 - 8/15*p**6 + 0*p**2 - 1/3*p**4 + 0*p**3 - 4*p. Factor l(n).
-4*n**2*(n - 1)*(4*n - 1)
Let m = 27 - 40. Let c(y) = -8*y + 18. Let j be c(m). What is o in -61*o - 59*o + j*o + 6 - 2*o**3 - 6*o**2 = 0?
-3, -1, 1
Let c = -342171 - -342173. What is h in -1/3*h**c - h + 4/3 = 0?
-4, 1
Let -1/6*d**3 + 21 + 9/2*d - 10/3*d**2 = 0. What is d?
-21, -2, 3
Let g(x) be the second derivative of 41/24*x**3 - 4/3*x**4 + 1/168*x**7 - 2 + 23/40*x**5 - 7/60*x**6 + 2*x - 5/4*x**2. Find i such that g(i) = 0.
1, 10
Let k(i) be the second derivative of -i**6/75 - i**5/25 + 73*i**4/10 + 44*i**3/3 - 2420*i**2 - 21*i - 36. What is w in k(w) = 0?
-11, 10
Let q(o) be the first derivative of -44*o**2 + 94*o**2 + 14*o**4 - 112 - 24*o + 32*o**3 - 9*o**4. Factor q(r).
4*(r + 2)*(r + 3)*(5*r - 1)
Let o be 4 + (3 - 3)/1. Let u(v) = v**3 - v**2 - 6*v + 2. Let q be u(3). Find w, given that -5*w + 7*w**3 + 5*w**q - 29*w**4 + 24*w**o - 2*w**3 = 0.
-1, 0, 1
Factor 56 + 83*l**2 + 96*l - 20 - 20*l - 92 - 4*l**3 - 99*l**2.
-4*(l - 2)*(l - 1)*(l + 7)
Suppose 0 = 15*j + 8 - 98. Factor -6*d**4 - d**4 + 19*d**4 - j*d**4 + 44*d**3 - 10*d**4.
-4*d**3*(d - 11)
Let a(b) = -b + 1. Let f be ((-1400)/210)/((-1)/(-3)*2). Let l(m) = 2*m**2 - 6 - 3*m**2 - 1 + 8*m. Let g(x) = f*a(x) - 2*l(x). Solve g(u) = 0.
1, 2
Factor 2*c + 2/7*c**4 - 2*c**3 + 10/7*c**2 - 12/7.
2*(c - 6)*(c - 1)**2*(c + 1)/7
Let v(w) = 3*w**4 - 69*w**3 + 145*w**2 - 266*w + 181. Let n(a) = -a**4 + 24*a**3 - 48*a**2 + 88*a - 60. Let f(c) = 11*n(c) + 4*v(c). Solve f(l) = 0.
2, 4
Let 2489/4*l**3 + 3591*l + 5563/2*l**2 + 1458 - 26*l**4 + 1/4*l**5 = 0. What is l?
-2, -1, 54
Let x = 0 + 2. Suppose 454*h = -67358 + 68720. Suppose -12*r + 0 - 4/3*r**h - 8*r**x = 0. Calculate r.
-3, 0
Let i = -80 + 76. Let j(l) = l**3 + l**2 - 11*l + 7. Let x be j(i). Factor -10/11*o + 4/11 - 2/11*o**x + 8/11*o**2.
-2*(o - 2)*(o - 1)**2/11
Let r = -276 + 292. Factor -43*x**2 - 5*x**2 + 4*x**3 - 44 + 84*x + r*x**2 - 28.
4*(x - 3)**2*(x - 2)
Let l(u) be the second derivative of u**4/4 - 57*u**3/4 - 87*u**2/4 + 491*u + 3. Factor l(n).
3*(n - 29)*(2*n + 1)/2
Let q(y) = y**2 + 8*y - 5. Let c be q(-9). Suppose -4*g = 2*w - 0*g - c, -21 = -3*w - g. Factor -2*o**3 - 9*o**3 - w + 7*o**3 + 12*o.
-4*(o - 1)**2*(o + 2)
Let k(w) be the second derivative of 11*w**4/12 + 538*w**3/3 - 98*w**2 + 1335*w. Factor k(m).
(m + 98)*(11*m - 2)
Let d(r) = r**3 + 4*r**2 + r + 1. Let k(f) = -24*f**3 - 24*f**2 + 87*f + 67. Let g(v) = -8*d(v) - k(v). Factor g(z).
(z - 3)*(4*z + 5)**2
Let f be 1/((-2)/12*16/(-24)). Suppose 8 = -f*h + 10*h. What is g in h*g**2 - 2*g**3 + 6*g**3 + 4*g**5 - 14*g**4 - 2*g**2 + 0*g**3 = 0?
