+ 7*a**3/6 + a**2 - 25*a. Factor y(k).
-(k - 1)*(k + 1)*(7*k + 2)
Let t(u) be the third derivative of -u**10/50400 + 3*u**8/11200 - u**7/2100 + u**4/24 - 15*u**2. Let a(p) be the second derivative of t(p). Factor a(m).
-3*m**2*(m - 1)**2*(m + 2)/5
Let q(d) be the first derivative of d**6/60 + d**5/60 - d**4/12 - d**3/6 - 5*d**2 + 20. Let b(j) be the second derivative of q(j). Factor b(c).
(c - 1)*(c + 1)*(2*c + 1)
Let t(a) be the first derivative of -a**5/90 + a**3/27 + 3*a + 4. Let g(k) be the first derivative of t(k). Factor g(i).
-2*i*(i - 1)*(i + 1)/9
Let z(d) be the third derivative of d**7/735 + d**6/70 + d**5/42 + 16*d**2 + 2*d. Find y such that z(y) = 0.
-5, -1, 0
Determine d, given that 0 + 3/2*d - 3/8*d**4 - 3/8*d**3 + 3/2*d**2 = 0.
-2, -1, 0, 2
Factor 34/5*r**2 + 1/5*r + 0.
r*(34*r + 1)/5
Let r be (6/5)/(12/(-30)). Let i be -4*r*2/12. Factor 4*y**4 + 0*y + 2*y**3 - 4*y**2 + y + i*y**3 - 5*y.
4*y*(y - 1)*(y + 1)**2
Let z = -1 - -3. Let t(q) = -4*q + 22. Let r be t(5). Find i such that 10*i**z - i - 2*i**r + i**2 - 12 - 11*i = 0.
-2/3, 2
Let x(t) = -23 + 949*t - 41 - 957*t. Let l be x(-8). Factor -3/2*a**2 - 3/2*a**3 + l + 3*a.
-3*a*(a - 1)*(a + 2)/2
Factor -991 - 990 + 4*a**2 + 20*a + 1981.
4*a*(a + 5)
Let d = 186 + -183. Let q(z) be the first derivative of -1/3*z**6 + 0*z**2 + 8/5*z**5 - 5/2*z**4 + 0*z + 4/3*z**d - 2. Let q(w) = 0. Calculate w.
0, 1, 2
Factor 10*f + 22*f**4 + 28*f**4 + 25*f**4 + 18*f**2 + 6*f**3 + 0*f - 77*f**4.
-2*f*(f - 5)*(f + 1)**2
Let s(q) be the third derivative of 7*q**6/540 - 23*q**5/270 + 5*q**4/27 - 4*q**3/27 + 35*q**2. Solve s(l) = 0.
2/7, 1, 2
Let j(n) be the third derivative of n**7/15 - 4*n**6/15 - 101*n**5/30 + 5*n**4/2 - n**2 + 346*n. Factor j(a).
2*a*(a - 5)*(a + 3)*(7*a - 2)
Let k(q) = -q**3 + 30*q - 29. Let t be k(1). Let 5/3*z**2 + t - 2/3*z = 0. What is z?
0, 2/5
Factor -2/5*m**2 - 20*m - 250.
-2*(m + 25)**2/5
Let a(j) be the first derivative of -24*j**5 - 161*j**4/2 - 142*j**3/3 + 28*j**2 + 24*j - 24. Let a(w) = 0. Calculate w.
-2, -3/4, -1/3, 2/5
Solve -32/3*y**2 - 2/3*y**3 + 0 + 0*y = 0.
-16, 0
Let l be (6 - -4) + -5 - 2. Factor 3*k + 90*k**3 - 87*k**l + 3*k**2 - 3*k.
3*k**2*(k + 1)
Let s(p) = -5*p**2 + 55*p + 85. Let z(y) = -7*y**2 + 56*y + 86. Let h(d) = 6*s(d) - 5*z(d). Suppose h(b) = 0. Calculate b.
-8, -2
Let f = 85139/4 + -21284. Determine c so that -39/4*c - f*c**3 - 9/2 - 6*c**2 = 0.
-6, -1
Let r = 13 - 3. Factor n**2 - r + 4 + 6.
n**2
Let 0 - 2/3*z**2 - 114*z = 0. What is z?
-171, 0
Let s be ((40500/192)/(-27) + 8)/(3/6). Determine p, given that 1/8*p**2 + s - 1/2*p = 0.
1, 3
Determine u so that -18*u - 3 + 87*u**2 - 17 + 48*u**4 + 12*u**5 - 129*u**3 + 3 + 17 = 0.
-6, 0, 1/2, 1
Let f(q) = q**2 - 2. Let j(t) = 12*t**2 - 18*t - 22. Let c(s) = 22*f(s) - 2*j(s). Factor c(m).
