tor 2*l**3 + 12*l - 7*l**3 + 6*l**4 - 3*l**3 + 6*l**q - 4*l**5 - 8*l**2 - 4.
-4*(l - 1)**4*(l + 1)
Let i(b) be the second derivative of b**6/60 - 2*b**5/5 + 53*b**4/24 - 31*b**3/6 + 6*b**2 + 149*b - 3. Suppose i(s) = 0. Calculate s.
1, 2, 12
Let x(a) be the third derivative of -a**8/1344 - a**7/280 + a**6/40 + a**5/12 - a**4/2 - 44*a**2 - 3*a. Solve x(g) = 0 for g.
-4, -3, 0, 2
Let c(a) be the third derivative of -a**6/90 + 2*a**5/45 + a**4/18 - 4*a**3/9 - 9*a**2 + 2*a. Factor c(q).
-4*(q - 2)*(q - 1)*(q + 1)/3
Let a(o) be the second derivative of -o**6/300 + 7*o**5/150 - o**4/4 + 3*o**3/5 + 39*o**2/2 - 9*o. Let c(d) be the first derivative of a(d). Factor c(m).
-2*(m - 3)**2*(m - 1)/5
Let y(f) be the third derivative of -7*f**6/8 + 41*f**5/6 - 95*f**4/6 - 20*f**3/3 - 151*f**2. Factor y(b).
-5*(b - 2)**2*(21*b + 2)
Let v be ((-1665)/153 - -11) + -4 + 1050/34. Suppose -15/2*k**2 - v*k - 27/2 = 0. Calculate k.
-3, -3/5
Let q(h) be the third derivative of h**5/120 - 7*h**4/16 - 11*h**3/6 - 118*h**2. Factor q(o).
(o - 22)*(o + 1)/2
Let r(q) be the second derivative of 4*q + 6/5*q**5 + 8*q**4 + 0*q**2 + 0 + 1/20*q**6 + 0*q**3. Solve r(n) = 0 for n.
-8, 0
Suppose -5*a - 3*c + c + 67 = 0, -76 = -4*a + 4*c. Let t(w) be the first derivative of -7 - 5/3*w**3 + 10*w**2 - a*w. Factor t(r).
-5*(r - 3)*(r - 1)
Let m(i) be the second derivative of -i**5/60 - 5*i**4/12 - 23*i**3/18 + 13*i**2/2 - 227*i + 1. Solve m(a) = 0.
-13, -3, 1
Let o(b) = 2*b**2 - b**3 - 15*b - 13 + 17*b + 6*b**2. Let u be o(8). Factor 32/5*i - 26/5*i**2 - 8/5 + 6/5*i**u.
2*(i - 2)**2*(3*i - 1)/5
Let l(c) = 0*c**2 + 7*c + c**2 + 16 - 22*c + 0*c**2. Let a(h) = -h**2 + 14*h - 16. Let t(s) = -7*a(s) - 6*l(s). Factor t(w).
(w - 4)**2
Let w be (-1)/3*(15 - 21). Let -27*x**2 + 2*x**w - 160*x + 12*x**2 + 8*x**2 - 1280 = 0. Calculate x.
-16
Let z = -27648/35 - -790. Let w(v) be the first derivative of -2/7*v**4 + z*v**5 - 3 - 4/7*v**2 + 2/7*v + 4/7*v**3. Factor w(c).
2*(c - 1)**4/7
Let g(x) be the first derivative of -x**6/9 - 64*x**5/15 - 60*x**4 - 3200*x**3/9 - 2000*x**2/3 - 191. Suppose g(q) = 0. Calculate q.
-10, -2, 0
Let v(b) = b**2 + 18*b - 38. Let p be v(-20). Factor -4/5 + w - 1/5*w**p.
-(w - 4)*(w - 1)/5
What is f in -1537*f**5 + 3217428*f + 160*f**4 - 3694084 + 332*f**4 + 22568*f**3 + 453592*f**2 + 1541*f**5 = 0?
-31, 1
Let y = 281 + -138. Let o be (-4)/(-22) - (-260)/y. Solve -6*k**o - 5*k**2 + 2*k + 3*k**2 - 6*k**3 + 4 = 0 for k.
-1, 2/3
Suppose -2*c + 47 = -3*q - 9, 0 = -3*c - 3*q + 69. Suppose 13*w = 18*w - c. Suppose 4/9*g**2 + 2*g**3 + 2/3*g**4 + 0 - 8/9*g**w + 0*g = 0. What is g?
-1, -1/4, 0, 2
Let u(o) be the second derivative of -o**4/4 - 11*o**3/6 + 3*o**2 + 10*o. Let s(j) = 2*j**2 + 7*j - 4. Let y(k) = -8*s(k) - 5*u(k). Factor y(f).
