*(5*y - 2)
Let u(i) = -7*i + 269. Let k be u(38). Let f(z) be the first derivative of 13 + 8/3*z + 0*z**2 - 2/9*z**k. Suppose f(h) = 0. What is h?
-2, 2
Let r(j) = -3*j**3 - 27*j**2 - 33*j + 60. Let q(p) = -3*p**3 - 27*p**2 - 33*p + 59. Let y(m) = 3*q(m) - 4*r(m). Factor y(a).
3*(a - 1)*(a + 3)*(a + 7)
Let u(p) be the first derivative of -2*p**5/15 - 17*p**4/3 + 160*p**3/3 - 32*p**2/3 - 2560*p/3 + 988. Determine a so that u(a) = 0.
-40, -2, 4
What is v in -3*v**2 - 859*v + 841*v + 0*v**2 - 24 + 0*v**2 = 0?
-4, -2
Let n(q) = 5*q**2 - 613*q + 2940. Let i be n(5). Suppose -1 = -2*z + 3. Factor i - 1/5*c**z + 3/5*c.
-c*(c - 3)/5
Solve -40*w**2 - 12*w + 96 + 3*w**2 + 28*w**2 + 6*w**2 = 0 for w.
-8, 4
Suppose 16*y + 17*y = -14*y - 4*y. Let d(t) be the first derivative of -1/8*t**4 + y*t + 22 + 0*t**2 - 1/3*t**3. Factor d(p).
-p**2*(p + 2)/2
Let g(i) be the third derivative of -i**7/105 - 9*i**6/10 - 52*i**5/15 + 187*i**2 - 11*i. Factor g(h).
-2*h**2*(h + 2)*(h + 52)
Suppose 3*l = 2*v - 248, -253 = 5*l + 5*v + 177. Let w be ((-1)/(-11))/(l/(-168)). Find a, given that 1/11 + w*a - 1/11*a**4 - 2/11*a**3 + 0*a**2 = 0.
-1, 1
Let a(g) be the first derivative of -g**4 + 88*g**3/3 + 146*g**2 + 200*g + 838. Let a(j) = 0. Calculate j.
-2, -1, 25
Let f(s) be the third derivative of 0*s**3 - 4*s + 0 + 4*s**2 - 1/24*s**6 + 0*s**4 - 1/12*s**5. Factor f(a).
-5*a**2*(a + 1)
Let g(s) = s**4 - 3*s**3 - 71 + 17 + 2*s - 10*s**2 + 61. Let v(m) = m**3 + m**2 + 1. Let a(h) = -g(h) - v(h). Solve a(y) = 0.
-2, -1, 1, 4
Let d(r) = -2*r**3 - 31*r**2 - 14*r + 19. Let k be d(-15). Suppose -2*z + k + 26 = 5*g, 3*z = 3*g + 45. Solve 3*c**3 - 4*c**3 + z*c - 17*c - 3*c**2 = 0.
-2, -1, 0
Let h(l) = l + 26. Let j be h(-9). Let n(i) = -i**3 - 55*i**2 - 66*i + 6. Let m(z) = -2*z**3 - 165*z**2 - 197*z + 17. Let d(f) = j*n(f) - 6*m(f). Factor d(t).
-5*t*(t - 12)*(t + 1)
Suppose -3*u - 25 = 2*v, -5*v - 90 + 65 = 0. Let z be 8/36*1/u*-5. Let -z*s**2 - 16/9*s - 32/9 = 0. What is s?
-4
Suppose -4*o + 205 = -5*v, -7*o + 99 = -2*v - 2*o. Let u = 39 + v. Find l such that -15*l - 29*l + 26*l**3 + 24*l**u + 2*l**5 + 12*l**4 + 52*l = 0.
-2, -1, 0
Let t be (-21)/(-4) - 9/(-216)*-6. Let u be 132/(-18) + (1 - -7). Factor 2/3*w**t + 0*w**2 + 0 + u*w**4 + 0*w**3 + 0*w.
2*w**4*(w + 1)/3
Let g(q) be the third derivative of -q**8/13440 + q**7/1680 + q**6/32 + q**5/30 - 13*q**3/2 + 233*q**2. Let o(z) be the third derivative of g(z). Factor o(u).
-3*(u - 5)*(u + 3)/2
Let r(z) be the second derivative of z**8/336 + z**7/56 + z**6/24 + z**5/24 + 14*z**3/3 + 164*z + 1. Let h(y) be the second derivative of r(y). Factor h(j).
5*j*(j + 1)**3
Let k(r) be the third derivative of -26/9*r**3 + 0*r + 81*r**2 + 0 - 17/24*r**4 + 1/180*r**5. Solve k(d) = 0 for d.
