 - 1)*(r + 1)**2
Let x(b) be the first derivative of -1/42*b**4 - 1 - 2/21*b**3 - 2/21*b**2 + 0*b. Factor x(d).
-2*d*(d + 1)*(d + 2)/21
Let r(i) = -1. Let f be (1 + (0 - 2))*4. Let s = 3 + f. Let m(l) = 2*l**2 - 6*l + 16. Let y(b) = s*m(b) - 12*r(b). Solve y(x) = 0.
1, 2
Let q = 35 - 37. Let m be q + 1 - (-38)/14. Factor m*j**2 + 12/7*j + 4/7 + 4/7*j**3.
4*(j + 1)**3/7
Let v(g) be the first derivative of 12 + 1/10*g**5 - 1/16*g**4 - 1/6*g**3 + 1/24*g**6 + 0*g**2 + 0*g. Factor v(a).
a**2*(a - 1)*(a + 1)*(a + 2)/4
Factor 34/3*u**3 + 10*u**2 - 4/3*u + 0.
2*u*(u + 1)*(17*u - 2)/3
Let j(f) = -f - 4. Let s be j(-8). Factor -13*z**4 + 23*z**4 - 15*z**s - 5*z**5.
-5*z**4*(z + 1)
Let a(c) be the second derivative of -5*c**4/12 - 25*c**3/6 - 121*c. Factor a(w).
-5*w*(w + 5)
Factor -6*z**4 + 8*z**3 - 27*z - 32*z**3 - 842*z**2 + 896*z**2 + 3*z**5.
3*z*(z - 3)*(z - 1)**2*(z + 3)
Let x be 5/(-1) - -3 - -4. Let c(j) be the first derivative of -9/4*j**x - 9/10*j**5 + j**3 + 1/4*j**6 - 9 + 3/2*j + 3/4*j**4. Factor c(a).
3*(a - 1)**4*(a + 1)/2
Let n(r) be the first derivative of -110/3*r**3 - 245*r - 32 + 15*r**4 - 210*r**2 - r**5. Suppose n(f) = 0. Calculate f.
-1, 7
Let m(y) be the second derivative of 3*y**6/10 - 78*y**5/5 - 55*y**4/6 + 88*y**3/3 - 35*y**2/2 + 27*y - 2. Factor m(t).
(t - 35)*(t + 1)*(3*t - 1)**2
Let k(j) be the first derivative of 0*j**5 + 1/12*j**6 + 10/3*j**3 + 2*j + 32 - 15/4*j**2 - 5/4*j**4. Determine l so that k(l) = 0.
-4, 1
Let r(t) be the third derivative of 7*t**6/360 - 4*t**5/45 - 5*t**4/18 + 8*t**3/3 - 13*t**2 - 1. Solve r(g) = 0.
-12/7, 2
Factor -4*j**3 - 28*j + 7*j**3 - 48 - 5*j - 21*j + 18*j.
3*(j - 4)*(j + 2)**2
Let v = 16 + -14. Suppose v + 4 = 3*x. Factor t**2 - x - 2*t + 0 + t.
(t - 2)*(t + 1)
Let x(n) be the third derivative of -n**6/600 - 7*n**5/300 - n**4/12 - 25*n**2. Suppose x(s) = 0. Calculate s.
-5, -2, 0
Let b be 15/(((-4)/6)/2*-3). Suppose -2*j - 3*j + b = 0. Factor -4/15*m + 0 - 2/5*m**2 + 2/15*m**4 + 0*m**j.
2*m*(m - 2)*(m + 1)**2/15
Let a(m) be the third derivative of -m**6/840 - 2*m**5/105 + 15*m**4/56 - 6*m**3/7 - 6*m**2 - 54*m. Find j, given that a(j) = 0.
-12, 1, 3
Let h(y) be the first derivative of -y**5/20 + y**4/4 + 90. Factor h(n).
-n**3*(n - 4)/4
Let g(u) = 4*u**2 - 6*u + 4. Let k be ((-54)/(-45))/(4/(-10)). Let a(j) = 5*j**2 - 7*j + 5. Let v(t) = k*g(t) + 2*a(t). Suppose v(i) = 0. Calculate i.
1
Let u(k) be the second derivative of k**4/4 - 279*k**3 + 233523*k**2/2 - k + 272. Factor u(i).
3*(i - 279)**2
Let j(o) be the third derivative of -o**7/1260 + o**6/36 - 37*o**5/360 + o**4/8 - 741*o**2. Suppose j(n) = 0. What is n?
0, 1, 18
Suppose 4*w - 12 + 0 = 0, m - 12 = -3*w. Let f(y) be the first derivative of -2/5*y**m - 4 - 8/5*y + 1/20*y**4 + 6/5*y**2. Let f(n) = 0. Calculate n.
