 + 1. Let t(v) be the first derivative of 35*v**3/3 + 15*v**2 - 5*v + 4. Let z(u) = -34*g(u) - 6*t(u). Factor z(x).
-2*(x + 1)*(3*x + 2)
Let z(w) = w**2 + 16*w - 24. Let l be z(-17). Let c be 4 - l/(196/(-104)). Factor 0 + 2/7*b + c*b**2.
2*b*(b + 1)/7
Let i(l) be the third derivative of -1/420*l**7 + 1/3*l**3 + 0*l - 1/40*l**5 - 1/60*l**6 + 1/12*l**4 + 0 + l**2. Factor i(x).
-(x - 1)*(x + 1)*(x + 2)**2/2
Let m = 62/11 - 60/11. Suppose 8/11*r**5 - 14/11*r**4 + 4/11*r**3 + m*r**2 + 0 + 0*r = 0. Calculate r.
-1/4, 0, 1
Let b(z) be the first derivative of -1/30*z**6 + 1/10*z**4 - 1/5*z - 1/25*z**5 - 1/10*z**2 + 2/15*z**3 + 1. Factor b(x).
-(x - 1)**2*(x + 1)**3/5
Let j(b) be the second derivative of b**6/15 - 11*b**5/30 - 37*b**4/18 - 29*b**3/9 - 2*b**2 - 44*b. Find k such that j(k) = 0.
-1, -1/3, 6
Suppose 0 + 1/7*h**5 - 1/7*h**3 + 0*h**4 + 0*h**2 + 0*h = 0. Calculate h.
-1, 0, 1
Suppose 2*z = 4*a - 18, 4*a = a - 4*z - 14. Let i(r) be the second derivative of -1/80*r**5 + 0*r**3 + 1/120*r**6 + 2*r + 0*r**4 + 0*r**a + 0. Factor i(v).
v**3*(v - 1)/4
Solve s**3 + 0 - 1/2*s**2 - s + 1/2*s**4 = 0 for s.
-2, -1, 0, 1
Let p(t) be the third derivative of t**5/120 - t**4/24 + t**3/12 - 2*t**2. What is c in p(c) = 0?
1
Suppose -4*g + 20*k - 17 = 25*k, 4*g + 3*k = -7. Factor -2/3*t**3 - 14/9*t + 16/9*t**g + 4/9.
-2*(t - 1)**2*(3*t - 2)/9
Let j(q) = -q**4 - 2 + q**2 + q**3 + 2. Let d(c) = c**4 + 11*c**3 + 3*c**2 - 8*c - 4. Let m(f) = -d(f) + 3*j(f). Let m(t) = 0. Calculate t.
-1, 1
Solve -38/5*q - 1/5*q**2 - 361/5 = 0 for q.
-19
Let z(c) be the second derivative of c**5/50 + c**4/15 + c**3/15 + 28*c. Find j, given that z(j) = 0.
-1, 0
Let f = 4 - -4. Find t such that 0 - 22*t - 32*t**4 + 14*t**5 + 5*t**2 + f*t**3 + 23*t**2 + 4 = 0.
-1, 2/7, 1
Let i = -397/5 - -1211/15. Factor -i*b**2 + 0 + 4*b.
-4*b*(b - 3)/3
Let j(t) = -t**3 + 8*t**2 - 7*t - 2. Let u be j(7). Let q be (-22)/(-6) - 2/u. Find k such that -4/3 + 14/3*k**2 - 8*k**3 + q*k = 0.
-2/3, 1/4, 1
Let y = 1206 + -1203. What is p in 81/4 + 1/4*p**4 + 27/2*p**2 + 27*p + y*p**3 = 0?
-3
Let x = -5/3 - -2. Let v be -6*(5/(-2) - -2). Factor -x*q**v + q**2 - q + 1/3.
-(q - 1)**3/3
Let m(c) = -6 - 7*c + 0 + c**2 - c**2 - c**2. Let r be m(-6). Factor 11*l - 3*l - 5*l**2 + l**3 - 4 + r*l**3 + 0.
(l - 2)**2*(l - 1)
Let y(p) = -p**3 + 23*p**2 - 22*p + 2. Let x be y(22). Solve 0 - 6/11*f**5 - 4/11*f - 2/11*f**x + 10/11*f**3 + 2/11*f**4 = 0.
-1, -2/3, 0, 1
Let n be (-4)/(-2) - (3 - -1). Let h(d) = d + 2. Let x be h(n). Factor x*k**5 - k + 3*k - 4*k**3 - 2 + 2*k**5 + 4*k**2 + 0*k**2 - 2*k**4.
2*(k - 1)**3*(k + 1)**2
Let v(t) be the first derivative of 2/3*t**3 + 1/2*t**2 + 0*t + 1/4*t**4 - 1. Factor v(u).
u*(u + 1)**2
Factor 4*u**2 + 2*u**5 - 4*u**3 - 92 + 90 - 2*u**4 + 2*u + 0*u**3.
