3 + 13*j**3 - 17*j**2 + 4*j + 3*j**2 + w*j**3.
2*j*(j - 1)*(5*j - 2)
Let i(j) be the first derivative of -j**6/3 + 122*j**5/45 - 74*j**4/9 + 32*j**3/3 - 32*j**2/9 - 32*j/9 + 8. Solve i(y) = 0 for y.
-2/9, 1, 2
Let s(z) = 1 - 2*z**2 + z**2 - 4 + 5*z. Let i be s(3). Suppose 2 - m**i - 3*m + 4*m**3 - 2*m**3 = 0. What is m?
-2, 1
Factor 4/7*n**2 - 16/7*n**3 + 0*n + 0.
-4*n**2*(4*n - 1)/7
Suppose 12 = 3*q + 3*h, q + 8 = 4*q + 4*h. Suppose 5*i - 7 = -5*k + 13, q = 5*i + k. What is a in -a - i - 1/4*a**2 = 0?
-2
Factor 0 + 6/11*m**2 + 0*m + 6/11*m**3.
6*m**2*(m + 1)/11
Factor 27/5 + 3/5*f**2 + 6*f.
3*(f + 1)*(f + 9)/5
Suppose -l + 3*d + 117 = -0*l, -4*l + 475 = -5*d. Let c be l/405*3/4. Factor 0 + c*f**5 + 2/3*f**3 + 2/3*f**4 + 0*f + 2/9*f**2.
2*f**2*(f + 1)**3/9
Let a(l) = 2*l - 1. Let t be a(4). Suppose -3 - t = -5*g. Factor 3*f**2 + 0*f + f**g + 1 + 2*f - 3*f**2.
(f + 1)**2
Let -3*w**2 + 5*w**3 + 8*w**3 - w**3 = 0. Calculate w.
0, 1/4
Let f be ((-221)/(-255))/(8/6). Let z = -2/5 + f. Factor -z*y + 0 - 1/4*y**4 + 1/4*y**3 + 1/4*y**2.
-y*(y - 1)**2*(y + 1)/4
Let t = 137/99 - 5/99. Find k, given that 49/3*k**3 - 7*k**2 - t - 8*k = 0.
-2/7, 1
Let y(w) be the second derivative of -w**6/20 + 3*w**5/8 - w**4 + w**3 - 12*w. Let y(m) = 0. Calculate m.
0, 1, 2
Let p(m) be the second derivative of m**6/195 - m**4/26 - 2*m**3/39 - 5*m. Suppose p(c) = 0. Calculate c.
-1, 0, 2
Let m(d) = 5 - 10*d**3 + 4*d - 21*d**2 + 17*d**2 + 7*d. Let r(j) = 11*j**3 + 5*j**2 - 10*j - 4. Let v(t) = 4*m(t) + 5*r(t). Let v(l) = 0. What is l?
-1, 0, 2/5
Let r(a) = -a**5 - a**3 - a**2 - 1. Let z(t) = 3*t**5 + t**4 + 5*t**3 + 3*t**2 + 4. Let w(f) = -4*r(f) - z(f). Find c, given that w(c) = 0.
-1, 0, 1
Let x(l) = -34*l**4 - 80*l**3 - 34*l**2 - 4*l - 2. Let f(s) = -137*s**4 - 320*s**3 - 136*s**2 - 16*s - 9. Let b(d) = -2*f(d) + 9*x(d). Factor b(o).
-2*o*(o + 2)*(4*o + 1)**2
Let w(t) = 2*t**2 + 2*t. Let r be w(-3). Let c = r + -7. Factor p**4 + 4*p**c - 3*p**5 + p + 6 - 2*p**2 - 5 - 2*p**3.
(p - 1)**2*(p + 1)**3
Let l be (-9)/(-6) - (3 - 3). Factor -h**3 - 1/2*h**5 + h**2 - 3/2*h**4 + 1/2 + l*h.
-(h - 1)*(h + 1)**4/2
Suppose j = -0 + 4. Suppose j*w - 18 = -2*t, -5*t + 3*w + 12 = 2*w. Factor l**3 + l**3 - 4*l**2 + t*l**4 - 2*l**5 + 1 + 0*l**4.
-(l - 1)**3*(l + 1)*(2*l + 1)
Let l be ((-4)/(-1))/(1/1). What is c in -2*c**2 - 2 + l*c**2 + 3*c**2 - c - 2*c = 0?
-2/5, 1
Let j(u) be the third derivative of 0*u**5 + 1/315*u**7 + 3*u**2 - 1/1008*u**8 + 0*u**3 + 0*u - 1/360*u**6 + 0*u**4 + 0. Let j(m) = 0. Calculate m.
0, 1
Factor 2 + 3*y + 16*y**2 - 18*y**2 - 4*y + y**3.