-2*m*(m - 18)
Let p(f) be the first derivative of 2*f**2 - f + 9. Let u be p(5). Factor u*d + 3*d**4 - 19*d.
3*d**4
Let z = 8 + -1. Solve 4*c**4 + 5*c**3 + 16 - 16*c - 5*c**2 - z*c**2 + 3*c**3 = 0.
-2, 1
Suppose -15 = 4*c + 2*n - 5*n, -c - 4*n + 20 = 0. Let y(d) be the second derivative of 24*d**2 + d + 4*d**3 + 1/4*d**4 + c. Suppose y(g) = 0. What is g?
-4
Let z be 132/165 - 63/(-15) - 0/3. Find d, given that 8/3*d**2 - 8/3*d**4 + 4/3*d**z - 4/3*d + 0 + 0*d**3 = 0.
-1, 0, 1
Factor 25*p**2 + 2*p**2 + 3*p**4 + 27*p**3 - 9*p**3.
3*p**2*(p + 3)**2
Let w = -8 - -11. Suppose -26 + 5 = -w*f. Factor 2 + 2*o**2 + 15*o + 6*o**2 + f*o**2 - 2*o**2.
(o + 1)*(13*o + 2)
Factor -15/7*l - 39/7*l**3 + 4/7*l**4 - 8/7 + 58/7*l**2.
(l - 8)*(l - 1)**2*(4*l + 1)/7
Factor 92*d**2 - 91*d**2 + 13 - 29.
(d - 4)*(d + 4)
Let n(m) be the second derivative of -m**4/78 + 2*m**3/13 + 27*m**2/13 + 3*m - 30. Factor n(v).
-2*(v - 9)*(v + 3)/13
Let r(h) = 2*h**2 + 21*h - 20. Let w(s) = -s**2 - 10*s + 10. Let q(m) = 3*r(m) + 7*w(m). Let t be q(-8). What is u in 4*u**t - 5*u - 4 + 7 - 2 = 0?
1/4, 1
Find l such that -615*l**3 + 314*l**3 + 19320*l + 279*l**2 - 19600 + 302*l**3 = 0.
-140, 1
Let o = -31 + 55. Let k = o - 22. Factor 7 - 12*m**2 - 8*m + 2*m**3 - k*m**4 - 6 - 10*m**3 - 3.
-2*(m + 1)**4
Suppose 363*o + 99*o + 283776*o**2 + 338*o - 283781*o**2 + 805 = 0. What is o?
-1, 161
Let k be 52/(-494) - 101/(-57). Suppose k*f**3 + f**2 - 5/3*f - 4/3 + 1/3*f**4 = 0. What is f?
-4, -1, 1
Suppose 172*a - 104*a**2 - 94*a**3 + 94 + 130 - 6*a**3 - 16*a**4 - 176 = 0. Calculate a.
-4, -3, -1/4, 1
Let d be 3*-1 + -4 + 9. Let q(l) = 0*l**d - l**5 + 3*l**3 - 4*l**3 + 2*l**5 + l**4 + 3*l**2. Let u(x) = x**4 + x**2. Let a(f) = q(f) - 2*u(f). Solve a(j) = 0.
-1, 0, 1
Suppose 0 = -n - 0 + 3. Suppose 0*x - 5*x + 4 = -4*y, 4*y = n*x + 4. Solve -24*t**3 + 8*t**2 + y*t**5 - 6*t - 6*t - 35*t**2 - 5*t**2 = 0.
-1, 0, 3
Let n be (-1 - (1 - 1))*0. Let o be (3 - n)*(2 - 1). Determine l, given that -3*l**2 + l**o + 2*l**2 - l - 2*l**2 + l**4 + 2 = 0.
-2, -1, 1
Let p = -33 - -37. Suppose 2*j = 3*j + p*j. What is x in -2/7*x + j - 2/7*x**3 + 4/7*x**2 = 0?
0, 1
Suppose -2*y - 3*d = -21 - 9, 3*y - 45 = d. Let s be (-2)/6 + 35/y. Find p such that -p**4 - 4*p**s - 2*p**4 + 3*p**5 - 2*p**2 + p + 12*p**3 - 7*p**4 = 0.
0, 1/3, 1
Let l(w) be the third derivative of w**6/660 + w**5/66 + 2*w**4/33 + 4*w**3/33 + 13*w**2 - 3. Factor l(h).
2*(h + 1)*(h + 2)**2/11
Suppose 76 = 68*p - 128. Determine n, given that -1/2*n**2 + 1/4*n**5 + 0*n**p + 0 - 1/4*n + 1/2*n**4 = 0.
-1, 0, 1
Factor 6*s + 4 - 1/2*s**4 - 3/2*s**3 + s**2.
