*d*3/3. Suppose 2 - 11*i + 8*i + i**m + 0 = 0. What is i?
1, 2
Let j(i) = -i + 13. Let p be j(9). Let u = 8 - p. Factor -u*b**3 + 3*b + 3*b - 6*b.
-4*b**3
Suppose -30*a + 20 = -25*a. Let x be (a/54)/(4/24). Suppose -2/9*p**2 - x - 2/3*p = 0. Calculate p.
-2, -1
Let l = 22559 - 22557. Let -22/3*g**l + 10/3*g + 4/3 - 10*g**4 - 58/3*g**3 = 0. Calculate g.
-1, -1/3, 2/5
Find f, given that 2/15*f**5 + 6/5*f**4 - 6*f**2 + 8/15*f - 2/3*f**3 + 24/5 = 0.
-9, -2, -1, 1, 2
Let r(b) be the third derivative of -1/12*b**5 - 1/42*b**7 + 5/3*b**3 + b**2 + 1/8*b**6 + 0 - 5/8*b**4 + 0*b. Find c such that r(c) = 0.
-1, 1, 2
Let o(z) be the second derivative of -z**7/840 + z**5/120 - 2*z**3/3 + 9*z. Let i(r) be the second derivative of o(r). Factor i(t).
-t*(t - 1)*(t + 1)
Let l(z) = 6*z + 24. Let b be l(-4). Let a(r) be the first derivative of b*r**3 + 2/3*r**2 - 1/3*r**4 - 2/3*r + 2/15*r**5 + 2. Factor a(y).
2*(y - 1)**3*(y + 1)/3
Let s(p) be the first derivative of -2*p**5/65 + 94*p**4/13 - 8836*p**3/13 + 415292*p**2/13 - 9759362*p/13 - 314. Suppose s(u) = 0. What is u?
47
What is i in -23/4*i + 25/2 - 1/4*i**2 = 0?
-25, 2
Let w(o) be the second derivative of 0 - 6*o + 1/102*o**4 + 0*o**2 + 2/51*o**3. Let w(r) = 0. Calculate r.
-2, 0
Let a be (-2)/(-3) + (-916)/(-12). Find l such that -4*l - 68*l**2 + 147*l**2 - a*l**2 = 0.
0, 2
Let o(l) be the first derivative of l**3 + 267*l**2/2 - 232. Find b, given that o(b) = 0.
-89, 0
Suppose 23*y = 9*y + 70. Let a(p) be the second derivative of -1/10*p**y + 0 + 1/3*p**3 + 1/30*p**6 + 7*p + 0*p**2 - 1/12*p**4. Solve a(r) = 0.
-1, 0, 1, 2
Let g(u) be the second derivative of u**5/10 - 17*u**4/48 + u**3/12 - 147*u + 1. Find c such that g(c) = 0.
0, 1/8, 2
Let g be 4/10 + -8 + (-2739)/(-360). Let z(d) be the third derivative of 1/300*d**5 + 0*d + 0 + g*d**4 + d**2 + 0*d**3. Factor z(p).
p*(p + 1)/5
Let j(x) be the third derivative of 4*x**7/105 + x**6/6 - x**5/5 - 3*x**2. Suppose j(v) = 0. What is v?
-3, 0, 1/2
Let r(d) be the second derivative of d**6/180 - d**4/3 + 3*d**3/2 + d**2/2 - 48*d. Let s(j) be the second derivative of r(j). Factor s(x).
2*(x - 2)*(x + 2)
Let j(w) be the first derivative of -w**6/36 - w**5/30 + 7*w**4/12 - 13*w**3/9 + 19*w**2/12 - 5*w/6 - 35. Factor j(a).
-(a - 1)**4*(a + 5)/6
Suppose 40 - 36 = 4*t. Let d(u) be the first derivative of 4/3*u - 10/9*u**3 - t - u**2. Let d(i) = 0. Calculate i.
-1, 2/5
Suppose d + 2*d + s = -29, 0 = s + 5. Let m be (-11)/(-3) - d/(-12). Factor 3*a**2 - m - 2*a + 2*a.
3*(a - 1)*(a + 1)
Suppose -36 = -6*k - 0. Let d(r) = -9*r**2 - 10*r - 2. Let i(l) = -9*l**2 - 11*l - 1. Let v(z) = k*i(z) - 5*d(z). Let v(w) = 0. Calculate w.
-2, 2/9
Solve 3/7*y**2 + 6 + 27/7*y = 0 for y.
-7, -2
Factor 15*f**2 + 18*f**2 - 5*f - 3*f - 20 - 32*f**2.
