 + 2*i**2 + 101*i. Find u, given that o(u) = 0.
-1, 34
Let z(x) = -x**3 - x**2 - x + 2. Let n(k) = -12*k**3 + 24*k**2 - 12*k - 4. Let o(h) = n(h) - 4*z(h). Solve o(b) = 0.
-1/2, 1, 3
Let 14*t**2 - 185*t + 395*t - 188*t + 10 + 2*t**3 = 0. What is t?
-5, -1
Factor 2/7*i**2 - 2/7 - 2/7*i**3 + 2/7*i.
-2*(i - 1)**2*(i + 1)/7
Let b(o) be the second derivative of o**4/3 + 11*o**3/6 + 3*o**2 + 2*o - 40. What is w in b(w) = 0?
-2, -3/4
Let 6*d**5 + 2*d**3 - 13*d**4 - 3*d**5 + 0*d**5 + 9*d**4 - d**5 = 0. What is d?
0, 1
Let k(t) be the first derivative of -2*t**5/35 - t**4/14 + 744. What is j in k(j) = 0?
-1, 0
Suppose 29*i + 0 + 1/2*i**3 + 59/2*i**2 = 0. Calculate i.
-58, -1, 0
Let s(n) be the third derivative of 3*n**6/200 - 13*n**5/100 + 13*n**4/40 - 3*n**3/10 - 11*n**2. Factor s(h).
3*(h - 3)*(h - 1)*(3*h - 1)/5
Let b(t) be the first derivative of -t**8/5880 - t**7/980 + t**5/105 - 29*t**3/3 - 39. Let y(m) be the third derivative of b(m). Factor y(o).
-2*o*(o - 1)*(o + 2)**2/7
Let d = -13 - -18. Let -6*w**3 - 4*w**2 + 0*w**4 - 7*w**4 + d*w**4 = 0. What is w?
-2, -1, 0
Suppose -27*f + 25*f = -4. Suppose -s = -5*d + 23, f*d - 5*s - 26 = -3. Solve -8 - 1/2*l**2 - d*l = 0 for l.
-4
Let r be 1/(1/(-15)*-5). Find o, given that -8*o**2 + 5*o**2 + o**3 - 5*o**3 + 5*o**r + 4 = 0.
-1, 2
Let j(m) = -m**2 + 2*m + 7. Let b be j(3). Factor b - 21*t**2 + 33*t - 48*t - 3 + 5.
-3*(t + 1)*(7*t - 2)
Let c(g) be the first derivative of -10*g**6/3 - 17*g**5 - 20*g**4 + 65*g**3/3 + 50*g**2 + 20*g - 8. Find o, given that c(o) = 0.
-2, -1, -1/4, 1
Let r(h) be the second derivative of h**5/90 - 35*h**4/54 + 323*h**3/27 - 289*h**2/9 - 51*h + 1. Determine z so that r(z) = 0.
1, 17
Let n(c) = -c**3 - c**2 + 5*c - 1. Let b be (-9)/(-1 - 2)*-1. Let t be n(b). Factor -1/3*f - f**t + 1/3*f**4 + 2/3 + 1/3*f**3.
(f - 1)**2*(f + 1)*(f + 2)/3
What is x in -72*x**2 + 801*x - 1572*x + 4*x**4 + 851*x + 16*x**3 - 28 = 0?
-7, 1
Determine p so that 0*p**2 - 11*p + 11*p**2 + 5128 + 2*p**2 - 5130 = 0.
-2/13, 1
Let q(g) = -g**2 - 47*g - 96. Let o(r) = 2*r**2 + 142*r + 288. Let a(k) = 3*o(k) + 10*q(k). Factor a(v).
-4*(v + 3)*(v + 8)
Solve -24 + 12 - 24*g**2 + 6*g**5 + 36*g**4 + 28*g**3 - 38*g + g**5 + 3*g**5 = 0.
-2, -1, -3/5, 1
Suppose -5 + 2 = -3*d. Suppose 2*c - 3 - d = 0. Factor u**3 + 0*u**2 - u**c + u - u**2.
u*(u - 1)**2
Let o = -341 + 478. Suppose o - 129 = 4*g. Factor -3*k**g - 9/2*k + 3*k**3 + 9/2*k**4 - 3/2 + 3/2*k**5.
3*(k - 1)*(k + 1)**4/2
Let a(g) = -g**2 - 27*g - 18. Let k be a(-24). Suppose -52*m = -k*m. Factor -3/2*t + m + 3*t**2 - 3/2*t**3.
-3*t*(t - 1)**2/2
Let w be (-2)/(-4)*(-5 - 1). Let n be ((-2)/5)/(w/15). Solve -8 - 6 - 8*c - 2 - c**n = 0.
