4*z + 1)
Let q(w) be the second derivative of 81*w**5/40 + 255*w**4/8 + 82*w**3/3 + 9*w**2 - 169*w. Suppose q(t) = 0. What is t?
-9, -2/9
Suppose -4*p - 3*p + 21 = 0. Let x be 12/3*3/p. Solve 5*g**x - 9*g + 4*g + 2*g**3 + 0*g**4 + 15*g**2 - 17*g**3 = 0.
0, 1
Let u(y) = -6 - 2*y**3 - 11*y + 4*y**2 - 6*y**3 + 9*y**3. Let b(w) = 3*w**3 + 7*w**2 - 23*w - 13. Let l(s) = 4*b(s) - 7*u(s). Factor l(v).
5*(v - 2)*(v + 1)**2
Suppose -3*u - 4*z = -13, -5*z = -5*u - 0*u - 25. Let y be 0 + u - (1 - 32/14). Suppose 6/7*w - y - 4/7*w**2 = 0. What is w?
1/2, 1
Let v(f) be the third derivative of -f**7/1260 - f**6/720 + f**5/360 + f**4/144 - 32*f**2. Determine k so that v(k) = 0.
-1, 0, 1
Let w(u) be the second derivative of u**5/4 + 15*u**4/2 - 95*u**3/6 + 41*u. Let w(z) = 0. Calculate z.
-19, 0, 1
Let p(l) be the second derivative of 9*l**5/70 - 5*l**4/7 + 4*l**3/3 - 8*l**2/7 + l + 34. Factor p(f).
2*(f - 2)*(3*f - 2)**2/7
Factor -138/11*q - 2/11*q**3 - 180/11 - 32/11*q**2.
-2*(q + 3)**2*(q + 10)/11
Let i = 1811/15 + -603/5. Factor 2/15*g - i*g**2 + 0.
-2*g*(g - 1)/15
Let b be (-132)/(-28) + (-6)/(-21). Factor -12*o + 2*o**3 - 3*o**b + 12*o + 6*o**4 - 5*o**3.
-3*o**3*(o - 1)**2
Let z = 1023 + -150380/147. Let i(r) be the second derivative of 0 + 0*r**2 - 2*r + 0*r**3 + 0*r**4 - 1/70*r**5 - z*r**7 + 2/105*r**6. Factor i(g).
-2*g**3*(g - 1)**2/7
Find v, given that 6 - 15/4*v**2 - 3/4*v**3 - 3/2*v = 0.
-4, -2, 1
Let u(o) = -o**2 - 10*o + 13. Let d be u(-11). Factor -3*q + 21*q**3 + 28*q**3 - 13*q**3 - 30*q**d + 3*q**5 + 12*q - 18*q**4.
3*q*(q - 3)*(q - 1)**3
Factor -24/7*w - 6/7*w**2 + 0 + 3/7*w**3.
3*w*(w - 4)*(w + 2)/7
Let w(x) = 2*x**3 - 116*x**2 - 298*x - 188. Let q(r) = -r**3 + 77*r**2 + 198*r + 125. Let u(l) = -8*q(l) - 5*w(l). Suppose u(j) = 0. What is j?
-15, -2, -1
Let c(n) = n**2 - 12*n + 37. Let j be c(5). Let r(i) be the second derivative of 0*i**j + 0*i**4 + 0 + 5*i + 1/5*i**5 - 1/24*i**3. Factor r(s).
s*(4*s - 1)*(4*s + 1)/4
Let z(o) be the third derivative of -o**5/30 + 5*o**4/12 + 14*o**3/3 + 8*o**2 - 8. Factor z(x).
-2*(x - 7)*(x + 2)
Let f(t) = 3*t**3 + 134*t**2 - 273*t + 144. Let v(q) = -5*q**3 - 270*q**2 + 545*q - 290. Let i(j) = 5*f(j) + 2*v(j). Factor i(d).
5*(d - 1)**2*(d + 28)
Let i = -1283 + 1283. Suppose i - 5*j + 5/2*j**2 = 0. Calculate j.
0, 2
Factor 2 - 421*v**2 - 2 + 165*v - 5*v**4 + 8*v**3 + 67*v**3 + 186*v**2.
-5*v*(v - 11)*(v - 3)*(v - 1)
Let h(b) be the first derivative of -b**9/1512 + b**8/315 - b**7/315 - 10*b**3/3 - 1. Let g(a) be the third derivative of h(a). Factor g(m).
-2*m**3*(m - 2)*(3*m - 2)/3
Suppose -4*o + 1 = -3*o, 5*o + 1 = -2*f. Let y be 7/(-35)*f - 2/5. Let -4/5*n + 4/5 + y*n**2 = 0. Calculate n.
