 -1572 + 1566 = -3*b. Factor 0 - 4/7*t**b - 12/7*t.
-4*t*(t + 3)/7
Let a(s) = 2*s**2 - 64*s + 3. Let j be a(32). Find k such that -2/3*k**2 + 0 - k**j + 1/3*k**5 + 0*k**4 + 0*k = 0.
-1, 0, 2
Suppose -9*b + 183 = 52*b - 0*b. Factor 0 - 3/5*t**b - 1/5*t + 4/5*t**2.
-t*(t - 1)*(3*t - 1)/5
Let r(d) be the second derivative of -5/24*d**3 + 22*d + 0 - 1/48*d**4 - 1/2*d**2. Determine y so that r(y) = 0.
-4, -1
Let s = 16 + -11. Suppose -15*i - 12 = -21*i. Let -2/3*u**4 + 0*u**3 + 0*u**i + 0 + 0*u + 2/3*u**s = 0. Calculate u.
0, 1
Factor -21/4 - 15/8*n + 3/8*n**2.
3*(n - 7)*(n + 2)/8
Suppose -5*r = -8 - 12. Let 2*p**5 + 4*p**4 + 8*p**r - 6*p**4 = 0. What is p?
-3, 0
Factor 150*m**2 + 80000 + 5/4*m**3 + 6000*m.
5*(m + 40)**3/4
Let l(a) be the second derivative of a**6/45 + 3*a**5/5 + 61*a**4/18 - 20*a**3 + 100*a**2/3 + a - 10. Find o, given that l(o) = 0.
-10, 1
Let x(p) = 77*p - 95*p + 5 - 6*p**4 + 22*p**3 - 14*p**2 + 9. Let z(o) = -o**4 + o**3 - o**2 + o - 1. Let r(f) = -x(f) + 2*z(f). Find s, given that r(s) = 0.
-1, 1, 4
Let f = 221/324 + -35/81. Factor 11/4*z**4 - f*z**5 + 73/4*z**2 + 4 - 14*z - 43/4*z**3.
-(z - 4)**2*(z - 1)**3/4
What is j in 2/7*j + 5/7*j**2 + 1/7*j**4 + 0 + 4/7*j**3 = 0?
-2, -1, 0
Suppose 30*n - 57*n = -20*n - 28. What is s in 18/5 - 8/5*s**3 - 4/5*s**2 + 24/5*s + 2/5*s**n = 0?
-1, 3
Let o(r) be the third derivative of r**5/180 - 17*r**4/6 + 578*r**3 - 4*r**2 + 56. Let o(p) = 0. Calculate p.
102
Let m = -55 - -57. Let v be -7 - -4 - (m + (-31)/6). Solve -8/3*p**4 - v - 7/6*p - 2/3*p**5 - 19/6*p**2 - 25/6*p**3 = 0 for p.
-1, -1/2
Let l be -5*20/(-75)*6. Let m be (l/(-40) - 14/30)*-3. Factor -2/3 - 2*b**3 + m*b + 2/3*b**2.
-2*(b - 1)*(b + 1)*(3*b - 1)/3
Let j = -295 + 301. Let y(h) be the second derivative of 4*h + 1/15*h**j + 0 - 9/40*h**5 + 1/4*h**4 - 1/12*h**3 + 0*h**2. Solve y(t) = 0.
0, 1/4, 1
Let c(r) be the first derivative of -30 + 14/15*r**3 - 4/5*r - r**2. Solve c(h) = 0 for h.
-2/7, 1
Solve -2089*f + 1157*f - 12*f**2 + 64*f**2 + 2*f**3 + 1270*f = 0 for f.
-13, 0
Factor 12*m**2 + 4545 + 3*m**3 - 4545 - 15*m.
3*m*(m - 1)*(m + 5)
Suppose -3/8*v**5 + 3/4*v**4 + 0*v**3 + 3/8*v + 0 - 3/4*v**2 = 0. What is v?
-1, 0, 1
Let d(t) = -15*t + 2. Let q be d(-1). Let m = q - 118/7. Factor 0*h**3 + m*h**2 - 1/7*h**4 + 0 + 0*h.
-h**2*(h - 1)*(h + 1)/7
Let o be (1 - -1) + 1 + 7. Suppose -2*p - 4*i = 0, -4*i - 2 + o = 4*p. Suppose -4*w**3 + 55*w**2 - 2 + 20*w**p - 10*w + 2 - 61*w**3 = 0. Calculate w.
0, 1/4, 1, 2
Let b be ((-2)/((-8)/(-12)))/(9/(-12)). Suppose 7 = -5*a + 32. Factor 2*z**5 - 5*z**a - 2*z**4 - 6*z**3 + 11*z**b.
-3*z**3*(z - 2)*(z - 1)
Let z(m) be the first derivative of m**6/6 + m**5/5 - 3*m**4/4 - m**3/3 + m**2 + 31. Suppose z(q) = 0. Calculate q.
