.
-7, -6, 1
Let h(l) be the third derivative of l**8/3 - 64*l**7/35 + 33*l**6/10 - 41*l**5/15 + l**4 + 55*l**2. Let h(o) = 0. What is o?
0, 3/7, 1/2, 2
Let o = 1462/13401 + 3/1489. Solve -o*v - 1/9*v**3 + 2/9*v**2 + 0 = 0 for v.
0, 1
Let q(g) be the second derivative of -65536*g**5/5 + 1024*g**4 - 32*g**3 + g**2/2 - g - 7. Solve q(i) = 0.
1/64
Let p(a) be the third derivative of -a**7/1995 - 2*a**6/285 - 3*a**5/95 - 4*a**4/57 - 5*a**3/57 - 1047*a**2. Factor p(b).
-2*(b + 1)**3*(b + 5)/19
Suppose z = 2*z - 4. Determine g so that 612 - 5*g**z + 5*g**2 - 612 = 0.
-1, 0, 1
Let g = -5297 + 5301. Solve 0 - 2/3*l**3 + 2/9*l**g + 2/3*l**2 - 2/9*l = 0 for l.
0, 1
Factor 78*q - 57*q + 6*q**2 - 24*q**2 - 18*q**3 + 15*q**3.
-3*q*(q - 1)*(q + 7)
Suppose k = -3*n + 57, -5*k - 2*n = -326 + 93. Let j = 47 - k. Solve 4/9*o**j - 2/9*o + 2/9*o**3 - 4/9 = 0.
-2, -1, 1
Let x(m) be the second derivative of 0 - 1/60*m**4 + 1/5*m**3 + 9*m - 9/10*m**2. Factor x(w).
-(w - 3)**2/5
Let d(c) be the third derivative of c**7/630 + 17*c**6/180 + 8*c**5/5 - 17*c**4/36 - 289*c**3/18 - 46*c**2. Determine a so that d(a) = 0.
-17, -1, 1
Let j(g) be the second derivative of -3*g**5/8 + 23*g**4/8 - 27*g**3/4 + 27*g**2/4 + 378*g. Solve j(x) = 0 for x.
3/5, 1, 3
Let i be (6/5)/(((-2)/20*-6)/1). Solve -3/7*p**i - 3/7*p**3 + 0 + 0*p = 0.
-1, 0
Suppose -11*o + 24 = -9. Suppose -m = -3, -g = -o*m - 0 + 9. Find j such that j + g - 5/2*j**2 = 0.
0, 2/5
Let v = -2/38199 + 55177/12733. Determine d so that 1/3*d**4 - 2*d**3 + v*d**2 + 4/3 - 4*d = 0.
1, 2
Let o(m) be the first derivative of m**6/51 - 2*m**5/85 - 11*m**4/34 - 14*m**3/51 + 10*m**2/17 + 16*m/17 + 145. Let o(r) = 0. What is r?
-2, -1, 1, 4
Let j(g) be the third derivative of 3/40*g**6 + 0 + 0*g + 1/10*g**5 + 0*g**4 - 3/112*g**8 + 0*g**3 - 1/35*g**7 + 10*g**2. Suppose j(b) = 0. Calculate b.
-1, -2/3, 0, 1
Factor -2/15*t**4 + 0*t**2 + 0 - 4/15*t**3 + 0*t.
-2*t**3*(t + 2)/15
Let q = 127/22 - 359/66. Solve 0*c - q*c**2 + 1/3*c**3 + 0 = 0.
0, 1
Let a = -1 - 10. Let s = -9 - a. Factor 4*w**2 - 3*w**2 + 3*w + s*w**2.
3*w*(w + 1)
Let i(t) = 13*t**5 - 18*t**4 + 18*t**3 - 9*t**2. Let m(p) = -6*p**5 + 8*p**4 - 8*p**3 + 4*p**2. Let y(o) = -4*i(o) - 9*m(o). Factor y(x).
2*x**5
Let d(a) be the first derivative of 0*a**2 + 30 + 0*a + 1/30*a**6 + 2/25*a**5 + 0*a**3 + 1/20*a**4. Factor d(p).
p**3*(p + 1)**2/5
Let u(f) = -35*f**5 + 215*f**4 - 360*f**3 + 240*f**2 - 35*f. Let v(l) = -3*l**5 + 18*l**4 - 30*l**3 + 20*l**2 - 3*l. Let c(n) = 2*u(n) - 25*v(n). Factor c(o).
5*o*(o - 1)**4
Let l(o) be the third derivative of o**6/280 - 3*o**4/56 + o**3/7 - 59*o**2 - o. Find c, given that l(c) = 0.
-2, 1
Let z(p) be the second derivative of -p**7/168 + 3*p**5/80 - p**4/24 + 404*p. Factor z(j).
