 be the second derivative of c(w). Factor a(b).
(b - 1)*(b + 1)/7
Let f = 4881/20 - 244. Let u(j) be the second derivative of 0*j**2 + 0 - 1/6*j**4 + 0*j**3 - 6*j + f*j**5. Determine i so that u(i) = 0.
0, 2
Let b = -77 - -57. Let n be 2/b*-12*(-7)/(-14). Factor -18/5*q - n*q**2 - 27/5.
-3*(q + 3)**2/5
Let f(g) be the first derivative of 15*g**4/4 - 140*g**3/3 + 165*g**2/2 - 40*g - 127. Let f(u) = 0. What is u?
1/3, 1, 8
Let b(z) be the first derivative of -z**4/12 - 4*z**3/9 + 5*z**2/6 + 74. Determine x, given that b(x) = 0.
-5, 0, 1
Find l, given that -5/2 - 3/4*l**2 - 17/4*l = 0.
-5, -2/3
Let u(a) = 2*a + 4. Let o be u(1). Determine k, given that o*k**3 - 4*k**3 - 7*k**2 + 11*k**2 - 4*k**3 = 0.
0, 2
Factor -2/9*y**2 - 118/9*y + 0.
-2*y*(y + 59)/9
Let p(k) be the first derivative of -k**3/9 - 5*k**2 - 328. Solve p(d) = 0 for d.
-30, 0
Suppose 18 = 4*z + 2*o, 2*z + o = 2*o + 3. Let p = 1244 - 1242. Let 54/13*m**p + 32/13*m - 8/13 + 210/13*m**5 - 242/13*m**z - 46/13*m**4 = 0. Calculate m.
-1, -2/5, 2/7, 1/3, 1
Solve 3059/2*w**3 - 20 - 22*w + 593*w**2 + 147*w**4 = 0.
-10, -2/7, 1/6
Suppose 5*m + 175 = 1620. Let -6*k**2 - 2*k**4 - 292*k + 3 + m*k + 5*k**4 - 3*k**5 + 6*k**3 = 0. Calculate k.
-1, 1
Let t be 2/(-3)*30/(-4). Let h(a) be the second derivative of 1/6*a**3 + 1/3*a**4 - a**2 - 1/15*a**6 + 1/42*a**7 + 0 - 1/10*a**t - 2*a. Factor h(i).
(i - 2)*(i - 1)**2*(i + 1)**2
Let w(d) = -15*d - 6. Suppose -3 = j - 0. Let o be w(j). Factor -o*k**2 - 3 + 3 + 35*k**2 + 4*k**3 - 4*k + 4*k**4.
4*k*(k - 1)*(k + 1)**2
Suppose 12*p - 35 + 23 = 0. Suppose 5*d + 3 = 4*i + p, 15 = 5*i. Suppose -1/7*a**3 + 0 - 3/7*a - 4/7*a**d = 0. What is a?
-3, -1, 0
Let t(l) = 5*l - 8. Let h(v) = -4*v + 7. Let q(c) = -6*h(c) - 5*t(c). Let b be q(-7). Solve 6*o**4 - 4*o**2 - 3*o**3 + 7*o - 2 + o - b*o**3 = 0.
-1, 1/3, 1
Let q(u) = -34*u - 64. Let c be q(-2). Let y(x) be the second derivative of -10*x**5 - 2/3*x**7 - 10*x**3 + 4*x**2 - 2*x + c*x**6 + 0 + 40/3*x**4. Factor y(i).
-4*(i - 1)**4*(7*i - 2)
Let r(y) be the third derivative of y**5/240 + 29*y**4/48 + 841*y**3/24 - 54*y**2. Factor r(p).
(p + 29)**2/4
Let y(q) be the first derivative of 4 + 0*q + 3/2*q**2 - 4*q**3 - 12/5*q**5 + 9/2*q**4 + 1/2*q**6. What is l in y(l) = 0?
0, 1
Let a = 97 + -95. Find z such that z - 115*z**2 - z**3 + 58*z**a + 56*z**2 + 1 = 0.
-1, 1
Let f = 1823/1216 - -1/1216. Factor -6*u**2 - 9/2*u + f.
-3*(u + 1)*(4*u - 1)/2
Suppose 2*i - 22 = 62. Factor 5*d**2 + 12 + 3 + 3 + i - 35*d.
5*(d - 4)*(d - 3)
Suppose f = -4*f + 5. Let d be (f/9)/((-13)/2 - -7). Suppose 2/9*h**3 - 2/9*h - d + 2/9*h**2 = 0. What is h?
-1, 1
Determine r so that 23*r**3 + 260*r - 120 + 17*r**3 - 190*r**2 - 5*r**4 - 4*r**3 + 19*r**3 = 0.