2*(u - 1)**3*(u + 1)**2
Factor 9*p**2 - 59*p - 4*p**2 + 24*p.
5*p*(p - 7)
Let t = 8 - -11. Let f = 39/2 - t. Factor 1/2 - f*h**2 + 1/4*h - 1/4*h**3.
-(h - 1)*(h + 1)*(h + 2)/4
Factor 3*w**2 - 6*w**3 - w - w**2 + 5*w**3.
-w*(w - 1)**2
Let f(b) be the first derivative of -b**4/10 - 2*b**3/5 - 3*b**2/5 - 2*b/5 + 1. Determine p so that f(p) = 0.
-1
Let j(d) be the first derivative of -1/3*d**3 - d**2 + 0*d - 1. Factor j(x).
-x*(x + 2)
Suppose 0 = 22*f - 33*f + 33. Let z be -2*(-2)/(40/2). Suppose 0*y + 0*y**2 + 1/5*y**5 + z*y**f - 2/5*y**4 + 0 = 0. Calculate y.
0, 1
Let n(x) = -x**5 + x**4 - 4*x**2 + 4. Let f(h) = -3*h**5 + 3*h**4 - 9*h**2 + 9. Let s(r) = 4*f(r) - 9*n(r). Suppose s(k) = 0. Calculate k.
0, 1
Let b be (-1 - (-3)/(-5))*-5. Determine d so that -b*d**2 - 5 - 5*d + d**2 + 4 - 3*d**3 = 0.
-1, -1/3
Let l(u) be the third derivative of 0*u + 0*u**4 + 1/20*u**5 + 0 + 1/40*u**6 + 0*u**3 - 5*u**2. What is x in l(x) = 0?
-1, 0
Factor 8/3*a - 5/3*a**2 + 1/3*a**3 - 4/3.
(a - 2)**2*(a - 1)/3
Let 9/7*k**2 - 6/7*k - 3/7 = 0. Calculate k.
-1/3, 1
Let r = 14 - 11. Let -3 + 3 + 3*v**r - 3*v**4 + 3*v**2 - 3*v = 0. What is v?
-1, 0, 1
Suppose 0 = 4*g + 4*w + 32, -g - 12 = 6*w - 4*w. Let d be 2/g + (-7)/(-14). Suppose 1/2*r + 1/2*r**2 + d = 0. What is r?
-1, 0
Let v(j) be the third derivative of 0*j**4 + 1/840*j**7 + 0*j**6 + 0*j**5 - 1/1344*j**8 + 0*j + 0*j**3 + 0 + j**2. What is a in v(a) = 0?
0, 1
Let a = 97 + -290/3. Factor 0*i**2 + 1/3*i**3 - a*i + 0.
i*(i - 1)*(i + 1)/3
Let f(o) be the second derivative of -1/9*o**2 - 1/135*o**6 + 1/27*o**4 + 1/45*o**5 - 1/189*o**7 - 1/27*o**3 + 0 + 6*o. Factor f(h).
-2*(h - 1)**2*(h + 1)**3/9
Find u such that -1/5 + 2/5*u - 1/5*u**2 = 0.
1
Suppose -2*v = 4*j - v - 5, 3*j - 15 = 3*v. Suppose 0*m**3 - 19*m**2 + 5*m**2 + 30*m + j*m**3 - 18 = 0. Calculate m.
1, 3
Let w = -3/106 + 221/318. Factor 7/3*m - w - m**2.
-(m - 2)*(3*m - 1)/3
Suppose -4*j + 2*j = -6. Suppose -j*p - 3 = 0, 5*p = -4*k + p + 12. Determine h so that -20*h**4 + 3*h**4 - k*h**2 + 20*h**3 - 12*h**4 + 4*h**4 = 0.
0, 2/5
Let b be (15/10)/((-2)/(-4)). Let t(k) = k**2 - 1. Let d be t(2). Factor d*w**2 + 7*w**3 - 2*w**2 - b*w**2.
w**2*(7*w - 2)
Factor -3*c**4 + 2*c**5 + 16*c**3 - 13*c**3 - 5*c**5 + 0*c**3 + 3*c**2.
-3*c**2*(c - 1)*(c + 1)**2
Suppose 7*l = 38 + 11. Let q(u) be the third derivative of 0*u + 1/2*u**4 + 1/84*u**8 + 4/15*u**6 + 1/3*u**3 - 3*u**2 + 0 + 3/35*u**l + 7/15*u**5. Factor q(d).
2*(d + 1)**4*(2*d + 1)
Suppose 0 = 2*a - 2 - 2. Let y(x) be the second derivative of -1/18*x**3 - 1/18*x**4 + 2*x - 1/60*x**5 + 0 + 0*x**a. Determine b, given that y(b) = 0.
