+ 1)/5
Let k be (-18)/4*-2 - 0. Let w(f) = -2*f**2 + 6. Let i(j) = -2*j**2 - 1 - 12 + j + 7*j**2. Let n(h) = k*w(h) + 4*i(h). Factor n(g).
2*(g + 1)**2
Let b = -133 + 138. Let j(i) be the third derivative of 0*i**3 + 0*i**4 - 1/300*i**6 - i**2 + 0*i + 1/300*i**b + 0 + 1/1050*i**7. Let j(l) = 0. What is l?
0, 1
Factor -2/11*l**2 + 2/11*l + 0.
-2*l*(l - 1)/11
Let d(y) = 7*y**5 + 3*y**4 - 3*y**3 - 3*y**2 - 2*y. Let x(o) = -36*o**5 - 14*o**4 + 14*o**3 + 14*o**2 + 11*o. Let k(w) = -11*d(w) - 2*x(w). Solve k(h) = 0.
-1, 0, 1
Determine r so that 30 + 2*r - 4*r**2 - 56 + 30 - 2*r**3 = 0.
-2, -1, 1
Let s(a) be the third derivative of -3*a**2 - 2/33*a**3 - 1/44*a**4 + 0 - 1/330*a**5 + 0*a. Factor s(d).
-2*(d + 1)*(d + 2)/11
Let q(k) be the third derivative of -k**9/15120 + k**7/2520 + 5*k**4/12 - 7*k**2. Let d(t) be the second derivative of q(t). Factor d(r).
-r**2*(r - 1)*(r + 1)
Let y(w) = w**2. Let f(c) = 5*c**2 + 2*c - 1. Let o(l) = f(l) - 6*y(l). Factor o(q).
-(q - 1)**2
Let q(d) = d**2 + 6 + 3*d - 2 - 2*d**2. Let x be q(4). Factor 0 + x*i + 2/9*i**4 - 4/9*i**5 + 2/9*i**3 + 0*i**2.
-2*i**3*(i - 1)*(2*i + 1)/9
Let d(y) be the second derivative of y**9/68040 + y**8/30240 - y**4/3 - 3*y. Let h(z) be the third derivative of d(z). Factor h(f).
2*f**3*(f + 1)/9
Let d(f) = -f**2 - 5*f + 2. Let h be d(-5). Let u be 1 + h*(-3)/18. Solve 0 + 2/3*c**3 + 0*c + u*c**2 = 0 for c.
-1, 0
Let p(d) = -3*d - 3. Let z(o) = -o**2 + 24*o + 25. Let x(k) = -51*p(k) - 6*z(k). Factor x(s).
3*(s + 1)*(2*s + 1)
Factor -6/7*o + 6/7*o**2 - 2/7*o**3 + 2/7.
-2*(o - 1)**3/7
Let t be 2/(2 + 240/(-123)). Let p = -37 + t. Let 2*o**p - 18/5*o**3 + 6/5*o + 4/5 - 14/5*o**2 + 12/5*o**5 = 0. Calculate o.
-1, -1/2, 2/3, 1
Let n(r) be the third derivative of -r**7/70 - r**6/40 + r**5/20 + r**4/8 + 2*r**2. Find l, given that n(l) = 0.
-1, 0, 1
Let f(l) be the third derivative of 0*l**3 + 0 + 1/24*l**4 + 1/60*l**5 + 0*l + 2*l**2. Factor f(a).
a*(a + 1)
Let x(g) = 4*g**4 - 32*g**3 + 18*g**2 + 8*g - 10. Let w(f) = 13*f**4 - 95*f**3 + 54*f**2 + 23*f - 29. Let i(k) = 6*w(k) - 17*x(k). Factor i(b).
2*(b - 1)**3*(5*b + 2)
Let o = 755/3 + -251. Let -10/3*p**2 + 0 - 8/3*p**3 - o*p**4 - 4/3*p = 0. Calculate p.
-2, -1, 0
Let c = 647 + -644. Factor -l**4 - 2*l**c - 1/5 - 1/5*l**5 - l - 2*l**2.
-(l + 1)**5/5
Let i = -3 - -5. Factor w - 3*w**i + w**2 - w - 2*w.
-2*w*(w + 1)
Let k(c) be the first derivative of -2*c**5/5 + c**4 - 2*c**2 + 2*c + 10. Solve k(n) = 0 for n.
-1, 1
Let m(a) be the third derivative of a**8/588 - 2*a**7/735 - a**2. Determine u so that m(u) = 0.
0, 1
Let w(m) be the second derivative of -m**5/70 + m**3/21 + 6*m. Factor w(d).
