t d(r) = x*h(r) + 5*c(r). Find n such that d(n) = 0.
-2, 0
Let d be (-1)/(-4 - (-6)/2). Let g be (-3*d)/(24/(-16)). Factor -2*o**5 - o - 4*o**4 - 2*o**4 - 6*o**3 + o - g*o**2.
-2*o**2*(o + 1)**3
Suppose 13/7*g**3 + 8/7*g**2 - 6/7 - g + 4/7*g**4 = 0. What is g?
-2, -1, 3/4
Suppose w - 3 = -3*r, 4*w + 3*r = 2*w. Let d be (-14)/w - (3 - 7). Let -2/3*l + d*l**3 + 10/3*l**4 + 6*l**2 - 4/3 = 0. Calculate l.
-1, 2/5
Let z(j) = 11*j**2 + 232*j - 13456. Let s(h) = -3*h**2. Let n(r) = 20*s(r) + 5*z(r). Factor n(x).
-5*(x - 116)**2
Let u(z) be the second derivative of 1/5*z**5 + 1/3*z**4 + 0 - 2*z**2 - 2/3*z**3 + 11*z. Factor u(n).
4*(n - 1)*(n + 1)**2
Let o = -4/5 + 6/5. Let v = 47/70 - 1/14. Suppose 4/5*y**5 + 0*y - o*y**2 + 0 - 9/5*y**3 - v*y**4 = 0. What is y?
-1, -1/4, 0, 2
Let f be (-26)/585*335 - -18. What is o in 8/9*o + f*o**3 - 4*o**2 + 0 = 0?
0, 2/7, 1
Factor 11*z + 3*z**2 - 224 + 254 + 10*z.
3*(z + 2)*(z + 5)
Let t(x) = 8*x**3 + 24*x**2 + 26*x. Let w(h) = 4*h**3 + 12*h**2 + 12*h. Let k(g) = -2*t(g) + 5*w(g). Factor k(s).
4*s*(s + 1)*(s + 2)
What is k in 4/17*k**2 - 6/17 - 8/17*k + 8/17*k**3 + 2/17*k**4 = 0?
-3, -1, 1
Let r(l) = -l**3 + l**2 - 6*l + 2. Let f(s) = -s**2 - 1. Let i(y) = 4*f(y) - r(y). Let n be i(4). Suppose 4*p**3 - p + 2*p**n + 5*p - 10*p**2 = 0. Calculate p.
0, 1
Let n(y) be the first derivative of -256*y**5/5 - 48*y**4 - 16*y**3 - 2*y**2 - 46. Suppose n(w) = 0. What is w?
-1/4, 0
Suppose b - 5*g + 2 = -3, 0 = -3*b + 4*g + 7. Let a(o) = -o**3 - 9*o**2 - 4*o + 9. Let v(r) = 4*r**2 + 2*r - 4. Let h(s) = b*v(s) + 2*a(s). Factor h(d).
-2*(d - 1)**2*(d + 1)
Suppose 8 = -3*x + 14. Factor 0*m + 5*m + 8 + 8*m**x - m - 12*m**2.
-4*(m - 2)*(m + 1)
Let r be 0/(-7 + 6 + 3). Let g(j) be the second derivative of -3*j + 0 - 1/30*j**6 + 1/12*j**3 + 1/12*j**4 + r*j**2 - 1/84*j**7 + 0*j**5. Factor g(l).
-l*(l - 1)*(l + 1)**3/2
Let w(o) be the first derivative of o**4/36 - o**3/27 - 446. Factor w(v).
v**2*(v - 1)/9
Let h(k) be the third derivative of -k**6/360 + 11*k**5/90 - 184*k**2. Factor h(q).
-q**2*(q - 22)/3
Let f = 40883/2 + -20441. Determine o, given that 0*o - 2*o**3 + f*o**5 + 0 - 2*o**2 + 1/2*o**4 = 0.
-2, -1, 0, 2
Suppose -5*s = g + 17, -44 = -5*g + 3*s + 11. Let j be ((0/3)/3)/(g - 5). Factor -12/5 - 3/5*q**3 + 9/5*q**2 + j*q.
-3*(q - 2)**2*(q + 1)/5
Suppose 5*m - 3*m + 2*m = 0. Suppose m = n - 17 + 17. Suppose 2/7*u + 2/7*u**2 + n = 0. What is u?
-1, 0
Let z(p) be the third derivative of 361*p**8/84 + 114*p**7/7 + 37*p**6/15 - 116*p**5/5 + 12*p**4 - 317*p**2. Find g, given that z(g) = 0.
-2, -1, 0, 6/19
Determine r so that -159/2*r**2 - 51/2*r**3 - 30 + 3/2*r**4 - 84*r + 3/2*r**5 = 0.