2
Let l be -2 + (-7 - (-95)/10). Let h(m) be the first derivative of 33/8*m**4 + l*m**3 + 3/4*m**6 + 0*m + 33/10*m**5 - 2 - 3/2*m**2. Let h(n) = 0. Calculate n.
-2, -1, 0, 1/3
Let b = 770 - 2306/3. Suppose 32 = 4*q + 4*p, -2*q - 3*p + 31 = 2*p. Determine x so that 1/3*x - b*x**4 - 2*x**2 + 0 + q*x**3 = 0.
0, 1/4, 1
Let c(t) = -3*t**2 + 12. Let d(n) be the third derivative of 3*n**5/20 - 6*n**3 - 4*n**2. Let q(w) = 7*c(w) + 2*d(w). Factor q(p).
-3*(p - 2)*(p + 2)
Let m be (-108)/(-30) + -3 - 8/(-20). Factor 56/3*k**2 + m - 16/3*k**3 - 25/3*k.
-(k - 3)*(4*k - 1)**2/3
Let o be (2/4 - 31/2)*-1. Suppose 13 + 11*r + o*r**2 - 10*r**3 + 14*r + 7 + 15*r - 5*r**4 = 0. What is r?
-2, -1, 2
Suppose 0 = -74*t + 80*t - 858. Let i be t/78 + 1/6*-2. Factor -15/4*n**2 + 0 - i*n.
-3*n*(5*n + 2)/4
Let u(w) = -4*w**3 + 2*w**2 + 18*w + 10. Let v(r) = 8*r**3 - 3*r**2 - 35*r - 19. Let c(q) = -5*u(q) - 2*v(q). Factor c(f).
4*(f - 3)*(f + 1)**2
Let y be (-6710)/4*20/(-125). Let c = -266 + y. Determine n, given that -4/5*n**4 - c*n**2 - 16/5*n + 16/5*n**3 + 16/5 = 0.
-1, 1, 2
Suppose -56 = 4*n - 2*u + 6*u, 2*n + 4*u = -38. Let p be (4/n + 1)/((-130)/(-156)). Factor -2/3*l + 0 - p*l**2.
-2*l*(l + 1)/3
Let v(b) = 15*b**2 + 538*b + 39762. Let p(y) = -7*y**2 - 270*y - 19881. Let z(x) = 13*p(x) + 6*v(x). Find f, given that z(f) = 0.
-141
Factor -2/21*c**3 + 8/21 + 2/3*c + 4/21*c**2.
-2*(c - 4)*(c + 1)**2/21
Let u be (-1 - -2) + -3 - -2. Suppose -17 = 4*f + 5*x, -x = -u*f + f + 3. Find o, given that 3*o**3 - 3*o**3 + o**4 + o**f + 2*o**3 = 0.
-1, 0
Let q(d) = 6 - 7*d + 0 - 3 + d**2 + 2. Let k be q(7). Factor 1 + 12*p**k + 139*p**3 + 13*p**5 + 95*p**4 + 3 + 97*p**2 + 32*p.
(p + 1)**3*(5*p + 2)**2
Let k(z) be the third derivative of -z**5/570 + z**4/19 - 9*z**3/19 + z**2 + 112. Let k(m) = 0. Calculate m.
3, 9
Let y be (-48 - -11) + (-1 - -4). Let w = y + 37. Factor -1/2*n**4 + 0 - 1/2*n**w + 0*n + 0*n**2.
-n**3*(n + 1)/2
Let y(r) be the second derivative of -r**7/28 + 7*r**6/60 - r**5/8 + r**4/24 - 91*r. Suppose y(b) = 0. What is b?
0, 1/3, 1
Let g = -58 + 106. Solve -27*v**2 - 117*v**2 + 1 + g*v**3 + 3 - 3*v + 5 = 0 for v.
-1/4, 1/4, 3
Suppose -5*p + 2 + 4 = 3*g, -4*g + 8 = 4*p. Solve 0*o**3 + 0 + p*o - 1/4*o**4 + 0*o**2 = 0.
0
Let k(t) = -4*t - 30. Let s be k(-8). What is z in -55*z**s - 145*z + 26*z**3 - 31*z**3 + 180 + 25*z = 0?
-6, 1
Let l(c) be the first derivative of -c**6/3420 - c**5/228 - 22*c**3/3 - 8. Let k(i) be the third derivative of l(i). Find w such that k(w) = 0.
-5, 0
Let m be 39/(-15) - 4/10. Let z be (-2)/(28/(-8) - m). Solve -6*a**2 - 10*a**z + 5*a**3 - 3*a**5 + a + 7*a**3 + 6*a**5 = 0.
0, 1/3, 1
Let p(u) be the first derivative of -3*u**4/4 + 3*u**3 - 3*u**2 + 113. Factor p(b).