-(f - 1)*(f + 2)
Let y(q) be the first derivative of q**4/10 - 32*q**3/5 + 93*q**2/5 - 92*q/5 + 507. Find i such that y(i) = 0.
1, 46
Suppose -21*u - 21 = -24*u. Suppose 0 = -3*o + u*o. Suppose 0 + o*j - 1/2*j**5 + 0*j**2 + 0*j**3 + j**4 = 0. What is j?
0, 2
Let f(a) = -14*a**2 - 50*a - 248. Let n(r) = 16*r**2 + 51*r + 249. Let p(w) = 7*f(w) + 6*n(w). Factor p(g).
-2*(g + 11)**2
Let o(l) be the second derivative of -l**6/900 + 11*l**5/600 - l**4/24 + 2*l**3 - 30*l. Let t(q) be the second derivative of o(q). Find c, given that t(c) = 0.
1/2, 5
Let i(a) be the second derivative of 3 - 3/8*a**4 - 7*a - 2*a**3 + 11/40*a**5 - a**2. Suppose i(d) = 0. Calculate d.
-1, -2/11, 2
Let w(s) = -s**4 - s**3 + s - 2. Let c(r) = r**4 - 21*r**3 - 74*r**2 - 87*r - 26. Let n(o) = 2*c(o) + 6*w(o). Factor n(h).
-4*(h + 1)**2*(h + 2)*(h + 8)
Suppose -18*p = -19 - 71. Let g(h) be the first derivative of 0*h**4 + 0*h**2 - 3 + 10/3*h**3 - p*h - h**5. Factor g(j).
-5*(j - 1)**2*(j + 1)**2
Let c = 793 - 45200/57. Let a = 121/399 - c. Let 50/7*g**3 + 8*g + 76/7*g**2 + a*g**5 + 16/7*g**4 + 16/7 = 0. Calculate g.
-2, -1
Let r(v) = -4*v**2 - 4*v - 3. Let b(u) = -u + 14. Let w be b(13). Let t(f) = -f**2. Let a(x) = w*r(x) - 3*t(x). Find l such that a(l) = 0.
-3, -1
Suppose 2*g - 4 - 2 = 0. Let z(s) = 6*s - 22. Let d be z(4). Find v, given that -v**3 + 3*v**g - d*v**5 + 0*v**3 = 0.
-1, 0, 1
Factor -44*w**2 - 1321*w**3 - 46*w - 11 - 1 + 1311*w**3.
-2*(w + 1)*(w + 3)*(5*w + 2)
Let o(g) be the second derivative of -1/51*g**3 - 15*g + 0 - 1/102*g**4 + 2/17*g**2. Suppose o(r) = 0. Calculate r.
-2, 1
Let l be 1*3/(-15) + (128/10)/4. What is i in 23/2*i + 10*i**2 - 2*i**3 + l = 0?
-1/2, 6
Factor -6/11*b**3 - 42/11 - 90/11*b - 54/11*b**2.
-6*(b + 1)**2*(b + 7)/11
Let s(d) be the second derivative of d**6/15 + 159*d**5/5 + 8427*d**4/2 - 13*d + 13. Suppose s(r) = 0. What is r?
-159, 0
Let f(o) = -o**4 + o**3 - o - 2. Let r(i) = 2*i**3 - 2*i - 2. Suppose 0 = 2*b - 8 + 2. Let v(n) = b*r(n) - 2*f(n). Let v(z) = 0. What is z?
-1, 1
Factor -4/3*n**2 - 50/3 + 34*n.
-2*(n - 25)*(2*n - 1)/3
Suppose 2*h + 36 = 3*w - 3*h, 2*h = -3*w + 36. Determine l so that l**2 + 4*l**2 - w - 3*l**2 + l**2 = 0.
-2, 2
Factor 0 - 3/7*w**4 + 18/7*w + 3/7*w**2 - 18/7*w**3.
-3*w*(w - 1)*(w + 1)*(w + 6)/7
Suppose 0 = -37*o + 36*o + 3. Factor -20*d**2 + d**4 - 74*d**o + 54*d**3 - 6*d**4.
-5*d**2*(d + 2)**2
Factor 20*m**2 - 5 + 16*m + 1 + 4*m**3 + 4.
4*m*(m + 1)*(m + 4)
Let q(a) be the first derivative of 5 + 3/4*a**4 - 3*a**2 + 5/2*a**3 + 5*a. Let x(z) be the first derivative of q(z). Factor x(m).
3*(m + 2)*(3*m - 1)
Let w(u) = -20*u**2 + 44*u + 24. Let f(k) = -k**2 + k + 2. Let s(d) = 6*f(d) - w(d). Let s(m) = 0. Calculate m.
-2/7, 3
Factor 27/2*o + 0 - 3/2*o**2.