(y - 2)*(y - 1)*(y + 1)
Let y(v) = v - 4. Let q be y(9). Solve 30*w**5 + w - 30*w**4 + 12*w**2 - 11*w**3 + 3*w - 5*w**q = 0 for w.
-2/5, 0, 1
Let x(o) be the second derivative of -1/15*o**3 - 1/60*o**4 + 3*o - 1/10*o**2 + 0. Let x(w) = 0. Calculate w.
-1
Let p(s) = -s**2 - 1. Let x = -9 + 14. Let d(q) be the third derivative of q**5/10 + q**4/8 + 7*q**3/6 + 2*q**2. Let n(c) = x*p(c) + d(c). Factor n(o).
(o + 1)*(o + 2)
Let -2/3*b**2 + 2/3*b**4 + 0*b + 2/3*b**3 - 2/3*b**5 + 0 = 0. Calculate b.
-1, 0, 1
Let l(r) = 17*r**3 + 30*r**2 + 13*r. Let q(y) = -9*y**3 - 15*y**2 - 6*y. Let f(t) = 3*l(t) + 7*q(t). Let f(g) = 0. What is g?
-1, -1/4, 0
Let a(x) be the second derivative of -1/20*x**5 + 3*x + 1/2*x**2 - 1/2*x**3 + 1/4*x**4 + 0. What is i in a(i) = 0?
1
Let f(k) = 2*k**2 + k - 1. Let u be f(1). What is l in -8*l**4 + 16*l**3 + 9*l - 14*l**2 - 2*l - 3*l + u*l**4 = 0?
0, 2/3, 1
Let a(v) = 2*v + 3. Let j be a(0). Factor 3/5*s**2 + 3/5*s**5 + 0 - 3/5*s**j + 0*s - 3/5*s**4.
3*s**2*(s - 1)**2*(s + 1)/5
Find p, given that -49*p**2 + 14*p**4 + 39*p**2 - 5*p + 5*p**5 - 4*p**4 = 0.
-1, 0, 1
Let j(x) be the first derivative of 0*x**2 - 2/45*x**3 - 6 + 2/15*x. Let j(f) = 0. Calculate f.
-1, 1
Let i be ((-9)/12)/((-1)/12). Let p = i + -5. Factor -1/4*c - 3/4*c**3 + 3/4*c**2 + 0 + 1/4*c**p.
c*(c - 1)**3/4
Let m(v) be the first derivative of v**4/14 - 3*v**2/7 + 4*v/7 + 7. Determine n, given that m(n) = 0.
-2, 1
Suppose -3 = -6*f + 9. What is a in -3*a**2 - 5*a**2 - 6*a + 2*a**f + 3*a**2 = 0?
-2, 0
Let m(x) be the second derivative of -2*x**7/21 + 2*x**6/3 - 7*x**5/5 + x**4 + 19*x. Solve m(c) = 0.
0, 1, 3
Let h be (-20)/50 - 24/(-35). Suppose 2/7*c**4 - 2/7*c + 0 + h*c**3 - 2/7*c**2 = 0. What is c?
-1, 0, 1
Let 11*h - 5*h + 2*h**2 - 2*h**2 - 3*h**2 = 0. Calculate h.
0, 2
Let p(d) be the third derivative of -d**6/60 - d**5/6 - 2*d**4/3 - 4*d**3/3 + d**2. Solve p(a) = 0.
-2, -1
Suppose -2*f - 5*k = 2*f - 2, -3*k = 6. Let a be (2/3)/(1/f). Determine y so that -1 + 63/4*y**a - 49*y**3 + 3*y = 0.
-1/4, 2/7
Let d(t) be the third derivative of -11*t**6/60 + 31*t**5/30 - 4*t**4/3 - 4*t**3/3 - 5*t**2. Factor d(r).
-2*(r - 2)*(r - 1)*(11*r + 2)
Let m be 87/9 - (-10)/(-15). Let v be 3*(-3)/m + 31. Factor -6*w - 2/5 - v*w**2 - 50*w**3.
-2*(5*w + 1)**3/5
Factor -4/15*j + 0*j**2 - 2/15*j**4 + 2/15 + 4/15*j**3.
-2*(j - 1)**3*(j + 1)/15
Let r be 2/1*24/16. Let s(c) be the first derivative of -32/15*c**r + 17/5*c**4 - 2 - 52/25*c**5 + 4/5*c + 7/15*c**6 - 1/5*c**2. Factor s(i).
2*(i - 1)**4*(7*i + 2)/5
Suppose -16 = -4*x, 5*k - 2*x - 12 = k. Find s, given that -4/15*s**3 + 2/5*s + 2/15 - 2/15*s**k - 2/5*s**4 + 4/15*s**2 = 0.
-1, 1
Let b(d) be the second derivative of -d**6/90 + d**5/60 + d**4/12 - d**3/18 - d**2/3 + 21*d. Factor b(y).
