 derivative of -9*h**4/8 + 14*h**3 - 153*h**2/4 + 21*h - 700. Factor l(x).
-3*(x - 7)*(x - 2)*(3*x - 1)/2
Suppose 4*r = -r + 5. Let i(v) = 4*v**2 - 1. Let y be i(r). Suppose c**y - 2*c**4 + 3*c**4 + 3*c**2 - c + 3*c**2 - 7*c**2 = 0. What is c?
-1, 0, 1
Let n(p) be the second derivative of p**4/60 + 29*p**3/30 - 3*p**2 - 95*p. Factor n(j).
(j - 1)*(j + 30)/5
Let t be 0/(6*2/(-6)). Let p(v) be the third derivative of 0*v - 1/4*v**4 + 1/20*v**5 - 12*v**2 + t + 1/2*v**3. Factor p(a).
3*(a - 1)**2
Let b(n) = -47*n - 136. Let v be b(-3). Let j(p) be the second derivative of -10*p + 1/30*p**6 - 1/12*p**3 - 1/8*p**4 + 1/40*p**v + 0 + 1/4*p**2. Factor j(w).
(w - 1)*(w + 1)**2*(2*w - 1)/2
Let u(h) be the first derivative of -6 + 1/210*h**5 + 0*h**4 - 1/21*h**3 - h**2 + 0*h. Let x(d) be the second derivative of u(d). Find g such that x(g) = 0.
-1, 1
Let q(d) be the third derivative of 0*d + 17*d**2 - 1/36*d**4 + 0 + 1/360*d**5 + 1/12*d**3. Factor q(o).
(o - 3)*(o - 1)/6
Let g = 10573 - 10570. Find z, given that -1/5*z**g + 0*z - 2/5*z**2 + 1/5*z**4 + 0 = 0.
-1, 0, 2
Let n(q) be the first derivative of -q**6/2 - 27*q**5/5 - 75*q**4/4 - 27*q**3 - 15*q**2 - 39. Determine h, given that n(h) = 0.
-5, -2, -1, 0
Suppose 0*z + z + 5 = 0, 65 = -5*g - z. Let r be (-8)/(-6) + (-8)/g. Determine i, given that -3*i**2 + 6*i**5 - 14*i**4 + 8*i**2 + 3*i**r = 0.
-2/3, 0, 1, 2
Suppose -l - q - 724 = -732, -3*l - 4*q = -30. Factor -1 - 1/5*c**l - 6/5*c.
-(c + 1)*(c + 5)/5
Suppose -3*g = -3*o + 57, -3*o = -4*g - 43 - 18. Let l be 3/(o/20) - 2. Factor 16*t**3 + t**2 + 3*t**2 - t**2 + t**l.
4*t**2*(4*t + 1)
Solve -9/4*a**4 - 24*a**3 + 0 + 33/4*a**2 + 0*a = 0 for a.
-11, 0, 1/3
Determine l so that -18/5*l**4 + 8*l**3 - 24/5*l**2 + 0 + 2/5*l**5 + 0*l = 0.
0, 1, 2, 6
Find i such that 2/5*i**3 + 0 - 2/5*i + 2/5*i**4 - 2/5*i**2 = 0.
-1, 0, 1
Let r(i) be the second derivative of 2/3*i**3 + 10*i - 1/5*i**5 - 2*i**2 + 1/3*i**4 + 0. Determine q so that r(q) = 0.
-1, 1
Let -696/7*a - 2193/7*a**2 + 27/7*a**4 - 1194/7*a**3 + 276/7 = 0. What is a?
-1, 2/9, 46
Let 12*k + 56 - 1/2*k**2 = 0. What is k?
-4, 28
Suppose 0 = 2*o + 5*o - 35. Let r(x) be the third derivative of 0 - 1/240*x**o - x**2 + 0*x - 1/24*x**3 + 1/48*x**4. Factor r(w).
-(w - 1)**2/4
Let m(v) be the second derivative of v**6/165 + 2*v**5/55 - v**4/6 + 2*v**3/11 - v + 7. Factor m(k).
2*k*(k - 1)**2*(k + 6)/11
Let z(t) be the first derivative of -2*t**6/15 - t**5/5 + 7*t**4/3 + 26*t**3/3 + 12*t**2 + 13*t + 17. Let k(x) be the first derivative of z(x). Factor k(b).
-4*(b - 3)*(b + 1)**2*(b + 2)
Let t(m) be the first derivative of m**5/80 + 5*m**4/48 + m**3/3 + m**2/2 + 2*m + 4. Let p(o) be the first derivative of t(o). Determine h, given that p(h) = 0.
-2, -1
Let n(p) = p**2 + 9*p - 19. Suppose 50 + 27 = -7*b. Let w be n(b). Factor 1/2*o**2 - 1/2*o + 1/2*o**w - 1/2.
