q) be the second derivative of -q**6/105 + q**5/10 + q**4/42 - q**3/3 - 70*q. Factor m(u).
-2*u*(u - 7)*(u - 1)*(u + 1)/7
Suppose 3*g = -3, -10*o + 7*o + 61 = -4*g. Let y = -49/4 + o. Find m such that -y*m**4 + 21/4*m**5 + 27/4*m**2 + 0 - 15/4*m**3 - 3/2*m = 0.
-1, 0, 2/7, 1
Suppose 3427*c - 3422*c = 15. Let y(x) be the first derivative of -3 + 2/11*x**2 + 0*x - 2/33*x**c - 1/22*x**4. Let y(u) = 0. What is u?
-2, 0, 1
Suppose -7*o**4 + 8*o**2 + o**4 - 20*o**3 - 14*o**2 - 12*o + 34*o**2 + 10*o**4 = 0. Calculate o.
0, 1, 3
Let x(g) be the second derivative of -g**5/20 + g**4/3 - 2*g + 24. Factor x(l).
-l**2*(l - 4)
Let d(u) be the second derivative of -u**7/525 + u**5/50 + u**4/30 + 4*u**2 - 20*u. Let y(k) be the first derivative of d(k). Let y(z) = 0. Calculate z.
-1, 0, 2
Let x = -11366/5 - -11367/5. Factor 0 + 0*v + x*v**2.
v**2/5
Find s, given that -1/4*s**2 + 0 + 5/2*s = 0.
0, 10
Suppose 381*n = 387*n. Let t(y) be the second derivative of n*y**3 + 0*y**2 - 1/50*y**5 - 1/75*y**6 + 1/15*y**4 + 0 - 6*y. Factor t(g).
-2*g**2*(g - 1)*(g + 2)/5
Find c, given that -6/11*c**3 + 2/11*c**4 + 6/11*c**2 + 0 - 2/11*c = 0.
0, 1
Let d(i) be the second derivative of -i**4/4 - 54*i**3 - 4374*i**2 + 100*i. Factor d(q).
-3*(q + 54)**2
Let i be 0 + (-2)/8 + 12/48. Solve i + 2/5*h + 7/5*h**2 + h**3 = 0 for h.
-1, -2/5, 0
Let d(p) be the second derivative of -p**4/3 + 20*p**3/3 + 75*p. Factor d(f).
-4*f*(f - 10)
Let s be 144/(-528) + (-10)/(-22). Solve 2/11*f**2 - s + 0*f = 0 for f.
-1, 1
Let u(t) be the second derivative of -2/3*t**3 + 4/3*t**2 - 1/15*t**6 + 1/126*t**7 + 0 + 7*t + 11/60*t**5 - 1/18*t**4. Let u(h) = 0. What is h?
-1, 1, 2
Let w(y) be the third derivative of -y**8/112 + 19*y**7/35 - 361*y**6/40 - 97*y**2. Factor w(h).
-3*h**3*(h - 19)**2
Let a(j) = -17*j**2 + 79*j - 4. Let l(t) = -20*t**2 + 80*t - 5. Let v(r) = 5*a(r) - 4*l(r). Factor v(f).
-5*f*(f - 15)
Let g(d) = 365*d**3 - 535*d**2 - 735*d + 215. Let p(u) = 61*u**3 - 89*u**2 - 122*u + 36. Let y(w) = -4*g(w) + 25*p(w). Factor y(l).
5*(l - 2)*(l + 1)*(13*l - 4)
Let w(t) be the third derivative of 0*t + 0 + 1/168*t**8 + 0*t**6 + 0*t**4 + 0*t**5 - 2/525*t**7 - 10*t**2 + 0*t**3. Find y such that w(y) = 0.
0, 2/5
Determine s, given that -104/3*s**3 - 80/3*s**2 + 608*s + 4*s**4 - 384 = 0.
-4, 2/3, 6
Let i(c) be the second derivative of c**6/10 + 6*c**5/5 + 2*c + 89. Factor i(l).
3*l**3*(l + 8)
Let f(b) be the first derivative of b - 1/4*b**4 - 12 - 3/2*b**2 + b**3. What is a in f(a) = 0?
1
Let f = 6620 - 6620. Factor -1/2*m**2 + f*m + 0 + 1/2*m**3.
m**2*(m - 1)/2
Let m(l) be the third derivative of -l**5/20 + 3*l**4/8 - 46*l**2. Solve m(x) = 0 for x.
0, 3
Let l(d) = -9*d**2 - 6. Let v = -18 + 23. Let z(y) = -5 + v*y**2 - 26*y**2 - 5*y**2 - 12. Let u(q) = -17*l(q) + 6*z(q). Solve u(s) = 0 for s.
