 second derivative of -z**7/14 + 2*z**6/5 - 3*z**5/10 - z**4 + 3*z**3/2 - 16*z. Solve w(g) = 0 for g.
-1, 0, 1, 3
What is h in -55*h**2 - 430 - 15*h**3 + 430 + 20*h = 0?
-4, 0, 1/3
Suppose 4*v - 22 = 2*r - 0, 5*v + 4*r - 21 = 0. Suppose -8 = -n - n + m, v*n = 4*m + 26. Factor 1/3*f - 1/3*f**n + 2/3.
-(f - 2)*(f + 1)/3
Suppose -4 = -2*x, -2*u + 0*x + 10 = 2*x. Factor 14*q**2 + u*q + q - 16*q**2.
-2*q*(q - 2)
Let p(u) be the first derivative of 2*u**7/105 + u**6/10 - 2*u**4/3 + 3*u**2 - 7. Let l(j) be the second derivative of p(j). Suppose l(x) = 0. What is x?
-2, 0, 1
Let 15*g + 75 + 85*g - 170 - 5*g**2 = 0. What is g?
1, 19
Suppose 4*t - 5*w - 47 = 0, 3941*t - 3*w - 12 = 3944*t. Suppose -2/19*y - 2/19*y**t + 0 + 4/19*y**2 = 0. Calculate y.
0, 1
Suppose 27 = 4*r + 5*c, 2*c = -169*r + 168*r + 9. Let 5/3*g**r + 5/3*g**4 - 20/3*g**2 - 20/3*g + 0 = 0. What is g?
-2, -1, 0, 2
Let n(d) be the first derivative of -18*d**6 - 96*d**5/5 + 59*d**4 - 16*d**3/3 - 8*d**2 - 415. Solve n(f) = 0.
-2, -2/9, 0, 1/3, 1
Let v = -44 - -45. Suppose 0*f + 3*y - 9 = -4*f, -v = f + 4*y. Suppose 2/9*m**2 + 2/3*m**f - 4/9*m + 0 = 0. Calculate m.
-1, 0, 2/3
Let 485*o**3 - 25*o**4 - 8*o**5 - 1135*o**2 + 13*o**5 + 1130*o - 52*o**4 - 8*o**4 - 400 = 0. What is o?
1, 2, 5, 8
Suppose -4*b - 7 = -519. Let i be b/6*(76/(-16) + 6). Solve 32/3 + i*h - 98/3*h**3 - 14/3*h**2 = 0.
-4/7, 1
Let v be 8/(-6) - (-10)/7. Let u(f) be the first derivative of -1/21*f**6 - 1 + v*f**3 + 0*f + 6/35*f**5 + 0*f**2 - 3/14*f**4. Find y such that u(y) = 0.
0, 1
Let g(i) = i**2 - 2. Let z(b) = 4*b**2 - 16*b - 22. Let o(h) = 2*g(h) - z(h). Factor o(q).
-2*(q - 9)*(q + 1)
Let u(o) be the first derivative of 4/3*o + 13/24*o**4 + 11/3*o**2 - 22 - 25/9*o**3. Factor u(r).
(r - 2)**2*(13*r + 2)/6
Let -196/3 + 28/3*g - 1/3*g**2 = 0. What is g?
14
Let 46/5*t**2 + 5 + 1/5*t**4 + 12/5*t**3 + 12*t = 0. Calculate t.
-5, -1
Let m(a) be the second derivative of 0 + 2/13*a**2 - 1/78*a**4 + a + 1/39*a**3. Factor m(x).
-2*(x - 2)*(x + 1)/13
Let o(f) be the first derivative of f**3/3 + 3*f**2 - 12*f + 17. Let j be o(-8). Solve 25*d**j + 2*d**2 - 75/2*d**3 + 2*d + 125/2*d**5 + 0 = 0.
-1, -1/5, 0, 2/5
Let t be (-16)/24 - 95/(-120). Let n(b) be the third derivative of t*b**4 + 0*b - 1/10*b**5 - b**2 + 0 + 0*b**3 + 1/40*b**6. Factor n(j).
3*j*(j - 1)**2
Let l(w) be the third derivative of w**8/392 + 107*w**7/735 + 3*w**6 + 792*w**5/35 - 144*w**4/7 - 2*w**2 + 167. Factor l(s).
2*s*(s + 12)**3*(3*s - 1)/7
Determine c so that -20/3*c**2 + 0 - 4/3*c**4 + 8/3*c + 16/3*c**3 = 0.
0, 1, 2
Let p(k) be the third derivative of k**6/24 - 5*k**5/12 - 5*k**4/4 + 129*k**2. Let p(n) = 0. Calculate n.
-1, 0, 6
Factor 80*u**3 - 154*u**3 - 55*u - 9*u + 78*u**3.
