0)
Let g(v) = v - 1. Let c be g(4). Suppose 10*n**3 - 13*n**c - 6*n**2 + 3*n**2 = 0. Calculate n.
-1, 0
Let j(m) be the third derivative of 8*m**7/165 + 61*m**6/660 - 113*m**5/330 - 4*m**4/33 + 4*m**3/11 - 88*m**2. Determine q, given that j(q) = 0.
-2, -3/8, 2/7, 1
Let i be (-60)/(-350)*((-28)/(-10))/(-2). Let h = -11/150 - i. Suppose -h*o**2 + 1/3*o**3 + 1/6*o**4 + 0 - 1/3*o = 0. Calculate o.
-2, -1, 0, 1
Let c(j) = j**3 + 30*j**2 - 34*j - 12. Let n(r) = -3*r**3 - 60*r**2 + 67*r + 26. Let q(l) = 13*c(l) + 6*n(l). Factor q(a).
-5*a*(a - 4)*(a - 2)
Suppose -3*f + 41 + 220 = 0. Let v = -84 + f. Suppose -3*k**5 - 12/7*k**2 + 6/7*k**4 - v*k + 6*k**3 + 6/7 = 0. What is k?
-1, 2/7, 1
Let b be ((-186)/(-1240))/(2/10). Let k(n) be the first derivative of 3/4*n - 9 + b*n**3 + 15/8*n**2 - 27/16*n**4. Solve k(v) = 0.
-1/3, 1
Let v(q) = 83*q + 583. Let z be v(-7). Factor 10/11*g + 2/11*g**z + 8/11.
2*(g + 1)*(g + 4)/11
Let v be ((8 - 6) + -1)/(5/3543). Let q = 711 - v. Factor -2/5 + 3/5*g + 7/5*g**3 + q*g**2.
(g + 1)**2*(7*g - 2)/5
Factor 865/3*a**2 + 73*a**3 + 1/3*a**5 + 108 - 11*a**4 + 312*a.
(a - 18)**2*(a + 1)**3/3
Let z be ((-2)/12*4)/(12/(-18)). Suppose p = 3*b - 1, -4*b - p = -b + z. Factor b + 5/4*g**2 - 1/2*g + 3/4*g**3.
g*(g + 2)*(3*g - 1)/4
Let p be 0/(-2)*(13/(-1) - (276 - 290)). Determine r so that p - 2/13*r**4 + 14/13*r**2 + 4/13*r**3 + 8/13*r = 0.
-1, 0, 4
What is s in 2/17*s**2 + 140/17*s + 138/17 = 0?
-69, -1
Factor 14/3*j - 1/3*j**2 - 13/3.
-(j - 13)*(j - 1)/3
Let x be 0/26 + (3 - 0) + 0. Factor 4/7*z**x + 24/7*z**2 + 0 + 36/7*z.
4*z*(z + 3)**2/7
Let k(m) be the second derivative of m**9/12096 - m**8/6720 - m**7/672 - m**6/480 + 19*m**3/6 - 3*m + 2. Let v(b) be the second derivative of k(b). Factor v(y).
y**2*(y - 3)*(y + 1)**2/4
Suppose -7*x + 6*x = 22. Let f = x - -32. Determine r, given that f*r**2 - 4*r - 13 - 8*r**3 + 13 + 2*r**4 = 0.
0, 1, 2
Let w(r) be the second derivative of 3*r**5/140 - r**4/14 - 11*r**3/14 + 18*r**2/7 - 26*r. Determine h, given that w(h) = 0.
-3, 1, 4
Let m(w) = 2*w**4 + 2*w - 1. Let u(j) = 4*j**5 - 30*j**4 + 40*j**3 - 40*j**2 + 10*j + 1. Let n(k) = 5*m(k) + u(k). Solve n(f) = 0 for f.
1
Factor -104/3*m**3 - 1200 - 1040*m - 916/3*m**2 - 4/3*m**4.
-4*(m + 3)**2*(m + 10)**2/3
Let n(a) be the third derivative of a**7/18 - 5*a**6/72 - a**5/18 + 2*a**2 + 5. Suppose n(j) = 0. Calculate j.
-2/7, 0, 1
Let m be (-63)/35*2*10. Let u be -2*m/(-15) + 5. Find d such that -1/5 + 3/5*d**3 - 3/5*d + u*d**2 = 0.
-1, -1/3, 1
Let h(w) = 8*w**4 + 32*w**3 + 102*w**2 - 790*w - 3424. Let s(u) = u**4 + 3*u**2 - u + 1. Let g(m) = h(m) - 6*s(m). Suppose g(n) = 0. What is n?
-7, 5
Let d(s) be the first derivative of -s**4/4 + 6*s**3 - 81*s**2/2 + 108*s + 34. Factor d(i).
