10*m + 4. Let h(b) = 13*b**2 + 11*b + 3. Let v(s) = -4*h(s) + 3*j(s). Find f, given that v(f) = 0.
0, 7
Factor -2/9*n**4 + 52/9*n**3 + 16/3*n + 0 - 98/9*n**2.
-2*n*(n - 24)*(n - 1)**2/9
Let v(m) = -9*m**3 + 2*m - 2. Let r be v(2). Let q = r - -72. Suppose -2/3*a**3 + 0 + 8/3*a**5 + 0*a - q*a**4 + 0*a**2 = 0. What is a?
-1/4, 0, 1
Let h(d) be the first derivative of -d**4/4 - 27*d**3 - 1599*d**2/2 + 1681*d + 303. Factor h(u).
-(u - 1)*(u + 41)**2
Let n(a) be the first derivative of 14*a**3/39 + 11*a**2/13 + 8*a/13 - 37. Factor n(m).
2*(m + 1)*(7*m + 4)/13
Factor 11/5*n**2 + 1/5*n**3 + 0 - 26/5*n.
n*(n - 2)*(n + 13)/5
Let s(z) = -z**3 + 4*z**2 + 7*z - 3. Let r be s(5). Suppose -5 + r = y. Factor 10*i**2 + 0*i - 13*i**2 - 6 + 6*i**y + 3*i.
3*(i - 1)*(i + 2)
Let m(c) = -23*c - 6. Let g be m(-2). Let j be 24/g*(-5)/(-2). Determine s so that 1/2*s**2 - 1/2*s**4 + j*s**5 - 5/2*s**3 + s + 0 = 0.
-1, -2/3, 0, 1
Let o(h) be the third derivative of -h**9/3024 - h**8/336 - 5*h**7/504 - h**6/72 - 3*h**4/4 + 11*h**2. Let n(s) be the second derivative of o(s). Factor n(z).
-5*z*(z + 1)**2*(z + 2)
Let x = 3989 + -2872079/720. Let u(d) be the third derivative of 0 + 13*d**2 - 1/3*d**3 - x*d**6 + 0*d + 1/18*d**4 + 1/360*d**5. Factor u(a).
-(a - 2)**2*(a + 3)/6
Let h(y) be the first derivative of y - 1 + 0*y**2 - 1/3*y**3. Factor h(i).
-(i - 1)*(i + 1)
Let h = 24 - -2. Suppose -3*y + 5*y = -4*f + 16, -5*f - 4*y + h = 0. Factor o**2 + 2 + o**f - o + 5*o.
2*(o + 1)**2
Let d be 28/42 - 2/(-15). Solve 2/15*f**3 - d*f**2 + 0 + 6/5*f = 0.
0, 3
Let y be (31/(-558))/((-8)/3). Let o(x) be the second derivative of 0*x**2 - y*x**4 + 11*x + 0 - 1/8*x**3. Factor o(n).
-n*(n + 3)/4
Let j = 78 - 84. Let a be 1 - ((-3)/12 + j/8). Factor -2/3*w**3 + 2/3*w**4 + 2/3*w**5 + 0 + 0*w - 2/3*w**a.
2*w**2*(w - 1)*(w + 1)**2/3
Factor -5*q**2 + 21*q + 3*q**2 - q**2 + 2*q**2 - 3*q**2 - 5.
-(q - 5)*(4*q - 1)
Let n = 1007/46032 - 1/959. Let y(t) be the second derivative of 0*t**2 + 0 - n*t**4 + 0*t**3 + 1/80*t**5 + 12*t. Find p such that y(p) = 0.
0, 1
Suppose -9 = -4*c + 5*o, -5*c + 10*c - o - 27 = 0. Let a be c/(2 + 30/12). Find r such that 4/3 - a*r + 1/3*r**2 = 0.
2
Let u = -17 - -20. Suppose -3*m = -t - 9, -3*m + 3*t + 7 + 8 = 0. Factor -f**2 + 6 + 2*f**m - 5*f**2 + u*f + 3*f**4 - 3*f**3 - 5*f**2.
3*(f - 2)*(f - 1)*(f + 1)**2
Let d(i) = -i**2 - 2*i + 5. Let j be d(-3). Suppose 14 = 5*u + p, 5*p - 12 = j*p. Factor -1/8*w**4 + 0*w**u + 0*w + 1/8*w**3 + 0.
-w**3*(w - 1)/8
Find y such that -34/7*y**4 + 136/7*y**2 + 12*y**3 - 24/7*y**5 + 0 + 48/7*y = 0.
-2, -3/4, -2/3, 0, 2
Let c = 897 - 894. Let h(q) be the third derivative of -4*q**2 - 1/40*q**5 + 0*q**4 - 1/56*q**7 + 0 - 7/160*q**6 + 0*q**c + 0*q. Solve h(d) = 0 for d.