2
Let s(p) be the first derivative of -3/5*p**5 + 11/3*p**3 - 3/2*p**2 + 0*p + 15 - 5/4*p**4. Let s(c) = 0. What is c?
-3, 0, 1/3, 1
Let c(o) = -11*o**4 - 26*o**3 - 4*o**2 - 8*o - 4. Let t(z) = 40*z**4 + 105*z**3 + 15*z**2 + 30*z + 15. Let q(d) = -15*c(d) - 4*t(d). Factor q(m).
5*m**3*(m - 6)
Let -4*b**5 - 11*b**5 - 540*b + 305*b**2 + 140 - 85*b**4 + 265*b**3 - 70*b**3 = 0. What is b?
-7, -2, 1/3, 1, 2
Let u(s) be the second derivative of -s**6/360 - 13*s**3/6 - 27*s. Let r(y) be the second derivative of u(y). Factor r(g).
-g**2
Let x = 2819/11 + -256. Let s(g) be the first derivative of 1 + 10/33*g**3 - 4/11*g - x*g**2. Factor s(v).
2*(v - 1)*(5*v + 2)/11
Let k be (-1)/(-29)*(-2 + 16). Let h = 31/116 + k. Factor -1/2*m - h*m**3 - 5/4*m**2 + 0 + 1/4*m**4 + 1/4*m**5.
m*(m - 2)*(m + 1)**3/4
Let 6*t + 0 + 2/3*t**4 - 34/3*t**2 + 14/3*t**3 = 0. Calculate t.
-9, 0, 1
Find b, given that 1144 - 360*b**3 - 450*b**2 + 881 - 41*b**5 + 1620*b + 8*b**4 + 17*b**4 + 61*b**5 = 0.
-3, -5/4, 3
Suppose -2*u + 5*z = 0, 10*z - 32 = -2*u + 7*z. Suppose 2*y + 14 = 4*y - 2*g, -u = 2*g. Solve 6/5*q**4 - 3/5*q**5 + 0*q**y + 0 - 3/5*q**3 + 0*q = 0.
0, 1
Suppose 4*s = -0*s + 16. Suppose 5*p + 2*y = 2*p + 6, 4*y = -s*p + 4. Let 3 - 6*t + 2*t**5 + t**4 + p*t**3 + 5*t**4 - 4*t**2 - 4 - 1 = 0. Calculate t.
-1, 1
Let x be (-8)/(-6) + 30/18. Solve -3*b**2 - 5*b - 5*b + 18*b**2 - 2*b**3 - 3*b**x = 0 for b.
0, 1, 2
Suppose 4*f - 12 = 0, -2*v - f + 19 = 4*f. Suppose 0 = x - 3*k + 13, -2*x - 16 = -6*k + 2*k. Suppose -v*n - x*n**2 - n - n = 0. Calculate n.
-2, 0
Let v(t) = t + 3. Let z be v(3). Suppose 2*m**4 + 2198*m - 2198*m - z*m**5 = 0. What is m?
0, 1/3
Let g(v) be the second derivative of -3/10*v**4 + 1/75*v**6 - 37*v - 4/15*v**3 + 0*v**5 + 0 + 12/5*v**2. Determine i, given that g(i) = 0.
-2, 1, 3
Let v(i) be the second derivative of i**9/105840 - i**8/15680 + i**7/5880 - i**6/5040 - 4*i**4/3 + 4*i. Let x(r) be the third derivative of v(r). Factor x(j).
j*(j - 1)**3/7
Suppose j - 21 = -2*g + 18, -5*j - 47 = -g. Suppose -14*f + 0*f**3 - 2*f**3 + g*f = 0. What is f?
-2, 0, 2
Let a(p) be the first derivative of 24 + 5/3*p**3 + 5*p - 5*p**2. Factor a(h).
5*(h - 1)**2
Let i(u) be the third derivative of -u**5/630 + 73*u**4/252 - 142*u**3/63 - 217*u**2. Suppose i(b) = 0. Calculate b.
2, 71
Let n(t) = -t + 1. Let i be (-3 + 0 - -4)*24. Let w(k) = -i*k + 4 - 4*k**3 - 2 + 2*k**4 + 22*k. Let j(z) = -2*n(z) + w(z). Suppose j(s) = 0. Calculate s.
0, 2
Let s(v) be the second derivative of -v**7/168 - v**6/36 - v**5/24 - 7*v**3/6 + 7*v. Let d(w) be the second derivative of s(w). Suppose d(l) = 0. What is l?
-1, 0
Let f be 27/12*26/78. Let w(k) be the first derivative of 2 - 7*k**3 + 45/2*k**2 - 27*k + f*k**4. Factor w(a).
