 of -2*a**5/35 + a**4/7 + 2*a**3/3 + 4*a**2/7 + 814. Factor l(i).
-2*i*(i - 4)*(i + 1)**2/7
Let g(m) be the third derivative of -m**5/60 - 7*m**4/24 - 2*m**3 + m**2 - 71. Determine h so that g(h) = 0.
-4, -3
Suppose 5*c**2 - 10*c**2 - 11*c**2 + 43*c**3 - 45*c**3 = 0. What is c?
-8, 0
Factor 52*h**3 + 38*h**2 + 128*h**2 + 76*h**2 - 38*h**2 + 102*h**4 + 252*h - 98*h**4.
4*h*(h + 3)**2*(h + 7)
Let q(x) be the second derivative of -x**6/10 + 33*x**5/20 + 25*x**4/4 + 13*x**3/2 + 240*x. Factor q(w).
-3*w*(w - 13)*(w + 1)**2
Suppose 0 = -0*o - 15*o + 30. Let c(s) be the first derivative of 2 + 3*s**o + 1/2*s**4 - 2*s**3 - 2*s. Factor c(n).
2*(n - 1)**3
Let b(d) = 18*d**2 + 2*d - 6. Suppose 0 = -w - 2*v, -4*w + 15 = 2*v + 3. Suppose w = -3*g - g. Let i(s) = s - 1. Let a(f) = g*b(f) + 6*i(f). Factor a(m).
-2*m*(9*m - 2)
Let a = -1912 + 1914. Let -1/4*t + 0 + 1/4*t**3 + 1/4*t**a - 1/4*t**4 = 0. What is t?
-1, 0, 1
Let r(y) = 2*y**2 - 3*y - 490. Let l be r(-15). Find w, given that 2/11*w**l + 6/11*w**4 + 0*w + 2/11*w**2 + 6/11*w**3 + 0 = 0.
-1, 0
Let r(x) = 7*x**3 + 50*x**2 - 24*x - 3. Let u(d) = 15*d**3 + 102*d**2 - 48*d - 5. Let n(a) = 5*r(a) - 3*u(a). Determine k, given that n(k) = 0.
-6, 0, 2/5
Suppose 8/3*y**2 + 4/3*y**4 + 16/3*y**3 - 4 - 16/3*y = 0. What is y?
-3, -1, 1
Let c(k) = 3*k - 2. Let r be c(1). Let i be 1/(r*1/3). Factor 3*p**3 + 3*p**4 + p**2 + 3*p**i + 2*p**2.
3*p**2*(p + 1)**2
Let g(q) be the second derivative of -1/30*q**5 + 0*q**2 + 0*q**4 + 0*q**3 - 7*q + 0. Factor g(i).
-2*i**3/3
Let o(s) be the first derivative of s**4/18 - 4*s**3/9 + 5*s**2/9 + 8*s/3 - 26. Factor o(w).
2*(w - 4)*(w - 3)*(w + 1)/9
Let s(a) be the first derivative of -4*a**3 - 8*a**2 + 16*a - 192. Factor s(d).
-4*(d + 2)*(3*d - 2)
Factor 12/11*o**3 + 0 + 46/11*o**4 + 14/11*o**5 + 0*o**2 + 0*o.
2*o**3*(o + 3)*(7*o + 2)/11
Let t(j) = -47*j**4 - 1204*j**3 - 674*j**2 - 100*j. Let g(f) = 46*f**4 + 1204*f**3 + 673*f**2 + 102*f. Let v(u) = 2*g(u) + 3*t(u). What is h in v(h) = 0?
-24, -2/7, 0
Let x(h) be the second derivative of h**5/20 - 11*h**4/2 - h**3/6 + 33*h**2 + 206*h. Let x(w) = 0. What is w?
-1, 1, 66
Suppose 4*f - 3 - 1 = 0. Let n be (-208)/(-176) + -1*f. Suppose 12/11*a - n*a**2 - 18/11 = 0. Calculate a.
3
Let d(o) be the second derivative of -o**7/126 - o**6/15 - 3*o**5/20 - o**4/9 - 16*o - 2. Factor d(w).
-w**2*(w + 1)**2*(w + 4)/3
Let q(d) = d**2 - 5*d + 2. Let l be q(5). Let 7*c**3 + c**3 - c**l + c**2 + 4*c**2 + 4*c**4 = 0. Calculate c.
-1, 0
Suppose -34*l**4 + 6*l**2 - 4*l**4 + 12*l**5 - 24*l**2 + 27*l - 25*l + 53*l**3 - 11*l**3 = 0. Calculate l.
0, 1/6, 1
Suppose -b - b - 2 = 0. Let l be -3*(-1)/b + (-275)/(-77). Suppose 6/7*v**2 + 0 - 2/7*v**3 - 6/7*v**4 - 2/7*v**5 + l*v = 0. Calculate v.
