 - 25*z. Let x(l) be the second derivative of h(l). Solve x(q) = 0 for q.
-1, -1/6
Let r = -130 - -67. Let c = -314/5 - r. Factor 0*d**2 - c*d**4 + 2/5*d**3 + 0 + 0*d.
-d**3*(d - 2)/5
Suppose -30/7 - 110/7*k**2 - 148/7*k + 8/7*k**3 = 0. What is k?
-1, -1/4, 15
Let g(t) be the second derivative of t**5/170 - 31*t**4/102 + 10*t**3/17 - 2*t + 262. Factor g(u).
2*u*(u - 30)*(u - 1)/17
Let t be 6 + -8 + (3 - -1). Let y be t/4*-1*0. Factor y - 2*k**2 - k**5 - 2*k**3 + 3*k**4 + 1 + 3*k - 2 + 0.
-(k - 1)**4*(k + 1)
Let u(c) be the second derivative of c**4/4 + 141*c**3 + 59643*c**2/2 - 267*c. Factor u(l).
3*(l + 141)**2
Let i(c) = -4*c**2 - 80*c - 72. Let l(v) = -8*v**2 - 160*v - 145. Let p(b) = -7*i(b) + 4*l(b). Let p(o) = 0. Calculate o.
-19, -1
Suppose -1039*g + 1036*g + 15 = 0. Let d(b) be the second derivative of -11/2*b**3 + 13*b - 7/4*b**4 + 0 - 3/20*b**g - 15/2*b**2. Factor d(a).
-3*(a + 1)**2*(a + 5)
Factor -6*w**3 + 8*w - 34*w - 10*w + 40*w**2 + 2*w**3.
-4*w*(w - 9)*(w - 1)
Let h be (2 - 5)*4 + (-312)/(-20). Determine t so that 2/5*t**4 + 16/5 + 14/5*t - h*t**2 - 14/5*t**3 = 0.
-1, 1, 8
Let j(z) = -2*z**3 - 4*z**2 + 2*z + 4. Let f be j(2). Let b be 1 + 2*4/f. Factor 3*k + 11/3*k**3 + 5*k**2 + b + k**4.
(k + 1)**3*(3*k + 2)/3
Suppose 0 = l - 2*c + 2, -2*l + 3*c = 4*c - 11. Suppose 0*s = -l*s. Determine w so that 0*w - 2/5*w**4 + s*w**3 + 0 + 2/5*w**2 = 0.
-1, 0, 1
Factor 1/2*i**4 + 0 + 1/4*i**5 - 5/4*i**3 - 3/2*i**2 + 0*i.
i**2*(i - 2)*(i + 1)*(i + 3)/4
Factor 990*l**4 + 247*l**3 + 14*l - 72*l**2 - 8*l + 14*l + 605*l**5 - 108*l**2 - 62*l**3.
5*l*(l + 1)**2*(11*l - 2)**2
Let x(p) be the third derivative of p**7/315 + 2*p**6/15 + 83*p**5/45 + 22*p**4/3 + 121*p**3/9 + 2*p**2 + 7. Suppose x(q) = 0. Calculate q.
-11, -1
Let l(x) = 12*x + 183. Let r be l(-15). Let g = 8 + -6. Solve -4/13*i**g + 0*i + 0 + 2/13*i**r + 2/13*i**4 = 0 for i.
-2, 0, 1
Let z(r) be the first derivative of -7/4*r**2 + 4 - 3/4*r + 1/4*r**4 - 7/12*r**3. Factor z(a).
(a - 3)*(a + 1)*(4*a + 1)/4
Let p = 6391/30 + -213. Let h(j) be the second derivative of 0*j**2 + 1/15*j**3 + p*j**4 - 4*j + 0. What is t in h(t) = 0?
-1, 0
Let l be (-4)/26 + 912/520. Let g(x) = 5*x**2 - 2*x + 3. Let v be g(1). Determine d so that -34/5*d**3 + 18/5*d**5 - v*d**4 + 38/5*d**2 - l + 16/5*d = 0.
-1, -2/3, 1/3, 1, 2
Let l(m) be the second derivative of m**5/20 + 5*m**4/2 + 75*m**3/2 - 99*m. Factor l(j).
j*(j + 15)**2
Let x(s) be the third derivative of s**10/50400 - s**9/8400 + s**8/5600 - s**4/24 - 13*s**2. Let t(g) be the second derivative of x(g). Let t(r) = 0. What is r?
0, 1, 2
Let t(o) be the first derivative of -o**6/3 - 26*o**5/5 - 23*o**4 + 20*o**3/3 + 175*o**2 - 250*o + 202. Factor t(q).
