+ 41*c**4 - 73*c**4.
2*(c - 10)*(c - 3)*(c - 1)**3
Suppose 14 = 3*f - f + 3*n, -2*n = -2*f + 24. Factor f*c**4 - 2*c**4 + 5*c + 2 - 9*c**4 - 2*c - c**2 - 3*c**3.
-(c - 1)*(c + 1)**2*(c + 2)
Let k(v) be the third derivative of v**6/30 - v**4/2 + 4*v**3/3 + 129*v**2. Factor k(n).
4*(n - 1)**2*(n + 2)
Suppose -5*v - 4*n = -42, -2*v + 6*v - 3*n - 15 = 0. Let l be 32/7 - v/(-14). Let 6*y**5 - y**l - 5*y**4 - 9*y**3 + 0*y**5 - y**3 = 0. Calculate y.
-1, 0, 2
Let n(p) be the third derivative of 3721*p**6/720 - 3599*p**5/180 - 121*p**4/36 - 2*p**3/9 + 59*p**2. Factor n(u).
(u - 2)*(61*u + 2)**2/6
Suppose 17*u = 6*u + 12*u. Factor 1/6*c**3 + 1/3*c**2 + u + 1/6*c.
c*(c + 1)**2/6
Let v(h) be the third derivative of h**5/12 - 35*h**4/12 + 65*h**3/6 - 606*h**2. Factor v(q).
5*(q - 13)*(q - 1)
Let y = -2844 + 11391/4. Let m(d) be the second derivative of 3*d - 5/42*d**7 - 5/6*d**6 - 3/4*d**5 + y*d**4 + 0*d**3 + 0*d**2 + 0. Factor m(v).
-5*v**2*(v - 1)*(v + 3)**2
Let k(v) be the second derivative of 11/21*v**7 - 2*v**2 + 19/3*v**3 - 28/3*v**4 + 37/5*v**5 - 46/15*v**6 + 0 + 23*v. Factor k(m).
2*(m - 1)**4*(11*m - 2)
Suppose -14*i = -7*i - 126. Let h = i - 143/8. What is y in h*y**2 - 1/8*y + 0 + 1/8*y**3 - 1/8*y**4 = 0?
-1, 0, 1
Let s(q) be the third derivative of q**7/7560 - q**6/1080 + q**5/360 + q**4/12 + 11*q**2. Let l(d) be the second derivative of s(d). Find p such that l(p) = 0.
1
Let z be (-8)/(-20) - (-48)/30. Factor a - 5*a**2 + 0*a + z*a - 8*a.
-5*a*(a + 1)
Suppose -4*t - 528 = 36. Let m = 707/5 + t. Factor 2/5 - 2/5*k**2 + 2/5*k - m*k**3.
-2*(k - 1)*(k + 1)**2/5
Let g = -440 + 443. Let b(r) be the second derivative of -3/4*r**4 + 0 - g*r**2 + r + 5/2*r**3. Factor b(x).
-3*(x - 1)*(3*x - 2)
Let c(b) be the second derivative of b**5/110 + 7*b**4/66 - 8*b**3/33 + 85*b. Factor c(w).
2*w*(w - 1)*(w + 8)/11
Let 0*m**3 + 98*m**2 - 146*m**2 - 47*m**2 - 2*m**3 - 3*m**3 = 0. Calculate m.
-19, 0
Factor 0 + 88/3*d + 4/3*d**2.
4*d*(d + 22)/3
Let u be -91 - -98 - -2*1/2. Let s(g) be the second derivative of 0 - 3*g**2 + u*g + 1/4*g**4 - 1/2*g**3. Factor s(x).
3*(x - 2)*(x + 1)
Let b(n) = n + 13. Let i be b(-7). Let -21*o**3 - 24*o**2 - i*o**4 + 14*o**4 + 12*o + 7*o**4 = 0. Calculate o.
-1, 0, 2/5, 2
Let u(q) = -5*q**2 + 45*q + 5. Let s(i) = -4 - 2 - i + 0*i + 5. Let f(j) = -25*s(j) - u(j). Factor f(z).
5*(z - 2)**2
Let 14/3*i**5 + 8/3*i**4 + 0*i + 0 - 34/3*i**3 + 4*i**2 = 0. What is i?
-2, 0, 3/7, 1
Let s(b) be the third derivative of -b**7/315 + b**6/36 - 7*b**5/90 + b**4/12 - 86*b**2. Factor s(w).
-2*w*(w - 3)*(w - 1)**2/3
Let h(i) = -4*i**3 + 68*i**2 - 64*i + 2. Let w(z) = -13*z**3 + 205*z**2 - 192*z + 7. Let y(d) = 7*h(d) - 2*w(d). Factor y(p).