-(y - 2)*(y - 1)*(y + 1)**2/3
Let u(i) be the second derivative of -3*i**5/80 - i**4/4 + 7*i**3/8 + 15*i**2/4 + 34*i. Let u(g) = 0. What is g?
-5, -1, 2
Let k(b) be the first derivative of b**6/240 - b**2/2 - 1. Let a(q) be the second derivative of k(q). Find x, given that a(x) = 0.
0
Let m = 198 + -198. Let i = -2/3 - -1. Find o such that i*o**2 + m + o = 0.
-3, 0
Determine i, given that 0 - 24/5*i**2 + 4/5*i = 0.
0, 1/6
Let b be (16/20)/(2/(-10)). Let p be (b/((-8)/(-6)))/(-2). Factor -1/2*r**4 - p*r**2 + 1/2*r + 0 + 3/2*r**3.
-r*(r - 1)**3/2
Let f(i) be the second derivative of -1/21*i**3 - i - 1/70*i**5 - 1/2*i**2 + 0 + 1/28*i**4 + 1/420*i**6. Let r(c) be the first derivative of f(c). Factor r(m).
2*(m - 1)**3/7
Suppose -2/7*a**2 + 0 + 6/7*a = 0. Calculate a.
0, 3
Let d be 3/(-2 - 1) + 6. Find c such that -c**d - 2*c - c**4 - 2*c + 5*c**3 + c**2 - 2*c**5 + 2*c = 0.
-1, 0, 2/3, 1
Let r = 2 + 2. Let w**3 + 7 - 7 - r*w**3 = 0. What is w?
0
Let w = 17 - 17. Let i(l) be the third derivative of -1/420*l**6 + 1/210*l**5 + 0*l + 1/84*l**4 + 0*l**3 + w - 1/735*l**7 + l**2. Factor i(k).
-2*k*(k - 1)*(k + 1)**2/7
Let z = 9 + -6. Factor -z - v**4 + 3 + 3*v**2 - 2*v**3 - 4 + 4*v.
-(v - 1)**2*(v + 2)**2
Let m = -25 - -29. Let t(v) be the first derivative of -7/16*v**m + 1/2*v - 3/20*v**5 - 1/4*v**3 - 1 + 3/8*v**2. Let t(q) = 0. What is q?
-1, 2/3
Let x(l) be the third derivative of -2*l**2 + 0*l - 1/60*l**5 + 0 - 1/4*l**4 - 3/2*l**3. Factor x(h).
-(h + 3)**2
Let l(j) = -16*j**2 - 16*j - 12. Let a(t) = -t**2 - t - 1. Let d be 121/99 - (-4)/(-18). Let b(p) = d*l(p) - 12*a(p). What is i in b(i) = 0?
-1, 0
Determine l so that 0 - 40/3*l**2 - 50/3*l**3 - 8/3*l = 0.
-2/5, 0
Let b(a) be the first derivative of -4*a**3/21 - 4*a**2 - 28*a + 49. Determine s, given that b(s) = 0.
-7
Let b(v) = v**3 - 3*v**2 + 2*v - 2. Let l be b(3). Let y(w) be the first derivative of -1/4*w**3 - 1/16*w**l + 1 - 1/4*w - 3/8*w**2. Let y(p) = 0. Calculate p.
-1
Let n(c) be the second derivative of 4/7*c**2 + 3/49*c**7 + 0 + 13/35*c**6 + 8/7*c**3 + 19/14*c**4 + 3*c + 67/70*c**5. Factor n(g).
2*(g + 1)**3*(3*g + 2)**2/7
Suppose -5*u + 20 = 3*t, 3*u - 2*t - 4 = 2*u. Factor 1/5 + 2/5*v**3 - 2/5*v**2 - 1/5*v - 1/5*v**5 + 1/5*v**u.
-(v - 1)**3*(v + 1)**2/5
Find o such that 0 + 4/11*o + 42/11*o**3 + 26/11*o**2 = 0.
-1/3, -2/7, 0
Let i(a) be the third derivative of 0*a - 2*a**2 + 0*a**7 + 0 - 1/36*a**4 + 0*a**3 + 0*a**5 - 1/504*a**8 + 1/90*a**6. Determine n so that i(n) = 0.
-1, 0, 1
Let h(r) = 2*r**2 - 2*r - 1. Let f be h(2). Suppose 0 = -2*u - t + 9 - 4, 4*t + 13 = f*u. What is y in 6/5*y**2 + 0 + 6/5*y**u + 2/5*y + 2/5*y**4 = 0?
-1, 0
Suppose -j + 12 = 3*j. Suppose -5 = -j*m + 1. Factor -18*p - m - p**2 + 18*p + 3*p**2.
2*(p - 1)*(p + 1)
Let r(s) be the first derivative of s**3/2 - 6*s**2 + 24*s - 18. Factor r(j).
3*(j - 4)**2/2
Let p(y) = y**3 - y. Let t(v) = v**3 - 2*v