-(i - 12)*(i - 3)**2
Let c(v) = 3*v**2 - 51*v + 39. Let d(j) = 2*j**2 + 8*j + 15. Let n be d(-3). Let i(a) = -a**2 + 13*a - 10. Let w(p) = n*i(p) + 2*c(p). Solve w(x) = 0.
1, 4
Let -2/5*v**2 - 44/5*v - 242/5 = 0. What is v?
-11
Let h(r) be the first derivative of 81*r + 35 + 1/3*r**3 + 9*r**2. Factor h(j).
(j + 9)**2
Let b(o) be the third derivative of -o**5/15 - 55*o**4/3 - 6050*o**3/3 + 50*o**2. Factor b(m).
-4*(m + 55)**2
Suppose 2*d - 43 = -4*c - 3*d, 5*d = -5*c + 55. Suppose 4*l = -0 + c. Factor 5*p**l - 10*p**3 + 6*p**3 - 2*p**2.
p**2*(p - 2)
Let s(f) = -2*f + 1. Let q(x) = x. Let o(n) = q(n) + s(n). Let k(j) = -j**2 + 1. Let u(i) = -k(i) - 3*o(i). Factor u(p).
(p - 1)*(p + 4)
Let k(s) be the second derivative of 0*s**2 + 1/4*s**4 + 0 - 10*s + 0*s**3. Find x such that k(x) = 0.
0
Let s(f) be the third derivative of -f**7/70 + f**6/20 + 7*f**5/20 - 5*f**4/2 + 6*f**3 - 12*f**2 + 9*f. Factor s(z).
-3*(z - 2)**2*(z - 1)*(z + 3)
Let p be ((-12)/210)/(7/((-560)/8)). Factor 12/7*h - p*h**2 - 8/7.
-4*(h - 2)*(h - 1)/7
Let h(t) = -3*t**2 - 85*t. Let s(x) = 9*x**2 + 257*x. Let m(d) = 7*h(d) + 2*s(d). Suppose m(n) = 0. Calculate n.
-27, 0
Let z(u) be the third derivative of -1/160*u**6 + 0 + 0*u - 1/12*u**3 + 1/840*u**7 + 22*u**2 + 1/240*u**5 + 1/32*u**4. Factor z(r).
(r - 2)*(r - 1)**2*(r + 1)/4
Suppose 8*c - 6*c = -4. Let d be 2 + -3 - 87*c. Find b, given that 3*b**2 + 8 - 104*b + 162*b**2 + d*b**2 = 0.
2/13
Let m(h) be the second derivative of h**6/200 + h**5/100 - h**4/20 + 7*h**2/2 - 13*h. Let t(u) be the first derivative of m(u). Find s, given that t(s) = 0.
-2, 0, 1
Let q(i) = i + 2. Let g be q(-2). Let z(o) be the second derivative of 0 - 1/36*o**4 + g*o**3 + 0*o**2 - 4*o. Factor z(c).
-c**2/3
Suppose -24*j + 2796 = -36*j. Let i = j + 238. Let -14/3*r**3 - 8/3 + 16/3*r**2 + 16/3*r - 7/6*r**4 + 5/6*r**i = 0. What is r?
-2, -1, 2/5, 2
Suppose x - 8 = 3*k, 7 = 5*x + 4*k + 5. Let b(s) be the first derivative of -81/5*s**x - 3/2*s**4 + 81/5*s + 3/25*s**5 - 3 + 36/5*s**3. What is p in b(p) = 0?
1, 3
Suppose 0 - 2/7*i**2 + 2/7*i = 0. What is i?
0, 1
Let r(b) be the third derivative of -6*b**6/25 - 62*b**5/75 - 43*b**4/40 - 3*b**3/5 + 2*b**2 + 68*b. Determine s so that r(s) = 0.
-3/4, -2/9
Let g(i) be the second derivative of 7*i**6/6 + 107*i**5/4 + 785*i**4/4 + 2345*i**3/6 + 245*i**2 + 16*i - 2. Factor g(b).
5*(b + 1)*(b + 7)**2*(7*b + 2)
Suppose -3*v + 3*g + 9 = 0, 24*g - 3 = 4*v + 23*g. Let l be (-6)/(-16)*(-3 - v)*-2. Suppose 15/4*i**3 + 3/2*i**2 + 3*i**4 + 0 + l*i**5 + 0*i = 0. Calculate i.
-2, -1, 0
Let v = -2 - 0. Let z be v + (-2)/(-4) + 19/10. What is h in 0 - z*h**2 + 2/5*h = 0?
0, 1
Let o = 4149/4 + -1035. What is m in 11/4*m - o*m**2 - 1/2 = 0?
2/9, 1
Let j(i) = 4*i**2 - 787*i + 3. Let n(o) = 3*o**2 + o + 1. Let z(v) = -j(v) + 3*n(v). Factor z(q).