-2*p*(p - 32)*(p - 1)
What is z in -64*z**3 + 6*z - z**4 + 62*z**3 + 33*z**2 - 28*z**2 = 0?
-3, -1, 0, 2
Let h(y) be the second derivative of y**6/2 - y**5 - 5*y**4/12 + 5*y**3/3 + 72*y. Find i such that h(i) = 0.
-2/3, 0, 1
Let t(d) be the third derivative of -9*d**6/80 - 37*d**5/20 + 65*d**4/16 + 9*d**3/2 - d**2 - 64*d. Determine b, given that t(b) = 0.
-9, -2/9, 1
Let w = 74/3 - 49/2. Let m(u) be the second derivative of 9/7*u**2 + 6*u - 5/7*u**3 + w*u**4 - 1/70*u**5 + 0. Suppose m(l) = 0. Calculate l.
1, 3
Let -11/4*r**2 + 3*r + 1/4*r**3 + 3/4*r**4 - 1 - 1/4*r**5 = 0. Calculate r.
-2, 1, 2
Suppose 0 = -6*x + 7*x + 11*x. Let z(k) be the third derivative of 0 - 1/200*k**6 + x*k**7 - 3*k**2 + 0*k**4 + 0*k**5 + 1/560*k**8 + 0*k**3 + 0*k. Factor z(q).
3*q**3*(q - 1)*(q + 1)/5
Let r(u) = 98*u + 2914. Let i be r(-29). Solve -96 + i*k + 3/2*k**3 + 45/2*k**2 = 0.
-8, 1
Let j(l) = 29*l - 3564. Let c be j(123). Factor 12/5*u**2 + 8/5*u + 4/5*u**c + 0.
4*u*(u + 1)*(u + 2)/5
Let i be (2/6)/(-11 - 1232/(-96)). Factor 0 - 10/11*u - i*u**2.
-2*u*(u + 5)/11
Let -1/2*q**2 - 3/2 - 2*q = 0. Calculate q.
-3, -1
Let v(a) be the first derivative of 3*a**5/140 - a**4/21 - 2*a**3/21 - 42*a - 6. Let l(k) be the first derivative of v(k). Let l(b) = 0. Calculate b.
-2/3, 0, 2
Let v(f) be the third derivative of 0*f + 0 + 1/480*f**6 - 1/24*f**4 + 1/240*f**5 - 1/6*f**3 + f**2. Suppose v(j) = 0. What is j?
-2, -1, 2
Let o(p) be the first derivative of p**4/6 - 2*p**3 + 8*p**2 - 32*p/3 - 438. Find d such that o(d) = 0.
1, 4
Let m(a) be the third derivative of -a**10/30240 - a**9/6048 - a**8/4032 + 5*a**5/12 + 18*a**2. Let f(l) be the third derivative of m(l). Factor f(y).
-5*y**2*(y + 1)**2
Let p(l) = 21*l. Let b be p(0). Determine n, given that b - 1/4*n**3 - 1/4*n**2 + 1/2*n = 0.
-2, 0, 1
Let b(c) be the third derivative of 0*c - 1/2*c**4 + 5*c**2 - 3 + 0*c**3 - 2/5*c**5 + 1/8*c**6. Factor b(p).
3*p*(p - 2)*(5*p + 2)
Let c = -153 - -157. Let s be c*(-2 - (-427)/210). Factor -s*y**2 + 8/15*y - 2/5.
-2*(y - 3)*(y - 1)/15
Determine n so that -2/5*n**5 + 0*n + 12/5*n**2 + 2*n**3 + 0 - 4/5*n**4 = 0.
-3, -1, 0, 2
Suppose -t + 3*k = -2 - 8, 5*t + 2*k = 16. Let w(p) be the third derivative of 2/27*p**3 - 1/108*p**t - 1/270*p**5 + 0*p + 0 + 4*p**2. Factor w(c).
-2*(c - 1)*(c + 2)/9
Determine c, given that -1/6*c**2 + 1/2 - 1/3*c = 0.
-3, 1
Let g(t) be the first derivative of -55 + 50/9*t**3 - 2/3*t**2 - 14/15*t**5 + 2/9*t**6 - 16/3*t - 5/3*t**4. Let g(p) = 0. What is p?
-2, -1/2, 1, 4
Let z = 900 - 2692/3. Let g(h) be the second derivative of -1/3*h**4 - z*h**3 - 10*h - 8*h**2 + 0. Determine b, given that g(b) = 0.
-2
Let d be -24 - 480/(25 - 45). Factor 0 + d*t + 1/2*t**3 + 1/4*t**2 + 1/4*t**4.
t**2*(t + 1)**2/4
Let h be (-6)/(-33) - 766/(-22) - 0. Let o = h + -33. Solve 0 + 3/2*l**4 + 0*l**3 - 3/2*l**o + 0*l = 0.