-(s - 2)*(s + 1)*(s + 2)**2/2
Let v(d) be the third derivative of d**6/72 + d**5/3 + 5*d**4/8 - 55*d**3/9 - 25*d**2. Factor v(j).
5*(j - 1)*(j + 2)*(j + 11)/3
Let l(z) be the first derivative of -2*z**3/3 - 3*z**2 + 56*z + 23. Factor l(r).
-2*(r - 4)*(r + 7)
Let q(j) be the first derivative of -9*j**6/10 + 126*j**5/25 + 294*j**4/5 + 816*j**3/5 + 936*j**2/5 + 96*j - 7. Solve q(x) = 0.
-2, -2/3, 10
Let z(a) = 5*a**2 + 10*a + 38. Let r be z(-7). Let p = r - 2767/13. Factor -p*f**3 - 2/13*f + 0 - 4/13*f**2.
-2*f*(f + 1)**2/13
Let s(h) be the third derivative of -h**8/100800 - h**7/1575 - h**6/240 - h**5/30 + h**3/6 + 2*h**2. Let m(o) be the third derivative of s(o). Factor m(l).
-(l + 1)*(l + 15)/5
Let x(i) be the second derivative of i**5/30 - 11*i**4/18 + 40*i**3/9 - 16*i**2 - 56*i - 2. Find m such that x(m) = 0.
3, 4
Factor -69*u + 1871 + u - 1871 + u**2.
u*(u - 68)
Let w(m) be the second derivative of -m**6/72 - m**5/3 - 10*m**4/3 + 11*m**3/6 - 15*m. Let f(v) be the second derivative of w(v). Factor f(j).
-5*(j + 4)**2
Suppose -3*j + 72 = j + 4*n, 84 = 5*j + 3*n. Find o, given that 25*o + o**3 + 2 + 5*o**4 - j*o**2 - 12 - 6*o**3 = 0.
-2, 1
Let x(c) = 0*c + 40 + 4*c + 24. Let q be x(-16). What is p in q + 1/3*p**2 + 1/3*p = 0?
-1, 0
Suppose -2*i - 14 = -9*i. Let u(y) = y - 6. Let s be u(6). Find j, given that 5/2*j**3 + 1/2*j + s - 2*j**i - j**4 = 0.
0, 1/2, 1
Let a(f) be the second derivative of 5*f**4/12 - 25*f**3/3 - 195*f**2/2 + 99*f. Factor a(v).
5*(v - 13)*(v + 3)
Let c be ((-205)/(-35) + -5)/(406/49 + -6). Factor -3/8*b - 3/8*b**2 + c + 3/8*b**3.
3*(b - 1)**2*(b + 1)/8
Let x(z) be the third derivative of 0*z - 2/15*z**5 - 4*z**2 + 0*z**3 + 0 + 1/3*z**4 + 1/60*z**6. Factor x(w).
2*w*(w - 2)**2
Suppose 6*p = -12, -5*t + 19*p = 16*p - 26. Suppose -1/2*r**3 + 1/2*r**5 - r**t + r**2 + 0*r + 0 = 0. What is r?
-1, 0, 1, 2
Let h be 14/2 - (-5 + -2 - -14). Find j such that 0*j**3 + 1/5*j**4 + h*j + 4/5 - j**2 = 0.
-2, -1, 1, 2
Suppose -292 - 1070*k + 250*k - 1308 - 970*k - 4*k**3 + 174*k - 416*k**2 = 0. Calculate k.
-100, -2
Let d(s) = 6*s**2 - 8*s - 1. Let b be d(4). Let h be (-2)/(-7) - (0 + (-3)/b). Factor 0*v**2 - h*v**3 + 0*v - 1/3*v**4 + 0.
-v**3*(v + 1)/3
Suppose 0*k = -5*k + 10. Factor 6*x + 4*x**4 + 0*x**5 + 4*x**k - 5*x + x**5 + 6*x**3.
x*(x + 1)**4
Let v = -312 - -318. Let b(s) be the second derivative of 3*s + 0*s**2 + 0*s**3 + 0 - 1/66*s**4 - 1/165*s**v - 1/55*s**5. Factor b(c).
-2*c**2*(c + 1)**2/11
Let m = 137215/3 + -45737. Determine v, given that m - 16/3*v + 16/3*v**3 - 4/3*v**2 = 0.
-1, 1/4, 1
Suppose 18 = 3*s + 3*d, 4*s + 3*d - 15 = 2*d. Factor 8*l**5 - 2*l**2 + 33*l**s - 48*l**4 + 8*l**5 - 4*l**2 + 5*l**5.
3*l**2*(l - 1)**2*(7*l - 2)
Let i be 34/221 - (279/(-130) - -2). Let r(q) be the first derivative of i*q**5 - q**3 + 3/2*q + 3/4*q**2 + 1/4*q**6 - 3 - 3/