-1, -2/5, 0
Let k(v) be the second derivative of -1/4*v**5 + 0 + 11*v - 25/9*v**4 - 25/3*v**2 - 15/2*v**3. Factor k(u).
-5*(u + 1)*(u + 5)*(3*u + 2)/3
Let g(j) be the third derivative of j**5/210 - 43*j**4/21 + 7396*j**3/21 + 29*j**2. Factor g(c).
2*(c - 86)**2/7
Let p(w) be the second derivative of w**4/21 + 2*w**3/21 + 268*w. Let p(g) = 0. What is g?
-1, 0
What is d in -9/8*d**4 + 1/8*d**5 - 5/8 + 13/4*d**3 + 21/8*d - 17/4*d**2 = 0?
1, 5
Let g(y) be the second derivative of -2*y**4/21 - 2*y**3/21 + 2*y**2/7 - 6*y - 27. Factor g(w).
-4*(w + 1)*(2*w - 1)/7
Let m be (1/(-2))/((-5)/150). Suppose 0 = -17*b + 12*b + m. Factor -s - 3*s**2 - 7*s**3 + 15*s**2 - 3*s - 5*s**b + 4*s**4.
4*s*(s - 1)**3
Let x be 6/3 + 672/(-350). Let i = x - -94/75. Suppose 10/3*z**3 + i + 14/3*z + 6*z**2 + 2/3*z**4 = 0. Calculate z.
-2, -1
Let j(n) = -6*n**5 + 4*n**4 + 4*n**3 - n**2 - 5*n. Let t(y) = 5*y**5 - 3*y**4 - 4*y**3 + 4*y. Let r(i) = 4*j(i) + 5*t(i). Find k such that r(k) = 0.
-2, -1, 0, 2
Let l(s) = s**2 - s. Let o be l(-3). Factor -o*x**2 - 9*x**4 + 24*x**3 - 2*x**2 + 6*x**4 - 7*x**2.
-3*x**2*(x - 7)*(x - 1)
Let a be ((-105)/(-28))/(-1 - 57/(-48)). Let t(p) = -p**3 + 1. Let z(f) = 4*f**3 - 2*f**2 - 5. Let g(b) = a*t(b) + 4*z(b). Factor g(d).
-4*d**2*(d + 2)
Suppose -10*y - 5*y + 60 = 0. Let o(v) = v**3 - 2*v**2 - 8*v. Let d be o(y). Suppose 0 + 3/8*i**3 + d*i**2 + 0*i + 3/4*i**4 + 3/8*i**5 = 0. Calculate i.
-1, 0
Find v such that 0 - 3/7*v**3 - 12/7*v + 15/7*v**2 = 0.
0, 1, 4
Let 72 + 2/9*r**2 + 8*r = 0. Calculate r.
-18
Let b = 91 + -87. Let w be ((-110)/(-25) - b)*4/2. Factor w*p - 2/5*p**2 + 0.
-2*p*(p - 2)/5
Let k(f) be the second derivative of -f**9/5040 + 3*f**8/2240 - f**7/280 + f**6/240 + 5*f**4/4 + 22*f. Let m(p) be the third derivative of k(p). Factor m(a).
-3*a*(a - 1)**3
Let b = 64 - 61. What is q in 7*q**4 - 37 - 4*q**b - 19*q**3 + 20*q**2 - 4*q + 37 = 0?
0, 2/7, 1, 2
Find l such that -25*l**5 + 6*l + 43*l**5 - 14*l**5 - 10*l**3 + 4 - 10*l**2 + 6*l**4 = 0.
-2, -1, -1/2, 1
Let i be (6/15)/((-7)/(-5)). Let s be ((-1781)/(-39) + -43)*(-6)/(-8). Find l, given that -i*l**s + 2/7*l + 4/7 = 0.
-1, 2
Factor -3*b**4 - 5*b**3 - 7*b**2 + 72*b - 71*b + 6*b**2.
-b*(b + 1)**2*(3*b - 1)
Let o(n) = 3*n**2 - 3*n + 11. Let a(k) = -4*k**2 + 2*k - 12. Let s(j) = 2*a(j) + 3*o(j). Let b(f) = 2*f - 4. Let q(c) = -5*b(c) - 2*s(c). Factor q(t).
-2*(t - 1)*(t + 1)
Let z(j) be the first derivative of 0*j**3 - j**4 - 6 + 0*j + 0*j**5 + 2/3*j**6 + 0*j**2. Let z(n) = 0. Calculate n.
-1, 0, 1
Suppose -8*k + 6 = -5*k. Determine d so that 20 - 864*d - 72*d**3 - 432*d**k - 10 - 4*d**4 - 10 = 0.
