3)*(r + 1)**2/6
Let d(q) be the first derivative of -8/3*q**3 + 0*q**2 + 2/5*q**5 + 0*q + 0*q**4 - 105. Solve d(y) = 0 for y.
-2, 0, 2
Let j(t) = -t**3 - t**2 - t - 2. Let k(w) = -12 - w**2 + 5*w**2 - 3*w**3 + 6*w - 3*w**3 - w**2. Let r(s) = -9*j(s) + k(s). Factor r(d).
3*(d + 1)**2*(d + 2)
Let 4/9*z**2 - 976/9 + 160/3*z = 0. Calculate z.
-122, 2
Let t be (5 - 3)/(-6 + 7). Determine l, given that 27*l - t*l**2 - 12 - l - 16*l = 0.
2, 3
Let b(f) be the second derivative of 0 + 0*f**3 + 8*f**2 + 1/12*f**4 - 8*f + 1/60*f**5. Let a(l) be the first derivative of b(l). Factor a(g).
g*(g + 2)
Let h = 111 + -66. Suppose h*q**2 + 4*q**3 + 39*q**2 - 553*q + 709*q + 76 = 0. What is q?
-19, -1
Let b(l) be the third derivative of -l**5/255 + 5*l**4/68 - 13*l**3/51 + 43*l**2 + 7. Factor b(y).
-2*(y - 1)*(2*y - 13)/17
Suppose 45*r**4 + 1/6*r**5 - 90*r**2 - 1/3*r**3 + 1/6*r + 45 = 0. Calculate r.
-270, -1, 1
Let k(r) be the second derivative of r**4/12 - 706*r**3/3 + 249218*r**2 - 981*r. Factor k(f).
(f - 706)**2
Determine r so that -1907/6*r**2 + 658/3*r + 4/3*r**5 + 427/3*r**3 + 98/3 - 143/6*r**4 = 0.
-1/8, 2, 7
Find c such that 0 - 124/5*c - 2/15*c**2 = 0.
-186, 0
Let q(p) be the third derivative of 1/20*p**6 + 0*p**3 - 11/60*p**5 + 0*p + 1/4*p**4 + 0 - 63*p**2 - 1/210*p**7. Factor q(g).
-g*(g - 3)*(g - 2)*(g - 1)
Factor 56/3*s**2 + 2/3*s**4 + 26/3*s**3 - 1/3*s**5 + 47/3*s + 14/3.
-(s - 7)*(s + 1)**3*(s + 2)/3
Let z(a) be the third derivative of -1/150*a**7 + 0*a**3 - 7/120*a**8 + 0 + 1/30*a**6 + 0*a + 0*a**4 - 5*a**2 + 1/75*a**5. Factor z(o).
-o**2*(2*o - 1)*(7*o + 2)**2/5
Let w be (11/(132/520))/(6/333). Solve -18*q - 2407*q**2 + 52*q + 36 + w*q**2 = 0 for q.
-1, 18
Factor 81/2*a**3 - 39*a + 2187/4*a**4 + 507 - 4209/4*a**2.
3*(a + 1)**2*(27*a - 26)**2/4
Let j be ((-183)/24 + 8)/(3/(-2930)). Let c = -366 - j. Factor 1/4*u**3 - c*u + 1/4*u**2 - 1/4.
(u - 1)*(u + 1)**2/4
Suppose 39264 = -472*u + 2926*u. Determine c so that 72/7*c + u - 2/7*c**4 - 20/7*c**2 - 18/7*c**3 = 0.
-7, -2, 2
Let q(c) be the first derivative of 4*c**5/5 + 11*c**4 - 16*c**3/3 - 448*c**2 + 4620. Factor q(w).
4*w*(w - 4)*(w + 7)*(w + 8)
Let j(v) = -2*v**3 - 53*v**2 - 117*v - 36. Let a be j(-2). Factor 4*i**a - 28/5*i**3 + 0 + 8/5*i.
-4*i*(i - 1)*(7*i + 2)/5
Let f(g) = -g**3 - 5*g**2 + g + 9. Let a be f(-5). Suppose -2*h = -h - a. Determine x so that -x - 188 + h*x**2 + 188 = 0.
0, 1/4
Let m(q) = q**3 + 6*q**2 + 13*q - 2. Let j be m(10). Let l be (j/(-156) - -11)*4/(-2). Determine x, given that l*x**3 + 4/13*x**2 - 4/13 - 2/13*x = 0.
-2, -1, 1
Let z(o) be the first derivative of -110 + 0*o - 1/3*o**3 - 1/12*o**4 + 2/3*o**2. Factor z(b).
-b*(b - 1)*(b + 4)/3
Let d(r) = 6*r**2 - 1372*r - 1444. Let x(p) = p**2 - 276*p - 289. Let b(o) = -2*d(o) + 11*x(o). Factor b(k).
