49). Solve -6/13 + 4/13*d**3 + 8/13*d**a - 4/13*d - 2/13*d**4 = 0.
-1, 1, 3
Find m such that 5/6*m - 1/6*m**3 + 1/2 + 1/6*m**2 = 0.
-1, 3
Let p(v) be the third derivative of v**6/20 + v**5/30 - 5*v**4/3 + 4*v**3 + v**2 - 33*v. Factor p(f).
2*(f - 2)*(f + 3)*(3*f - 2)
Let v(x) be the second derivative of 0*x**3 + 1/2*x**2 + 0 - 1/12*x**4 + 8*x. Suppose v(l) = 0. Calculate l.
-1, 1
Let r(m) = -3*m**3 - m**2 + 2*m - 1. Let w be r(1). Let x(a) = -4*a - 12. Let c be x(w). Factor -1/2*b + c - 1/4*b**4 + 1/4*b**5 + 5/4*b**2 - 3/4*b**3.
b*(b - 1)**3*(b + 2)/4
Let i = -90 - -462/5. Factor -4*v**3 + 0 + 8/5*v - i*v**2.
-4*v*(v + 1)*(5*v - 2)/5
Factor 131 + 78*x - 27 - 2002*x**2 + 2000*x**2 + 148.
-2*(x - 42)*(x + 3)
Let r(k) be the second derivative of 12*k - 3/10*k**5 + 0*k**6 + 0*k**2 + 0 + 1/14*k**7 + 1/2*k**3 + 0*k**4. Factor r(m).
3*m*(m - 1)**2*(m + 1)**2
Let a(x) be the third derivative of 1/30*x**5 - 1/21*x**7 - 1/5*x**6 + x**4 + 0*x + 4/3*x**3 + 12*x**2 + 0. Solve a(k) = 0.
-2, -1, -2/5, 1
What is j in -28/13*j**2 - 16/13*j**3 + 4/13*j**5 + 10/13 + 18/13*j**4 + 12/13*j = 0?
-5, -1, -1/2, 1
Let n(t) be the first derivative of -t**3 + 15/4*t**4 - 11 - 3*t**2 - 3/2*t**6 + 0*t + 3/5*t**5. Solve n(p) = 0.
-1, -2/3, 0, 1
Let g(k) = 33*k**3 + 40*k**2 - 43*k + 3. Let u(d) = 164*d**3 + 196*d**2 - 216*d + 16. Let r(p) = -16*g(p) + 3*u(p). Solve r(a) = 0.
-2, 0, 5/9
Let n(j) be the third derivative of -j**9/60480 - j**8/20160 + 7*j**5/20 - 7*j**2. Let s(k) be the third derivative of n(k). Factor s(i).
-i**2*(i + 1)
Factor -45/4*o - 3*o**2 + 3/4*o**3 + 27/2.
3*(o - 6)*(o - 1)*(o + 3)/4
Suppose -a - 7 + 2 = -m, -13 = -2*m + 3*a. Factor -2*f**2 - 5*f**3 + 5*f + 3*f**2 - f**m.
-5*f*(f - 1)*(f + 1)
Let r be 2*-4 + 176/16. Factor 4/7*l**2 + 2/7*l + 2/7*l**r + 0.
2*l*(l + 1)**2/7
Let x(l) be the third derivative of l**7/105 - l**6/60 - l**5/6 - l**4/4 - 104*l**2. Let x(i) = 0. What is i?
-1, 0, 3
Let t(j) be the third derivative of -j**8/50400 - j**7/12600 + j**6/900 + 23*j**5/60 - 26*j**2. Let k(o) be the third derivative of t(o). What is v in k(v) = 0?
-2, 1
Suppose -16 = 5*o - 17 - 24. Factor 2/7*f**4 + 0*f - 2/7*f**2 + 0 + 2/7*f**o - 2/7*f**3.
2*f**2*(f - 1)*(f + 1)**2/7
Let u(k) be the third derivative of -k**7/2520 - k**6/240 - k**5/60 + 2*k**4/3 - 11*k**2. Let t(q) be the second derivative of u(q). Factor t(y).
-(y + 1)*(y + 2)
Suppose -g - 4*v + 106 = 0, 0 = -3*v - v + 8. Let d = 393/4 - g. Factor 5/4*f**2 + d*f**3 - 9/4 + 3/4*f.
(f - 1)*(f + 3)**2/4
Let c(s) = 29*s**2 + 4*s - 58. Let l(p) = 12*p**2 + 2*p - 28. Let v(j) = -2*c(j) + 5*l(j). Suppose v(o) = 0. What is o?
-4, 3
Let n(o) be the second derivative of -4205*o**4/12 + 290*o**3/3 - 10*o**2 + 42*o - 3. Suppose n(s) = 0. What is s?
