 12*a(j) + 3*p(j). Find s, given that h(s) = 0.
-2, -1, 0, 2
Suppose -4*r - u - 4*u = -11, 5*r - 23 = 3*u. Let x = 2147/11 + -195. What is y in -2/11*y**r + 0*y - 4/11*y**3 + 0 - x*y**2 = 0?
-1, 0
Suppose 0 = -4*f - 50 + 58. Factor 2/5*i + 2/5*i**f - 4/5.
2*(i - 1)*(i + 2)/5
Let w be (-4)/100*(-15)/126. Let f(z) be the third derivative of -z**2 + 0 - 1/60*z**5 + 0*z + 0*z**4 - w*z**7 + 1/60*z**6 + 0*z**3. Factor f(y).
-y**2*(y - 1)**2
Let k = 11 - 8. Let f be k*(1 - (-2)/6). Let 4 + 2*p**3 - f + 2*p**2 + 0 = 0. What is p?
-1, 0
Let s be (15/6)/(20/48). Solve -4*d**3 - 4*d**2 + 3 - 2*d - 3 + s*d + 4 = 0.
-1, 1
Let m = 9/2 + -25/6. Suppose -2*f + 6 = 5*t - 3*t, 4*f - t - 7 = 0. Solve m*s**f + 0*s - 1/3 = 0 for s.
-1, 1
Let w(z) be the first derivative of 6*z**5/5 - 3*z**4/4 + 1. Find d such that w(d) = 0.
0, 1/2
Let b be 0 + -2 - 1 - -7. Let h(k) be the first derivative of -54/5*k**5 + 63/2*k**b + 17*k**2 - 34*k**3 + 1 - 4*k. Let h(s) = 0. What is s?
1/3, 2/3, 1
Let g = -28 + 30. Let z(b) be the first derivative of -1/14*b**4 + 0*b**3 + 0*b + 0*b**g + 3. What is w in z(w) = 0?
0
Let o(g) = -2*g + 2*g**2 - 3 - 6*g**2 + 5. Let b(j) = -12*j**2 + 16*j**2 - 2*j**2 - 5*j**2 + 2 - j. Let m(t) = -5*b(t) + 4*o(t). Factor m(p).
-(p + 1)*(p + 2)
Let a be (9/(-12))/(6/(-24)). Let f(p) be the first derivative of 0*p - 2/3*p**a + 0*p**2 + 2. Find b, given that f(b) = 0.
0
Let a(h) be the first derivative of h**4/12 + h**3/6 + h - 4. Let u(i) be the first derivative of a(i). Suppose u(j) = 0. Calculate j.
-1, 0
Let x(z) = -16*z**3 + 12*z**2 - 38*z + 16. Let y(c) = -c**3 - c. Let w(q) = -2*x(q) + 28*y(q). Determine i, given that w(i) = 0.
2
Let o(g) be the second derivative of g**7/168 + g**6/40 + 3*g**5/80 + g**4/48 + 4*g. Find u, given that o(u) = 0.
-1, 0
Let u = -3 - -5. Suppose -u*z + z = -4. Solve 1 + 8*r**2 + 4*r**3 + 0*r**3 + z*r + 0*r + r = 0.
-1, -1/2
Suppose 6*n - 5*n = 3*t - 1, 3*n - 2*t = 4. What is h in 32/3*h**n + 16/3*h + 2/3 = 0?
-1/4
Let b be ((-8)/(-49))/((-30)/182) + 1. Let n(z) be the third derivative of 0 + 1/420*z**6 + 1/84*z**4 - 3*z**2 + 0*z + 0*z**3 + b*z**5. Solve n(p) = 0 for p.
-1, 0
Let v(t) = -3*t**2 + 4. Let c(j) = -16*j**2 + 20. Let n(p) = -4*c(p) + 22*v(p). Factor n(l).
-2*(l - 2)*(l + 2)
Let r(i) be the third derivative of i**8/60480 + i**7/7560 - i**5/20 + 4*i**2. Let b(j) be the third derivative of r(j). Factor b(h).
h*(h + 2)/3
Let t be 1*(-2)/2 - -47. Let s = t - 183/4. Factor -1/4 - 1/4*m + s*m**3 + 1/4*m**2.
(m - 1)*(m + 1)**2/4
Let i(f) be the third derivative of -f**7/420 - f**6/60 - f**5/40 + f**4/12 + f**3/3 + 20*f**2. Factor i(y).
-(y - 1)*(y + 1)*(y + 2)**2/2
Let i(l) be the second derivative of 0 - 3/2*l**2 - 3/20*l**5 + 1/4*l**4 + l + 1/2*l**3. Let i(f) = 0. What is f?