1, 2, 6
Let j(d) be the first derivative of -3*d**7/70 + 2*d**6/15 - 2*d**5/15 - 13*d**3/3 + 7. Let t(y) be the third derivative of j(y). Suppose t(w) = 0. What is w?
0, 2/3
Suppose 2*g - 17 = -3*u, g = 5*u - 4 - 7. Let y(o) be the first derivative of 1 + 0*o**2 + 0*o + 2*o**3 - 15/4*o**g. Suppose y(n) = 0. Calculate n.
0, 2/5
Let u(c) be the second derivative of -c**7/280 + c**5/40 + 3*c**3/2 + 29*c. Let b(a) be the second derivative of u(a). Factor b(v).
-3*v*(v - 1)*(v + 1)
Let q(t) be the first derivative of -4*t**2 - 14 + 1/2*t**4 - 4/3*t**3 + 16*t. Factor q(j).
2*(j - 2)**2*(j + 2)
Let s(i) = 23*i**2 + 85*i - 791. Let u(q) = 8*q**2 + 28*q - 264. Let c(m) = 4*s(m) - 11*u(m). Factor c(f).
4*(f - 5)*(f + 13)
Let n(d) = 5*d**3 - 2*d**2 - 2*d - 1. Let k(v) = 2*v**3 - v**2 - v. Let q(u) = -3*k(u) + n(u). Factor q(h).
-(h - 1)**2*(h + 1)
Let n be (46/(-20))/((-352)/5632). Let 4 - n*h + 441/5*h**2 - 81/5*h**3 = 0. Calculate h.
2/9, 5
Let a be 8/(-10)*40/(-4). Suppose 5*l = 3*l + a. Let -l*m**4 - 5 + 11*m**3 - 31 - 14*m**3 - 96*m - 29*m**3 - 88*m**2 = 0. What is m?
-3, -1
Let v(x) be the third derivative of -x**6/540 + x**5/135 + x**4/108 - 2*x**3/27 + 3*x**2. Determine l so that v(l) = 0.
-1, 1, 2
Suppose -14 = 2*q - 4*q - 4*p, -2*q - p + 11 = 0. Suppose 4*l = -5*z + 69, l - 3*z + q - 1 = 0. Solve -2*g + 9*g + 0*g**3 + 12*g**2 + 2*g**3 + l*g = 0 for g.
-3, 0
Let v(g) = g**2 + 5*g - 2. Let y be v(-6). Let k be 6*((-6)/9 - (-1)/1). Suppose n - y*n**2 + k*n**2 - 4 + 4*n + n = 0. What is n?
1, 2
Factor 10*t**2 - 2 - 26 + 2*t**2 - 18 + 24*t + 14 - 4*t**3.
-4*(t - 4)*(t - 1)*(t + 2)
Let v(j) be the third derivative of 0 + 1/75*j**6 + 2/75*j**5 + 0*j**3 + 1/525*j**7 + 7*j**2 + 0*j + 0*j**4. Factor v(k).
2*k**2*(k + 2)**2/5
Let f(q) = q**3 - 2*q**2 + 3*q - 3. Let y be f(2). Let s be 15/6 - y*8/12. Factor 0 + 0*g + 0*g**3 - s*g**2 + 1/2*g**4.
g**2*(g - 1)*(g + 1)/2
Suppose 3*z = -106 + 331. Find o, given that 43*o**2 - 3*o**4 - 6*o - z*o**2 + 41*o**2 = 0.
-2, 0, 1
Let p(q) be the second derivative of -1/13*q**2 + 0*q**4 + 2/39*q**3 - 41*q + 1/195*q**6 + 0 - 1/65*q**5. Factor p(w).
2*(w - 1)**3*(w + 1)/13
Let t(g) = g**2 - g - 1. Let l(h) = -44. Let x(c) = -l(c) - 4*t(c). Factor x(q).
-4*(q - 4)*(q + 3)
Let a(d) be the second derivative of -d**7/336 - 7*d**6/240 - 3*d**5/160 + 19*d**4/96 + d**3/12 - 3*d**2/4 + 2*d + 5. Suppose a(l) = 0. What is l?
-6, -2, -1, 1
Let y = 612 - 610. What is u in -4/3*u**y - 16/3 + 16/3*u = 0?
2
Let k = 387/70 + -38/7. Let p(h) be the first derivative of -1/20*h**4 + 6 + k*h**2 + 0*h + 1/15*h**3 - 1/25*h**5. Find x such that p(x) = 0.
-1, 0, 1
Let f(d) = 5*d**3 + 9*d**2 + 54*d + 58. Let v(k) = 4*k**3 + 9*k**2 + 53*k + 57. Let n(o) = 5*f(o) - 6*v(o). Determine q so that n(q) = 0.