-1/2, 0, 1, 3
Let k be 12555/270 + (-5 - 29). Find o, given that 45/4 + 5/4*o**2 - k*o = 0.
1, 9
Let g(q) = 6*q**2 + 121*q + 8. Let s be g(-24). Factor -284*n - 116*n + s*n**2 - 276*n**3 - 4*n**5 - 77*n**4 + 133*n**4.
-4*n*(n - 5)**2*(n - 2)**2
Let l(y) be the first derivative of -y**7/1995 + y**6/1140 - y**2 - 18*y - 9. Let g(o) be the second derivative of l(o). Determine q, given that g(q) = 0.
0, 1
Let x(i) = i**2 - i - 1. Let v = -151 + 149. Let s(h) = -10*h + 62. Let d(m) = v*x(m) + s(m). Factor d(r).
-2*(r - 4)*(r + 8)
Determine u, given that 60*u**4 - 432 + 319*u**3 + 319*u**2 - 11*u**2 - 22*u**3 + 4*u**5 - 192*u - 45*u**3 = 0.
-9, -3, -2, 1
Let q be 76 + -68 - (7 - 2). Let j be (q/8)/(15/80). Let s + 3/2*s**2 - j - 1/4*s**3 - 1/4*s**4 = 0. What is s?
-2, 1, 2
Let t(v) be the third derivative of v**7/840 - 5*v**6/24 - v**5/240 + 25*v**4/24 + 529*v**2. Find x such that t(x) = 0.
-1, 0, 1, 100
Let g = -24/6655 + 26788/46585. What is x in -3/7*x**2 + 0 - g*x + 1/7*x**3 = 0?
-1, 0, 4
Let k(a) be the second derivative of -a**4/36 + 7*a**3/9 - 13*a**2/6 - 3*a - 173. Determine r so that k(r) = 0.
1, 13
Factor 53248/7 + 2880/7*x**2 - 20992/7*x + 2/7*x**4 - 152/7*x**3.
2*(x - 52)*(x - 8)**3/7
Let l(p) = -p**3 + 2. Let a(b) = -9*b**3 + 27*b**2 + 95*b + 89. Let k(q) = -3*a(q) + 30*l(q). What is g in k(g) = 0?
-23, -3, -1
Factor -288*h + 1389 - 2*h**3 - 1389 - 52*h**2.
-2*h*(h + 8)*(h + 18)
Let f = 759799 + -759775. Suppose -f*h**2 + 2/7*h**3 + 504*h + 0 = 0. What is h?
0, 42
Let a(c) be the second derivative of -c**10/60480 - c**9/10080 + c**7/1260 + 4*c**4/3 + 61*c. Let t(x) be the third derivative of a(x). Factor t(q).
-q**2*(q - 1)*(q + 2)**2/2
Let c(g) be the first derivative of -4*g**3/21 + 4062*g**2/7 - 1160*g - 7733. Let c(p) = 0. What is p?
1, 2030
Let w(o) be the third derivative of 30*o**2 - 1/90*o**5 - 1/3*o**3 - 1/9*o**4 + 2*o + 0. Determine v so that w(v) = 0.
-3, -1
Let x(z) be the third derivative of z**7/21 + 13*z**6/24 + 2*z**5 + 85*z**4/24 + 10*z**3/3 - z**2 - 159*z. Factor x(r).
5*(r + 1)**2*(r + 4)*(2*r + 1)
Let r be -12*1*(-3)/9 - -30. Suppose r*u - 95 = 15*u. Factor -2/5*t**u + 0*t - 14/5*t**3 + 0 - 6/5*t**2 - 2*t**4.
-2*t**2*(t + 1)**2*(t + 3)/5
Let h(z) be the third derivative of z**6/8 + z**5/20 - 204*z**2. Let g(j) = 79*j**3 + 15*j**2. Let d(l) = 2*g(l) - 11*h(l). Factor d(u).
-u**2*(7*u + 3)
Suppose 5*s + 95 = -3*o, 2*o = -s - 2*o - 36. Let b(n) = 2*n + 35. Let w be b(s). Factor 6*x**4 + 4*x**3 - x**4 - x**2 + 3 - w.
x**2*(x + 1)*(5*x - 1)
Let m(v) = -17*v**3 + 19*v**2 + 9*v - 54. Let w(t) = 15*t**3 - 18*t**2 - 9*t + 54. Let h(q) = -6*m(q) - 7*w(q). Determine x so that h(x) = 0.
-2, 3
Suppose -p + 77 = -5*z + 59, -4*p + 3 = 3*z. Find x, given that -44/5*x**2 - 16/5 + 152/15*x + 6/5*x**p = 0.
2/3, 6
Let s(k) = k**3 + 19*k**2 - 839*k - 15423. Let z be s(-18). Factor 18/7 + 51/7*w - 3/7*w**4 + 45/7*w**2 + 9/7*w**z.