-2, -1, 0, 1
Let u = -60 + 63. Factor -1 + 408*s**3 - 3 - 402*s**u - 6*s - 3*s**4 + 7.
-3*(s - 1)**3*(s + 1)
Let k be 4*4/(-24)*-18. Suppose 4*v - d - 6 = 3*v, 0 = -3*d - k. Suppose -j + v + 1 - 15*j + 12*j**2 + j = 0. What is j?
1/4, 1
Let y(b) be the second derivative of 0*b**2 - 3/7*b**7 - 3/10*b**5 - 8*b + 3/5*b**6 + 1/18*b**4 + 0 + 0*b**3. Suppose y(u) = 0. What is u?
0, 1/3
Suppose -b = -6*b - w + 1, -5*b - 4*w + 4 = 0. Let u(l) be the second derivative of -1/20*l**4 + 0 - 9*l + 1/10*l**3 + b*l**2. Suppose u(h) = 0. What is h?
0, 1
Let x = 81 - 34. Determine a so that -25*a**4 + 15*a + x*a**2 + 3*a**2 + 60*a**3 + 5*a**5 + 55*a**4 = 0.
-3, -1, 0
Let f(o) be the third derivative of o**6/120 - 7*o**5/60 + 7*o**4/24 + 5*o**3/2 - 3*o**2 + 6. Let f(q) = 0. Calculate q.
-1, 3, 5
Let k(h) be the first derivative of h**5 - 20*h**4 - 10*h**3/3 + 1320*h**2 + 5445*h - 80. Factor k(y).
5*(y - 11)**2*(y + 3)**2
Let u(k) be the third derivative of -k**6/90 + 8*k**5/15 - 69*k**4/8 + 529*k**3/18 + 142*k**2. Suppose u(z) = 0. Calculate z.
1, 23/2
Let y(v) = v**3 - 5*v. Let t be y(-2). Let q(d) be the second derivative of -1/60*d**6 + 1/24*d**4 + 0*d**t + 7*d - 1/40*d**5 + 1/12*d**3 + 0. Solve q(o) = 0.
-1, 0, 1
Factor -23/9*j + 22/9*j**3 + 1/9*j**5 - 11/9 + 13/9*j**4 - 2/9*j**2.
(j - 1)*(j + 1)**3*(j + 11)/9
Let u = 18 - 22. Let c(j) = 80*j**3 - 95*j**2 + 4*j + 5. Let p(t) = -80*t**3 + 96*t**2 - 4*t - 4. Let n(m) = u*c(m) - 3*p(m). Factor n(s).
-4*(s - 1)*(4*s + 1)*(5*s - 2)
Let z(a) be the first derivative of -a**6/16 + 141*a**5/40 - 1857*a**4/32 + 1585*a**3/8 - 561*a**2/2 + 363*a/2 + 206. Factor z(b).
-3*(b - 22)**2*(b - 1)**3/8
Let b(s) = s + 14. Let x be b(-11). Suppose -x*o = 2*o + 3*i + 5, -4*o + 2*i + 18 = 0. Factor -11*k**2 + o*k**2 + 5*k**3 + 12 + k**3 - 3*k**3.
3*(k - 2)**2*(k + 1)
Let l = -10599 - -10602. Let 3/5*c**l + 12/5*c + 12/5*c**2 + 0 = 0. Calculate c.
-2, 0
Let a be -7 - (-3)/(2 + -1). Let p(v) = -20*v**2 - 41*v - 10. Let o(f) = -40*f**2 - 81*f - 20. Let t(m) = a*o(m) + 9*p(m). Factor t(d).
-5*(d + 2)*(4*d + 1)
Let z(q) be the first derivative of -q**4/28 + 3*q**3/7 - 27*q**2/14 + 14*q + 8. Let p(g) be the first derivative of z(g). Solve p(f) = 0.
3
Let z(q) be the first derivative of q**6/18 + 4*q**5/15 + 5*q**4/12 + 2*q**3/9 - 42. Factor z(x).
x**2*(x + 1)**2*(x + 2)/3
Let d be ((-22)/(-3))/((-47)/(-141)). Let a be (1 + d/(-6))*(-252)/120. Factor -4/5 - 49/5*m**2 - a*m.
-(7*m + 2)**2/5
Let g(y) be the second derivative of -y**4/6 - 8*y**3/3 - 5*y**2 + 4*y. Let m be g(-7). Factor m*o**2 - 18*o - 15*o + 25*o + 4.
4*(o - 1)**2
Let q be 1*(-16)/10 - -2. Let y = 10 - 5. Find i, given that -2/5*i**4 + 2/5*i**2 + 0 - q*i + 6/5*i**3 - 4/5*i**y = 0.