-1, 0
Let g(y) = y**2 - 7*y + 13. Let a(t) = -3*t + 6. Suppose -18 = 5*l - 53. Let p = 6 - 9. Let m(v) = l*a(v) + p*g(v). Find q, given that m(q) = 0.
-1, 1
Let -o - 15 - 13*o + 14*o**3 + 6*o**2 - 10*o**4 + 19 = 0. What is o?
-1, 2/5, 1
Suppose 0*i + 0 + 2/13*i**5 - 2/13*i**4 + 2/13*i**2 - 2/13*i**3 = 0. What is i?
-1, 0, 1
Suppose 2*z - 4 = -0. What is j in 0*j**3 + 16*j + 2 + 10*j**2 - 16*j**4 - 4*j**3 + 4*j**z - 7*j**5 - 5*j = 0?
-1, -2/7, 1
Find f, given that 0 + 0*f**2 + 0*f - 1/3*f**3 + 1/3*f**4 = 0.
0, 1
Let m(p) be the first derivative of -6*p - 2 + 2*p**3 - 3/4*p**4 + 3/2*p**2. Solve m(j) = 0 for j.
-1, 1, 2
Let t = -96658/7 + 13661. Let i = -147 - t. What is s in i*s**5 + 12/7*s**3 + 0 + 2/7*s - 8/7*s**4 - 8/7*s**2 = 0?
0, 1
Let c(h) = -10*h**3 - 18*h**2 + 18*h - 6. Let m(t) = 3*t**3 + 6*t**2 - 6*t + 2. Let s(b) = 5*c(b) + 16*m(b). Factor s(z).
-2*(z - 1)**3
Factor -42*j + 6*j**2 - 2/7*j**3 + 98.
-2*(j - 7)**3/7
Let b be 2/5 + (-56)/10. Let u = b - -83/15. Solve u*h**3 - 1/3*h - 1/3*h**2 + 1/3 = 0 for h.
-1, 1
Let t(f) be the third derivative of 1/360*f**6 + 1/60*f**5 + 0*f + 1/9*f**3 + 3*f**2 + 0 - 5/72*f**4 - 1/630*f**7. Factor t(i).
-(i - 1)**3*(i + 2)/3
Let m(b) be the first derivative of -1/60*b**5 - b + 0*b**6 + 2 + 0*b**3 + 1/126*b**7 + 0*b**4 + 0*b**2. Let l(n) be the first derivative of m(n). Factor l(y).
y**3*(y - 1)*(y + 1)/3
Let z = -2/651 - -746/651. Find p such that -z*p - 2/7*p**2 - 6/7 = 0.
-3, -1
Let w(b) be the second derivative of b**5/30 - 11*b**4/54 + 4*b**3/9 - 4*b**2/9 + 25*b. Solve w(v) = 0 for v.
2/3, 1, 2
Factor 0 + 10/11*u**4 + 4/11*u**3 + 0*u**2 + 0*u.
2*u**3*(5*u + 2)/11
Suppose 18 = 5*t - 87. Let j be ((240/t)/2)/2. Factor -108/7*l**3 - j*l + 72/7*l**2 + 2/7 + 54/7*l**4.
2*(l - 1)*(3*l - 1)**3/7
Let z(a) be the third derivative of 5*a**5/12 - 5*a**4/3 + 5*a**3/2 - 11*a**2 - a. Factor z(h).
5*(h - 1)*(5*h - 3)
Suppose j - 91 = 2*i - 98, -i - 1 = -2*j. Let 10/3*w**2 + 0 - 2*w**5 - 10/3*w**4 + 2/3*w**j + 4/3*w = 0. What is w?
-1, -2/3, 0, 1
Let s(v) be the first derivative of -2*v**5/5 + 14*v**3/3 + 6*v**2 + 24. What is t in s(t) = 0?
-2, -1, 0, 3
Let t(a) be the third derivative of 3*a**2 + 0*a**3 + 0*a - 1/12*a**4 + 1/30*a**5 + 0. Determine k so that t(k) = 0.
0, 1
Let g be 26/10 + 8/20. Let -g*q**3 - 3*q**3 + q**2 + 3*q**2 + 4*q**3 = 0. What is q?
0, 2
Let z(p) be the third derivative of -p**6/720 - p**5/240 + p**4/24 - 2*p**3/3 - 6*p**2. Let w(j) be the first derivative of z(j). Determine q so that w(q) = 0.
-2, 1
Let j(g) be the second derivative of g**4/18 - 4*g**3/9 + 4*g**2/3 + 3*g. Factor j(p).
2*(p - 2)**2/3
Suppose -18 = -4*j - 4*h - h, 0 = -j + h. Let q(g) be the first derivative of -1/2*g**j + 1/6*g**3 + 1 + 1/2*g. Solve q(y) = 0.
1
Suppose -3*z = -4*d - 0*d - 1, z - 2*d = -1. Factor 4 + z*p + 2*p - 2 + 2*p**2 - p.
2*(p + 1)**2
Sup