(f - 10)*(f + 2)
Suppose 104 - 94 = 2*z, 34 = 3*d + 5*z. Let u be 4 - ((0 - -1) + -1). Suppose 1/3*b**d - 4/3*b**u - 2/3 + 4*b**2 + 5/3*b = 0. What is b?
-1, 1/4, 2
Let c be (-80)/(-24) + 0 + -2. Let k(s) be the first derivative of -7/3*s**2 - c*s + 7/24*s**4 + 11 + 1/6*s**5 - s**3. Solve k(a) = 0 for a.
-2, -1, -2/5, 2
Let a(u) be the third derivative of -20*u**2 + 0*u + 13/105*u**5 - 1/60*u**6 + 0 - 8/21*u**3 - 5/21*u**4. Factor a(j).
-2*(j - 2)**2*(7*j + 2)/7
Let z(v) = -16*v**5 + 30*v**4 - 52*v**3 + 36*v**2 - 4*v. Let l(s) = -s**5 - 2*s**4 + s**3 + s**2. Let a(g) = 6*l(g) - z(g). Let a(d) = 0. Calculate d.
0, 1/5, 1, 2
Let n be -1*((2 - (-16)/(-4)) + 2). Let o(p) be the second derivative of -2*p + 3/5*p**3 - 2/5*p**4 + n - 2/5*p**2 + 1/10*p**5. Factor o(h).
2*(h - 1)**2*(5*h - 2)/5
Let z(p) be the first derivative of -p**3/3 - 5*p**2/2 + 9*p - 8. Let l be z(-6). Factor 2*d**4 + 0*d**2 - 4/5*d**l + 0 + 0*d.
2*d**3*(5*d - 2)/5
Let h(v) be the second derivative of -v**6/10 - 21*v**5/20 + 2*v**4 - 714*v. Determine u, given that h(u) = 0.
-8, 0, 1
Factor 102*s - 45*s - 212*s - 100*s - 3*s**2.
-3*s*(s + 85)
Let h be (-36)/(36/(-6))*(-1)/(-3). Determine b so that -190*b + 374*b - 192*b + 16*b**h + 1 = 0.
1/4
Suppose 5 = -f - v + 4, 4 = -f - 4*v. Let p(k) be the third derivative of 1/120*k**5 + 0*k + f - 1/64*k**4 + 7*k**2 - 1/48*k**3. Factor p(o).
(o - 1)*(4*o + 1)/8
Let a be 169/(-168)*-1 + -1 + 0. Let o(b) be the second derivative of 5/24*b**3 - 1/24*b**4 + 0 - a*b**7 + 1/30*b**6 - 1/4*b**2 - 3*b - 1/20*b**5. Factor o(d).
-(d - 2)*(d - 1)**3*(d + 1)/4
Let g(d) be the third derivative of -d**5/12 - 5*d**4/24 + 50*d**3/3 - 3*d**2 + 60*d. Factor g(p).
-5*(p - 4)*(p + 5)
Let r(k) be the first derivative of 17 + 4*k**3 + 0*k**4 - 4/5*k**5 - 4*k**2 + 0*k. Find t, given that r(t) = 0.
-2, 0, 1
Let v = 11601 + -11601. Factor v - 3/7*b**2 + 12/7*b.
-3*b*(b - 4)/7
Let g(r) be the second derivative of r**8/3360 - r**7/630 - r**6/120 + 11*r**4/6 + 20*r. Let k(d) be the third derivative of g(d). Factor k(p).
2*p*(p - 3)*(p + 1)
Let v(k) be the second derivative of -3*k**5/20 - 4*k**4 + 17*k**3/2 + 276*k. Factor v(p).
-3*p*(p - 1)*(p + 17)
Let t = -437/7 + 443/7. Factor -6/7*s**2 + 0 + t*s**3 - 2/7*s**4 + 2/7*s.
-2*s*(s - 1)**3/7
Factor 8*c - 7*c**2 - 82*c + 2*c**2 - 41*c.
-5*c*(c + 23)
Let k be 2/10 - (-19)/5. Suppose k*y = 1 + 7. Let 3 + 2*o - o**3 - 1 - 2*o**y + 0*o**2 - o**3 = 0. Calculate o.
-1, 1
Let r(y) = -7*y + 26. Let g be r(4). Let w be g + 96/10*16/64. Solve 0*v**3 + 0*v + 2/5*v**4 - w*v**2 + 0 = 0 for v.
-1, 0, 1
Let w be (-3 - (-14)/3)/(4/48). Find h such that 20*h**2 - 14*h**4 + 14*h**4 + 15*h**3 - w*h**4 - 20*h + 5*h**5 = 0.
-1, 0, 1, 2
Find g, given that 24*g - 24*g**3 - 45/2*g**2 + 0 + 45/2*g**4 = 0.