3*(a - 3)**2*(a - 1)
Let v be 6/(-27) + (5 - 5) - 224/(-441). Factor -32/7*i - v*i**2 - 128/7.
-2*(i + 8)**2/7
Let r = -33 - -37. Factor -1 + 13 - 2 + 6*j - 7 - 6*j**3 - 3*j**r.
-3*(j - 1)*(j + 1)**3
Let s(w) = -w**2 + 34*w - 165. Let n be s(6). Suppose -24 = -n*f + 3*t, -5 = 5*f - t - 29. Factor 0 + 0*c - 4/7*c**2 + 22/7*c**5 + 2*c**3 + 40/7*c**f.
2*c**2*(c + 1)**2*(11*c - 2)/7
Let b(i) be the second derivative of 0 + 5/42*i**7 - 7/6*i**6 - 125/12*i**4 + 40/3*i**3 + 17*i - 10*i**2 + 19/4*i**5. Suppose b(h) = 0. What is h?
1, 2
Solve -7*b**3 + 2*b**3 + b**3 - 228*b + 102*b**2 + 62*b**2 + 68*b = 0.
0, 1, 40
Let x(l) be the third derivative of 143/6*l**5 + 0 + 20/3*l**3 + 10*l**2 - 115/6*l**4 - 121/24*l**6 + 0*l. Determine y so that x(y) = 0.
2/11, 2
Let n(u) = 8*u**2 - 4*u - 4. Let a(q) be the second derivative of -3*q**4/4 + 2*q**3/3 + 5*q**2/2 - 12*q. Let d(c) = -6*a(c) - 7*n(c). Solve d(t) = 0.
1
Let i(k) be the third derivative of k**9/15120 - k**8/1680 + k**7/504 - k**6/360 + k**4/3 + 5*k**2. Let m(d) be the second derivative of i(d). Factor m(p).
p*(p - 2)*(p - 1)**2
Let 4*s**3 - s**4 - s - 10*s**2 + 4*s**2 + s**3 + 637 - 3*s - 629 = 0. Calculate s.
-1, 2
Suppose -6*g + 9 = d - 2*g, 0 = 3*d - g - 1. Let i be 1*(-2 - -6) + d. Factor 0*c - 2*c - 2*c**2 + i*c - c.
-2*c*(c - 1)
Find t, given that 0 + t + t**2 - 1/4*t**3 - 1/4*t**4 = 0.
-2, -1, 0, 2
Let b(j) be the second derivative of -2*j**6/105 + 4*j**5/35 - 116*j. Factor b(f).
-4*f**3*(f - 4)/7
Suppose -2*i = -6*i + 5*s + 25, -4*i - 15 = 3*s. Suppose 0*z + d = -z + 2, i = -5*z + 3*d - 6. Find c such that 3/5*c - 3/5*c**3 + 0*c**2 + z = 0.
-1, 0, 1
Let i(k) be the first derivative of k**6/30 + 7*k**5/30 + 2*k**4/3 + 3*k**3 - 21. Let r(j) be the third derivative of i(j). Solve r(w) = 0 for w.
-4/3, -1
Determine a so that 2/5*a**4 + 0 + 26/5*a**2 + 28/5*a**3 + 0*a = 0.
-13, -1, 0
Let c = 2973/10 - 1354/5. Suppose 39*x**3 + 0 - 4*x - 14*x**2 + 11/2*x**5 - c*x**4 = 0. What is x?
-2/11, 0, 1, 2
Let v(t) be the second derivative of t**7/14 - 14*t**6/5 + 579*t**5/20 + 41*t**4/2 - 266*t**3 - 588*t**2 + 2*t - 48. Solve v(b) = 0 for b.
-1, 2, 14
Let r(x) be the second derivative of -x**7/630 + x**6/27 - 16*x**5/45 + 16*x**4/9 - 29*x**3/6 - 20*x. Let j(c) be the second derivative of r(c). Factor j(v).
-4*(v - 4)**2*(v - 2)/3
Let 6 + 51/2*v**2 - 31/2*v**3 - 1/2*v**5 - 20*v + 9/2*v**4 = 0. What is v?
1, 2, 3
Let n = -66 + 69. Let f = -4 + 9. Determine j, given that -3*j**f - 4*j**3 - 6*j**4 + 2*j**n - 4*j**3 + 3*j**3 = 0.
-1, 0
Suppose -4*r = -5*w + 203, 2*r + 22 + 75 = w. Let u = -45 - r. Factor 1/2*c**u - 1/2*c - 1.
(c - 2)*(c + 1)/2
Let s(a) be the second derivative of 41*a + 0 + 0*a**2 + 5/18*a**4 - 1/30*a*