-3*b*(b - 2)*(b - 1)
Let g(c) = -c**2 + 10*c - 21. Let z be g(5). Suppose -3*m = -z*m + 60. Factor 0*v + 0 + 243/2*v**5 - 351/2*v**4 + m*v**3 - 6*v**2.
3*v**2*(v - 1)*(9*v - 2)**2/2
Let n(g) be the third derivative of g**10/15120 - g**8/3360 + g**4/2 - 8*g**2. Let p(a) be the second derivative of n(a). Factor p(o).
2*o**3*(o - 1)*(o + 1)
Let 140/9 + 2/3*p**3 + 22/3*p - 212/9*p**2 = 0. What is p?
-2/3, 1, 35
Let r = 19481/12990 - -2/6495. Factor 3/2*x + 0 + r*x**2.
3*x*(x + 1)/2
Let r be 1/(21/(-684))*434/(-310). Suppose r*p**2 + 10*p**4 + 38*p**3 + 16/5 + 104/5*p = 0. What is p?
-2, -1, -2/5
Let l(w) be the first derivative of -8/21*w**3 - 39 - 1/14*w**4 + 0*w - 3/7*w**2. Determine v, given that l(v) = 0.
-3, -1, 0
Let i(g) be the third derivative of g**8/36960 - g**6/3960 - 11*g**4/24 + 18*g**2. Let o(m) be the second derivative of i(m). Determine t, given that o(t) = 0.
-1, 0, 1
Let y(p) be the second derivative of 0 + 0*p**2 + 0*p**5 + 0*p**3 + 3*p + 1/6*p**6 - 5/12*p**4. Suppose y(q) = 0. Calculate q.
-1, 0, 1
Let m(t) be the third derivative of -5*t**9/3024 + t**7/168 - 2*t**3 - 14*t**2. Let y(u) be the first derivative of m(u). Let y(g) = 0. What is g?
-1, 0, 1
Suppose -4*o - 17 = -a - 28, -4*a = -2*o + 2. Suppose -12/7*t**4 + 0*t + 4/7*t**2 + 0 - 8/7*t**o = 0. What is t?
-1, 0, 1/3
Solve 0*t**3 + 6*t**2 - 9*t**2 + 7*t**2 + 10*t - t**3 - 7*t**2 = 0.
-5, 0, 2
Let n(r) = 5*r**2 + 269*r - 113. Let v(i) = 2*i**2 - i + 1. Let w(b) = -n(b) - 5*v(b). Determine g, given that w(g) = 0.
-18, 2/5
Let v = 28 - 25. Let l(w) = 4*w**3 - 6*w**2 - w + 3. Let o(h) = h**3 - h**2 - h + 1. Let p(x) = v*o(x) - l(x). Factor p(g).
-g*(g - 2)*(g - 1)
Let u(k) be the second derivative of -k**4/4 - 4*k**3 + 27*k**2/2 - 99*k. Factor u(s).
-3*(s - 1)*(s + 9)
Let 1/5*n + 0 + 2/5*n**2 + 1/5*n**3 = 0. What is n?
-1, 0
Let u be ((-517)/495 - (2 - 3))*-3. Find f, given that 4/15*f**2 - 2/5*f + u = 0.
1/2, 1
Factor 0 + 4/9*m**3 - 2/9*m**5 + 0*m**2 - 2/9*m + 0*m**4.
-2*m*(m - 1)**2*(m + 1)**2/9
Solve -2 - 33/2*r**3 + 30*r + 83/2*r**4 - 27/2*r**5 - 79/2*r**2 = 0.
-1, 2/27, 1, 2
Let w(o) be the second derivative of o**4/114 + 11*o**3/57 - 252*o + 1. Factor w(i).
2*i*(i + 11)/19
Suppose 5*g - 4*f = 7*g + 2, 2*f + 10 = 2*g. Let k be 28/(-36) + (0 - -1). What is u in 0 - 2/9*u - 4/9*u**2 - k*u**g = 0?
-1, 0
Factor 58/5*t**3 + 176/5 + 312/5*t + 6/5*t**4 + 204/5*t**2.
2*(t + 2)**3*(3*t + 11)/5
Let f(l) = -l**3 + 4*l**2 + 5*l + 2. Let z be f(5). Suppose -3*s + 1 = 5*h, -z*s + s + 5*h + 7 = 0. Factor 2*b**2 + b**2 - b - s*b**2 + 2*b.
b*(b + 1)
Let r(w) be the third derivative of -w**5/270 - 66*w**2. Solve r(h) = 0.
0
Let o(f) be the third derivative of -f**8/3360 - f**7/720 + f**6/720 + f**4/2 + 28*f**2. Let x(z) be the second derivative of o(z). Factor x(v).
-v*(v + 2)*(4*v - 1)/2
Suppose -