/5*k**5. Factor s(f).
-3*f**2*(f - 6)*(f + 1)**2/2
Let n(g) = 32*g**3 - 76*g**2 + 52*g - 32. Let s(x) = x**4 + 33*x**3 - 77*x**2 + 45*x - 32. Let v(p) = -5*n(p) + 4*s(p). Factor v(d).
4*(d - 2)**3*(d - 1)
Let v be -8 + (-8 - 522/48). Let i = v - -233/8. Factor -15/2*a**2 + 39/4*a - i.
-3*(a - 1)*(10*a - 3)/4
Let w be (0 - -4) + (6 + -6)/9. Let x(h) be the first derivative of 0*h**2 + 0*h - 1/12*h**6 + 1/10*h**5 - 11 - 1/6*h**3 + 1/8*h**w. Factor x(k).
-k**2*(k - 1)**2*(k + 1)/2
Let s(d) be the second derivative of d**6/105 + 169*d**5/70 + 332*d**4/21 + 220*d**3/7 - 10*d + 8. Factor s(j).
2*j*(j + 2)**2*(j + 165)/7
Factor 4330*w - 8227*w - 52336 + 1331 - 48118*w - 5*w**3 - 1015*w**2.
-5*(w + 1)*(w + 101)**2
Let i = 881 - 881. Let f(z) be the second derivative of 0 + 2/35*z**5 + 8/105*z**6 + 0*z**4 + 0*z**2 + i*z**3 + 2*z - 15/49*z**7. Factor f(l).
-2*l**3*(5*l - 2)*(9*l + 2)/7
Let v(j) be the third derivative of -j**6/60 - 22*j**5/15 - 52*j**4 - 960*j**3 - 118*j**2 - 2*j. Factor v(i).
-2*(i + 12)**2*(i + 20)
Determine v so that 3/8*v**4 + 3/4*v + 105/8 - 27/2*v**2 - 3/4*v**3 = 0.
-5, -1, 1, 7
Suppose 0 = 4*l - 5*k - 25, -l + 3*k + 15 = -0*l. Suppose 345 = 2081*s - 1045 - 2772. Find d such that 0*d**3 - 1/4*d**4 + l + 3/4*d**s + 1/2*d = 0.
-1, 0, 2
Let h(i) = 110*i**2 - 211*i - 15. Let u be h(2). Factor 24*k**u + 0*k + 99/2*k**4 - 6*k**2 + 0.
3*k**2*(3*k + 2)*(11*k - 2)/2
Let 8 + 63/2*y**4 + 347/2*y**3 + 74*y + 208*y**2 = 0. Calculate y.
-4, -1, -2/7, -2/9
Suppose 5*m = -0*x + 3*x - 13, -4*m = -x + 9. Let f be (m/3)/(14/(-6) + 2). Solve 25*b + b**3 + 22*b - 2*b**f + 2 - 48*b = 0 for b.
-1, 1, 2
Let c(g) = -3*g**3 - 17*g**2 + 168*g - 144. Let o(s) = s**3 - 2*s**2. Suppose 149 = 2*z + 147. Let j(l) = z*c(l) + 4*o(l). Factor j(k).
(k - 12)**2*(k - 1)
Let u be (-310)/4*(-4 - 20/(-110)). Let m = 297 - u. Factor -2*s - m - 6/11*s**2.
-2*(s + 3)*(3*s + 2)/11
Find y, given that -144*y**2 + 370*y**2 - 1015*y - 825 - 5*y**3 + 0*y**3 - 421*y**2 = 0.
-33, -5, -1
Let g(m) be the first derivative of m**7/7 + m**6/10 - 27*m**5/20 - m**4 + 2*m**3 + 5*m - 63. Let s(l) be the first derivative of g(l). What is j in s(j) = 0?
-2, -1, 0, 1/2, 2
Suppose 6*c + 10 - 28 = 0. Suppose -5*f + 155 = c*w, -4*f + 122 = -2*w + 20. Factor 28*j**2 + 7*j - 9*j + 8*j**4 