g + 9)/5
Let d = -16 + 20. Let p = 646/489 - -2/163. Factor -2/3*s - 4/3*s**2 + 2/3*s**5 + 0*s**3 + 0 + p*s**d.
2*s*(s - 1)*(s + 1)**3/3
Let j(o) be the third derivative of -o**7/8820 - o**6/840 - o**4/12 + 2*o**2. Let i(x) be the second derivative of j(x). Factor i(m).
-2*m*(m + 3)/7
Suppose -7*i = -0*i. Let r(c) be the third derivative of 0*c + 0 - 2*c**2 + 0*c**3 - 1/480*c**6 + i*c**4 - 1/120*c**5. Find k such that r(k) = 0.
-2, 0
Let s = 79/2 - 39. Factor 0*i + s*i**2 - 1/2.
(i - 1)*(i + 1)/2
Let h(j) = -j**2 - j + 3. Let b be h(0). Suppose 4*x = 3*v + 21, -b*x = 2*v + 2*v + 3. Factor -7*k**4 + 5*k**2 - 12*k**x - 4*k**4 + 4 + 12*k + 2*k**4.
-(k - 1)*(k + 1)*(3*k + 2)**2
Let w(a) = -a**3 + a**2 + a. Let i be w(0). Let p = 0 - i. Determine l, given that 0 + p + 2*l - 2*l**3 = 0.
-1, 0, 1
Let z(j) = -j**2 - 7*j + 4. Let k be z(-7). Let o(h) be the second derivative of 2/3*h**2 + h + 0 - 1/18*h**k - 1/9*h**3. Factor o(x).
-2*(x - 1)*(x + 2)/3
Let v(z) = z**3 + 4*z**2 + 9*z + 12. Let b be v(-2). Factor 0*w**3 + 0*w + 0 - 1/4*w**4 + 0*w**b.
-w**4/4
Factor 8/3*p**2 - 4*p**3 - 2/3*p + 0 + 8/3*p**4 - 2/3*p**5.
-2*p*(p - 1)**4/3
Let c(f) = 2*f**4 - f**3 - 3*f**2 - 3. Let k(d) = d**4 - d**3 - 2*d**2 - 2. Let u(s) = 2*c(s) - 3*k(s). Let u(j) = 0. Calculate j.
-1, 0
Let u(g) be the first derivative of g**6/3 + 8*g**5/5 + 5*g**4/2 + 4*g**3/3 + 16. Factor u(v).
2*v**2*(v + 1)**2*(v + 2)
Let b(g) be the first derivative of 3*g**4/28 + g**3/7 - 3*g**2/14 - 3*g/7 - 8. Suppose b(l) = 0. What is l?
-1, 1
Let y(m) = -2*m**2 + 10*m - 6. Let q be y(6). Let i be (q/12)/(1/(-2)). Factor -j**2 - 5*j**4 - j**3 + i*j**4 + 2*j**2.
-j**2*(j + 1)*(2*j - 1)
Factor 234*k**3 - 476*k**3 + 75*k + 70*k**2 + 237*k**3.
-5*k*(k - 15)*(k + 1)
Factor -15*a**2 + 0*a**3 + 20*a - 15/2 + 5/2*a**4.
5*(a - 1)**3*(a + 3)/2
Solve -3/4 + y - 1/4*y**2 = 0 for y.
1, 3
Let o(l) = 2*l**2 + 4*l - 68. Let c be o(5). Factor 2/5*r**3 + 4/5*r**c + 0*r + 0.
2*r**2*(r + 2)/5
Let a(g) be the third derivative of g**5/15 - g**4/6 - 4*g**3/3 + g**2. Factor a(d).
4*(d - 2)*(d + 1)
Let r(o) be the third derivative of -o**8/336 + o**7/210 + o**6/60 - o**5/30 - o**4/24 + o**3/6 - 9*o**2. Suppose r(m) = 0. What is m?
-1, 1
Let y(l) = -2*l**3 - 6*l**2 + 24*l - 30. Let z(k) = -3*k**3 - 13*k**2 + 49*k - 59. Let u = -13 - -10. Let g(n) = u*z(n) + 5*y(n). Factor g(x).
-(x - 3)**3
Let g(k) be the first derivative of k**4/30 + 2*k**3/15 + k**2/5 - k + 1. Let u(d) be the first derivative of g(d). Factor u(r).
2*(r + 1)**2/5
Let i be (-9)/3*34/(-6). Find m such that -5*m + i*m + 4 - 4*m**3 + 3 + 1 = 0.
-1, 2
Let d = -68 - -208/3. Suppose -9*t + 36 = -0*t. Solve d*m**t + 0*m**2 + 0 + 0*m + 0*m**3 + 2/3*m**5 = 0.