-1, 0, 1/2, 1
Let g(k) = -3*k. Let c be g(-1). Factor 25*v**5 - 9*v - v - 65*v**4 + 45*v**c + 16*v**2 - 11*v**2.
5*v*(v - 1)**3*(5*v + 2)
Let f(y) = y - 5. Let i be f(7). Let d = 11373/145 + -2205/29. Suppose 8/5 + 0*m**i + d*m - 4/5*m**3 = 0. Calculate m.
-1, 2
Let f(t) be the first derivative of -2*t**5/75 - 2*t**4/5 + 26*t**3/45 + 107. Find l, given that f(l) = 0.
-13, 0, 1
Let r be 17/68 - 5/20. Solve r + 0*y**2 + 1/3*y**3 + 0*y = 0 for y.
0
Let o(s) be the first derivative of s**3/7 - 9*s**2/7 + 15*s/7 - 80. Factor o(b).
3*(b - 5)*(b - 1)/7
Let s = 337 - 10109/30. Let h(c) be the third derivative of 0 + 1/12*c**4 + 0*c**3 + s*c**5 + c**2 + 0*c. Determine k, given that h(k) = 0.
-1, 0
Let g(r) be the first derivative of 2/7*r**3 + 20 + 3/14*r**4 - 1/14*r**6 - 3/7*r - 3/35*r**5 - 3/14*r**2. Factor g(w).
-3*(w - 1)**2*(w + 1)**3/7
Let o be ((-15)/6)/(5 + (-150)/24). Find y such that -9*y**o - 7*y - 13*y**2 + 31*y + 19*y**2 - 21 = 0.
1, 7
Let y(w) be the second derivative of -w**4/30 - w**3/15 + 2*w**2/5 - 6*w + 8. Factor y(k).
-2*(k - 1)*(k + 2)/5
Suppose -36 = 6*y - 60. Let d(j) be the second derivative of 0 + 0*j**2 + 0*j**3 + 5*j - 1/18*j**y - 1/30*j**5. Find h, given that d(h) = 0.
-1, 0
Factor -107/2*w**2 - 55*w + 121/2 + 18*w**4 + 30*w**3.
(w - 1)**2*(6*w + 11)**2/2
Let z(w) be the second derivative of -w**6/90 + w**5/30 - 7*w**3/3 - w. Let v(b) be the second derivative of z(b). Factor v(m).
-4*m*(m - 1)
Suppose -5*s = -8 - 7. Let f = -2 + 5. Factor -3*n**5 + 3*n**2 - 2*n**s - 6*n**4 + f*n**4 + 2*n + 2*n**5 + n**3.
-n*(n - 1)*(n + 1)**2*(n + 2)
Let x(q) be the third derivative of -q**7/1365 + q**6/780 + q**5/26 + 23*q**4/156 + 10*q**3/39 + 43*q**2. Determine n, given that x(n) = 0.
-2, -1, 5
Let y(z) be the first derivative of -7*z**5 - 43*z**4/2 - 20*z**3/3 + 12*z**2 + 84. Factor y(l).
-l*(l + 2)*(5*l - 2)*(7*l + 6)
Solve -39/2*g - 15 + 3*g**4 + 21*g**3 + 12*g**2 - 3/2*g**5 = 0.
-2, -1, 1, 5
Let x(s) be the second derivative of 0*s**4 + 0*s**3 + 8/15*s**6 + 4/5*s**5 + 2/21*s**7 - 9*s + 0 + 0*s**2. Factor x(a).
4*a**3*(a + 2)**2
Let w(b) = -b**4 - b**3 - 1. Let a(g) = -10*g**4 - 38*g**3 + 80*g**2 - 72*g - 12. Let s(d) = -a(d) + 12*w(d). Factor s(y).
-2*y*(y - 9)*(y - 2)**2
Factor 1/5*x**3 - 6/5*x**2 + 36/5 - 31/5*x.
(x - 9)*(x - 1)*(x + 4)/5
Let b(t) = 7*t**3 - 67*t**2 - 70*t. Let d(s) = -s**3 + s**2. Let a(m) = b(m) + 2*d(m). Factor a(y).
5*y*(y - 14)*(y + 1)
Let z = 2153 - 8611/4. Suppose -3/4*y - 1 + z*y**2 = 0. What is y?
-1, 4
Suppose -4*r - 3*r + 21 = 0. Let c(h) = -h**3 + 3*h**2 + 3*h - 7. Let p be c(r). Suppose s**p - 3/2*s**4 + 1/2 + 1/2*s**5 - 3/2*s + s**3 = 0. What is s?
-1, 1
Let q(f) be the first derivative of 13*f**6/45 - 28*f**5/25 + 8*f**4/5 - 44*f**3/45 + f**2/5 - 400. Factor q(u).
2*u*(u - 1)*