 k(12). Let i be 5 - ((-9)/o)/(13/(-936)). Factor 0*d**2 + 0*d - i*d**5 + 0 + 4/11*d**3 + 3/11*d**4.
-d**3*(d - 4)*(d + 1)/11
Let i(v) = v**3 + 3*v**2 - v - 6. Let q be i(-3). Let b = q + 19. Suppose t**2 + 3*t**2 + 0*t**2 - 20 - b*t = 0. Calculate t.
-1, 5
Let c = -293457 - -2641115/9. Factor -c*a**2 - 2450/9 + 140/9*a.
-2*(a - 35)**2/9
Let s(h) = -6*h**3 + 2*h**2 - 2*h. Let w be 2*9/6*(-2)/(-6). Let o(u) = -u. Let x(d) = w*s(d) - 6*o(d). Determine v so that x(v) = 0.
-2/3, 0, 1
Suppose 0 = 43*u - 49*u + 48. Suppose -4 = 3*t + 2*c, 0*c = -4*c - u. What is o in 0 + t*o - 1/3*o**4 + 1/3*o**5 - 4/3*o**3 + 4/3*o**2 = 0?
-2, 0, 1, 2
Let k(r) be the third derivative of -2*r**7/15 + 37*r**6/20 + 191*r**5/30 + 11*r**4/2 - 2*r**2 - 275*r - 2. Let k(t) = 0. What is t?
-1, -1/2, 0, 66/7
Let h be ((-2)/(-27))/(494/35568). Factor -2/3*l - 16/3*l**2 + h + 2/3*l**3.
2*(l - 8)*(l - 1)*(l + 1)/3
Let d(i) be the second derivative of i**5/4 + 95*i**4/4 + 395*i**3/3 - 540*i**2 + 796*i. Factor d(k).
5*(k - 1)*(k + 4)*(k + 54)
Let g be -8 - (-7658)/1281 - -2. Let i = 1118/915 + g. Factor 9/5*a**2 - 12/5 + i*a**3 - 12/5*a - 3/5*a**4.
-3*(a - 2)**2*(a + 1)**2/5
Let b(w) = -w**2 + 2*w + 3. Let o(t) = -7*t**2 + 17*t + 12. Suppose 0 = -12*q + 6*q + 6. Let v(u) = q*o(u) - 4*b(u). Let v(z) = 0. What is z?
0, 3
Let v(g) be the second derivative of -g**5/30 - 173*g**4/36 + 29*g**3/6 + 3604*g. Determine l, given that v(l) = 0.
-87, 0, 1/2
Let x = -400 - -420. Factor -x*n**2 + 4*n + 11 + 9 - 119*n**3 + 115*n**3.
-4*(n - 1)*(n + 1)*(n + 5)
Let i(y) be the third derivative of y**9/241920 + y**8/40320 - y**7/2520 - 29*y**5/60 + 52*y**2. Let k(t) be the third derivative of i(t). Solve k(s) = 0.
-4, 0, 2
Let q(y) be the second derivative of 5*y**4/4 + 2*y**3/3 + 10*y**2 - 3*y + 4. Let v(m) = 7*m**2 + m + 10. Let d(k) = 6*q(k) - 13*v(k). Solve d(n) = 0 for n.
1, 10
Let c be 3*(-4)/(-18) - (-478)/3. Solve -3200 - c*z + 0*z**2 - 2*z**2 + 175*z - 175*z = 0.
-40
Solve -2*y**5 + 92/5*y**2 - 56/5*y**3 + 66/5*y - 56/5*y**4 - 36/5 = 0 for y.
-3, -1, 2/5, 1
Let w(h) be the first derivative of 62 - 1/2*h**4 - 3/2*h**3 - 1/2*h - 3/2*h**2. Find x, given that w(x) = 0.
-1, -1/4
Let a(s) = s**3 + 2*s**2 + 6. Let u be a(0). Let y = -3 + u. Factor 3*h**5 - 6*h**2 - 44*h**3 + y + 9*h + 32*h**3 + 3.
3*(h - 2)*(h - 1)*(h + 1)**3
Let n = -7/412 - -3863/203116. Let v = n + 18731/1479. Solve -2/3*d**5 - 32/3*d + 14/3*d**4 - v*d**3 + 8/3 + 50/3*d**2 = 0 for d.
1, 2
Let z(x) be the second derivative of 12*x + 1/78*x**4 + 3 + 1/130*x**5 + 0*x**2 - 2/39*x**3. What is m in z(m) = 0?
-2, 0, 1
Let d(k) = -4*k**2 - 68*k - 168. Let l(h) = 4*h**2 + 67*h + 170. Let q(s) = -13*d(s) - 12*l(s). Solve q(x) = 0.