-2, 0
Let z(y) be the second derivative of 1/4*y**2 + 1/80*y**5 - 1/24*y**3 + 4*y + 0 - 1/24*y**4. Find g, given that z(g) = 0.
-1, 1, 2
Find d such that -2/3*d**2 + 2/3*d**3 + 0 - 4/3*d = 0.
-1, 0, 2
Let m be ((-1*4)/(-4))/((-5)/(-10)). Suppose -2/5*o**m + 0 - 2/5*o**3 + 4/5*o = 0. What is o?
-2, 0, 1
Let i(r) be the third derivative of -7/10*r**5 + 0 - 4/3*r**3 - r**2 + 5/21*r**7 + 0*r - 5/3*r**4 + 1/3*r**6. Find y such that i(y) = 0.
-1, -2/5, 1
Let u be (-463)/(-2) - (-3 - -2). Let s = -225 + u. Factor -2 + 6*i + 2*i**3 + s*i**2.
(i + 2)**2*(4*i - 1)/2
Let w = 7 - 5. Factor 6/11*f**w - 8/11*f + 2/11.
2*(f - 1)*(3*f - 1)/11
Let q(f) be the second derivative of 0 - 2*f**3 - 5*f - 1/3*f**4 - 4*f**2. Factor q(o).
-4*(o + 1)*(o + 2)
Let c = -11 - -12. Factor -3*m**5 + 2*m**2 + 2*m**3 + c + 4*m**5 - 3*m**4 - 3*m + 0*m**5.
(m - 1)**4*(m + 1)
Let n(r) = -r**3 + 7*r**2 + 10*r - 1. Let i(w) = w**3 - 8*w**2 - 11*w. Let b(l) = -5*i(l) - 6*n(l). Solve b(v) = 0 for v.
-2, 1, 3
Let s be (-1 - (-12)/9)*(7 + 2). Let u(n) be the second derivative of -1/3*n**s + 1/63*n**7 + 1/15*n**5 - 1/3*n**2 + 0 - n - 1/9*n**4 + 1/15*n**6. Factor u(i).
2*(i - 1)*(i + 1)**4/3
Let l(b) be the second derivative of -b**4/12 + 2*b**3/3 + 2*b**2 - b. Let k be l(4). Suppose a**k + 0*a**4 + 0*a**4 - 3*a**4 + 2*a**2 = 0. Calculate a.
-1, 0, 1
Let u(m) = m**3 + m**2 + 1. Let z(j) = 3*j**3 + 35*j**2 + 363*j + 1333. Let c(b) = 2*u(b) - z(b). Suppose c(d) = 0. What is d?
-11
Let q(d) be the third derivative of -d**5/210 + d**3/21 + 15*d**2. Factor q(r).
-2*(r - 1)*(r + 1)/7
Let h(m) be the first derivative of 2/27*m**3 + 2 - 1/3*m**2 + 4/9*m. Suppose h(g) = 0. Calculate g.
1, 2
Let s(p) be the third derivative of -p**6/660 + 2*p**5/33 - 25*p**4/33 - 2*p**2 - 19. Factor s(d).
-2*d*(d - 10)**2/11
Let u(b) be the second derivative of b**4/3 + 4*b**3/3 - 6*b**2 + 7*b. Find w such that u(w) = 0.
-3, 1
Suppose 4*b = -42 + 58. Factor -4/9*x**3 + 2/9*x**5 + 2/9*x**b + 2/9 + 2/9*x - 4/9*x**2.
2*(x - 1)**2*(x + 1)**3/9
Let o(a) = 6*a**4 + 3*a**3 + a**2 - 5*a. Let v = -7 + 5. Let c(x) = x**4 + x**3 - x. Let d(k) = v*o(k) + 10*c(k). Suppose d(f) = 0. Calculate f.
0, 1
Suppose 0 = 5*q + 11*q. Factor q*g**2 + 1/5*g**3 + 0 - 1/5*g.
g*(g - 1)*(g + 1)/5
Find c such that 1/3*c**4 + 1/3*c**5 - 1/3*c**3 + 0*c - 1/3*c**2 + 0 = 0.
-1, 0, 1
Factor -9/5*x**2 + 3/5*x**4 + 3/5*x**3 + 6/5 - 3/5*x.
3*(x - 1)**2*(x + 1)*(x + 2)/5
Let i be ((-4)/(-6))/((-8)/12). Let u be 3*1/2 + i. Factor -k + 1/2*k**2 + u.
(k - 1)**2/2
Let n(c) be the first derivative of c**6/1980 + c**5/165 + c**4/44 + 5*c**3/3 - 1. Let q(i) be the third derivative of n(i). Factor q(f).
2*(f + 1)*(f + 3)/11
Let f be 1/5 - 20/(-25). Suppose 0 = m - v - f, m = 3*v - 2 + 1. Find w, given that w**4 - 2*w**2 + 2*w - 2*w + m*w**3 + 3*w**2 = 0.