4*u*(u - 4)*(u + 4)
Let q(x) be the second derivative of -7/2*x**2 + x + 0 + 0*x**3 - 7/720*x**6 + 1/36*x**4 + 1/30*x**5. Let s(i) be the first derivative of q(i). Factor s(o).
-o*(o - 2)*(7*o + 2)/6
Let c(d) be the first derivative of 3/8*d**4 - 3*d + 16 - 3/4*d**3 - 3*d**2 + 3/20*d**5. Determine f, given that c(f) = 0.
-2, -1, 2
Factor 2 - 4*a**3 - 2*a**4 - 278556*a**2 + 4*a + 278556*a**2.
-2*(a - 1)*(a + 1)**3
Suppose 7*o - 10 = 2*o. Let z = -611 + 5507/9. Let 16/9*y - 10/9*y**o + z = 0. Calculate y.
-2/5, 2
Let p(n) = n**2 - 12*n + 10. Let c be p(9). Let f = 20 + c. Let f*w + 6*w**2 - w**4 - 5*w**4 - 3*w**4 - 3*w**5 + 3*w**4 = 0. What is w?
-1, 0, 1
Suppose -4*v = -0*v - 2*v. Factor -8*w**3 + 19*w**3 - 15*w**3 + 4*w + v*w.
-4*w*(w - 1)*(w + 1)
Let t(o) be the first derivative of -3*o**5/10 + 33*o**4/8 - 31*o**3/2 + 63*o**2/4 - 825. Let t(f) = 0. What is f?
0, 1, 3, 7
Let m(x) be the third derivative of -x**6/252 + x**5/210 + x**3 + 14*x**2. Let h(n) be the first derivative of m(n). Suppose h(q) = 0. What is q?
0, 2/5
Let y be (-2)/(-3)*(-336)/(-6 - -2). Let f be 8/9*210/y - 3. Factor -3/2*h**3 + 11/6*h**2 + 0 - f*h.
-h*(h - 1)*(9*h - 2)/6
Factor -578/7*k - 2/7*k**3 + 0 + 68/7*k**2.
-2*k*(k - 17)**2/7
Let k = 18 + -16. Suppose -k*z = -2*m + 8, -3*z - 6 = -3. Factor x**3 - 2*x**m - x + 5*x - 3*x**3.
-4*x*(x - 1)*(x + 1)
Let g be 901/(-159)*(-3)/(-4) - -5. Factor 1/4 + 1/4*p**3 + 3/4*p + g*p**2.
(p + 1)**3/4
Let b(x) = 5*x**3 + 9*x. Let a(l) = l**3 + 2*l. Let w be ((-98)/4)/7*2. Let z be (-2)/3*(10 + w). Let k(h) = z*b(h) + 9*a(h). Suppose k(d) = 0. Calculate d.
0
Let k(f) = -5*f**3 - 29*f**2 - 58*f - 17. Let x(b) = b**3 + 5*b**2 + 10*b + 3. Let i(z) = 6*k(z) + 34*x(z). Factor i(c).
4*c*(c - 2)*(c + 1)
Let h be (-38)/(-34) - (11/11 - 8 - -8). Solve 0 - 2/17*d**3 + 2/17*d - 2/17*d**2 + h*d**4 = 0.
-1, 0, 1
Solve -123*p + 170*p - 4232 - 3*p**2 + p**2 + 137*p = 0.
46
Let x be (-62)/(-12) - 6/36. Suppose -x*m + 16 = -24. Suppose -4*p**5 + 7*p**2 + 4*p**3 + 24*p**2 - 11*p**2 + m*p - 4*p**4 + 8*p**3 = 0. What is p?
-1, 0, 2
Let l = 162/17 + -1322/153. Let r = -2/3 + l. Solve r*g**2 + 2/9 + 4/9*g = 0.
-1
Let u(g) = 7*g**3 - 20*g**2 + g - 9. Let t be u(3). Let a(q) be the first derivative of -2/39*q**t + 0*q + 1/13*q**2 - 3. Factor a(y).
-2*y*(y - 1)/13
Let o = -3/572 - -1153/1716. Let q(u) be the third derivative of -1/2*u**4 + o*u**3 + 1/5*u**5 - 2*u**2 + 0*u + 0 - 1/30*u**6. Suppose q(r) = 0. Calculate r.
1
Let 17*k**2 + 10*k**2 + 36*k - 10 - 21*k**3 - 2 = 0. What is k?
-1, 2/7, 2
Let y = -182 - -188. Suppose x + y = 4*d + 3*x, 0 = -4*x - 12. Solve -12/5*g - 3*g**d + 0 + 3/5*g**4 + 24/5*g**2 = 0.
0, 1, 2
Determine h so that 29/5*h**3 - 28/5*h**2 + 6/5 - 8/5*h**4 + 1/5*h = 0.
