0 - 11*q**6/1440 + q**5/80 - 2*q**3/3 + 36*q - 2. Let a(y) be the third derivative of c(y). Factor a(w).
w*(w - 1)**2*(w + 6)/4
Let q(s) = -s + 25 + 10 - 18. Let y be q(17). Factor 7*k**2 + 7*k**2 - 11*k**2 + 3*k + y*k.
3*k*(k + 1)
Suppose -u + 7 = 0, 5*b - u - 181 = u. Let m(k) be the second derivative of 0 - 2/3*k**2 + 1/9*k**3 + 1/9*k**4 - b*k - 1/30*k**5. Factor m(n).
-2*(n - 2)*(n - 1)*(n + 1)/3
Let q = -13133 - -13142. Suppose -q - 39/5*g**2 + 87/5*g - 3/5*g**3 = 0. What is g?
-15, 1
Let s(p) = 3*p + 67. Let v be s(-22). Factor 19*r - v + 5*r + 156*r**4 - 27 + 16*r**5 + 256*r**2 + 344*r**3.
4*(r + 1)**3*(r + 7)*(4*r - 1)
Let y(u) be the third derivative of 3*u**6/8 - 8827*u**5/4 - 88285*u**4/24 - 4905*u**3/2 - 6743*u**2 + 2*u. What is z in y(z) = 0?
-1/3, 2943
Let y(a) = -53*a**2 + 228*a - 475. Let u(i) = 38*i**2 - 152*i + 317. Let o(v) = 7*u(v) + 5*y(v). Factor o(r).
(r - 2)*(r + 78)
Let w be (-7)/2*(-116)/7. Let v = 16 - -40. Factor -53*d**3 + v*d**3 + 11 + w*d + 37 + 2*d + 24*d**2.
3*(d + 2)**2*(d + 4)
Let w(i) be the third derivative of -i**5/30 + 8665*i**4/42 + 4952*i**3/21 + 7552*i**2. Solve w(j) = 0 for j.
-2/7, 2476
Find n such that -12437*n - 5211*n - 6513066 - 2191*n**3 + 13308*n**2 + 278*n**4 - 1142*n**3 + 6512874 = 0.
-3/278, 4
Let u(l) be the third derivative of 0 - 19/60*l**4 + 12/5*l**3 + 146*l**2 + 0*l + 1/300*l**5. Factor u(t).
(t - 36)*(t - 2)/5
Let p be (-3)/(-2)*(7 - 3). Suppose -p*v + 15 = -v. Factor -2*l**4 + 4*l**v + l**3 - 6*l**2 + 2*l + l**3.
-2*l*(l - 1)**3
Factor -9453 + 21*d + 3201 + 3166 + 3140 - 3*d**2.
-3*(d - 9)*(d + 2)
Let l = -68 + 70. Factor -44 + 24*p - 4*p**2 - 2*p**2 + 2*p**l + 4*p**2 - p**2.
-(p - 22)*(p - 2)
Let p(o) be the third derivative of 5/4*o**3 + 0*o - 10*o**2 - 11 + 1/240*o**5 + 31/96*o**4. Factor p(y).
(y + 1)*(y + 30)/4
Suppose -38 = -5*d + 3*h - 14, -3*d + 6 = h. Suppose 64 = 4*r - 2*m, -d*r + 39 = 3*m - 0*m. Solve 9*p + 4*p**3 + 19*p + 0*p**3 - 12 + r*p**2 - 35*p**2 = 0.
1, 3
Let w(u) = u**3 - u**2 + u - 2. Let q(h) = 3*h**3 + 63*h**2 - 132*h - 4. Let a(k) = -2*q(k) + 4*w(k). Factor a(s).
-2*s*(s - 2)*(s + 67)
Let n be ((-92)/(-8) - 8)*(-12)/(-21). Solve -1173*j**2 + 28*j**3 - 12*j**5 + 92*j**3 - 108*j + 1133*j**n - 28 + 68*j**4 = 0 for j.
-1, -1/3, 1, 7
Suppose -252*k = -1269 - 747. Determine h so that k*h + 64 + 1/4*h**2 = 0.
-16
Let f(z) = -7*z**2 - 5*z - 1. Let y(d) be the first derivative of -3*d**3 - 5*d**2/2 - 153. Let v(m) = -4*f(m) + 3*y(m). Factor v(j).
(j + 1)*(j + 4)
Suppose 766 = 3*c - 1532. Factor c + 172*a**2 + 0*a**3 - 4*a**3 - 1932*a + 998.
-4*(a - 21)**2*(a - 1)
Let q = 606773/235970 + 1/33710. Determine b so that -81/7 + q*b - 1/7*b**2 = 0.