-4
Let f(k) be the third derivative of -k**8/131040 - k**7/16380 - k**6/4680 + 9*k**5/20 - 12*k**2. Let d(x) be the third derivative of f(x). Factor d(i).
-2*(i + 1)**2/13
Let m(x) = 20*x**2 + 21184*x - 2534432. Let n(y) = -2*y**2 - 1926*y + 230403. Let w(s) = 3*m(s) + 32*n(s). What is j in w(j) = 0?
240
Let o(n) = -n**2 - 6*n + 22. Let j be o(-8). Determine v, given that 2*v**4 + 9*v**2 - j*v**4 + v**2 - 2*v**2 + 32 - 12*v**3 + 48*v = 0.
-2, -1, 2
Let b(r) = 6*r**2 + 256*r - 614. Let k(d) = -d**2 - 51*d + 123. Let f(t) = 3*b(t) + 16*k(t). Factor f(c).
2*(c - 21)*(c - 3)
Let i(u) be the second derivative of u**5 + 55*u**4/12 + 5*u**3 + 122*u. Factor i(y).
5*y*(y + 2)*(4*y + 3)
Let -6/7*v - 4/7 - 2/7*v**2 = 0. What is v?
-2, -1
Let t = 5163 + -25807/5. Factor 0 + t*n + 2/5*n**2.
2*n*(n + 4)/5
Let c(b) = -6*b + 24. Let k be c(-3). Suppose -35*u**2 + k*u - 56*u - 56*u - 40 - 5*u**3 = 0. What is u?
-4, -2, -1
Let l(u) be the second derivative of -u**6/10 - 12*u**5/5 + 3*u**4/4 + 25*u**3 + 48*u**2 - 1016*u. Solve l(k) = 0.
-16, -1, 2
Suppose -3*t = 2*t + 70. Let w be (4/7)/(t/(-49)). Find d such that d**5 - 2*d - d**4 + d**3 + 4*d**4 - 3*d**2 + 0*d**w = 0.
-2, -1, 0, 1
Let d = -6 + 8. Find n, given that -6 + 138*n**2 + 10*n - 122*n**d + 0 = 0.
-1, 3/8
Let n(l) be the third derivative of l**10/50400 - l**9/10080 + l**8/6720 - 3*l**5/10 - 5*l**2. Let w(i) be the third derivative of n(i). Factor w(t).
3*t**2*(t - 1)**2
Let k(a) be the first derivative of -a**7/210 + a**6/120 + a**5/60 - a**4/24 - 2*a**2 + 11. Let r(p) be the second derivative of k(p). Factor r(q).
-q*(q - 1)**2*(q + 1)
Let q(l) be the third derivative of -l**7/7980 + l**6/1710 + 2*l**5/285 + 8*l**3 - 5*l**2 + 5*l. Let y(m) be the first derivative of q(m). Factor y(o).
-2*o*(o - 4)*(o + 2)/19
Let y(b) be the first derivative of -b**3/3 - 15*b**2/2 + 16*b + 75. Let y(c) = 0. What is c?
-16, 1
Let g(q) = 2*q**2 - 62*q - 357. Let n be g(36). Solve -2/23*b**n + 0 - 12/23*b**2 + 0*b = 0.
-6, 0
Let n(o) be the first derivative of o**6/57 + 2*o**5/95 - o**4/38 - 2*o**3/57 - 324. Find f such that n(f) = 0.
-1, 0, 1
Suppose 4*l = l + 138. Determine w, given that -12*w**2 - 12*w - 4*w**3 + 20 + 22 - l = 0.
-1
Let q(k) = -540*k**5 + 1296*k**4 - 1148*k**3 + 448*k**2 - 60*k + 8. Let g(y) = -y**3 - y - 2. Let w(p) = 4*g(p) + q(p). Let w(f) = 0. Calculate f.
0, 2/5, 2/3
Let k(r) = -3*r**2 + 200*r - 2000. Let x(f) = 65*f**2 - 4400*f + 44000. Let z(n) = -45*k(n) - 2*x(n). Suppose z(q) = 0. Calculate q.
20
Suppose -3*f - 2*f = -10. Determine d, given that -9*d**4 + 19*d**4 - 22*d**3 + f*d**3 - 5*d**4 = 0.
0, 4
Let v(m) = -53*m**3 - 486*m**2 - 1152*m - 3. Let c(y) = -476*y**3 - 4372*y**2 - 10368*y - 26. Let r(l) = 6*c(l) - 52*v(l). Factor r(b).