-(k + 1)*(k + 291)
Let g be (-2845)/(-4552)*(0 + (-4)/(-5)). Factor -1/2*w**2 - g*w**3 + 1/6*w**4 + 1 + 7/6*w.
(w - 3)*(w - 2)*(w + 1)**2/6
Let h be 1/4 - (-108)/16. Let g be (0 - -1) + 16/(-3 + h). Determine z so that -z**2 - z**g + 199 + z**4 + z**3 - 199 = 0.
-1, 0, 1
Factor 11872*h - 2099*h + 4095*h + 2*h**2 + 564*h - 1604 + 34*h**2.
4*(h + 401)*(9*h - 1)
Let f(r) = r**3 + 19*r**2 + r + 19. Let o be f(-19). Let w(z) be the third derivative of 1/255*z**5 + 0 + o*z - 2/51*z**3 + 17*z**2 + 1/68*z**4. Factor w(n).
2*(n + 2)*(2*n - 1)/17
Factor 42/11*k - 135/11 + 1/11*k**2.
(k - 3)*(k + 45)/11
Let k = 6506 - 6506. Let g(m) be the second derivative of 0*m**2 + 1/36*m**4 - 13*m + k - 1/9*m**3. Factor g(t).
t*(t - 2)/3
Let h(u) be the third derivative of -4 + 0*u - 41/6*u**4 - 1/60*u**5 - 2*u**2 - 3362/3*u**3. Factor h(j).
-(j + 82)**2
Suppose 82*o = 110*o - 339*o. Let c(z) be the third derivative of 1/180*z**5 + 2/9*z**3 - 21*z**2 + 0*z - 5/72*z**4 + o. Find g such that c(g) = 0.
1, 4
Find w such that -81 - w**5 + 46*w**3 - 3*w - 42*w + 383*w**4 + 78*w**2 - 380*w**4 = 0.
-3, -1, 1, 9
Let z(v) be the third derivative of v**7/8820 - v**6/504 + v**5/105 - 77*v**4/24 + 7*v**2 - 2. Let o(j) be the second derivative of z(j). What is d in o(d) = 0?
1, 4
Let g(w) be the third derivative of w**5/150 - 584*w**4/15 + 1364224*w**3/15 + 5*w**2 + 14*w - 5. Factor g(x).
2*(x - 1168)**2/5
Let r(i) = 9*i**3 + 5*i**2 + i + 5. Let t = 83 - 88. Let h(l) = -4*l**3 - 2*l**2 - 2. Suppose -4 = p - 2. Let b(o) = p*r(o) + t*h(o). Factor b(n).
2*n*(n - 1)*(n + 1)
Let g(c) be the third derivative of 0 - 9*c**2 + 2*c - 2/45*c**5 + 1/180*c**6 - 19/36*c**4 - 14/9*c**3. Suppose g(o) = 0. What is o?
-2, -1, 7
Solve -21*r**3 + 3*r**3 - 46*r**2 + 20637*r - 20657*r = 0.
-2, -5/9, 0
What is o in -9 + 177*o**2 - 24239*o + 126*o**3 + 24200*o - 63*o**3 = 0?
-3, -1/7, 1/3
Let o(i) = 2. Let u(t) be the second derivative of -t**4/12 - 10*t**3/3 + 5*t**2 + t - 7. Let c(h) = 15*o(h) - 3*u(h). Find w such that c(w) = 0.
-20, 0
Let k(m) = -m**3 - 35*m**2 + 3*m + 107. Let f be k(-35). Factor -1023 + 17*h**2 - 14*h**f + 933 - 21*h.
3*(h - 10)*(h + 3)
Factor 2447/3*h**2 + h**3 + 166192*h - 55488.
(h + 408)**2*(3*h - 1)/3
Factor 3*z**2 - 90 + 476*z + 715 + 9*z + 505*z + 362.
3*(z + 1)*(z + 329)
Let z(l) = 2*l**2 - 4*l + 5. Let m be z(4). What is q in 2*q + 2*q**2 + 25*q - m*q = 0?
-3, 0
Let u be (3 + -3 + 7)*-1. Let o = -5 - u. Find b, given that -2*b**3 + o*b**2 + 23*b - 23*b = 0.
0, 1
Let h(g) be the third derivative of g**5/210 + 5*g**4/21 + 13*g**3/3 - 49*g**2 - 2*g + 6. Factor h(d).
2*(d + 7)*(d + 13)/7
Let y(j) = 2*j + 13. Let v be y(-6). Let p be 27/12 + 1 - v/4. Determine w so that -w**4 + 2*w**5 - 20*w**3 + 7*w**5 - 5*w**4 + 6*w**2 + 11*w**p = 0.