-2, -1, 0, 1
Let v(c) be the third derivative of -c**5/240 - 5*c**4/32 - 118*c**2. Solve v(g) = 0.
-15, 0
Let q(f) be the third derivative of -f**8/144 + 22*f**7/945 - 5*f**6/216 + f**5/270 - 6*f**2 + 3*f. Let q(m) = 0. Calculate m.
0, 2/21, 1
Let p be 40/(-140) + 383/140. Let c(q) be the first derivative of 4/5*q + 3 + 12/5*q**2 - p*q**4 + 7/5*q**3. Find r such that c(r) = 0.
-2/7, 1
Let i(y) be the first derivative of 2/5*y**5 - 6*y - 16 - 8*y**2 + 0*y**4 - 4*y**3. Factor i(t).
2*(t - 3)*(t + 1)**3
Let i(v) be the third derivative of 3*v**2 + 1/24*v**4 + 13/120*v**5 + 23/420*v**7 + 7/60*v**6 + 0*v**3 + 0*v + 1/112*v**8 + 0. Determine p so that i(p) = 0.
-2, -1, -1/2, -1/3, 0
Let g(a) be the third derivative of -a**6/24 - 5*a**5/12 + 5*a**4/6 + 50*a**3/3 + 2*a**2 - 9. Factor g(b).
-5*(b - 2)*(b + 2)*(b + 5)
Let v = 3958/355 - -32/71. Factor -v*m - 12/5 - 56/5*m**2.
-2*(4*m + 3)*(7*m + 2)/5
Let n(g) be the third derivative of 1/600*g**6 + 0*g**4 + 0*g**5 - 25*g**2 + 0*g - 1/1680*g**8 + 0*g**7 + 0*g**3 + 0. Factor n(d).
-d**3*(d - 1)*(d + 1)/5
Let c(r) be the third derivative of -r**7/420 + 11*r**6/480 - r**5/20 - r**4/96 + r**3/6 + 443*r**2. Suppose c(m) = 0. Calculate m.
-1/2, 1, 4
Let w(m) = -16*m**4 + 68*m**3 - 72*m + 28. Let j(q) = -q**4 - q**2 + q - 1. Let i(h) = -4*j(h) - w(h). Determine v so that i(v) = 0.
-1, 2/5, 1, 3
Let m(u) be the second derivative of -6*u**4/7 - 5*u**3/3 - 6*u**2/7 + 6*u - 30. Let m(a) = 0. What is a?
-3/4, -2/9
Factor -1/4*z**3 - z**2 + 1/4*z**4 + z + 0.
z*(z - 2)*(z - 1)*(z + 2)/4
Let h(v) be the second derivative of 0 - 1/42*v**4 + 0*v**2 + 1/7*v**3 + v. Factor h(t).
-2*t*(t - 3)/7
Let i(y) be the third derivative of 0*y + 0 - 1/150*y**5 - 1/60*y**4 - 6*y**2 + 0*y**3 + 1/525*y**7 + 1/300*y**6. Solve i(z) = 0.
-1, 0, 1
Let j(l) be the first derivative of -1/3*l**3 - 1/4*l**4 - 2 + 0*l**2 + 0*l. Factor j(v).
-v**2*(v + 1)
Suppose -1/4*a**2 - 7/2*a + 0 = 0. What is a?
-14, 0
Suppose -4*s = 5*z - 4, 0*z + 3*s = -2*z - 4. Factor 3*w**5 + 16*w - 24*w + 4*w**3 + w**5 - 12*w**2 + 12*w**z.
4*w*(w - 1)*(w + 1)**2*(w + 2)
Let g(z) be the first derivative of 6859*z**4/2 - 2166*z**3 + 513*z**2 - 54*z + 150. Let g(w) = 0. Calculate w.
3/19
Let y be (-10 + 12)/((-12)/3)*-6. What is c in 0*c - 1/2*c**5 + 0 - c**4 - 1/2*c**y + 0*c**2 = 0?
-1, 0
Let c(r) be the second derivative of -5/2*r**3 + 5/6*r**4 + 0 - 5/42*r**7 + r**5 + 6*r - 5*r**2 + 0*r**6. Solve c(z) = 0.
-1, 1, 2
Let s = 35 + -32. Let y = 1721/3852 + -1/428. Suppose 0*v - y*v**2 + 0*v**4 - 2/3*v**s + 2/9*v**5 + 0 = 0. What is v?
-1, 0, 2
Suppose 18 = 7*k - k. Find l, given that 5*l + 4*l**4 + 25*l**2 - 15*l - 20*l**k + l**4 = 0.
0, 1, 2
Suppose 22321*x**2 + 9100 + 680*x + 19800 - 22317*x**2 = 0. Calculate x.
-85
Let r be (-1 - 1)*344/(-344). Factor -4/7*g + 6/7*g**r - 2/7.