0
Suppose 5*o + 0*o = 40. Suppose -o = x - 5*x. Find w such that -x*w**5 - 3*w**3 + 2*w**4 + 2*w**4 - w**5 - 10*w**4 = 0.
-1, 0
Let q(n) be the second derivative of n**5/150 - 2*n**4/45 - 7*n**3/15 - 19*n - 4. Let q(d) = 0. Calculate d.
-3, 0, 7
Let i(k) be the first derivative of k**7/49 + 8*k**6/105 + k**5/10 + k**4/21 - 2*k - 10. Let o(g) be the first derivative of i(g). Solve o(h) = 0.
-1, -2/3, 0
Let z(p) = -11*p**5 + 4*p**4 + 6*p**3 + 4*p**2 - 3*p - 4. Let g(w) = -13*w**5 + 5*w**4 + 6*w**3 + 5*w**2 - 3*w - 5. Let m(l) = 4*g(l) - 5*z(l). Factor m(c).
3*c*(c - 1)**2*(c + 1)**2
Let x(s) be the second derivative of s + 1/42*s**4 + 5/21*s**3 + 0 + 4/7*s**2. Suppose x(w) = 0. What is w?
-4, -1
Let y(i) = -16*i**3 + 5*i**2 + 4*i + 4. Let h(n) = -111*n**3 + 36*n**2 + 30*n + 30. Let o(w) = 2*h(w) - 15*y(w). Factor o(k).
3*k**2*(6*k - 1)
Let c(l) = 7*l**3 - 21*l**2 + 26*l + 6. Let b(t) = -2*t**3 + t**2 - t - 1. Let v(j) = -6*b(j) - c(j). Factor v(o).
5*o*(o - 1)*(o + 4)
Let x(j) be the first derivative of -j**5/25 - j**4/5 - j**3/15 + 3*j**2/5 + 96. Factor x(n).
-n*(n - 1)*(n + 2)*(n + 3)/5
Let j(l) be the first derivative of -l**4/6 + 25*l**2/3 - 271. Factor j(x).
-2*x*(x - 5)*(x + 5)/3
Let u(d) = 12*d + 38. Let i be u(-4). Let x = i - -52/5. Factor -1/5*f**2 + x - 1/5*f**4 - 3/5*f + 3/5*f**3.
-(f - 2)*(f - 1)**2*(f + 1)/5
Find g, given that -2/3*g**5 + 0 + 0*g + 2/3*g**4 + 4/3*g**3 + 0*g**2 = 0.
-1, 0, 2
Let o = 144/29 + -343/145. Find c, given that 8/5*c**2 + 2/5 + 8/5*c**4 - o*c - 16/5*c**5 + 47/5*c**3 = 0.
-1, 1/4, 2
Let u = -379 - -383. Let t(r) be the first derivative of 8/3*r**3 + 8/5*r**5 - 1/3*r**6 + 1 + 0*r - r**2 - 3*r**u. Factor t(j).
-2*j*(j - 1)**4
Find g such that -5*g**4 + 31*g - 42*g + 20*g**2 - 28*g - 41*g + 20*g**3 = 0.
-2, 0, 2, 4
Let h(v) = v**5 - v**4 + v + 1. Let u(d) = -5*d**5 + 13*d**3 - 12*d**2 - 2*d - 6. Let o(t) = -30*h(t) - 5*u(t). Factor o(p).
-5*p*(p - 2)**2*(p - 1)**2
Let x(h) be the third derivative of h**6/72 - 2*h**5/9 + 5*h**4/72 + 35*h**3/3 - 40*h**2. Factor x(y).
5*(y - 7)*(y - 3)*(y + 2)/3
Let q(w) = 12*w**2 + 80*w + 52. Let f be (16 - 15) + 1*2. Let a(j) = -4*j**2 - 27*j - 17. Let d(i) = f*q(i) + 8*a(i). Suppose d(o) = 0. What is o?
-5, -1
Let w(z) be the first derivative of 0*z + 0*z**2 - 1/16*z**4 - 5/12*z**3 - 16. Find s such that w(s) = 0.
-5, 0
Let b be (-4 - (-13)/2)*28/(-315)*-12. Let -1/3*w**2 + b*w - 16/3 = 0. What is w?
4
Let d(p) = -2*p**3 - p + 2. Let l be d(-2). Suppose 3*s - l = -5*i, 20 = 5*i + 2*s - s. Determine z, given that -15*z**4 - 9*z**i + 16*z**4 + 4*z**5 = 0.
0, 2
Let z = -7953 - -23860/3. Solve -1/3*k**2 + z*k + 0 = 0 for k.
0, 1
Let v = -41 + 61. Determine u so that 20*u**2 - 43*u**2 - 4*u + v*u**2 + 4 = 0.