-3/8, 1, 2
Let l(f) = f**3 - 28*f**2 - 26*f + 731. Let o be l(28). Factor -2/5*s + 2/5*s**o + 0 + 0*s**2.
2*s*(s - 1)*(s + 1)/5
Let w(o) be the second derivative of o**5/25 - 14*o**3/15 + 12*o**2/5 + 2*o - 1. Factor w(j).
4*(j - 2)*(j - 1)*(j + 3)/5
Let z(f) be the first derivative of f**5/10 - 3*f**4/4 + 13*f**3/6 - 3*f**2 + 2*f - 105. Factor z(y).
(y - 2)**2*(y - 1)**2/2
Let n = -413/1462 + 5/17. Let y = n + 83/258. Solve 1/3*f**3 + 0 + 0*f + 0*f**2 - y*f**4 = 0.
0, 1
Factor -10/7*y**3 + 0 - 2*y**2 - 6/7*y - 2/7*y**4.
-2*y*(y + 1)**2*(y + 3)/7
Let q(l) = -10*l**3 - 44*l**2 - 5*l + 41. Let o(u) = 2*u**3 + 3*u + 1. Let n(v) = 3*o(v) + q(v). Factor n(z).
-4*(z - 1)*(z + 1)*(z + 11)
Let m(b) be the second derivative of 9/2*b**3 + 0 + 21/10*b**5 + 1/14*b**7 + 6*b - 3*b**2 - 4*b**4 - 3/5*b**6. Factor m(n).
3*(n - 2)*(n - 1)**4
Let i(m) be the third derivative of -m**5/20 + 11*m**4/8 + 21*m**3 - 280*m**2. Factor i(v).
-3*(v - 14)*(v + 3)
Let w be ((-42)/35)/((-1)/20). Let n = w + -14. Let -100 + 20*f - 5*f + n*f - 4*f**2 + 15*f = 0. Calculate f.
5
Let x(v) be the third derivative of 1/75*v**5 + 0*v + 0 + 19*v**2 - 1/30*v**4 - 2/525*v**7 + 1/150*v**6 + 0*v**3. Let x(f) = 0. What is f?
-1, 0, 1
Let g = -43 + 46. Let o be (g/15 + 0)/((-18)/(-30)). What is l in -2/3 - o*l**2 - l = 0?
-2, -1
Let x(o) be the third derivative of -o**8/80 + o**7/140 + 7*o**3/6 - 11*o**2. Let q(s) be the first derivative of x(s). Factor q(w).
-3*w**3*(7*w - 2)
Let j(b) = -b**4 + b + 1. Let c(l) = -9*l**4 + 39*l**3 - 105*l**2 - 141*l + 6. Let t(v) = c(v) - 6*j(v). Factor t(u).
-3*u*(u - 7)**2*(u + 1)
Let y be (762/25)/((-63)/210). Let b = 102 + y. Find w, given that -1/5*w + 0 - b*w**2 - 1/5*w**3 = 0.
-1, 0
Factor 0*q**2 + 0*q + 0 + 1/5*q**4 + 8/5*q**3.
q**3*(q + 8)/5
Let z(b) be the third derivative of 0 - 10*b**2 + 0*b**4 + 0*b**3 + 1/30*b**6 + 0*b + 0*b**5. Suppose z(w) = 0. What is w?
0
Let u be ((-2)/8)/(0 - (-4)/(-32)). Suppose 0 = u*d - 3*d + 2. Solve 0 - 6*y**2 + d*y + 5/2*y**3 = 0 for y.
0, 2/5, 2
Let q(n) = n**2 - n + 1. Let t(w) = 153*w**3 + 68*w**2 + 7*w - 1. Let z(k) = q(k) + t(k). What is r in z(r) = 0?
-1/3, -2/17, 0
Suppose -28 = -9*y - 10. Factor -73*o**4 - 52*o**2 - 38*o**y + 20*o + 19*o**4 - 2 + 18*o**2 + 108*o**3.
-2*(o - 1)*(3*o - 1)**3
Suppose 5*n - 24 = -2*x - 39, 3*x = n + 20. Determine s so that -4/5*s + 4/5*s**x + 0*s**3 - 8/5*s**2 + 8/5*s**4 + 0 = 0.
-1, 0, 1
Factor 2*a - 11*a + 27*a**2 - 31*a - 77*a**2 + 15*a**3.
5*a*(a - 4)*(3*a + 2)
Let q(w) be the first derivative of -w**4/2 + 7*w**2 + 12*w + 137. Solve q(c) = 0.
-2, -1, 3
Let m = 67 + -61. Factor -3*s**5 + m*s**5 - 8*s**4 - s**5 + 14*s**4.
2*s**4*(s + 3)
Let w(k) be the first derivative of 3*k**5/5 + 21*k**4/4 + 15*k**3 + 27*k**2/2 - 33. Factor w(g).
3*g*(g + 1)*(g 