9
Let z(w) be the second derivative of -w**5/160 - 27*w**4/64 + 29*w**3/8 + 163*w**2/2 + 93*w. Let j(b) be the first derivative of z(b). Let j(k) = 0. What is k?
-29, 2
Let u(l) be the first derivative of -2*l**3/3 - 4582*l**2 - 10497362*l + 13230. Factor u(h).
-2*(h + 2291)**2
Let 4320 - 895*f - 3489*f + 12*f**4 - 7*f**4 + 981*f - 1052*f + 1575*f**2 - 205*f**3 = 0. What is f?
3, 32
Let o(p) be the first derivative of -p**3/2 - 252*p**2 - 42336*p + 1288. What is g in o(g) = 0?
-168
Factor 2/3*m - 7/3*m**2 + 40/3 + 1/3*m**3.
(m - 5)*(m - 4)*(m + 2)/3
Let y(s) = -18*s**3 - 24*s**2 - 13*s + 26. Let i(q) = -7*q**3 - 12*q**2 - 6*q + 20. Let f(l) = 5*i(l) - 2*y(l). Factor f(u).
(u - 12)*(u - 2)*(u + 2)
Let a = 15 + 14. Factor -20*o**2 + 6*o**4 + 11*o - 43*o + a*o**3 + 17*o**3.
2*o*(o - 1)*(o + 8)*(3*o + 2)
Let z be 5*(-2 + -1)/(1*-5). Let q(d) = d**2 + 11*d - 10. Let t be q(-12). Factor 32 - 80*u - 54*u**5 + 36*u**2 + 10*u**4 + 44*u**t - 40*u**z + 53*u**5.
-(u - 2)**5
Let 87006*l + 5*l**3 + 172998*l + 163762*l + 745*l**2 + 50554*l - 3825*l**2 = 0. What is l?
0, 308
Let s(r) = -13*r - 35. Suppose 5*k - 3*j + 46 = 15, -16 = 4*k + 2*j. Let p be s(k). Factor -12*v**4 - 15/2*v - 99/4*v**2 - p*v**3 - 3/4.
-3*(v + 1)**2*(4*v + 1)**2/4
Let c(s) be the third derivative of -s**6/720 + 29*s**5/360 + 5*s**4/24 - 1034*s**2. Solve c(n) = 0 for n.
-1, 0, 30
Let k(b) = -b - 7. Let r be k(-9). Let -15*d**3 - 10*d**2 + 24 - r*d**2 + 16 + 2*d**2 + 60*d = 0. What is d?
-2, -2/3, 2
Let x(k) = -k**3 - 2. Let a(c) = 96*c**3 + 33*c + 183. Let f(i) = 12*i**3 + 4*i + 23. Let y(n) = 4*a(n) - 33*f(n). Let j(t) = -27*x(t) + 2*y(t). Factor j(p).
3*p**3
Let l(x) be the third derivative of -29*x**6/420 + 7*x**5/10 - 5*x**4/42 - 10*x**2 + 37*x. Factor l(y).
-2*y*(y - 5)*(29*y - 2)/7
Let c = 165 - 157. Determine b so that -c*b**2 - 4*b**2 - 3*b + 3*b**3 - 3*b**4 - 9*b + 6*b**4 = 0.
-2, -1, 0, 2
Let g be ((-448)/196)/((-36)/27). Let p = 4005/7 + -571. Solve -p*o**4 + 0 + 2/7*o + g*o**3 + 2/7*o**5 - 8/7*o**2 = 0 for o.
0, 1
Suppose 1/4*j**4 - 59/4*j**2 + 12*j + 27 + 1/2*j**3 = 0. Calculate j.
-9, -1, 2, 6
Suppose -8460*y**2 + 360*y**3 - 2850*y - 715/3 = 0. Calculate y.
-1/6, 143/6
Let x be (10/12 - (-1)/(-3))/(9/90). Let g(o) be the first derivative of 11 + 5/2*o**2 - 1/6*o**6 - 2/3*o**3 - 2*o - o**4 + 4/5*o**x. Factor g(p).
-(p - 2)*(p - 1)**3*(p + 1)
Suppose 51 = 3*y - 45. Suppose 5*k - 112 + y = 0. Find v, given that k*v - 5 + 4*v**2 + 0 + 5 = 0.
-4, 0
Let g(i) be the first derivative of i**6/40 + 53*i**5/40 - 9*i**4/4 - 265*i**3/3 - 313. Let l(d) be the third derivative of g(d). Factor l(h).
3*(h + 18)*(3*h - 1)
Let f(x) be the second derivative of 5*x**7/42 - 68*x**6/3 + 2379*x**5/2 - 11390*x**4/3 + 22445*x**3/6 - 2264*x. Determine v so that f(v) = 0.