-j**2*(j - 1)**2*(j + 2)/4
Factor -1/6*b - 1/6*b**4 + 1/2*b**2 - 1/3 + 1/6*b**3.
-(b - 2)*(b - 1)*(b + 1)**2/6
Let s(i) = -9*i**4 + 39*i**3 - 137*i**2 + 31*i + 241. Let y(f) = -28*f**4 + 116*f**3 - 412*f**2 + 92*f + 728. Let t(n) = -16*s(n) + 5*y(n). Factor t(g).
4*(g - 6)*(g - 3)**2*(g + 1)
Let b(z) be the first derivative of -1/3*z + 2 + 0*z**4 - 1/15*z**5 + 2/9*z**3 + 0*z**2. Factor b(p).
-(p - 1)**2*(p + 1)**2/3
Let u = 26993741/72 + -374922. Let w = u + 75/8. Suppose 4/9 - 2/3*j**2 - w*j**3 + 2/3*j = 0. What is j?
-2, -1/2, 1
Let l = 33 + -38. Let u(q) = 3*q**2 - 8*q + 5. Let s(f) = 3*f**2 - 7*f + 4. Let m(o) = l*s(o) + 4*u(o). Determine t, given that m(t) = 0.
0, 1
Let g(k) = 5*k**2 - 34*k + 41. Let i(r) = -r**2 + r - 2. Let s(a) = g(a) + 6*i(a). Factor s(l).
-(l - 1)*(l + 29)
Let x(v) be the first derivative of -v**6/3 + 14*v**5/5 - 17*v**4/2 + 34*v**3/3 - 6*v**2 + 96. Solve x(w) = 0 for w.
0, 1, 2, 3
Find d such that 38/7 - 34/7*d - 4/7*d**2 = 0.
-19/2, 1
Let h(m) be the first derivative of -m**2 + m - 20. Let k be h(-1). What is f in -1/5*f**2 + 0*f - 2/5*f**k - 1/5*f**4 + 0 = 0?
-1, 0
Let l(h) be the third derivative of -2/45*h**5 + 7*h**2 + 1/12*h**4 + 1/9*h**3 + 0*h + 0. Factor l(j).
-2*(j - 1)*(4*j + 1)/3
Let r = 79 - 79. Let p(b) be the third derivative of 1/18*b**3 + 1/36*b**4 + r - 5*b**2 + 0*b + 1/180*b**5. Factor p(q).
(q + 1)**2/3
Factor -47 + 152*a + 12 - 12*a**2 - 30 - 31.
-4*(a - 12)*(3*a - 2)
Let a(h) = -3*h. Let w be a(-2). Suppose -z**2 - w + 3*z**3 + 4*z**4 + 16 - 3*z - 9 - 4*z**2 = 0. What is z?
-1, 1/4, 1
Let c = 292 - 292. Let l(i) be the second derivative of 0*i**2 + 0 + 2/45*i**6 + c*i**3 + 1/18*i**4 + 2*i + 1/12*i**5 + 1/126*i**7. What is g in l(g) = 0?
-2, -1, 0
Let d(g) be the second derivative of 3/2*g**3 - 2*g**2 - 1/2*g**4 + g + 0 + 1/20*g**5. Factor d(a).
(a - 4)*(a - 1)**2
Let o be 37/370 + (-19)/(-10). Let r(k) be the second derivative of 1/42*k**3 + 0 + 2*k - 1/7*k**o - 1/140*k**5 + 1/28*k**4 - 1/210*k**6. Solve r(c) = 0.
-2, -1, 1
Let c = 1194 - 1192. What is d in 2/9*d**c + 0 + 0*d = 0?
0
Let b = 5 + -3. Suppose 5*x - 12 - 24 = b*l, 0 = -3*x + 2*l + 20. Find h, given that -12*h**3 + 3*h**2 - x*h**3 + h**2 + 16*h**4 + 0*h**2 = 0.
0, 1/4, 1
Let j(u) be the first derivative of -5/12*u**3 + 5*u + 4 + 0*u**2. Find p such that j(p) = 0.
-2, 2
Let w(t) = -116*t**2 + 1 + 241*t**2 - 124*t**2. Let a be w(-1). Let 0 - 2/15*j**3 + 0*j - 4/15*j**a = 0. What is j?
-2, 0
Let q(r) = -10*r**3 + 20*r**2 + 20*r - 45. Let y(b) = -b**3 - b**2 + 1. Let n(z) = -q(z) + 15*y(z). Suppose n(t) = 0. What is t?
-6, -2, 1
Let z(u) be the first derivative of -3/5*u**5 - 9/2*u**2 + 9/4*u**4 + u**3 + 0*u + 32. Find a, given that z(a) = 0.