(o - 1)*(o + 1)**2/2
Let p(c) be the first derivative of -c**3/12 - 11*c**2/8 - 5. Let p(j) = 0. Calculate j.
-11, 0
Let h(z) = -105*z**2 - 2635*z - 5410. Let o(i) = -8*i**2 - 203*i - 416. Let g(m) = -3*h(m) + 40*o(m). Let g(v) = 0. Calculate v.
-41, -2
Factor -27*k**2 + 243 - 243/2*k - 1/2*k**5 + 18*k**3 + 0*k**4.
-(k - 3)**3*(k + 3)*(k + 6)/2
Let a = -6 - -16. Let z(k) be the first derivative of 3*k + a - k**3 + 0*k - 6. Factor z(p).
-3*(p - 1)*(p + 1)
Let k be -6 - 4/((56/(-8))/14). Determine i so that 49/4*i**3 + 2 + 15*i + 63/2*i**k = 0.
-2, -2/7
Let d(n) be the third derivative of n**5/30 + 5*n**4/6 + 3*n**3 + 5*n**2 + 3. Factor d(i).
2*(i + 1)*(i + 9)
Let h = 101 - 97. Suppose 0 = -3*b + h*b - 5. Suppose 6/5*t**4 + 4/5*t - 6/5*t**2 - 14/5*t**3 + 0 + 2*t**b = 0. What is t?
-1, 0, 2/5, 1
Suppose 32/7 + 312/7*g - 162/7*g**4 + 856/7*g**2 + 414/7*g**3 = 0. Calculate g.
-1, -2/9, 4
Let u(p) be the second derivative of 16/9*p**3 + 14/45*p**6 + 2*p**5 + 4*p**4 + 18*p + 0*p**2 + 0. Factor u(d).
4*d*(d + 2)**2*(7*d + 2)/3
Let b be ((-3 - -3) + 1)*2. Suppose 0 = -2*s + 5*r + 7, b*s - 28 + 0 = -2*r. Factor s*c**2 + 4*c + 9*c**2 - 24*c**2.
-4*c*(c - 1)
Let v(y) be the third derivative of y**7/63 + 67*y**6/180 + 47*y**5/30 + 101*y**4/36 + 22*y**3/9 - 74*y**2. Determine x, given that v(x) = 0.
-11, -1, -2/5
Let i = 1 - -2. Suppose 7*u - 12 = i*u. Find l such that -4*l**2 + 2*l**2 + l**2 - 2*l**2 - u*l = 0.
-1, 0
Let f = -159 - -165. Let o be 2/(12/f) + 3. Factor -15/7*y**3 + 0 + 27/7*y**5 + 3/7*y**2 + 9/7*y**o + 0*y.
3*y**2*(y + 1)*(3*y - 1)**2/7
Let n(d) = -d**3 + 1. Let l(t) = 4*t**2 + 5*t**3 - 7*t**2 - 2 + 0*t**3. Let k = -1 + 2. Let m(v) = k*l(v) + 2*n(v). Factor m(o).
3*o**2*(o - 1)
Let u(m) be the third derivative of m**8/336 + 2*m**7/7 + 32*m**6/3 + 512*m**5/3 - 131072*m**3/3 + 118*m**2. Factor u(t).
(t - 4)*(t + 16)**4
Let v(n) be the second derivative of -n**4/21 + 368*n**3/21 - 16928*n**2/7 - 88*n. Factor v(f).
-4*(f - 92)**2/7
Let k(h) = h**2 + 2*h - 4. Let j(i) = -1. Let w(s) = 12*j(s) + 3*k(s). What is b in w(b) = 0?
-4, 2
Let p(j) be the third derivative of 0 + 1/108*j**6 + 0*j**4 - 2/135*j**5 - 5*j**2 + 0*j**3 + 0*j - 1/945*j**7. Find a, given that p(a) = 0.
0, 1, 4
Let r(o) = -o**2 + 15*o + 3. Let w be r(15). Let v be (-10)/(-5) + 1 - w. Solve 0 - 2/3*u**3 + v*u + 1/6*u**2 = 0.
0, 1/4
Determine l so that 15/4*l**2 + 1/4*l + 7/4*l**3 - 5/4 - 1/2*l**4 = 0.
-1, 1/2, 5
Suppose -2*v + 5*c = -24, 8 = 130*v - 134*v - 4*c. Let 16/7*y + 4*y**5 + 232/7*y**v - 32/7 + 316/7*y**3 + 160/7*y**4 = 0. What is y?
-2, -1, 2/7
Solve 288*x**5 + 14692/3*x**2 + 848*x + 48 + 8664*x**3 - 3312*x**4 = 0.