-2*(q - 1)**2*(q + 5)**3
Let l(y) be the third derivative of 0 - 1/48*y**6 - 20*y**2 + 0*y**3 - 1/12*y**4 + 1/840*y**7 + 0*y + 17/240*y**5. Suppose l(f) = 0. What is f?
0, 1, 8
Let h(d) be the third derivative of d**6/180 - 7*d**5/30 + 19*d**4/18 - d**2 - 113*d. Solve h(c) = 0.
0, 2, 19
Let c be 2*(-2)/4*0. Let p = -603/40 - -127/8. Factor -2/5*u**4 + 4/5*u + 2/5 - p*u**3 + c*u**2.
-2*(u - 1)*(u + 1)**3/5
Suppose 28*k - 18*k = -50. Let g be 65/(-15) - 1*k. Determine x so that g*x**3 + 0*x - 1/3*x**4 - 1/3*x**2 + 0 = 0.
0, 1
Let a(p) be the second derivative of -p**7/840 + p**6/480 + p**5/240 - p**4/96 + 17*p**2/2 - 8*p. Let i(b) be the first derivative of a(b). Factor i(q).
-q*(q - 1)**2*(q + 1)/4
Let h(o) be the second derivative of -o**7/18 - 11*o**6/90 + 13*o**5/60 + 11*o**4/36 - o**3/3 - 557*o. Suppose h(y) = 0. What is y?
-2, -1, 0, 3/7, 1
Let g(m) = 3*m**4 + 17*m**3 + 18*m**2 + 4*m. Let b(p) = 23*p**4 + 136*p**3 + 145*p**2 + 32*p. Let s(l) = -6*b(l) + 51*g(l). Factor s(h).
3*h*(h + 1)*(h + 2)*(5*h + 2)
Let l = 1/31337 - -31335/62674. Solve 3*o**4 - 5 - o**3 - 10*o**2 + 27/2*o - l*o**5 = 0 for o.
-2, 1, 5
Let b = 6337/15687 + 2/581. Let j = -2/27 + b. Factor -1/3*g - 2/3 + j*g**2.
(g - 2)*(g + 1)/3
Let w be (-89)/90 + (14 - 13). Let q(p) be the third derivative of -1/630*p**7 - 1/36*p**4 - 1/36*p**5 - w*p**6 - 7*p**2 + 0*p**3 + 0 + 0*p. Factor q(l).
-l*(l + 1)**2*(l + 2)/3
Let s be 80/55*(6 - 5). Determine i, given that -2/11*i**4 + 4/11*i**2 + 6/11*i**3 - 24/11*i + s = 0.
-2, 1, 2
Let k be (1926/(-18))/(-1 - 6/(-4)). Let a = k + 1504/7. Find z, given that -4/7*z + 2/7*z**2 - a = 0.
-1, 3
Let a(s) = -3*s**3 + 5*s**2 - 8*s - 8. Let i(c) = c + 1. Suppose -8 = -10*h + 12*h. Let q(j) = h*a(j) - 28*i(j). Factor q(n).
4*(n - 1)**2*(3*n + 1)
Let x = -553 + 555. Let q(g) be the second derivative of -1/3*g**4 - 4*g**2 - 5*g - x*g**3 + 0. Factor q(h).
-4*(h + 1)*(h + 2)
Let b(l) be the second derivative of l**6/120 + l**5/40 - l**4/48 - l**3/12 + 214*l. Factor b(k).
k*(k - 1)*(k + 1)*(k + 2)/4
Let k(h) be the second derivative of -1/42*h**4 + 0 - 7*h + 3/7*h**3 - 8/7*h**2. Factor k(o).
-2*(o - 8)*(o - 1)/7
Let m(z) be the third derivative of z**10/529200 - z**9/105840 + 7*z**5/60 - 12*z**2. Let s(a) be the third derivative of m(a). Solve s(b) = 0 for b.
0, 2
Let q(n) be the first derivative of -n**6/40 + n**5/4 - n**4 + 2*n**3 - 19*n**2/2 - 12. Let i(f) be the second derivative of q(f). Factor i(j).
-3*(j - 2)**2*(j - 1)
Let v(o) be the first derivative of -3/14*o**2 + 16 + 3/7*o + 3/28*o**4 - 1/7*o**3. Factor v(a).
3*(a - 1)**2*(a + 1)/7
Let p(r) be the second derivative of r**6/45 + r**5/3 + 11*r**4/6 + 40*r**3/9 + 16*r**2/3 + 2*r - 2. Determine m so that p(m) = 0.
-4, -1
Factor 65/3*j - 5/6*j**2 - 40.
-5*(j - 24)*(j - 2)/6
Let n(w) = -7*w**3 - 34*w**2 - 237*w. Let k(j) = 3*j**3 + 18*j**2 + 119*j. Let a(h) = -15*k(h) - 6*n(h). Factor a(l).