-18, -2
Let c(q) be the third derivative of q**5/240 - 11*q**4/96 - 7*q**3/4 + 2*q**2 - 33*q + 23. Factor c(x).
(x - 14)*(x + 3)/4
Let o(u) be the first derivative of u**4/2 - 14*u**3/3 + 16*u**2 - 24*u + 5764. Solve o(g) = 0 for g.
2, 3
Let b(r) be the third derivative of -22/3*r**3 - 5*r**2 + 0*r - 1/660*r**5 - 4 + 1/6*r**4. Find n, given that b(n) = 0.
22
Let f(x) be the second derivative of 2*x**5/15 - x**4/54 - 4*x**3/9 + x**2/9 + 41*x - 1. Solve f(t) = 0 for t.
-1, 1/12, 1
Let s(j) be the first derivative of j**6/540 - 2*j**5/9 + 100*j**4/9 - 4*j**3/3 + 9*j + 102. Let z(a) be the third derivative of s(a). Factor z(i).
2*(i - 20)**2/3
Let o be (1 + 6)*1*((-108)/14 - -8). Let w(d) be the third derivative of 5/12*d**5 + 0 - 1/24*d**6 + 5/2*d**3 + 12*d**o + 0*d - 35/24*d**4. Factor w(z).
-5*(z - 3)*(z - 1)**2
Let q(p) be the second derivative of p**9/3780 + p**8/280 - p**7/630 - p**6/30 - 35*p**4/3 + 18*p + 4. Let i(d) be the third derivative of q(d). Factor i(k).
4*k*(k - 1)*(k + 1)*(k + 6)
Solve 117/7*t**3 + 0 - 3/7*t**4 + 120/7*t**2 + 0*t = 0.
-1, 0, 40
Let g be (9 - (3 + 1))*4/10. Let v(y) = 3*y**3 + 52*y**2 + 41*y + 2. Let j(m) = -2*m**3 - 53*m**2 - 39*m - 3. Let i(h) = g*j(h) + 3*v(h). Factor i(u).
5*u*(u + 1)*(u + 9)
Let w(g) be the second derivative of 65*g**7/21 + 407*g**6/6 + 1245*g**5/4 + 1625*g**4/3 + 1210*g**3/3 + 120*g**2 - 3*g - 88. Solve w(t) = 0 for t.
-12, -2, -1, -1/2, -2/13
Let p be (-2366)/(-19530) + (-4)/(-30). Let h = p + -1/31. Factor 160/9*v**3 + 20/9*v - h - 160/9*v**4 + 64/9*v**5 - 80/9*v**2.
2*(2*v - 1)**5/9
Suppose 6*g + 15 = -3. Let s be (8 - 4)/((-10)/g). Factor -s*m**3 + 16/5*m**2 - 14/5*m + 4/5.
-2*(m - 1)**2*(3*m - 2)/5
Let d(n) be the first derivative of n**5/10 - 47*n**4/4 + 671*n**3/2 + 2303*n**2 + 4802*n - 1701. Factor d(m).
(m - 49)**2*(m + 2)**2/2
Let q(f) be the first derivative of f**4 + 0*f - 18 - 1/2*f**3 + 1/12*f**2 - 8/15*f**5. Factor q(t).
-t*(t - 1)*(4*t - 1)**2/6
Find x such that 8/3*x**5 + 182*x**3 + 144*x - 136/3*x**4 + 0 - 276*x**2 = 0.
0, 3/2, 2, 12
Let i(c) = -24*c - 11 + 12 + 34*c**3 + 5*c**4 + 10*c**2 - c**4 + 5. Let d(o) = o**4 + o**2 - 1. Let t(x) = -6*d(x) - i(x). Factor t(v).
-2*v*(v + 2)**2*(5*v - 3)
Let s(u) be the first derivative of u**5/90 - u**3/9 + 2*u**2/9 - 41*u - 99. Let n(f) be the first derivative of s(f). Determine k so that n(k) = 0.
-2, 1
Let t be (2/8)/((-10)/(-80)). Let q be 3/(-15)*8/(-16). Let 0 - q*y**3 - 1/5*y**t + 0*y = 0. What is y?
-2, 0
Let k be (-2)/12 - (12 - (-176)/(-12)). Let z(h) be the second derivative of 0 + 35/6*h**3 - 9*h - 5/2*h**4 - k*h**2. Factor z(b).
-5*(b - 1)*(6*b - 1)
Let y(q) be the second derivative of q**5/90 - 13*q**4/18 + 17*q**3 - 189*q**2 - 153*q. Determine j so that y(j) = 0.