-1, 0, 2/3, 1
Let w(f) be the second derivative of 3/2*f**5 - 6*f**4 - 21/2*f**2 - 4*f + 10 + 11*f**3 - 1/10*f**6. Solve w(k) = 0 for k.
1, 7
Let x(q) = -2*q**3 - 11*q**2 + 4*q + 24. Let i be x(-5). Let k be (-48)/(-20) + i/(-35). What is g in -2/5*g - 1/5*g**2 + 1/5*g**k + 0 = 0?
-1, 0, 2
Let b = -112177 - -112177. What is d in 0*d + 0*d**3 + 5/3*d**5 - 5/3*d**4 + 0*d**2 + b = 0?
0, 1
Solve -82/13 - 2/13*z**2 + 84/13*z = 0.
1, 41
Let r be 1 + -4 - 2*-3. Suppose 0*y = r*y - 12. Factor x**5 - 8*x**2 + y*x + 8*x**4 - 13*x**5 + 8*x**5.
-4*x*(x - 1)**3*(x + 1)
Suppose -2*h + f = -5, 0 = -4*h + 2*f + 2*f + 8. Let b(m) be the first derivative of 5 - 3/4*m**4 + 0*m**2 + 1/2*m**6 + 0*m - 2*m**h + 6/5*m**5. Factor b(l).
3*l**2*(l - 1)*(l + 1)*(l + 2)
Let y = -2378 - -2350. Let x be (-16)/(-2) + y*15/120. Factor x - 3/4*s**2 + 3/4*s.
-3*(s - 3)*(s + 2)/4
Let s(t) be the first derivative of -t**4/30 + 3*t**3/5 + 2*t**2 - 92*t - 56. Let n(r) be the first derivative of s(r). Factor n(l).
-2*(l - 10)*(l + 1)/5
Let x(h) = 2*h + 26. Let a be x(-12). Suppose -u - a*t = -0*u + 4, 2*t - 2 = -4*u. Factor -13*p**2 + 9*p**2 + u*p**4 + 8*p**2 - 6*p**3.
2*p**2*(p - 2)*(p - 1)
Let a(q) = q**2 - q - 1. Let v = 50 + -27. Suppose -2 = 5*b + v. Let g(i) = -44*i**2 - 52*i - 17. Let c(y) = b*g(y) - 40*a(y). Factor c(z).
5*(6*z + 5)**2
Factor 532 + 214*v + 78*v - v**2 - 532 - 75*v.
-v*(v - 217)
Let 2645/2 - 759/2*a + 51/2*a**2 - 1/2*a**3 = 0. Calculate a.
5, 23
Let i be 8/(-684)*-10 + (-10)/(-95). Let w(a) be the first derivative of i*a**3 + 4 + 50/3*a - 10/3*a**2. Factor w(p).
2*(p - 5)**2/3
Factor 0 - 1/4*w**3 - 59/4*w - 15*w**2.
-w*(w + 1)*(w + 59)/4
Let c(w) = w**2 + 2*w + 1. Let i be c(-1). Suppose 18*y - 60 = 8*y. Factor -4*q**2 + 2*q**2 - y*q + 0*q**2 + i*q.
-2*q*(q + 3)
Let q(g) be the first derivative of -13/6*g**4 + 2/15*g**5 + 1/9*g**6 - 2/9*g**3 + 130 + 4*g**2 + 0*g. What is o in q(o) = 0?
-4, -1, 0, 1, 3
Let z(t) be the first derivative of -2*t**5/25 + 7*t**4/2 + 352*t**3/5 + 1692*t**2/5 - 3860. Suppose z(o) = 0. Calculate o.
-6, 0, 47
Let p be ((-268)/(-335))/(1598/2115). Find x such that -2/17*x**4 - 216/17 + 216/17*x + p*x**2 - 16/17*x**3 = 0.
-6, 1, 3
Let p(z) = -z**3 + 14*z**2 - 33*z + 262. Let m be p(13). Determine t so that 2/7*t**m + 48/7*t + 288/7 = 0.
-12
Let b = 110891917/27768429 + 2/181493. Let s = 37/9 - b. Find o such that 0*o + s*o**2 + 0 = 0.
0
Let n(l) = 31*l**3 + 412*l**2 - 169*l + 20. Let z(f) = 2*f**3 - f**2 + 1. Let k(p) = 5*n(p) - 15*z(p). Factor k(h).
5*(h + 17)*(5*h - 1)**2
Let t(g) = -8 + 13 - 1 - 5. Let u be 7 + ((-4)/(-6))/(18/(-27)). Let l(p) = -8*p**3 + 4*p**2 + 20*p + 14. Let f(i) = u*t(i) + l(i). Find v, given t