-1/6, 6
Let j = -653/868 - -20/31. Let z = j + 1/4. Suppose -1/7*d + z*d**2 - 2/7 = 0. What is d?
-1, 2
Let w(v) be the third derivative of v**5/15 - 4*v**4/3 + 8*v**3 + 131*v**2. Determine s, given that w(s) = 0.
2, 6
Let n be 95/72 - 1 - 18/(-144). Solve n*a**2 + 0*a**3 + 0*a - 2/9*a**4 - 2/9 = 0 for a.
-1, 1
Let m(d) = 210*d**3 - 9575*d**2 + 104650*d + 74115. Let q(k) = 15*k**3 - 684*k**2 + 7475*k + 5294. Let s(r) = 4*m(r) - 55*q(r). Find o, given that s(o) = 0.
-2/3, 23
Suppose 3*c = 2*c + 173. Let q = c - 170. Factor 0*y + 2/17*y**q - 2/17*y**4 + 0 + 2/17*y**2 - 2/17*y**5.
-2*y**2*(y - 1)*(y + 1)**2/17
Let w(b) = -b**2 + 11*b - 15. Let d be w(9). Find s, given that 0 - 1/4*s**d + 0*s**2 + 0*s = 0.
0
Let p(q) = -q**3 + 2*q**2 - 6*q. Let r(h) = -h**3 + h**2 - 7*h. Suppose -18 = 11*x - 40. Let m(j) = x*r(j) - 3*p(j). Suppose m(z) = 0. Calculate z.
0, 2
Let l(j) be the third derivative of 0 + 1/10*j**5 - 1/105*j**7 + 1/30*j**6 + 0*j + 2*j**2 - 4/3*j**3 - 1/3*j**4. Factor l(t).
-2*(t - 2)**2*(t + 1)**2
Suppose 5*b - 4*b - 4 = 0. Solve -2*m**3 - 4*m**3 - 2*m + 5*m**3 + 5*m**3 - 3*m**b + m**2 = 0 for m.
-2/3, 0, 1
Let h(y) be the second derivative of y**7/231 + 4*y**6/165 - 3*y**5/110 - 3*y**4/11 + 141*y. Let h(f) = 0. What is f?
-3, 0, 2
Let g(o) be the first derivative of -75*o**4/4 + 70*o**3/3 + 7*o**2/2 - 2*o - 23. Factor g(v).
-(v - 1)*(5*v + 1)*(15*v - 2)
Determine t, given that 215/3*t**3 - 20/3*t**5 - 90*t**2 + 20*t**4 - 180 - 315*t = 0.
-3/2, -1, 3, 4
Let v(n) be the third derivative of n**5/15 + 5*n**4/6 - 4*n**3 - 102*n**2. Factor v(q).
4*(q - 1)*(q + 6)
Let i be ((-9)/(-3))/(7/42). Let p be (-8)/16*0 + 8/i. Determine o so that 2/9 - p*o**2 + 0*o**3 + 2/9*o**4 + 0*o = 0.
-1, 1
Let h(c) be the second derivative of 19*c**6/135 + 4*c**5/9 + 23*c**4/54 + 2*c**3/27 - 14*c + 2. Factor h(x).
2*x*(x + 1)**2*(19*x + 2)/9
Suppose 5*g = l - 2*l - 5, -3*l + 4*g + 23 = 0. Suppose -2*v = 3*v + l*c - 25, 3*v = -c + 9. Solve 1 + 1/4*k**3 + v*k + 5/4*k**2 = 0 for k.
-2, -1
Factor 130*l - 166*l**2 + 77*l**2 + 84*l**2 + 135.
-5*(l - 27)*(l + 1)
Let i(q) be the first derivative of 0*q + 9/16*q**2 - 1/8*q**3 + 2. Factor i(h).
-3*h*(h - 3)/8
Let h(p) be the third derivative of p**8/84 + 16*p**7/105 + 2*p**6/3 + 2*p**5/3 - 7*p**4/2 - 12*p**3 + p**2. What is w in h(w) = 0?
-3, -2, -1, 1
Let s(b) be the first derivative of -b**3/33 + 6*b**2/11 + 64. Factor s(z).
-z*(z - 12)/11
Suppose -4*u = u - 5. Let y be u/(-5)*(-11 - 1). Determine h so that 9/5*h**2 - y*h + 4/5 = 0.
2/3
Let y be (2/2 + (-5)/10)*4. Let t(g) = g**3 - g**2 + 2. Let s be t(0). Determine q, given that q**2 + y*q**2 - q**4 + 0*q**3 + q - 2*q**s - q**3 = 0.
-1, 0, 1
Let t(x) = -7*x + 2*x**3 + 4*x**3 - x**2 - 48 - x - 3*x. Let q(y) 