-3*l*(l + 11)**2
Let j = 281150/7 - 40249. Let x = j - -85. Let 2/7*k - 2/7*k**3 - 2/7 + x*k**2 = 0. Calculate k.
-1, 1
Let w be -11 - -17 - (-21)/245*-10. What is c in -w*c**2 + 3/7*c**4 - 6/7*c**3 - 15/7 - 6*c = 0?
-1, 5
Determine j, given that -23*j - 5*j + 3*j**2 + 37*j - 12 = 0.
-4, 1
Find j, given that -2934*j**3 - 14*j + 5868*j**3 + 392 - 2932*j**3 - 20*j**2 = 0.
-4, 7
Let g(i) = -2*i**2 + 1488*i + 184517. Let a(y) = 3*y**2 - 1488*y - 184518. Let z(w) = -5*a(w) - 6*g(w). Factor z(l).
-3*(l + 248)**2
Let i be 2/42 + (-6)/(-21). Let w be 35/(-30)*(-22)/77. Solve -i*z + w*z**3 - z**2 + 1 = 0.
-1, 1, 3
Let q(a) = a**3 + 3*a**2 + 6. Let b be q(-3). Suppose 8*u**3 - 2*u**5 - 10*u**2 + 4*u - 10*u**3 + 2*u**3 + 2*u**4 + b*u**3 = 0. Calculate u.
-2, 0, 1
Suppose 17*a - 9*a + 736 = 0. Let w = -826/9 - a. Determine c, given that 0*c + 0 + w*c**2 = 0.
0
Suppose -7*h - 123 = -12*h + c, 4*h - 2*c = 102. Let v be ((-9)/h)/((-6)/48*2). Factor v*x - 1 - 1/2*x**2.
-(x - 2)*(x - 1)/2
Let t(o) = o**3 + 79*o**2 - 332*o + 4. Let l be t(4). Solve 12 + 6*a**3 + 99/5*a**2 + 132/5*a + 3/5*a**l = 0.
-5, -2, -1
Let n be (-2)/7 + (485/105 - -1). Let x(d) be the second derivative of 49/20*d**5 - 77/12*d**4 - d + n*d**3 - 2*d**2 + 0. Suppose x(t) = 0. Calculate t.
2/7, 1
Let h(g) be the third derivative of -5*g**8/336 + 7*g**6/24 - g**5/2 - 249*g**2 + g. Determine p, given that h(p) = 0.
-3, 0, 1, 2
Factor 23*x**2 - 105 + 80*x**2 + 3*x**3 + 108*x**2 - 106*x**2 - 3*x.
3*(x - 1)*(x + 1)*(x + 35)
Factor -4/9*u - 1/9*u**2 + 0.
-u*(u + 4)/9
Let w(r) be the second derivative of -5 - 1/240*r**6 - 6*r - 1/48*r**3 + 1/160*r**5 + 0*r**2 + 1/96*r**4. Factor w(u).
-u*(u - 1)**2*(u + 1)/8
Let c(t) be the third derivative of 5*t**8/672 - t**7/3 + 83*t**6/24 + 35*t**5/2 + 375*t**4/16 + 6*t**2 + 81*t. What is u in c(u) = 0?
-1, 0, 15
Let u(l) be the second derivative of l**6/80 - l**5/20 - 5*l**2 - 7*l. Let a(x) be the first derivative of u(x). Factor a(r).
3*r**2*(r - 2)/2
Let r(s) = 2*s**3 - 11*s**2 - 8*s + 8. Let z be r(6). Let p be 60/(-40)*2/z. Let -p*j**2 - 1/4*j**3 + 0 - 1/2*j = 0. Calculate j.
-2, -1, 0
Suppose -u + 10 = 5*t + 4*u, 2*t + 5*u = 19. Let n be ((-8)/(-324)*t)/(4/(-24)). What is l in -26/9*l**3 - n - 8/3*l**4 + 16/9*l**2 + 14/9*l = 0?
-1, 1/4, 2/3
Let u be (-1845108)/1313760 - (-2 - (-64)/34). Let t = -1/920 - u. Factor 3/7*o**4 + 0 - 9/7*o**3 + t*o**2 - 3/7*o.
3*o*(o - 1)**3/7
Let h = 22207/12 - 5551/3. Let 0*k**2 + 0 - h*k**3 + 0*k + 1/4*k**4 = 0. Calculate k.
0, 1
Factor -10/3*l**2 + 1/3*l**3 + 24 + 4*l.
(l - 6)**2*(l + 2)/3
Let h be -4*2 + ((-2376)/15)/(-9). Factor -h - 3/5*o**2 - 24/5*