-1, 52
Suppose 22 - 18 = -2*c. Let r be (36/24)/(c/(-4)). Factor 11*f**3 - 4*f**3 - 7*f**r + f**4.
f**4
Let v(u) be the second derivative of u**9/756 - u**8/210 + u**7/210 + 5*u**3/2 + 16*u. Let q(i) be the second derivative of v(i). Factor q(a).
4*a**3*(a - 1)**2
Determine t so that -444*t - 3*t**2 + 294*t**4 + 18*t**2 + 96 - 1723*t**5 + 825*t**3 + 1747*t**5 = 0.
-8, -4, -1, 1/4, 1/2
Let v(i) be the second derivative of -i**6/2520 - i**5/140 - i**3/3 + 70*i**2 + 99*i - 2. Let b(g) be the second derivative of v(g). Solve b(d) = 0 for d.
-6, 0
Let h be (-238)/28 + 193/18. Factor -2/9*s**2 - 16/9 - h*s + 2/9*s**3.
2*(s - 4)*(s + 1)*(s + 2)/9
Let i(x) = -13*x**3 + 11*x**2 - 8*x. Let a(f) = -72*f**3 + 60*f**2 - 44*f. Let j = 138 + -143. Let z(q) = j*a(q) + 28*i(q). Determine b, given that z(b) = 0.
0, 1
Let c(l) be the third derivative of -18*l**3 + 15*l**4 + 15/8*l**6 - 3/14*l**7 + 1/112*l**8 + 0 + 70*l**2 + 0*l - 29/4*l**5. Let c(i) = 0. What is i?
1, 6
Let x(n) = -n**3 - 5*n**2 + 2. Let a be x(-5). Let f = -111081/13 + 8545. Find j such that -10/13*j**a + 22/13*j - f = 0.
1/5, 2
Let o(n) = 9*n**2 - 19288*n - 6221032. Let h(m) = 4*m**2 - 6428*m - 2073677. Let p(z) = -8*h(z) + 3*o(z). Determine a so that p(a) = 0.
-644
Factor 920*n**2 - 1818*n**2 + 26*n + 897*n**2 - 48.
-(n - 24)*(n - 2)
Let r(n) = -13*n**3 - 18*n**2 - 62*n + 202. Let u(w) = -11*w**3 - 17*w**2 - 59*w + 201. Let m(t) = -6*r(t) + 7*u(t). Factor m(a).
(a - 13)*(a - 3)*(a + 5)
Suppose -244/15*y - 448/3 - 2/15*y**2 = 0. Calculate y.
-112, -10
Suppose 4*p + 46 - 70 = 0. Let a be (-3)/p - (-19)/6. Determine r, given that 7/3*r**2 - a*r - 4/3 + 5/3*r**3 = 0.
-2, -2/5, 1
Let m = 5 - 7. Let u be (4/(4*m))/(1/(-6)). Factor z**3 - u*z**3 - z**5 + z**3 + 2*z**3.
-z**3*(z - 1)*(z + 1)
Let w(t) be the third derivative of -t**6/210 + 2*t**5/15 + 10*t**4/21 - 400*t**3/7 + 1741*t**2. Let w(a) = 0. Calculate a.
-6, 10
Factor -1338*m + 2/3*m**3 + 668*m**2 + 2008/3.
2*(m - 1)**2*(m + 1004)/3
Suppose 21*s - 54 = 3 + 6. What is c in -24/5 - 32/5*c - 6/5*c**2 + 2/5*c**s = 0?
-2, -1, 6
Solve 48/13*c + 40/13*c**2 + 0 - 2/13*c**4 + 4/13*c**3 = 0.
-2, 0, 6
Let k(w) be the first derivative of 2*w**3/3 + 9*w**2 + 16*w - 2954. Factor k(j).
2*(j + 1)*(j + 8)
Suppose -15*i + 128 = 17*i. Factor -12*k**3 + 2*k + 8*k + k**5 + 2*k**4 + 0*k**i + k**5 + 4*k**2 - 6.
2*(k - 1)**3*(k + 1)*(k + 3)
Let -18/7*v**4 - 3/7*v**5 - 75/7*v + 54/7 + 78/7*v**3 - 36/7*v**2 = 0. Calculate v.
-9, -1, 1, 2
Let b(g) = -g**4 + 2*g**3 - 3*g**2 + 2*g - 1. Let n(l) = 221*l**3 - 4*l**2 - 217*l - 1. Let q(r) = -5*b(r) + 5*n(r). Factor q(v).