-2, 13
Let h(v) be the third derivative of -1/1176*v**8 + 0*v**4 + 2/735*v**7 + 0 + 0*v**5 - 18*v**2 + 0*v + 0*v**3 - 1/420*v**6. Determine x so that h(x) = 0.
0, 1
Let p(j) = -j**4 + j**3 + j**2 - j - 1. Let b(s) = -s**4 - s**3 + 4*s**2 - 2*s - 2. Let k(a) = -2*b(a) + 4*p(a). Factor k(y).
-2*y**2*(y - 2)*(y - 1)
Let p(b) be the first derivative of b**5/225 + b**4/36 - b**3/15 - 9*b**2 - 19. Let q(c) be the second derivative of p(c). Factor q(y).
2*(y + 3)*(2*y - 1)/15
Determine j so that -16*j**5 + 12*j**4 - 3*j**3 + j**3 + 10*j**3 - 4*j**3 = 0.
-1/4, 0, 1
Let m = -7132/3 - -2402. Let x = m + -220/9. Factor 0*v**2 + 0*v**3 + 0 - x*v**4 + 0*v + 2/9*v**5.
2*v**4*(v - 1)/9
Let m(r) be the third derivative of 45*r**6/8 - 123*r**5/4 - 22*r**4 - 6*r**3 + 89*r**2. Factor m(n).
3*(n - 3)*(15*n + 2)**2
Let s be 147/14*(180/(-56))/(-5). Let y = s - 11/2. Suppose -9*b + 3*b**4 - 23/2*b**2 - 11/4*b**3 + y*b**5 - 2 = 0. What is b?
-2, -1, -2/5, 2
Let n = -29 + 17. Let m be 0 + (9/n - (1 - 2)). Let 1/2*d**4 - 1/2*d**2 + 0*d**3 - m*d + 0 + 1/4*d**5 = 0. Calculate d.
-1, 0, 1
Let v be (-1)/(1*5/(-45)). Let 8*l**4 - 14*l**3 + 8*l**5 + v*l**4 - 2*l**2 - 7*l**4 - 2*l**2 = 0. What is l?
-2, -1/4, 0, 1
Let h be 46/(-192) + 75/(-20) + 4. Let u(j) be the third derivative of 0*j - 2*j**2 + 0 + 1/80*j**5 + 0*j**3 + 1/160*j**6 + h*j**4 + 1/840*j**7. Factor u(x).
x*(x + 1)**3/4
Let 12/13*r**2 - 12/13*r**4 + 0 - 10/13*r + 2/13*r**5 + 8/13*r**3 = 0. What is r?
-1, 0, 1, 5
Let n = 84 + -73. Determine k, given that -n*k + 2*k**2 + 0*k**2 + 0*k**2 - 3*k = 0.
0, 7
Suppose 6 + 9/2*u**4 + 0*u + 3/2*u**5 - 21/2*u**2 - 3/2*u**3 = 0. What is u?
-2, -1, 1
Let m(v) be the first derivative of -v**4/30 + 16*v**3/15 - 64*v**2/5 - 26*v + 21. Let h(o) be the first derivative of m(o). Factor h(x).
-2*(x - 8)**2/5
Let 5 + 9*l + 5*l - 1 - 4*l**4 - l**5 + 3*l + 2 + 14*l**2 = 0. Calculate l.
-3, -1, 2
Let t(i) be the third derivative of 0*i + 11/4*i**4 + 197/60*i**5 + 0 + 1/96*i**8 - 6*i**3 + 15*i**2 - 6/35*i**7 + 37/80*i**6. Solve t(q) = 0 for q.
-1, 2/7, 6
Let f = -10776/13 + 829. Let v(n) be the second derivative of 3*n - f*n**2 + 0 - 1/130*n**5 - 1/26*n**4 - 1/13*n**3. Find y such that v(y) = 0.
-1
Let y(a) be the first derivative of 6*a**5/35 + a**4/14 - 52*a**3/21 - 20*a**2/7 + 48*a/7 - 666. Determine w, given that y(w) = 0.
-2, 2/3, 3
Factor -5*r - 6*r**3 + 23 + 2 - 25*r**2 + 11*r**3.
5*(r - 5)*(r - 1)*(r + 1)
Let u(y) be the second derivative of -2*y**6/15 + 19*y**5/5 - 50*y**4/3 + 64*y**3/3 - 66*y. Factor u(s).
-4*s*(s - 16)*(s - 2)*(s - 1)
Suppose 166 = -6*t + 460. Determine l so that t*l**3 - 4*l - 51*l**3 + 6*l = 0.
-1, 0, 1
Let r(f) = -4*f - 19. Let o be r(-6). Suppose 66 = o*c + 3*m, 0*m - 6 = -3*m. Solve -5*g**3 + 11*g**3 - 8 + c*g