-1, 1
Suppose 5*p = -5*v, 2*v = -p + 3*v + 8. Suppose p*h = 7*h. Factor -s**2 + h + 2/3*s + 1/3*s**3.
s*(s - 2)*(s - 1)/3
Let i(r) be the second derivative of -1/2*r**2 + 0 + 3*r + 1/24*r**4 + 1/12*r**3. Factor i(t).
(t - 1)*(t + 2)/2
Suppose 4*y = 3*y. Let c(f) be the third derivative of 0 + y*f - 2*f**2 + 1/24*f**4 + 0*f**3 + 1/60*f**5. Suppose c(t) = 0. What is t?
-1, 0
Suppose -4*z + 3*j = -4 - 14, -2*z + 4 = j. Factor 5*q**2 + 2*q**z - 5*q**2 + 0*q**3.
2*q**3
Suppose h = -3*h. Let g be ((-4)/(-3))/((-8)/(-12)). Determine t, given that 2*t**3 - t**2 + h*t**2 - g*t + t**2 = 0.
-1, 0, 1
Let l(k) = -k**2 - k + 8. Let w be l(-3). Find d, given that 14*d**w + 8/5 - 48/5*d = 0.
2/7, 2/5
Let y = -1 + 3. Determine k so that -6*k**y + 0*k**3 + 8 + 2*k**3 + 0*k**3 = 0.
-1, 2
Determine q, given that -q**3 + 5*q**2 - q**4 + 33*q + 2 - 28*q - 2*q**2 = 0.
-1, 2
Let z = -5 + 9. Let f = 9724/1869 + -16/267. Find v such that -6/7*v**5 + 2/7 + 26/7*v**z + f*v**2 - 2*v - 44/7*v**3 = 0.
1/3, 1
Suppose -10*x**3 + 11*x**3 - 7*x + 0*x**3 + 6 = 0. Calculate x.
-3, 1, 2
Let y be 0 - (0/1 - 2). Solve -11 + 8*l + 6 + 11 + 2*l**y = 0 for l.
-3, -1
Factor 2/5*j**4 - 6/5*j**2 - 4/5 - 2/5*j**3 + 2*j.
2*(j - 1)**3*(j + 2)/5
Let j(t) = -t + 10. Let f be j(8). Suppose 0 = -3*i + 4 + 2. Factor -6*u**2 + i + 4*u**2 + 0*u**f.
-2*(u - 1)*(u + 1)
Let p(z) be the second derivative of -z**4/12 + 4*z**3/3 + 3*z**2/2 + 3*z. Let k be p(8). Factor 2/3*i + 0 - 2/3*i**4 + 2/3*i**2 - 2/3*i**k.
-2*i*(i - 1)*(i + 1)**2/3
Let h(x) = -9*x + 3. Let j(d) = -d**2 - 10*d + 4. Let q(b) = -4*h(b) + 3*j(b). Factor q(i).
-3*i*(i - 2)
Let q(c) = c**2 - 5*c + 4. Let d be q(4). Let b be 6/(-8) + -1*210/(-56). Solve d + 1/2*i + 1/4*i**b - 3/4*i**2 = 0.
0, 1, 2
Let w be (-44)/11 - 128/(-6). What is x in -w*x**3 - 4/3*x + 56/3*x**5 + 10*x**2 - 10*x**4 + 0 = 0?
-1, 0, 1/4, 2/7, 1
Solve -2/11*m**5 - 10/11*m - 20/11*m**3 - 2/11 - 20/11*m**2 - 10/11*m**4 = 0.
-1
Suppose 0 = -5*m + t + 4, -m = -6*m - 2*t - 8. Let -3/4*v**3 - 1/4*v**4 + 0 + v + m*v**2 = 0. Calculate v.
-2, 0, 1
Let d(b) = b**2 - b - 3 + 2 + 2*b. Suppose -10 = -p - p. Let g(z) = -6*z**2 - 4*z + 5. Let c(q) = p*d(q) + g(q). Find y, given that c(y) = 0.
0, 1
Find c, given that 0*c - 1/2*c**4 + 1/4*c**5 + 0 + 1/4*c**3 + 0*c**2 = 0.
0, 1
Let j = 0 - -2. Suppose f**2 + f**2 + f**3 - 5*f**2 - 1 + 5*f - j*f = 0. Calculate f.
1
Let k = -405970/3783 + -24/1261. Let p = 1631/15 + k. Factor -9/5*f**2 + f**3 - f + 2/5 + p*f**4.
(f - 1)*(f + 1)**2*(7*f - 2)/5
Let n(s) be the second derivative of -1/720*s**6 + 1/2*s**3 + 1/48*s**4 + 0*s**5 + 0 + 0*s**2 + s. Let y(w) be the second derivative of n(w). Factor y(j).