-1, 0, 1, 3
Let c(w) = -w**5 + 2*w**4 + w**3 + w**2 - w - 1. Let r(a) = 13*a**4 - 41*a**3 + 20*a**2 + 4. Let x(y) = 12*c(y) + 3*r(y). Solve x(m) = 0 for m.
0, 1/4, 1, 2
Let q(h) be the third derivative of h**10/50400 + h**9/10080 - h**8/960 + h**7/420 + 8*h**5/15 + 25*h**2. Let t(c) be the third derivative of q(c). Factor t(g).
3*g*(g - 1)**2*(g + 4)
Let l(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 0*n + 1/42*n**7 + 0*n**5 - 1/12*n**6 + 11*n**2. Factor l(x).
5*x**3*(x - 2)
Let p(f) be the second derivative of -f**7/70 + f**6/5 - 93*f**5/100 + 11*f**4/10 + 16*f**3/5 - 48*f**2/5 - 192*f. Solve p(t) = 0.
-1, 1, 2, 4
Let r(y) be the second derivative of y**7/147 - y**6/21 + 3*y**5/35 - y + 4. Factor r(w).
2*w**3*(w - 3)*(w - 2)/7
Factor -1/7*m**5 + 1/7*m**4 + 0*m + 5/7*m**3 + 3/7*m**2 + 0.
-m**2*(m - 3)*(m + 1)**2/7
Suppose 0 = 55*h - 51*h + 344. Let m = -84 - h. Factor 1/3*x**m - 4/3*x + 1.
(x - 3)*(x - 1)/3
Determine k so that 1/4*k**3 + 0 + 13/4*k + 7/2*k**2 = 0.
-13, -1, 0
Let w(a) be the third derivative of -4/15*a**3 + 0*a - 1/10*a**4 - 5*a**2 - 1/75*a**5 + 0. Factor w(u).
-4*(u + 1)*(u + 2)/5
Let k(p) be the second derivative of -8*p**2 - 1/12*p**4 - 3*p + 4/3*p**3 + 0. Determine x, given that k(x) = 0.
4
Let u(b) = -b + 1. Let a(k) = -16*k + 46. Let s(l) = a(l) - 12*u(l). Let m be s(8). Factor -2/9*c**m - 2/9*c + 2/9 + 2/9*c**3.
2*(c - 1)**2*(c + 1)/9
Let x(h) = -8*h**4 - 16*h + 18. Let v(l) = 7*l**4 - l**3 - l**2 + 17*l - 17. Let i(j) = 6*v(j) + 5*x(j). Factor i(m).
2*(m - 3)*(m - 1)**2*(m + 2)
Let d(s) be the first derivative of 2 + 5/6*s**6 - 5*s**5 + 5*s**2 + 45/4*s**4 - 35/3*s**3 + 0*s. Solve d(l) = 0 for l.
0, 1, 2
Let q be (26/(-13))/(-2 - 16/(-10)). Let o(i) be the first derivative of 3/2*i**4 + 6 - 3*i**2 - 21/5*i**q + 7*i**3 + 0*i. Suppose o(b) = 0. What is b?
-1, 0, 2/7, 1
Let o(r) = 20*r**2 - 80*r + 91. Let j(q) = 4*q**2 - 16*q + 18. Let m = 39 + -37. Let g(w) = m*o(w) - 11*j(w). Let g(c) = 0. Calculate c.
2
Suppose 25 = 5*n - y, 2*y - 5*y = -n - 9. Let v be (n/(-2))/((-4)/4). Let -1/3*q**2 + 5/3*q - 1 - 1/3*q**v = 0. Calculate q.
-3, 1
Let b(n) = 2*n**3 + n**2 + n + 3. Let t(d) = 26*d**3 - 384*d**2 + 232*d - 11. Let g(o) = 35*b(o) - 5*t(o). Determine a, given that g(a) = 0.
1/4, 1/3, 32
Factor -28/5*h**2 + 26*h + 2/5*h**3 - 40.
2*(h - 5)**2*(h - 4)/5
Suppose 108*h - 92 - 167 = 65. Solve 0*p - 1/2*p**3 - h*p**2 + 0 = 0.
-6, 0
Let h(p) = -25*p**2 - 8*p + 14. Let n(l) = 3*l**2 - 2*l - 5. Let b(m) = 2*m**2 - 3*m - 5. Let i(u) = 5*b(u) - 6*n(u). Let f(a) = -4*h(a) + 11*i(a). Factor f(d).
(3*d - 1)*(4*d + 1)
Let w(o) be the first derivative of 2*o**5/45 - 2*o**3/27 - 146. Solve w(l) = 0.
-1, 0, 1
Let a be (2/(-3))/((1120/24)/(-10)). Let j(d) be the second derivative of 5/42*d**4 - 5*d + a*d**3 - 2/7*