-2, -1, 5
Suppose x - 3*q = -6*q - 6, -3*x - 70 = -4*q. Let c be (-32)/x + 4/18. Determine p so that 0 - 2/3*p**c - 4/3*p = 0.
-2, 0
Suppose 22 = 8*q - 19*q. Let b be (q/(-6)*1)/(28/72). Find z, given that b*z - 2/7 - 6/7*z**2 + 2/7*z**3 = 0.
1
Factor 9/8*t**2 + 0 - 3/8*t**5 - 21/8*t**3 + 0*t + 15/8*t**4.
-3*t**2*(t - 3)*(t - 1)**2/8
Find v such that -2/13*v**4 + 36/13*v**2 + 0*v + 34/13*v**3 + 0 = 0.
-1, 0, 18
Let r(y) = -y**2 + y - 2. Let p be 6/(-4)*(-56)/(-6). Let g(n) = -3*n - 34. Let q be g(-12). Let w(j) = j + 1. Let z(d) = p*w(d) + q*r(d). Factor z(o).
-2*(o + 3)**2
Let a(l) be the first derivative of -l**4/4 - l**3/3 + 6*l**2 - 257. Factor a(w).
-w*(w - 3)*(w + 4)
Suppose -4*i - 2 = 14. Let o(k) = 14*k**3 - 56*k**2 + 22*k + 8. Let r(g) = -g**2 - g - 1. Let x(t) = i*r(t) + o(t). Factor x(f).
2*(f - 3)*(f - 1)*(7*f + 2)
Factor 1/4*d**2 + 1/2 + 3/4*d.
(d + 1)*(d + 2)/4
Let j(t) be the second derivative of -t**4/18 - 47*t**3/9 + 81*t - 1. Factor j(m).
-2*m*(m + 47)/3
Let b = 9 - 9. Factor -3*v**3 + b*v**3 - 21*v + 24*v.
-3*v*(v - 1)*(v + 1)
Let f = -2/20201 + 565646/181809. What is t in 22/9*t**2 - 5/9*t**3 - f*t + 8/9 = 0?
2/5, 2
Let i(x) be the second derivative of x**7/189 - 8*x**6/135 + 5*x**5/18 - 19*x**4/27 + 28*x**3/27 - 8*x**2/9 - 42*x. Solve i(j) = 0.
1, 2
Suppose -30*x = -21 - 159. Let h(a) be the second derivative of 0*a**2 + 0*a**3 + 0*a**4 + 1/30*a**x - 2*a + 1/20*a**5 + 0. Find n such that h(n) = 0.
-1, 0
Let g(j) = 5*j**2 - 45*j + 10. Let r(x) = 2*x. Let z(w) = -g(w) - 30*r(w). Suppose z(u) = 0. Calculate u.
-2, -1
Find s, given that -46*s**2 - 12*s + 20*s**3 - 18*s + 71*s**2 = 0.
-2, 0, 3/4
Let f(r) = -r**3 - 6*r**2 - 6*r - 3. Let g be f(-5). Suppose -g*b + b = -2. Suppose -a**3 - a + a**b + 2*a - 34*a**4 + 33*a**4 = 0. Calculate a.
-1, 0, 1
Let x(o) = o**2 + 1. Let k be x(-1). Solve 21 - 11*d + 14*d**2 + 39*d - 10*d**k + 19 = 0 for d.
-5, -2
Let n be 0 - (1 + -13 + 0). Suppose 3*u = -u + n. Factor 2*j**5 - u*j**2 - j**5 - j**3 + j**2 + j**2 + j**4.
j**2*(j - 1)*(j + 1)**2
Let z(n) be the first derivative of n**6/360 - n**5/60 + n**4/24 - 8*n**3 + 29. Let i(s) be the third derivative of z(s). Factor i(g).
(g - 1)**2
Let b = 45 + -41. Factor 3482*m - 3629 - 738*m - 259 + 56*m**3 - 914 - 588*m**2 - 2*m**b.
-2*(m - 7)**4
Let o(l) be the third derivative of 11*l**6/840 - 9*l**5/280 - l**4/28 + 17*l**3/3 + 24*l**2. Let f(d) be the first derivative of o(d). Solve f(p) = 0 for p.
-2/11, 1
Let p = -1/9602 - -19209/48010. Solve 2*i**4 + p*i**3 + 0*i + 0*i**2 + 0 = 0.
-1/5, 0
Let f = 60844/17 - 3578. Factor -f*n - 10/17*n**2 + 4/17.
-2*(n + 2)*(5*n - 1)/17
Let o(h) = 135*h**2 - 80. Let q(y) = 5*y**2 - 3. Let x(d) = 2*o(d) - 55*q(d). Factor x(c).
-5*(c - 1)*(c + 1)
Factor -17/6*p**2 - 1/6*p**3 + 10/3*p + 6.
-(p - 2)*(p + 1)*(p + 18)/6
Let i = 549 + -3840/7. Suppose i*y**2 - 3/7 + 0*y = 0. What is y?