-(j - 1)*(j + 1)/2
Let u be 3/119 + (-936)/(-153) + -6. What is j in 1/7*j + 0 + u*j**2 = 0?
-1, 0
Let t(v) = -3*v**3 - 2*v - 2. Let s(j) = -19*j**3 + j**2 - 13*j - 13. Let b(y) = 6*s(y) - 39*t(y). Factor b(d).
3*d**2*(d + 2)
Let u(y) be the third derivative of -y**5/270 + y**3/27 + 33*y**2. Factor u(t).
-2*(t - 1)*(t + 1)/9
Let z(c) be the third derivative of -2*c**7/21 - 9*c**6/10 - 8*c**5/3 - 2*c**4 - 2*c**2 + 1. Determine b so that z(b) = 0.
-3, -2, -2/5, 0
Let n(t) = 7*t**4 + 8*t**3 + 29*t**2 + 22*t + 12. Let j(h) = h**4 + h**2 - h. Let o(v) = -6*j(v) + n(v). Factor o(g).
(g + 1)*(g + 2)**2*(g + 3)
Let h be ((-8)/(-16)*(0 + 0))/(-1). Factor 0*c + h + 1/5*c**2.
c**2/5
Let m(a) be the second derivative of -a**6/15 - 3*a**5/10 - a**4/2 - a**3/3 + 9*a. Factor m(w).
-2*w*(w + 1)**3
Let j(q) be the second derivative of -5*q**4/36 - 25*q**3/18 + 24*q. Factor j(l).
-5*l*(l + 5)/3
Let w(c) = 2*c**3 - 8*c**2 + c - 5. Suppose 0*y + 2 = y. Let s(d) = -d**3 + 4*d**2 - d + 2. Let u(x) = y*w(x) + 5*s(x). Suppose u(q) = 0. Calculate q.
0, 1, 3
Let g(i) = i**3 - 2*i**2 - 5*i - 9. Let m be g(4). Let 6/5*a**2 + 2/5*a**m + 2/5 + 6/5*a = 0. What is a?
-1
Let j(x) be the second derivative of 0*x**2 - 1/24*x**4 + 1/4*x**3 + 0 + 2*x. Factor j(k).
-k*(k - 3)/2
Suppose 0 = -5*n + 4 + 6. Let w(s) be the second derivative of 0 + 1/6*s**3 - 1/10*s**5 + 0*s**n + 1/12*s**4 + 3*s. Solve w(u) = 0 for u.
-1/2, 0, 1
Let g(y) be the first derivative of y**3/3 + 4*y**2 - 6*y - 2. Let m be g(-9). Factor -9*n**3 + 5*n**2 + n**2 + 13*n**m - 2.
2*(n + 1)**2*(2*n - 1)
Let r = 12277/36 + -341. Let v(b) be the third derivative of 0*b**3 + 0*b + 0 + 1/252*b**8 - 2*b**2 + 1/18*b**5 + 1/20*b**6 + 1/45*b**7 + r*b**4. Factor v(t).
2*t*(t + 1)**3*(2*t + 1)/3
Let v(l) be the first derivative of l**6/57 - 12*l**5/95 + 13*l**4/38 - 8*l**3/19 + 4*l**2/19 - 38. Factor v(a).
2*a*(a - 2)**2*(a - 1)**2/19
Let h(x) be the first derivative of -x**3/12 - x**2/4 - x/4 + 5. Factor h(f).
-(f + 1)**2/4
Suppose 3*x = 5*z - 29, 5*z = x - 12 + 35. Suppose 3*f + f = 12. Factor -z*h**3 + 2*h + h**3 + h**f.
-2*h*(h - 1)*(h + 1)
What is j in -32/23 + 16/23*j - 2/23*j**2 = 0?
4
Let n(r) be the third derivative of 0 + 0*r**3 + 0*r - 1/105*r**5 + r**2 + 0*r**4 - 1/420*r**6. Factor n(p).
-2*p**2*(p + 2)/7
Let o be 12/4 + (-5 - -2). Let d(a) be the second derivative of -2*a - 1/12*a**4 + 1/3*a**3 - 1/2*a**2 + o. Factor d(w).
-(w - 1)**2
Let s(a) be the third derivative of a**6/600 + a**5/300 - a**4/20 + 2*a**2 + 2. Factor s(z).
z*(z - 2)*(z + 3)/5
Let w(q) = -2*q - 4. Let c be w(-4). Let 2*l + 3 - 3 + 2*l**4 - 2*l**5 - 4*l**3 + 4*l**5 - c*l**2 + 2 = 0. Calculate l.
-1, 1
Let p be 1 - ((-80)/37)/(-2). Let s = p - -83/111. Find c, given that 0 - s*c**2 - 4/3*c = 0.
-2, 0
Let k(y) be the first derivative of -y**4/12 + 2*y**