-2, 2/3
Let o(f) be the third derivative of -5*f**8/84 - 2*f**7/15 + 13*f**6/30 + 11*f**5/15 - 4*f**4/3 - 8*f**3/3 - 60*f**2. Solve o(a) = 0.
-2, -1, -2/5, 1
Let n(k) be the first derivative of k**4/4 - 7*k**3/2 + 9*k**2 - 18*k + 38. Let c(v) be the first derivative of n(v). Determine r, given that c(r) = 0.
1, 6
Factor 0 + 20/11*l - 2/11*l**2.
-2*l*(l - 10)/11
Let g be 13/52 - (308/(-16))/11. What is o in -8/11*o**g + 4/11 + 2/11*o - 6/11*o**3 = 0?
-1, 2/3
Let o(j) be the second derivative of 8/9*j**3 - 11*j - 32/3*j**2 - 1/36*j**4 + 0. Factor o(m).
-(m - 8)**2/3
Factor 2/3*i**2 - 10 - 4/3*i.
2*(i - 5)*(i + 3)/3
Let d be (-2)/(-6)*0 + 2. Factor 13*r**d - 3*r**4 - 4*r**3 - r**4 - 9*r**2 + 4*r**5.
4*r**2*(r - 1)**2*(r + 1)
Let c(k) be the first derivative of -k**3/3 + k**2/2 + 6*k - 12. Let t(p) = -10*p**2 + 10*p + 65. Let z(s) = -45*c(s) + 4*t(s). What is x in z(x) = 0?
-1, 2
Let p(x) = -3*x**2 - 2. Let a(o) = 4*o**2 - o + 3. Suppose 4*h + 1 = 17. Suppose 0 = 4*q - h + 12. Let r(n) = q*a(n) - 3*p(n). Find b such that r(b) = 0.
-2, 0
Let q be (48/(-56))/((-4)/168). Suppose q = 37*m - 28*m. Suppose -1/2*i**m - 1/4*i**3 + 0*i**2 + 0 + 0*i - 1/4*i**5 = 0. What is i?
-1, 0
Suppose -18*y**2 + 16/3*y + 38/3*y**3 - 8/3*y**4 + 8/3 = 0. What is y?
-1/4, 1, 2
Let r = -9/2 - -5. Let i be 207/63 + (-2)/7 - 1. Suppose -3/2 - 1/2*j**3 - r*j**i + 5/2*j = 0. What is j?
-3, 1
Let s be 12*(10/65 - ((-896)/(-1170))/7). Solve 2/5*w - 2/15 + s*w**2 = 0.
-1, 1/4
Let k(h) be the second derivative of h**7/8400 - h**6/3600 + 13*h**3/2 - 43*h. Let x(n) be the second derivative of k(n). Solve x(y) = 0.
0, 1
Let h = -2 - 22. Let j = 28 + h. Solve -6*o**3 + 6*o**5 - 4*o**2 + 3*o**3 + 4*o**4 + j*o**5 - 7*o**3 = 0 for o.
-1, -2/5, 0, 1
Let d(l) be the third derivative of 5*l**7/1512 + l**6/48 - l**5/36 - 19*l**4/12 - 14*l**2. Let x(t) be the second derivative of d(t). Factor x(i).
5*(i + 2)*(5*i - 1)/3
Let y(d) = -d**2 - 7*d + 8. Let c(v) = 3*v**2 + 13*v - 16. Suppose -4*m + 0 = -12. Let l(z) = m*c(z) + 5*y(z). Factor l(u).
4*(u - 1)*(u + 2)
Let x be 4/(-18)*-6*(-612)/(-272). Let q(j) be the first derivative of 4/27*j**x - 1/18*j**2 - 15 - 1/12*j**4 + 0*j. Factor q(r).
-r*(r - 1)*(3*r - 1)/9
Solve 320 + 30*v**3 + 300*v**2 - 117*v**3 - 163*v - 38*v**3 + 883*v = 0 for v.
-4/5, 4
Let b = 1829/40 - 337/8. Factor -4*g - 2/5*g**2 - b.
-2*(g + 1)*(g + 9)/5
Let n(o) be the first derivative of 0*o**2 + 3*o**5 + 1/2*o**6 + 0*o + 4*o**3 + 6*o**4 + 6. Suppose n(r) = 0. What is r?
-2, -1, 0
Let j(x) be the second derivative of -x**7/14 - 3*x**6/10 + 3*x**5/4 + 15*x**4/4 - 2*x**3 - 18*x**2 + 512*x. What is s in j(s) = 0?
-3, -2, -1, 1, 2
Let v(j) be the first derivative of j**6/6 - 68*