5*v*(v - 1)*(v + 1)*(v + 219)
Let g(j) be the second derivative of j**6/40 - j**5/20 - j**4/8 - 7*j**3/3 - 110*j. Let v(m) be the second derivative of g(m). Find p such that v(p) = 0.
-1/3, 1
Determine b so that 74*b - 23/2*b**3 + 3*b**4 - 18*b**2 - 48 + 1/2*b**5 = 0.
-8, -3, 1, 2
Let x(p) be the second derivative of p**5/5 - 745*p**4/6 + 371*p**3/3 + 372*p**2 - 4462*p. Let x(w) = 0. What is w?
-1/2, 1, 372
Suppose -6 = -2*g - g - 4*k, 3*g - 6 = -2*k. Let x be g - (4 - 4 - (-6)/(-2)). Determine f, given that -4*f**2 + 8*f**4 + 6*f**x - 10*f**3 + 0 + 0 = 0.
-2, -1/3, 0, 1
Let s = 4504 + -4499. Let n(h) be the second derivative of 2/3*h**3 + 0 - 1/12*h**4 + 2*h**2 - 1/20*h**s - 8*h. Suppose n(u) = 0. What is u?
-2, -1, 2
Suppose -x + 8 = -3*w, -2*x - 3 + 5 = w. Suppose -b + 6 = x*h, 2 = -b + h + 5. Solve -2*m**2 + 0*m**4 + 3*m**4 - m**2 + 0*m**b = 0 for m.
-1, 0, 1
Let s = 275 + -270. Factor 2*h + 16*h**3 - 11*h**3 + s + 16*h**2 + 13*h - h**2.
5*(h + 1)**3
Let q(b) be the second derivative of -b - 20/3*b**3 + 3*b**4 - 2/5*b**5 - 14 + 6*b**2. Factor q(x).
-4*(x - 3)*(x - 1)*(2*x - 1)
Let l(u) = -u**3 + 6*u**2 - 5*u. Let r = 841 - 842. Let o be 39/9 + 1/(-3). Let i(p) = p**2 - p. Let s(n) = o*i(n) + r*l(n). Factor s(f).
f*(f - 1)**2
Factor 300 + 135*v + 3/4*v**3 + 18*v**2.
3*(v + 4)*(v + 10)**2/4
Let s(f) be the first derivative of f**6/630 - 2*f**5/105 + f**4/14 - 2*f**3/3 - 13*f + 99. Let z(u) be the third derivative of s(u). Solve z(l) = 0.
1, 3
Let g(i) be the second derivative of -i**5/12 - 5*i**4/12 - 5*i**3/6 - 32*i**2 + 8*i + 1. Let l(o) be the first derivative of g(o). Factor l(k).
-5*(k + 1)**2
Let s(c) be the first derivative of c**6/36 - c**5/3 + c**4/4 + 14*c**3/9 - 7*c**2/12 - 3*c + 1023. Let s(k) = 0. Calculate k.
-1, 1, 2, 9
Let 0 + 185/11*m**2 + 184/11*m + 1/11*m**3 = 0. What is m?
-184, -1, 0
Let w = 664141/13 - 51087. Find x such that -16/13*x**3 + 8/13*x + 8/13*x**5 - w*x**4 - 10/13 + 20/13*x**2 = 0.
-1, 1, 5/4
Let p(k) = -12 - 360*k**2 + 183*k**2 - 4 + 33*k**4 - 72*k**3 + 201*k**2 + 32*k. Let r(s) = s**4. Let g(x) = -p(x) + 6*r(x). What is t in g(t) = 0?
-2/3, 2/3, 2
Let b(c) be the third derivative of -85*c**2 + 1/75*c**5 + 0 + 0*c - 13/15*c**4 + 338/15*c**3. Let b(l) = 0. What is l?
13
Let u(o) be the third derivative of -o**8/11760 - o**7/980 + o**6/420 + o**5/84 + 43*o**4/12 - 89*o**2. Let r(s) be the second derivative of u(s). Factor r(y).
-2*(y - 1)*(y + 5)*(2*y + 1)/7
Let w be (0 - -2)*-2 - -7. Suppose z = 4*f - 39, 4*f + 18 - 55 = w*z. Let -47*q**2 + q**3 - 3*q**3 - 35*q + 12*q**2 - 8*q**3 - f = 0. Calculate q.
-2, -1, -1/2
Let d = 748 + -745. Let c(s) be the first derivative of 3/8*s**4 - 9/2*s**3 + 81/4*s**2 - 81/2*s + d. Determine u so that c(u) = 0.
3
Let c(k) be the third derivative of k**7/31500 + k**6/2250 - k**5/300 + 7*k**4/24 - 40*k**2. Let u(x) be the second derivative of c(x). Factor