-1, 0
Let u(t) be the first derivative of -t**6/120 + t**5/30 - 7*t**2/2 - 1. Let y(s) be the second derivative of u(s). What is x in y(x) = 0?
0, 2
Suppose -2/13*z**3 + 4/13*z - 2/13*z**2 + 0 = 0. What is z?
-2, 0, 1
Let m(o) be the third derivative of -o**5/60 - o**4/8 - o**3/3 + 61*o**2. Suppose m(k) = 0. What is k?
-2, -1
Let d(y) = 4*y**4 - 3*y**3 - 6*y**2 - 5. Let g be 10*((-7)/(-2) + -3). Let s(u) = -u**4 + u**3 + u**2 + 1. Let w(r) = g*s(r) + d(r). Factor w(q).
-q**2*(q - 1)**2
Let g(w) be the third derivative of w**2 + 1/12*w**3 + 0 + 1/20*w**5 + 0*w + 1/12*w**4 + 1/420*w**7 + 1/60*w**6. Factor g(n).
(n + 1)**4/2
Factor -26/3*g**3 + 0 - 4/3*g**4 - 6*g - 16*g**2.
-2*g*(g + 3)**2*(2*g + 1)/3
Let v be (-8)/(-16)*(0 - -4). Factor 4/3 - 2*g + 2/3*g**v.
2*(g - 2)*(g - 1)/3
Suppose -3*g + 0*g = -9. Let -f**2 - 3*f**g - 4*f + 4*f + 2*f**3 = 0. Calculate f.
-1, 0
Let x(i) be the first derivative of 3*i**4/4 + 5*i**3 + 6*i**2 - 15. Factor x(r).
3*r*(r + 1)*(r + 4)
Let a(n) be the first derivative of -7*n**5/10 - 19*n**4/8 - 5*n**3/2 - n**2/4 + n - 22. Factor a(b).
-(b + 1)**3*(7*b - 2)/2
Let -c + 1/4 - 5/4*c**2 = 0. Calculate c.
-1, 1/5
Let o(r) = -r**2 - 3*r + 4. Let k(t) = t**2 + 6*t + 1. Let z be k(-5). Let i be o(z). Factor 0*u**2 + 0*u + 1/3*u**4 + i + 1/3*u**3.
u**3*(u + 1)/3
Let n = -29/7 - -159/35. What is z in 0 - 8/5*z**2 - 2/5*z - 8/5*z**4 - n*z**5 - 12/5*z**3 = 0?
-1, 0
Suppose -5*z - z = 0. Suppose k + 3 + 1 = -2*w, z = -5*k - 20. Factor -2/5*r**2 + 2/5*r + w.
-2*r*(r - 1)/5
Let m(l) be the second derivative of -3*l - 1/4*l**4 + 0 + 2*l**3 - 9/2*l**2. Suppose m(b) = 0. Calculate b.
1, 3
Suppose 4 = 3*k - 8. Let x(l) be the third derivative of 3*l**2 + 0 + 0*l**3 + 1/210*l**5 + 0*l - 1/84*l**k. Determine z so that x(z) = 0.
0, 1
Factor -12/5*r**2 + 24/5 + 28/5*r - 12/5*r**3 + 4/5*r**4.
4*(r - 3)*(r - 2)*(r + 1)**2/5
Let l be (-6)/(-180) + 0/4. Let j(s) be the third derivative of 0*s + 0*s**3 + 1/6*s**4 + l*s**5 - 2*s**2 + 0. Factor j(x).
2*x*(x + 2)
Let a(w) be the first derivative of -1/15*w**3 - 2/5*w + 2 + 3/10*w**2. Solve a(z) = 0.
1, 2
Let u = 904 - 901. Factor 0*t + 56/3*t**4 - 2/3*t**u + 0 - 4/3*t**2.
2*t**2*(4*t + 1)*(7*t - 2)/3
Suppose 6/5*u + 9/5*u**2 + 0 + 3/5*u**3 = 0. Calculate u.
-2, -1, 0
Let 2/7*j**3 - 4/7*j**2 + 0 + 2/7*j = 0. What is j?
0, 1
Let z(g) = -2*g**4 - 14*g**3 - 10*g**2 + 2*g + 6. Let c(o) = -2*o**4 - 13*o**3 - 10*o**2 + o + 5. Let s(n) = 6*c(n) - 5*z(n). Find w such that s(w) = 0.
-2, -1, 0
Let b be 14/(-21) + (-476)/15. Let a = -32 - b. Let -2/5 + a*f**2 + 0*f = 0. What is f?
-1, 1
Let o(f) be the third derivative of -f**8/112 - f**7/70 + f**6/40 + f**5/20 - 11*f**2. Determine s so that o(s) = 0.
-1, 0, 1
Let g(n) be the second deriva