9, 21
Let n = -10748 + 10751. Let d(l) be the first derivative of -50/3*l**n - 10*l**2 + 11 - 2*l. Factor d(w).
-2*(5*w + 1)**2
Let w(o) be the first derivative of 1/14*o**2 - 28 - 11/21*o**3 + 11/7*o - 1/28*o**4. Factor w(h).
-(h - 1)*(h + 1)*(h + 11)/7
Let i(z) be the second derivative of -z**6/18 - 179*z**5/60 - 59*z**4 - 456*z**3 + 288*z**2 + 2*z - 36. What is l in i(l) = 0?
-12, 1/5
Let g(u) be the third derivative of -178/105*u**7 + 1/21*u**8 + 0 + 158*u**2 + 0*u + 0*u**3 + 11/15*u**6 + 0*u**4 + 0*u**5. Let g(k) = 0. Calculate k.
0, 1/4, 22
Let j be ((-106)/(-159))/(42/180). Factor j - 6/7*a - 2/7*a**2.
-2*(a - 2)*(a + 5)/7
Let k(v) = 23*v**3 - 194*v**2 + 1319*v + 357. Let l(d) = -8*d**3 + 64*d**2 - 440*d - 126. Let m(g) = -6*k(g) - 17*l(g). Factor m(t).
-2*t*(t - 31)*(t - 7)
Let n(h) be the second derivative of -h**6/900 + h**5/60 + 2*h**4/5 - 35*h**3/3 - 132*h. Let r(t) be the second derivative of n(t). Solve r(u) = 0.
-3, 8
Suppose -o = -2*z + 6*z - 15, 25 = -5*o. Suppose -y = -r - 0*r, -z*r + 18 = 4*y. Determine x, given that 3*x**3 + 12/5*x**r + 6/5*x**4 + 0 + 3/5*x = 0.
-1, -1/2, 0
Let m(c) be the third derivative of c**6/140 + 5*c**5/28 + 3*c**4/4 + 3277*c**2. Factor m(u).
3*u*(u + 2)*(2*u + 21)/7
Let t(p) = -5*p**2 - 479*p - 180. Let m(k) = 5*k**2 + 481*k + 179. Let j(q) = 6*m(q) + 7*t(q). Factor j(g).
-(g + 93)*(5*g + 2)
Let i(c) be the first derivative of -c**4/2 - 16*c**3 - 268. Factor i(a).
-2*a**2*(a + 24)
Let t = 3566 - 3563. Let k(z) be the second derivative of -1/126*z**7 + 0*z**2 - 1/60*z**5 - 19*z + 0 + 0*z**t + 0*z**4 - 1/45*z**6. Factor k(m).
-m**3*(m + 1)**2/3
Let f = -16270 + 16276. Let q(g) be the third derivative of 4*g**2 + 0*g**3 + 1/168*g**7 - 5/24*g**4 + 0*g - 5/96*g**f + 0 + 1/6*g**5. Factor q(h).
5*h*(h - 2)**2*(h - 1)/4
Let h(m) be the first derivative of 83/2*m**4 - 4*m**2 - 32/3*m**3 + 0*m - 108*m**6 - 187 + 522/5*m**5. Find v such that h(v) = 0.
-2/9, 0, 1/4, 1
Let j(d) be the second derivative of -2*d**7/21 + 16*d**6/15 - 4*d**5/5 - 22*d**4/3 + 10*d**3/3 + 28*d**2 + 18*d - 109. Determine z, given that j(z) = 0.
-1, 1, 2, 7
Suppose -51928/9*k - 212562*k**3 - 60620*k**2 - 2058*k**4 - 1648/9 = 0. What is k?
-103, -2/21
Suppose 3*a + 119 = 5*j, -13 = -2*j - 2*a + 25. Suppose 0 = -j*d + 97 + 13. Solve 5/3*y**4 + 0 - 1/3*y**d - 3*y**3 - 2/3*y + 7/3*y**2 = 0 for y.
0, 1, 2
Let t(u) be the first derivative of -7*u**4/18 - 260*u**3/3 - 773*u**2/3 - 2312*u/9 + 3633. Suppose t(l) = 0. Calculate l.
-1156/7, -1
Let b(h) be the first derivative of -h**4/30 - 56*h**3/5 - 5292*h**2/5 - 2415. Suppose b(t) = 0. Calculate t.
-126, 0
Let c(b) be the first derivative of b**3/2 - 291*b**2/4 - 297*b + 7503. Suppose c(a) = 0. What is a?
-2, 99
Let q(u) be the second derivative of -3*u**5/5 + 29*u**4/4 - 17