2*(g - 1)*(3*g + 1)/7
Let u = -4889/6 + 28429/30. Let w = u + -132. Solve -2*l**4 - 6/5*l**3 + 14/5*l**2 + 6/5*l - w = 0 for l.
-1, 2/5, 1
Let h be (-16)/(-120) - (-292)/60. Let s(t) be the third derivative of 0*t + 1/96*t**4 - 1/12*t**3 - h*t**2 + 0 + 1/240*t**5. Factor s(c).
(c - 1)*(c + 2)/4
Suppose 0*a - 4*a + z = -13, 0 = 4*a + 2*z + 2. Factor 6*k - 5*k**3 + 15*k + 15*k**a - 21*k.
-5*k**2*(k - 3)
Let q be 1 - 2/(2 - 4). Suppose o = q*h, o - 4*h + 0 = -4. Solve 1/2 - 5/4*b + b**3 - b**o + 1/4*b**5 + 1/2*b**2 = 0 for b.
-1, 1, 2
Let d(n) be the first derivative of n**6/18 - 38*n**5/15 + 17*n**4/6 + 116*n**3/9 - 187*n**2/6 + 74*n/3 - 333. Factor d(f).
(f - 37)*(f - 1)**3*(f + 2)/3
Let q(u) = -7*u**2 + 11*u - 42. Let v(m) = -2*m**2 + m - 3. Let c(g) = q(g) - 4*v(g). Let c(l) = 0. What is l?
-10, 3
Let k(f) be the third derivative of 0*f + 0 - 1/210*f**7 - 1/60*f**5 - 1/60*f**6 + 0*f**3 + 0*f**4 + 42*f**2. Factor k(c).
-c**2*(c + 1)**2
Let g = 184/21 + -86/21. Determine p, given that g*p**2 - 8/9 - 16/9*p = 0.
-2/7, 2/3
Let h(x) = -3*x**3 - x. Let q(y) = -y**2 - 7*y - 6. Suppose 5*u + 5 = 4*u. Let s be q(u). Let k(w) = -w**3 - w**2. Let g(j) = s*k(j) - 2*h(j). Factor g(z).
2*z*(z - 1)**2
Let 3/2*o**2 - 102*o + 1734 = 0. Calculate o.
34
Let y(r) be the third derivative of r**8/1344 + r**7/840 - 3*r**6/160 - r**5/48 + r**4/6 + r**3/2 - 40*r**2. Solve y(p) = 0 for p.
-3, -1, 2
Let f = 2077/8 + -6211/24. Factor -2/3*x**3 + 0 - 1/3*x - 1/6*x**4 - f*x**2.
-x*(x + 1)**2*(x + 2)/6
Let s(n) be the second derivative of -1/80*n**5 + 1/24*n**4 - 1/4*n**2 + 1/24*n**3 + 0 + 18*n. Factor s(w).
-(w - 2)*(w - 1)*(w + 1)/4
Let t(w) = -w**2 + 4*w + 5. Let g be t(4). Find u such that -12*u**4 + 6 - 13*u + 6*u**2 + 7*u**3 + 3*u + 5*u**3 - g*u + 3*u**5 = 0.
-1, 1, 2
Let y be ((-38)/(-18) - 1)/(830/996). Suppose 2/3*n**2 + 0 - y*n = 0. What is n?
0, 2
Let x be ((-33)/(-9) - 3) + (-16)/(-24). Solve -o**3 - x*o**2 + 2/3*o**4 + 1/3*o**5 + 4/3*o + 0 = 0.
-2, 0, 1
Let u(g) be the third derivative of -g**6/96 + 27*g**5/40 + 23*g**4/8 - 17*g**3/3 - 150*g**2 + g. Factor u(q).
-(q - 34)*(q + 2)*(5*q - 2)/4
Let w(x) be the first derivative of -13*x**5/20 + 33*x**4/16 - 7*x**3/4 - 5*x**2/8 + 3*x/2 - 48. Factor w(n).
-(n - 1)**3*(13*n + 6)/4
Factor -4000/3*f**3 - 1250/3*f**4 - 2560/3*f - 1600*f**2 - 512/3.
-2*(5*f + 4)**4/3
Factor 16/3 + 26/3*z + 11/3*z**2 + 1/3*z**3.
(z + 1)*(z + 2)*(z + 8)/3
Let b(z) = 3*z**4 + 2*z**3 + 2*z**2 + 6*z - 6. Let f(y) = 3*y**4 + y**3 + y**2 + 5*y - 5. Let s(d) = 5*b(d) - 6*f(d). Factor s(c).
-c**2*(c - 2)*(3*c + 2)
Let v(y) = 10*y**2 + 132*y + 1302. Let f(c) = -29*c**2 - 398*c - 3905. Let i(a) = -6*f(a) - 17*v(a). Factor i(o).
4*(o +