-1, 0, 1
Suppose -5*u + 619 = 119. Solve 8*i**2 + 25*i**2 - 72*i - 104*i**3 + u*i**3 + 16 = 0.
1/4, 4
Let p(d) be the third derivative of d**6/1140 - 7*d**5/285 + 65*d**4/228 - 100*d**3/57 - 274*d**2. Factor p(j).
2*(j - 5)**2*(j - 4)/19
Let c(w) be the first derivative of 1/15*w**3 - 13 - 6/5*w + 1/10*w**2. Factor c(p).
(p - 2)*(p + 3)/5
Let o be ((-5)/(-2))/((-20)/(-16)). Suppose o*v - 12 = -2*q, 3*q + 5*v = 3*v + 15. Find n, given that 4/9*n**5 + 0 + 8/9*n**2 - 4/3*n**q + 0*n + 0*n**4 = 0.
-2, 0, 1
Let r(w) be the second derivative of w**6/30 - 2*w**4/3 + 8*w**2 + 100*w. Solve r(i) = 0 for i.
-2, 2
Let n(t) be the third derivative of -1/96*t**4 - 1/12*t**3 + 1/480*t**6 + 0*t + 22*t**2 + 1/120*t**5 + 0. What is f in n(f) = 0?
-2, -1, 1
Let d(z) be the second derivative of 3*z**2 + 0 - 11*z - 1/4*z**4 + 1/2*z**3. Factor d(c).
-3*(c - 2)*(c + 1)
Let f(y) = 6*y + 3. Let w be f(0). Determine o so that 0*o + 0 - 4/11*o**5 + 6/11*o**2 - 14/11*o**4 - 4/11*o**w = 0.
-3, -1, 0, 1/2
Let q(w) be the first derivative of w**3/6 + 79*w**2/4 - 40*w - 311. Determine c so that q(c) = 0.
-80, 1
Let h be (-24)/30*10/(-4). Factor 23*o + 4*o**h - 23*o.
4*o**2
Let m(o) = -o**2 - 1. Let v(b) = 22*b**2 + 19*b + 7. Let n be 0 - -19 - (5 + -1). Let g(u) = n*m(u) + 3*v(u). Factor g(k).
3*(k + 1)*(17*k + 2)
Let p(h) = 2*h**2 + 8*h. Let t(n) = n + 2*n - 2*n. Let s = 48 - 47. Let j(m) = s*p(m) - 6*t(m). Solve j(k) = 0.
-1, 0
Let t(c) be the first derivative of c**4/8 + 29*c**3/6 - 91. Factor t(v).
v**2*(v + 29)/2
Let s = -6335/2 + 3168. Find x such that 3 - 1/2*x**2 - s*x = 0.
-3, 2
Find b, given that -18 - 7*b**2 - 38*b + 56 - 11 + 6*b**2 + 53 = 0.
-40, 2
Let r(m) be the second derivative of -m**4/42 + 22*m**3/21 - 3*m**2 + 3*m + 39. Find a, given that r(a) = 0.
1, 21
Let x(b) be the second derivative of b**5/30 - b**4/9 + b**3/9 + 30*b - 2. Factor x(d).
2*d*(d - 1)**2/3
Let b(f) be the third derivative of 5*f**6/8 - 23*f**5/2 - 791*f**4/8 - 294*f**3 + 937*f**2. Factor b(x).
3*(x - 12)*(5*x + 7)**2
Let c(q) be the third derivative of q**5/140 - 11*q**4/14 + 123*q**3/14 + 4*q**2 - 3*q. Factor c(b).
3*(b - 41)*(b - 3)/7
Let x(j) be the first derivative of 7/9*j**2 - 2/9*j**3 - 4/9*j**4 - 57 + 8/45*j**5 - 4/9*j. Find c, given that x(c) = 0.
-1, 1/2, 2
Let z(r) be the first derivative of -r**7/3360 - r**6/720 + r**5/160 - 13*r**3/3 + 10. Let g(p) be the third derivative of z(p). Factor g(o).
-o*(o - 1)*(o + 3)/4
Let y(g) = -g - 8. Let o be y(-12). Suppose -2*l = -3*k + 16, o*k - 3*l = -5*l - 2. Factor 3/4*p**k + 0*p + 0.
3*p**2/4
Let z = -88/9 + 203/18. Factor z*u**2 - 1/2*u**3 + 1/2 - 3/2*u.
-(u - 1)**3/2
Let p(l) be the second derivative of -35*l**4/12 + 15*l**3 +