-3*o*(o - 9)/2
Let x = 18 + -10. Determine w so that -8*w**4 - w + 27*w**5 + x*w**2 - 31*w**5 + 5*w = 0.
-1, 0, 1
Let m be 15/(-135) + (-1)/(-9). Factor 2/7*j + 2/7*j**4 + m - 2/7*j**2 - 2/7*j**3.
2*j*(j - 1)**2*(j + 1)/7
Let j = -57 - -57. Let a(p) be the second derivative of j*p**2 + 0 + 1/2*p**3 - 1/4*p**4 - 3*p. Factor a(c).
-3*c*(c - 1)
Suppose 9*h = 12*h - 291. Determine j, given that 96*j**3 - 2*j**4 - 2*j**4 - 185*j**3 - 4*j**2 + h*j**3 = 0.
0, 1
Let j(s) = s**2 - 57*s + 119. Let y(u) = -u**2 + 59*u - 120. Let f(m) = 4*j(m) + 6*y(m). Determine o so that f(o) = 0.
2, 61
Let j(y) be the first derivative of y**4/6 + y**3 - 4*y**2 + 4*y + 2. Let r(l) be the first derivative of j(l). Let r(k) = 0. What is k?
-4, 1
Let s = -30 + 53. Factor -3*g + 4*g - s*g + 12 + 8*g**2.
2*(g - 2)*(4*g - 3)
Let z = 12 - 10. Let h be 1*2/(z - 1). Factor 6*r**4 - 4 - 6*r**3 + 6*r + 0*r**4 - 11*r**2 - 4*r**4 + 13*r**h.
2*(r - 2)*(r - 1)**2*(r + 1)
Let z(w) be the third derivative of w**8/112 + w**7/35 - 3*w**6/10 + 7*w**5/10 - 5*w**4/8 + w**2 + 25. Factor z(b).
3*b*(b - 1)**3*(b + 5)
Suppose -2*r - 19*r + 42 = 0. Solve 57*z**2 - 5*z - 117*z**2 + 65*z**r = 0.
0, 1
Let x(g) be the first derivative of -g**5/240 + 3*g**4/32 + 5*g**3/12 - 25*g**2/2 - 10. Let s(k) be the second derivative of x(k). Factor s(w).
-(w - 10)*(w + 1)/4
Let d(n) = n**2 + 6*n - 22. Let p be d(-9). Suppose -4*o = -3 - p. Factor 4*x + 0*x**2 + 67*x**3 - 73*x**3 + x**o + 1.
-(x - 1)*(2*x + 1)*(3*x + 1)
Let c(n) be the first derivative of 14/33*n**3 + 32 + 1/11*n**4 + 7/11*n**2 + 4/11*n. Factor c(q).
2*(q + 1)*(q + 2)*(2*q + 1)/11
Let i = 12 + -10. Let a be (14/6 - i)*6. Factor 3*w + w**a - w - w.
w*(w + 1)
Suppose 2*h = 6*h - p - 6, 0 = -h + p. Let o be h + 27/(-15) + (-65)/(-175). Find n, given that 2/7*n**2 - 6/7*n**3 + o*n + 2/7*n**5 + 0 - 2/7*n**4 = 0.
-1, 0, 1, 2
Let v(o) be the third derivative of 2*o**2 + 2/5*o**3 + 0 - 11/120*o**4 - 1/60*o**5 + 4*o. Factor v(b).
-(b + 3)*(5*b - 4)/5
Let a(c) be the first derivative of 6*c - 31 + 9/2*c**2 + c**3. Let a(v) = 0. Calculate v.
-2, -1
Solve -5*r**5 + 5*r**2 - 6*r - 28549*r**3 - 5*r**4 + 28564*r**3 - 4*r = 0 for r.
-2, -1, 0, 1
Let i = 13 + -13. Let o(x) be the third derivative of 0*x + 0 + 0*x**3 - 1/1050*x**7 + 1/100*x**5 + 1/300*x**6 - 4*x**2 + i*x**4. Determine p so that o(p) = 0.
-1, 0, 3
Suppose -2*m + 2 = 2*p - 6, 0 = -3*m + p + 4. Let i(j) be the second derivative of 1/42*j**4 + 0*j**2 + 0*j**3 + 1/14*j**5 + 0 + 4/105*j**6 + m*j. Factor i(u).
2*u**2*(u + 1)*(4*u + 1)/7
Let h(k) be the third derivative of 1/80*k**5 + 0*k + 0 - 14*k**2 + 1/32*k**4 - 1/4*k**3. Solve h(w) = 0.
-2, 1
Factor 880/3*s**3 + 2/3*s**5 + 0*s - 86/3*s**4 + 0 + 968/3*s**2.
2*s