-1, 0, 1, 16/15
Let x(j) be the first derivative of 0*j + 2/27*j**3 + 10 + 2/9*j**2. Let x(l) = 0. Calculate l.
-2, 0
Let r(u) be the first derivative of -u**5/390 + u**4/156 + 2*u**3/39 - 11*u**2 - 18. Let w(v) be the second derivative of r(v). Factor w(x).
-2*(x - 2)*(x + 1)/13
Factor -8/3 - 4*w - 2/3*w**2 + w**3 + 1/3*w**4.
(w - 2)*(w + 1)*(w + 2)**2/3
Let u(h) be the second derivative of 0 - 1/10*h**5 + 0*h**2 + 29*h - 1/12*h**4 + 1/30*h**6 + 1/3*h**3. Let u(v) = 0. What is v?
-1, 0, 1, 2
Solve -9/5*q**2 + 0 - 6/5*q - 3/5*q**3 = 0.
-2, -1, 0
Factor 1/3*c + 2/3*c**4 + 0 - 1/3*c**5 + 0*c**3 - 2/3*c**2.
-c*(c - 1)**3*(c + 1)/3
Let x be ((-297)/(-110))/3 - (9/6 - 1). Factor 3/5*u**3 - x*u + 1/5*u**2 + 0.
u*(u + 1)*(3*u - 2)/5
Let b(w) be the third derivative of w**8/840 + w**7/175 - w**6/150 - w**5/25 + w**4/60 + w**3/5 - 2*w**2 - 5. Solve b(y) = 0 for y.
-3, -1, 1
Let q(i) be the second derivative of i**8/15120 - i**6/540 + i**5/135 + 4*i**4/3 - 43*i. Let n(m) be the third derivative of q(m). Solve n(s) = 0.
-2, 1
Let u be (195/(-280) - (-40)/70) + (-18)/(-80). Determine s so that 0*s**3 - u*s**4 + 0*s**2 + 0*s + 0 = 0.
0
Let u(z) = -4*z**4 + 4*z**3 + 2*z**2 - 9*z - 18. Let a(f) = 3*f**4 - 4*f**3 - f**2 + 10*f + 16. Let g(b) = -5*a(b) - 4*u(b). Factor g(n).
(n - 2)*(n + 1)**2*(n + 4)
Let s(x) be the second derivative of x**4/132 + 5*x**3/22 - 17*x**2/11 - 4*x - 49. Determine u so that s(u) = 0.
-17, 2
Let x(o) = 2*o**2 + 5*o - 4. Let p(f) = f**2 + f + 1. Let w = -31 + 32. Let b(y) = w*p(y) - x(y). Find v, given that b(v) = 0.
-5, 1
Let v be (-16)/(-108)*18*3/26. Let f = 409/858 + -1/66. Factor -v - 2/13*z**2 - f*z.
-2*(z + 1)*(z + 2)/13
Let y(w) = -w**4 - w**3 - w. Let o(c) = c**5 + 9*c**4 + 15*c**3 - c. Let n(x) = -o(x) + y(x). What is p in n(p) = 0?
-8, -2, 0
Let b(q) be the first derivative of -7*q**6/150 - 2*q**5/75 + 7*q**4/30 + 4*q**3/15 - 5*q**2/2 - 5. Let i(c) be the second derivative of b(c). Factor i(v).
-4*(v - 1)*(v + 1)*(7*v + 2)/5
Let h(v) be the third derivative of -v**8/168 + 17*v**7/525 + 19*v**6/300 - v**5/6 - 7*v**4/30 + 8*v**3/15 - 12*v**2 + 11. Suppose h(n) = 0. Calculate n.
-1, 2/5, 1, 4
Let d be ((-4)/(-12)*-1)/((-2)/6). Let v be ((-2)/(-8) - d)*-6. Factor 3/2 + v*l**2 - 9/2*l - 3/2*l**3.
-3*(l - 1)**3/2
Let 0 - 2/3*c**2 - 14/3*c**3 + 14/3*c + 2/3*c**4 = 0. What is c?
-1, 0, 1, 7
Let j(z) = -15*z**4 - 113*z**3 + 15*z**2 + 135*z + 11. Let o(q) = 3*q**4 + 23*q**3 - 3*q**2 - 27*q - 2. Let k(a) = -2*j(a) - 11*o(a). Let k(h) = 0. Calculate h.
-9, -1, 0, 1
Let x(n) = 6*n**2 + 128*n + 118. Let t(p) = 5*p**2 + 129*p + 119. Let j(m) = 4*t(m) - 5*x(m). Determine c, given that j(c) = 0.
-57/5, -1
Let l = -1013 + 4055/4. Factor 