-6, 0
Let c(i) be the second derivative of i**4/42 - 64*i**3/21 + 1024*i**2/7 + 4*i + 4. Factor c(a).
2*(a - 32)**2/7
Suppose -4/9*h**4 + 28/9*h - h**3 - 16/3 + 32/9*h**2 + 1/9*h**5 = 0. What is h?
-2, 1, 3, 4
Let u(h) be the first derivative of h**6/60 + h**5/6 + 3*h**2 - 11. Let n(i) be the second derivative of u(i). Factor n(c).
2*c**2*(c + 5)
Determine n, given that 47/5*n**2 + 3/5*n + 0 = 0.
-3/47, 0
Let l(d) be the third derivative of -d**4/24 + 5*d**3/6 + 2*d**2. Let v be l(3). Factor -b**3 + 0*b**2 + 0*b**3 + 2*b**v - 8*b + 3*b**2 + 4.
-(b - 2)**2*(b - 1)
Let y(o) = o**2 - 3*o - 4. Let m be y(4). Suppose m = -6*h + h. Suppose s**2 - 2 + h + 1 + 0*s**2 = 0. Calculate s.
-1, 1
Let s(a) be the first derivative of -a**6/9 + 8*a**5/15 + 23*a**4/24 - 67*a**3/18 - 119*a**2/12 - 49*a/6 + 222. Factor s(b).
-(b + 1)**3*(2*b - 7)**2/6
Let w be (-10 - 0)/2*(-6)/10. Let r(g) be the third derivative of 0 + 0*g - 1/60*g**5 + 0*g**w - 7*g**2 + 0*g**4 - 1/240*g**6. Factor r(z).
-z**2*(z + 2)/2
Let d(j) be the third derivative of j**8/224 - j**7/105 - j**6/30 + 3*j**5/20 - 11*j**4/48 + j**3/6 + j**2 - 466. Suppose d(n) = 0. What is n?
-2, 1/3, 1
Factor -46*v**2 + 70*v + 60*v**3 - 31*v**2 - 58*v**2 + 5*v**4.
5*v*(v - 1)**2*(v + 14)
Let r(p) be the first derivative of 2*p**5/105 - 2*p**3/21 + 2*p**2/21 - 448. Suppose r(y) = 0. What is y?
-2, 0, 1
Let c(y) be the first derivative of 7/9*y**2 - 6 - 10/27*y**3 + 1/18*y**4 - 2/3*y. Suppose c(n) = 0. What is n?
1, 3
Let h = 93 - 91. Let z be (-4)/(-26) + (-950)/4095*-7. Determine k, given that -z*k - 2/9*k**h - 32/9 = 0.
-4
Let c(x) be the second derivative of x**6/105 + 2*x**5/35 + x**4/14 - 4*x**3/21 - 4*x**2/7 + 10*x - 3. Factor c(t).
2*(t - 1)*(t + 1)*(t + 2)**2/7
Factor -27*y + 1600 + 29*y + 28*y + 130*y + 4*y**2.
4*(y + 20)**2
Suppose -2*h + 3*h + 37 = 5*s, 3*s + 157 = -5*h. Let v be (h/(-10))/((-28)/(-20)). Suppose -v*q**3 - 44/7*q**2 - 4/7 - 26/7*q = 0. Calculate q.
-2, -1/2, -1/4
Let i(z) be the first derivative of -5*z**7/42 + 2*z**6/3 - 3*z**5/2 + 5*z**4/3 - 5*z**3/6 - 10*z + 15. Let m(f) be the first derivative of i(f). Factor m(x).
-5*x*(x - 1)**4
Let g(s) be the third derivative of s**6/24 + 31*s**5/6 + 605*s**4/24 + 50*s**3 - 59*s**2. Determine f, given that g(f) = 0.
-60, -1
Let q(x) be the second derivative of -x**5/60 + x**4/6 - x**3/2 + 2*x**2/3 - 181*x. Factor q(f).
-(f - 4)*(f - 1)**2/3
Let y(h) be the third derivative of h**7/140 + 11*h**6/40 + 121*h**5/40 + 103*h**2 + 2*h. Factor y(g).
3*g**2*(g + 11)**2/2
Let t(p) = -p**3 + 41*p**2 + 4*p - 162. Let g be t(41). Let b = -231/65 - -54/13. Solve 1/5*r + 0 + b*r**g + 1/5*r**4 + 3/5*r**3 = 0 for r.
-1, 0
Let i be ((-171)/(-18) - 4) + 8. Determine t so that -3 + i*t - 6*t**2 = 0.
1/4, 2
Let r = -6363 + 12731/2. Find o, given that -3 + r*o**2 + 13/2*o = 0.
-3, 2/5
Let o(f) = -f**2 - 3*f - 6. Let i(x) = -x. Let b(j) =