5*q*(q + 158)
Let t be 6*3*(-4)/(-24). Factor -2*y**3 - 4*y**2 - 8*y + 9*y**3 - t*y**3 + 8*y**2.
4*y*(y - 1)*(y + 2)
Let l(o) be the third derivative of o**7/490 - o**6/140 - 3*o**5/140 + o**2 + 19*o. What is s in l(s) = 0?
-1, 0, 3
Let h be ((-7)/42)/(35/42*-1). Factor -2/5 - 1/5*c**3 + h*c + 2/5*c**2.
-(c - 2)*(c - 1)*(c + 1)/5
Let g be 1/(-2) + (6/30 - 33/(-10)). Factor 2/5*t + 2/5*t**4 - 2/5*t**2 - 2/5*t**g + 0.
2*t*(t - 1)**2*(t + 1)/5
Suppose 3*d = -i + 16, 2*i + 13 = d + 2*d. Let j(g) = -2*g**2 - 12*g - 13. Let p(k) = k**2 + k - 1. Let s(u) = i*j(u) - 3*p(u). Suppose s(h) = 0. Calculate h.
-2, -1
Determine r so that 7/2*r**4 + 3 - 11/2*r - 33/2*r**2 - 9/2*r**3 = 0.
-1, 2/7, 3
Let n = -19736 - -19739. What is p in -12/5*p**3 - n*p**2 - 6/5*p + 0 - 3/5*p**4 = 0?
-2, -1, 0
Let n(x) be the third derivative of 31*x**2 + 0*x - 7/12*x**4 + 1/60*x**6 + 2*x**3 + 0*x**5 + 0. Factor n(b).
2*(b - 2)*(b - 1)*(b + 3)
Suppose 0 = -7*q + 80 - 395. Let c be (-26)/(-36) - (-1 + (-55)/q). Factor -c*t + 0 - t**2 - 1/2*t**3.
-t*(t + 1)**2/2
Let c(k) be the first derivative of 1/9*k**3 + 2*k**2 - 17 + 12*k. Solve c(z) = 0 for z.
-6
Let r(p) be the second derivative of p**7/147 + 2*p**6/35 + 4*p**5/35 - p**4/7 - 3*p**3/7 - 255*p. Let r(v) = 0. Calculate v.
-3, -1, 0, 1
Let 2*i + 0 + 1/5*i**3 + 11/5*i**2 = 0. What is i?
-10, -1, 0
Let 0 - 4*s**4 + 0*s + 4*s**2 + 2/7*s**3 - 2/7*s**5 = 0. What is s?
-14, -1, 0, 1
Let k(v) be the second derivative of 1/21*v**4 + 162/7*v**2 - 12/7*v**3 - 30*v + 0. Factor k(s).
4*(s - 9)**2/7
Let a(q) be the third derivative of -q**6/1020 + q**4/204 + 76*q**2. What is f in a(f) = 0?
-1, 0, 1
Let n(i) be the first derivative of i**4/12 + 23*i**3/9 + 11*i**2/3 - 26. Factor n(a).
a*(a + 1)*(a + 22)/3
Let b = 68 - 63. Factor 11*s - 23*s + 5 + 4*s**2 - b.
4*s*(s - 3)
Determine n, given that -100467/8 - 3/8*n**2 + 549/4*n = 0.
183
Suppose 4*d = b - 10, 2*b + 33*d + 6 = 28*d. Factor -72/17 - 2/17*h**b - 24/17*h.
-2*(h + 6)**2/17
Let z(s) = 10*s**2 - 5*s. Let x(b) = -b**2 - b - 1. Suppose 7*m + 14 = 119. Let u(r) = m*x(r) + z(r). Suppose u(k) = 0. Calculate k.
-3, -1
Let s(r) = -4*r**5 + 64*r**4 - 71*r**3 + 22*r**2. Let p(l) = -l**5 + 13*l**4 - 14*l**3 + 4*l**2. Let i(n) = 11*p(n) - 2*s(n). What is k in i(k) = 0?
0, 1, 4
Let o be ((-33)/495)/(4/6590). Let c = 110 + o. Let 2/3 + c*j**2 - 2/3*j = 0. What is j?
2
Let j(n) = -4*n**4 - 20*n**3 + 12*n**2 + 2*n - 8. Let b(a) = -a**4 - 2*a**3 + a**2 - a. Let k(o) = -6*b(o) + j(o). Suppose k(i) = 0. What is i?
-1, 1, 2
Suppose 3 - 10*s**3 - 5*s**2 + 2*s**4 + 17/2*s + 3/2*s**5 = 0. What is s?
-3, -1, -1/3, 1, 2
Let k(f) be the second derivative of -5*f + 0 + 1/30*f**3 +