-1, 1
Factor -174 + 54*l**2 - 126*l**2 + 69*l**2 - 177*l.
-3*(l + 1)*(l + 58)
Suppose 20*g - 72*g + 208 = 0. Factor -14/3*j - g*j**2 - 2/3.
-2*(j + 1)*(6*j + 1)/3
Let n(q) = 2*q**4 - 3*q**3 - 12*q**2 + 13*q - 12. Let h(k) = 6*k**4 - 10*k**3 - 36*k**2 + 38*k - 38. Let b(x) = -3*h(x) + 10*n(x). Find f such that b(f) = 0.
-3, 1
Let x(g) be the third derivative of 1/12*g**4 + 1/420*g**7 + 0 + 1/15*g**5 + 1/48*g**6 + 0*g + 0*g**3 - 14*g**2. Solve x(q) = 0 for q.
-2, -1, 0
Let k = -5071703 - -1977965549/390. Let o = k - -5/78. Let -o*l - 4/5 - 28/5*l**3 - 12/5*l**4 - 2/5*l**5 - 32/5*l**2 = 0. What is l?
-2, -1
Let c be 7/(-3)*13/(26/24). Let m be c/(-6) + -4 + 0. Factor -4*v + 6 + m*v**2.
2*(v - 3)**2/3
Let o(p) be the second derivative of -2/3*p**2 + 2/45*p**6 + 0*p**4 - 2/15*p**5 + 0 + 4*p + 4/9*p**3. Factor o(k).
4*(k - 1)**3*(k + 1)/3
Suppose 18*f = 13*f + 10. Suppose 3 + d**4 - 4*d**2 + 29*d**3 + f*d - 64*d**3 + 33*d**3 = 0. Calculate d.
-1, 1, 3
Let t = -44 + 96. Let r be 3/(-28) - (-13)/t. Solve 1/7*d**2 + r*d**3 + 0 - 2/7*d = 0.
-2, 0, 1
Factor 17*z - 22*z**2 - 13*z**2 - 5*z - 2*z + 5*z**5 + 229*z**3 - 25*z**4 - 184*z**3.
5*z*(z - 2)*(z - 1)**3
Let i be -9 + 19/((-760)/(-376)). Factor -i + 8/15*q - 2/15*q**2.
-2*(q - 3)*(q - 1)/15
Let c(r) be the second derivative of -15*r - 1/39*r**3 + 0*r**2 - 1/78*r**4 + 0. Factor c(h).
-2*h*(h + 1)/13
Let q(y) be the third derivative of -32/9*y**3 + 0 - 2/3*y**4 - 47*y**2 - 1/360*y**6 + 0*y + 1/12*y**5. What is k in q(k) = 0?
-1, 8
Let r(q) be the second derivative of q**5/130 + q**4/39 - q**3/39 - 2*q**2/13 + 3*q + 67. Factor r(f).
2*(f - 1)*(f + 1)*(f + 2)/13
Determine o so that -47*o**3 + 52*o + 10*o**4 - 2*o**5 + o**4 + 21*o**4 - o**3 - 8*o**2 - 2*o**5 - 24 = 0.
-1, 1, 6
Let n(d) be the second derivative of d**5/4 + 55*d**4/12 + 20*d**3/3 - 50*d**2 - 7*d. Factor n(m).
5*(m - 1)*(m + 2)*(m + 10)
Factor 0 + 2/3*m**2 + 20/3*m.
2*m*(m + 10)/3
Let b(g) be the third derivative of g**7/630 + g**6/60 + g**5/15 + 7*g**4/24 - 2*g**2. Let u(k) be the second derivative of b(k). Let u(w) = 0. What is w?
-2, -1
Let b(n) = 3*n**3 - 117*n**2 - n + 41. Let r be b(39). Let 3*t + 3/4*t**r + 9/4 = 0. Calculate t.
-3, -1
Suppose -3*b + 2*b + 3 = 0. Let c be b/(-18) + (-21)/(-54). Factor 0*l**2 - c*l**3 + 0 + 2/9*l.
-2*l*(l - 1)*(l + 1)/9
Factor 4/3*b**2 + 4/3*b + 0.
4*b*(b + 1)/3
Suppose 17*i - 3*i = 56. Let w = -11 + 11. Solve -o**i + 0*o**2 + 0 - 1/2*o**3 + w*o - 1/2*o**5 = 0 for o.
-1, 0
Let l(q) be the second derivative of -q**4/12 + 22*q**3/3 + 3*q - 10. Solve l(a) = 0.
0, 44
Let x(u) = -u**2 + 8*u - 16. Let w(o) = -4*o + 8. Let f = 36 - 27. Let m(v) = f*w(v) + 4*x(v). Suppose m(n) = 0. Calculate n.
-2, 1
Determin