2/29
Suppose 0 = 48*u - 52*u + 12. Let w(c) = 4 - 11*c - c**2 + 2*c**2 + 4*c. Let g(f) = -6*f + 3. Let m(q) = u*w(q) - 2*g(q). Let m(l) = 0. Calculate l.
1, 2
Let s(u) be the first derivative of -u**6/48 + u**5/40 + 5*u**3/3 + 2. Let x(i) be the third derivative of s(i). Determine c so that x(c) = 0.
0, 2/5
Let g = -19592 + 254720/13. Solve 6/13 + 12/13*w**3 + 20/13*w + g*w**2 + 2/13*w**4 = 0 for w.
-3, -1
Let g be (11 + -9)*(-1)/(-9). Let b be 16/(-18)*(35/5 - 8). Determine d so that -8/9*d**4 + 0 + g*d + 4/3*d**3 + 2/9*d**5 - b*d**2 = 0.
0, 1
Let r be (51/170)/((-9)/(-24)). Determine a so that -2/5*a**4 - 2/5*a**2 - r*a**3 + 0*a + 0 = 0.
-1, 0
Let r = 66 + -61. Let a be r - (-2 - ((-15)/2 - -3)). Factor -a*l**2 - 15/4 + 25/4*l.
-5*(l - 1)*(2*l - 3)/4
Let g = -38 + 77/2. Let n(f) be the second derivative of 3/40*f**5 + 3*f + 0 + g*f**3 - 3/8*f**4 + 0*f**2. What is k in n(k) = 0?
0, 1, 2
Factor 6*n**3 + 2321 - 2*n**5 - 4*n**2 - 2321.
-2*n**2*(n - 1)**2*(n + 2)
Determine g so that 22/3 - 130/3*g + 62*g**2 + 6*g**3 = 0.
-11, 1/3
Let s = -184 + 85. Let m be s/(-44) + (-1)/4. Let 1/3*w**m + 0*w + 0 = 0. Calculate w.
0
Suppose 6/5*l**4 - 2/5*l**3 + 2/5*l**5 + 0*l + 0 - 6/5*l**2 = 0. What is l?
-3, -1, 0, 1
Let c = 3 + -11/4. Suppose -475*o = -19*o - 912. Solve -c*k**o + 1/2*k + 0 = 0 for k.
0, 2
Let u(n) be the first derivative of 23 + 59/34*n**4 - 16/17*n - 58/17*n**3 - 4/17*n**5 + 46/17*n**2. Determine q so that u(q) = 0.
2/5, 1/2, 1, 4
Let u(f) be the first derivative of f**6/21 - 16*f**5/35 + 23*f**4/14 - 8*f**3/3 + 12*f**2/7 + 267. Determine p, given that u(p) = 0.
0, 1, 2, 3
Suppose 128*n - 14201 = -13945. Factor 4/3*f**n + 2*f + 0.
2*f*(2*f + 3)/3
Let c(k) be the first derivative of -k**7/840 + k**6/135 - 7*k**5/360 + k**4/36 - 3*k**3 + 3. Let o(q) be the third derivative of c(q). Factor o(s).
-(s - 1)**2*(3*s - 2)/3
Let c(d) be the third derivative of -1/40*d**6 + 0 + 0*d + 0*d**3 + 0*d**4 - 1/70*d**7 + 1/112*d**8 + 1/20*d**5 - 10*d**2. Suppose c(n) = 0. What is n?
-1, 0, 1
Let p(i) be the first derivative of -4/3*i**5 + 2/3*i**4 + 0*i + 0*i**3 - 9 - 2/3*i**6 + 0*i**2. Find f such that p(f) = 0.
-2, 0, 1/3
Let v(q) = q**2 + 1. Suppose 3*t = -12, -3*w - 5*t - 18 = -w. Let u(k) = -8*k**2 + 90*k - 408. Let n(a) = w*u(a) + 3*v(a). Solve n(d) = 0 for d.
9
Let i = 477 - 472. Let f(z) be the first derivative of 1/12*z**3 + 5 + 0*z - 1/16*z**4 + 1/8*z**2 - 1/20*z**i. Factor f(q).
-q*(q - 1)*(q + 1)**2/4
Suppose 5*i - s - 4*s = 160, 4*i - 124 = 5*s. Let c be (-2)/(((-16)/i)/2). Let 0 - 3/2*x**3 - 27/2*x - c*x**2 = 0. What is x?
-3, 0
Let g be (12/(-7))/(39/(-13)). Let z(a) be the first derivative of 10/21*a**3 + a**2 - 7 + g*a. Factor z(t).
2*(t + 1)*(5*t + 2)/7
Let m be (1 + 4/(-28))*7. Factor 0 - 2*k**2 + m - 2*k - 6.