-3*(w - 6)*(w + 1)**3/7
Suppose -4*q = -5*a - 4025, 17*a = 5*q + 12*a - 5025. Suppose -1008*s + 32 = -q*s. Factor -38/3*n**2 - n**s + 9*n + 22/3*n**3 - 1/3*n**5 - 7/3.
-(n - 1)**4*(n + 7)/3
Let o(m) be the second derivative of 3*m**5/80 + 3*m**4/4 - 969*m. Factor o(t).
3*t**2*(t + 12)/4
Let j(k) be the first derivative of 3*k**5/10 - 21*k**4/8 - 9*k**3/2 + 21*k**2/4 + 12*k + 2990. Let j(l) = 0. Calculate l.
-1, 1, 8
Let -287/5*y + 0 - 1/5*y**2 = 0. What is y?
-287, 0
Let h(l) = -2*l**2 - 17*l - 9. Let q(t) = 32*t**2 + 6*t + 3*t + 4 - 31*t**2. Let w(n) = -4*h(n) - 9*q(n). Let w(p) = 0. What is p?
-13, 0
Let m(f) be the third derivative of 2*f**3 + 0*f + 1/60*f**6 - 25 + f**2 - 2/15*f**5 + 1/12*f**4. Suppose m(h) = 0. Calculate h.
-1, 2, 3
Suppose 22/5*b**2 - 15*b + 54/5 - 1/5*b**3 = 0. What is b?
1, 3, 18
Let a(v) = 5*v**2 + v - 2. Let f = -348 + 347. Let w be a(f). Determine h so that -3/4*h**w + 0 + 1/2*h + 1/4*h**3 = 0.
0, 1, 2
Let h(i) be the second derivative of i**4/4 + 872*i**3 + 1140576*i**2 + 4532*i. Factor h(s).
3*(s + 872)**2
Let p(n) be the second derivative of n**4/12 + 442*n**3 + 879138*n**2 + 7018*n. Find w, given that p(w) = 0.
-1326
Let i(s) be the second derivative of 5/6*s**4 + 0 - 1/12*s**6 - 84*s + 1/8*s**5 - 5/3*s**3 + 0*s**2. What is c in i(c) = 0?
-2, 0, 1, 2
Suppose g + f - 5 = 3*f, 2*g - 5*f = 11. Let w be (-6 - -3)*(-2 + -1)/g. Factor 3*s - s**2 - 9*s**w - s**2 - s + 2 + 7*s**3.
-2*(s - 1)*(s + 1)**2
Suppose 4*q = 60 - 44. Factor 35*d**4 - 33*d**4 - 4*d**2 + 4*d**3 - 3*d**q.
-d**2*(d - 2)**2
Let s = 7 + -5. Suppose -3*z + 25 = 13. Determine l so that -z*l**2 + 48 + 7*l**s + 0*l**2 - 24*l = 0.
4
Let x = 161866/45 + -3597. Let q(z) be the third derivative of -x*z**5 + 1/360*z**6 + 0*z - 1/9*z**3 + 0 + 5/72*z**4 + z**2. Find l such that q(l) = 0.
1, 2
Let i(l) be the third derivative of l**7/42 - l**6/24 - 8*l**5 + 165*l**4/2 + 5*l**2 + 128*l. Factor i(w).
5*w*(w - 6)**2*(w + 11)
Suppose -36 = 3*g - 54. Suppose -14*c**2 + 26*c - g - 5 - 1 = 0. What is c?
6/7, 1
Let u(b) = -2630*b + 23672. Let q be u(9). Solve 4/3*f**5 + 26/3*f**4 + 32/3*f**3 - 86/3*f**q - 24 - 64*f = 0 for f.
-3, -2, -1/2, 2
Suppose -n - 5*n + 12 = 0. Let u be 4/6 - (-48)/36. Suppose -m**n + 6*m**3 - 4*m**3 + 3*m**u + 6 - 10*m = 0. Calculate m.
-3, 1
Let m be 7 - (-83825)/42 - (-2)/12. Factor -1141*r**3 - r**5 - 258*r**4 - 2403*r**3 - m*r**3 - 2*r**5.
-3*r**3*(r + 43)**2
Let u(o) = -6*o**3 - 58*o**2 - 2*o - 4. Let f(l) = l**4 + 3*l**3 + 60*l**2 + 3*l + 6. Let g(d) = -2*f(d) - 3*u(d). Determine x, given that g(x) = 0.
-3, 0, 9
Let x(a) = -11*a**2 - 228*a - 224. Let s be -35*(-6)/90*3. Let m(t) = -5*t**2 - 114*t - 112. Let v(o) = s*m(o) - 3*x(o). Fac