-4*b*(5*b + 24)**2
Let m(g) be the second derivative of g**5/90 + 71*g**4/54 + 1295*g**3/27 + 1225*g**2/9 + 2*g - 662. Find j, given that m(j) = 0.
-35, -1
Factor -194/7*i + 44/7 - 18/7*i**2.
-2*(i + 11)*(9*i - 2)/7
Let r = 57/2 - 28. Let n be (24/(-27) - -1)/((-2)/(-9)). Factor -r*x + 1/6 + n*x**2 - 1/6*x**3.
-(x - 1)**3/6
Suppose 178 + 86 = 2*b. Let y be 16/(-96) + 46/b. Factor 0 + 4/11*l + 8/11*l**3 + 10/11*l**2 + y*l**4.
2*l*(l + 1)**2*(l + 2)/11
Let n be ((-37)/(32560/32))/((-1)/10). Let 8/11*c**2 - n*c + 4/11*c**3 - 2/11*c**4 - 6/11 = 0. Calculate c.
-1, 1, 3
Let p(r) be the third derivative of -r**8/1848 + 8*r**7/1155 + r**6/66 - 4*r**5/165 - 3*r**4/44 + 46*r**2 + 3. Suppose p(o) = 0. What is o?
-1, 0, 1, 9
Suppose 2*q - 5 = -z, z + 5*q - 25 = -4*z. Factor 1/3*d**3 + 0 + 1/3*d**4 + 0*d - 1/3*d**2 - 1/3*d**z.
-d**2*(d - 1)**2*(d + 1)/3
Let f(b) be the third derivative of 0*b**3 - 1/160*b**5 + 0*b + 1/160*b**6 - 1/560*b**7 + 0*b**4 - 2*b**2 + 0. Suppose f(l) = 0. Calculate l.
0, 1
Let g(x) be the first derivative of -x**4/16 + 23*x**3/12 - 43*x**2/8 + 21*x/4 - 425. Find u such that g(u) = 0.
1, 21
Let b = -22 + 244/11. Let i(h) be the first derivative of -2/11*h - 2/33*h**3 - b*h**2 + 5. Factor i(g).
-2*(g + 1)**2/11
Let q be 1*-5*(-297)/495. What is o in 0 + 1/2*o - 1/4*o**4 + o**q - 5/4*o**2 = 0?
0, 1, 2
Suppose 0 = -2*m - 17*m + 2*m. Suppose -1/3*o**2 + m + 5/6*o**3 + 1/6*o**5 - 2/3*o**4 + 0*o = 0. Calculate o.
0, 1, 2
Suppose 0 = 3*m + 4*i - 10, -7*m + 4*i = -3*m - 4. Let z(w) = -w + 8. Let b be z(6). Determine n so that 0*n**b + 9*n**m + 10*n + 16*n**2 + 1 = 0.
-1/5
Let c(g) be the third derivative of 2/105*g**5 - 13*g**2 + 1/420*g**6 + 1/84*g**4 + 0 + 0*g - 2/7*g**3. Factor c(a).
2*(a - 1)*(a + 2)*(a + 3)/7
Let 8*s**4 - 3*s**4 - 217*s + 429*s - 70*s**3 - 142*s - 5*s**2 = 0. What is s?
-1, 0, 1, 14
Let r(p) be the third derivative of -1/12*p**5 - 8*p**2 + 0 - 5/3*p**4 - 40/3*p**3 + 0*p. Find n such that r(n) = 0.
-4
Let o(x) be the third derivative of -x**6/480 + 9*x**5/80 - 156*x**2 + 1. Factor o(y).
-y**2*(y - 27)/4
Let v(q) be the third derivative of q**5/180 + 19*q**4/36 - 13*q**3/6 - 10*q**2 + 10*q. Factor v(p).
(p - 1)*(p + 39)/3
Let g(a) be the first derivative of 49*a**4/16 + 959*a**3/12 + 67*a**2 + 19*a + 242. Determine j, given that g(j) = 0.
-19, -2/7
Let x = -42 + -42. Let n be (3/x)/((-2)/8). Factor n*j**2 - 1/7*j**4 + 0*j + 0 + 0*j**3.
-j**2*(j - 1)*(j + 1)/7
Let g = -921 - -924. Let z(q) be the first derivative of 0*q**2 + 4/3*q**g + 9 + 0*q. Factor z(i).
4*i**2
Let b(u) be the second derivative of u**5/30 - 7*u**4/9 + 49*u**3/9 - 12*u**2 + 33*u + 2. Determine t, given that b(t) = 0.
1, 4, 9
Let z(h) be the second derivative of h**7/630 + h**6/30 - 7*h**5/30 + 7*h**4/12 + 6*h. Let p(n) be the third derivative of z(n). Factor