0, 1, 67
Factor 3213/4 + 3/4*k**2 + 120*k.
3*(k + 7)*(k + 153)/4
Let h(v) be the second derivative of 3*v**5/20 - 667*v**4/4 + 55444*v**3 + 167334*v**2 + 58*v - 13. Suppose h(q) = 0. What is q?
-1, 334
What is l in -10/11*l**4 + 68/11*l**3 - 56/11 + 54/11*l**2 - 272/11*l = 0?
-2, -1/5, 2, 7
Let l(p) be the second derivative of -3*p**5/20 - 10*p**4 - 200*p**3 + 589*p. Factor l(y).
-3*y*(y + 20)**2
Let n(k) = 8 + 35*k**3 + 15*k**4 + 193*k**2 + 36*k**3 + 9 - 13*k**2. Let m(h) = -5*h**4 - 23*h**3 - 60*h**2 - 6. Let d(c) = -17*m(c) - 6*n(c). Factor d(p).
-5*p**2*(p + 3)*(p + 4)
Suppose -10*c = 222*c. Let d(n) be the first derivative of -3 + 0*n**2 + 0*n**3 - 1/2*n**4 + c*n. Factor d(i).
-2*i**3
Let x(b) be the first derivative of -3*b**5/20 - 3*b**4/4 + b**3/2 + 9*b**2/2 - 13*b + 28. Let q(m) be the first derivative of x(m). Factor q(z).
-3*(z - 1)*(z + 1)*(z + 3)
Let v(x) be the second derivative of -x**7/315 - x**6/180 + 9*x**2 + 43*x. Let h(q) be the first derivative of v(q). What is y in h(y) = 0?
-1, 0
Suppose -42*o = -1786 + 1618. Let t(f) be the second derivative of -5*f**2 - 5/6*f**o - 22*f - 35/6*f**3 + 0 + 3/4*f**5. Suppose t(p) = 0. Calculate p.
-1, -1/3, 2
Let b(l) = 6*l**2 - 483*l - 27. Let o(m) = 9*m**2 - 483*m - 36. Let z(u) = 4*b(u) - 3*o(u). Let z(d) = 0. What is d?
-161, 0
Suppose 15/2 + 19/4*o - 5/2*o**2 + 1/4*o**3 = 0. Calculate o.
-1, 5, 6
Suppose -19 = -4*t + 61. Let z be (16/(-12)*1)/(t/(-45)). Determine s, given that -25 - 90*s**2 - 40*s**z - 80*s - 4*s**4 - s**4 + 0*s**4 = 0.
-5, -1
Let g = -10/5291 + 15953/42328. Factor 1/8*c**5 - g*c**4 - 1/4*c + 1/8*c**3 + 0 + 3/8*c**2.
c*(c - 2)*(c - 1)**2*(c + 1)/8
Solve 304/9*a + 2/9*a**4 - 296/9*a**2 + 68/9*a**3 + 0 = 0 for a.
-38, 0, 2
Let q(m) be the first derivative of -m**3/30 + 19*m**2/4 + 48*m/5 - 1540. Factor q(j).
-(j - 96)*(j + 1)/10
Let y(q) = -q**2 - q - 3. Let j(n) = 12*n**2 - 88*n + 156. Suppose 10*k + 35 = -25*k. Let t(d) = k*j(d) - 16*y(d). What is z in t(z) = 0?
-27, 1
Let a be ((-5)/75 + (-52)/12 + 4)/((-2304)/640). Factor -55/9*l - 56/9 + a*l**2.
(l - 56)*(l + 1)/9
Let y(n) be the first derivative of -n**7/525 - 13*n**6/900 - 11*n**5/300 - n**4/30 + 29*n**3/3 - n - 32. Let i(u) be the third derivative of y(u). Factor i(t).
-2*(t + 1)*(t + 2)*(4*t + 1)/5
Solve -74*v**2 - 787*v**3 - 80*v**2 - 156*v - 793*v**3 + 1582*v**3 = 0.
-1, 0, 78
Let c(m) be the second derivative of m**7/168 - 7*m**6/60 - m**5/4 + 13*m**4/8 - 15*m**3/8 - 965*m. Suppose c(l) = 0. Calculate l.
-3, 0, 1, 15
Suppose 5*j = -5*l + 10, -5*l = -4*l + 4*j + 1. Factor -129*t**3 - 3*t**2 + 5*t**2 + 127*t**l.
-2*t**2*(t - 1)
Let z(b) be the first derivative of b**4/2 - 94*b**3/21 + 104*b**2/7 - 152*b/7 + 659. Suppose z(d) = 0. What is d?
2, 19/7
Let x = -12133 - -12133. Let m(z)