-2*k*(k + 1)
Let g(w) be the first derivative of -w**5/100 + 3*w**4/40 - w**3/5 - 6*w**2 - 4. Let j(i) be the second derivative of g(i). Solve j(h) = 0 for h.
1, 2
Factor 3/2*x + 1/2*x**2 - 2.
(x - 1)*(x + 4)/2
Let m(t) be the second derivative of -t**6/120 - 3*t**5/50 - t**4/10 - 11*t**3/6 - 6*t. Let i(o) be the second derivative of m(o). Factor i(b).
-3*(b + 2)*(5*b + 2)/5
Let f(i) = 76*i + 25*i**2 - 18*i**2 - 1 - 77*i**2 - 5. Let v(h) = 10*h**2 - 11*h + 1. Let g(u) = -6*f(u) - 44*v(u). Factor g(w).
-4*(w - 1)*(5*w - 2)
Let j = -6 - -3. Let m(t) = -2*t**3 - t**2 + t + 3. Let s(q) be the first derivative of -q**4/2 + q**2 + 2*q - 4. Let r(z) = j*s(z) + 2*m(z). Factor r(c).
2*c*(c - 2)*(c + 1)
Let c = 135 + -1349/10. Let o(y) be the second derivative of 0 + 1/5*y**2 + 1/60*y**4 + 3*y + c*y**3. Determine n, given that o(n) = 0.
-2, -1
Suppose 5*l + 5*h - 430 = 0, 102 = l - 0*h - 3*h. Let r be 0/(l/20*(-2)/(-3)). Factor r - 1/2*v + 1/2*v**2 - 1/2*v**4 + 1/2*v**3.
-v*(v - 1)**2*(v + 1)/2
Let l = -32 - -34. Let a(c) be the first derivative of 1/20*c**4 + 0*c**2 + 2/15*c**3 + 0*c - 1/25*c**5 + l. Factor a(p).
-p**2*(p - 2)*(p + 1)/5
Let t(j) be the third derivative of 2/245*j**7 + 0*j**3 + 0*j**6 + 7*j**2 + 1/28*j**4 + 0 - 1/392*j**8 + 0*j - 1/35*j**5. Determine i, given that t(i) = 0.
-1, 0, 1
Let a(o) = 204*o**4 + 321*o**3 + 120*o**2 - 27*o. Let t(s) = -29*s**4 - 46*s**3 - 17*s**2 + 4*s. Let z = -59 - -61. Let l(c) = z*a(c) + 15*t(c). Factor l(d).
-3*d*(d + 1)**2*(9*d - 2)
Factor 0 - 2/7*a**2 - 10/21*a**3 + 6/7*a - 2/21*a**4.
-2*a*(a - 1)*(a + 3)**2/21
Suppose -2*v - 3*o - 28 = 0, 3*v + 4*o = -0*v - 43. Let t = -11 - v. Determine q so that 3*q**2 - 2 + 3*q - t*q**3 + 0 + 2 = 0.
-1/2, 0, 1
Let l be 73/46 + 2*(-15)/345. Let d(s) be the first derivative of -s - 3/4*s**3 - 8 + l*s**2. Solve d(w) = 0.
2/3
Solve 4*k**3 - 2312 - 4*k**3 - 279*k + 1707*k - 144*k**2 + 4*k**3 = 0 for k.
2, 17
Let q be (1710/6460)/(12/34). Let 0 - o**2 + o**4 - 1/2*o**3 - 1/4*o**5 + q*o = 0. Calculate o.
-1, 0, 1, 3
Let z = 44 + -62. Let x be 75/7 + z/(-63). Solve -4*m**2 - 2*m**5 + 4*m**4 + 11*m**3 - x*m**3 + 2*m = 0.
-1, 0, 1
Determine l so that -18/7*l**2 + 24/7 + 8/7*l + 2/7*l**4 + 0*l**3 = 0.
-3, -1, 2
Let f(d) be the second derivative of 1/2*d**3 + d + 0 + 0*d**2 - 3/4*d**4 + 3/10*d**5. Determine g so that f(g) = 0.
0, 1/2, 1
Let m(z) = 13*z**3 + 33*z**2 + 17*z + 2. Let g(p) = -13*p**3 - 34*p**2 - 17*p - 2. Let n = -11 - -6. Let c(r) = n*g(r) - 6*m(r). Solve c(u) = 0 for u.
-1, -2/13
Let p(n) be the first derivative of 10*n**3 + 5/2*n**2 - 5/4*n**4 + 19 - 30*n. Determine t so that p(t) = 0.
-1, 1, 6
Suppose -2*x - l - 4 = 3*l, -7 = -4*x - 3*l. Suppose -s + 10 = x*s. Solve -7*k + 4*k