-2*d*(d - 1)*(d + 1)/7
Suppose -9 = 2*z - 15. Let d(m) be the second derivative of 0*m**2 + 0 - 1/20*m**5 + 0*m**z + 0*m**4 - 3*m. Let d(f) = 0. What is f?
0
Let h = -41/84 - -4/7. Let s(u) be the third derivative of -1/15*u**5 + 0*u**4 + 0*u**3 + 3*u**2 + 0*u - h*u**6 + 0. Solve s(m) = 0.
-2/5, 0
Let j(p) = -p**3 + p**2 - p - 1. Let u(z) = -4*z**4 - 28*z**3 - 44*z**2 - 36*z - 4. Let y(m) = 4*j(m) - u(m). Factor y(o).
4*o*(o + 2)**3
Let i(u) be the first derivative of 3 + 0*u - 1/9*u**3 + 0*u**2. Determine y so that i(y) = 0.
0
Let o(k) = -k + 7. Let j be o(9). Let l be (5 + -4 - j) + 1. Factor 2/3*n**2 + 0 + 0*n**3 - 2/3*n**l + 0*n.
-2*n**2*(n - 1)*(n + 1)/3
Factor 27*s**2 + 7*s**3 - 27*s**3 - 2*s**4 + 6*s**4 - 3*s**2.
4*s**2*(s - 3)*(s - 2)
Let r(j) = -j**2 - 3*j**3 - 1 + 2*j**3 + 0*j**2 + 2*j**2. Suppose 4*w = -0*w - 16. Let h(i) = -6*i**3 + 2*i**2 + 2*i - 2. Let y(x) = w*r(x) + h(x). Factor y(c).
-2*(c - 1)*(c + 1)**2
Determine w, given that -3*w**2 + 4*w**3 + w**4 + 2*w**3 - 6*w + 5*w**4 - 3*w**4 = 0.
-2, -1, 0, 1
Factor 4*n**4 - 156*n**2 - 8*n**4 - 4*n**3 + 156*n**2.
-4*n**3*(n + 1)
Let -90*c - 5*c**3 - 78*c**3 - 28*c**3 - 195*c**2 - 15*c**4 + 11*c**3 = 0. Calculate c.
-3, -2/3, 0
Let i be 2/(-5 + (6 - 2)). Let x be 2*((-32)/20 - i). Factor -x - 8/5*h**2 - 14/5*h + 8/5*h**3.
2*(h - 2)*(2*h + 1)**2/5
Let g be (-10)/(-25) - 8/(-5). Suppose -9 = -g*i - i. Find s, given that s**i - 3*s + 2*s + 0*s**3 = 0.
-1, 0, 1
Factor 0*d**2 + 4*d**3 + d**2 + 5*d**4 - 6*d**4 - 9*d + 5*d.
-d*(d - 4)*(d - 1)*(d + 1)
Factor 15*u**3 + 12*u**3 + 15*u**2 - 7*u**3 - 11*u**2 + 8*u**4 - 8*u.
4*u*(u + 1)*(u + 2)*(2*u - 1)
Let i be 2/(-7) + 32/14. Let v be (-3)/2*(1 - 3). Suppose -w - w + 3*w + v*w**i = 0. What is w?
-1/3, 0
Let r be 72/54*30/16. Suppose -4*u + r*u**2 + 2 - 1/2*u**3 = 0. Calculate u.
1, 2
Let m(c) be the first derivative of -c**6/27 - 8*c**5/15 - 19*c**4/6 - 268*c**3/27 - 52*c**2/3 - 16*c + 31. Determine p so that m(p) = 0.
-3, -2
Suppose -3*q = t - 3, -8 = 2*q + 3*t - 3. Factor -1/2*h**q - h - 1/2.
-(h + 1)**2/2
Let n(s) = -s - 5. Let o be n(-7). Factor 2*a**3 + 0*a**o + 3*a**2 + 0*a**2 - a**2.
2*a**2*(a + 1)
Let c be 1/(-2)*1*0. Let v(h) be the third derivative of 2*h**2 + c*h + 7/300*h**6 + 1/25*h**5 + 0 - 1/60*h**4 - 2/15*h**3 + 2/525*h**7. What is j in v(j) = 0?
-2, -1, 1/2
Let x(o) be the third derivative of o**6/360 + o**5/30 + o**4/8 - 7*o**2. Suppose x(t) = 0. What is t?
-3, 0
Let y(x) be the first derivative of -x**6/90 - x**5/30 - 7*x**3/3 + 1. Let r(m) be the third derivative of y(m). Factor r(q).
-4*q*(q + 1)
Let m(l) be the first derivative of 0*l + 1/6*l**2 - 1/12*l**4 + 0*l**3 + 1. Factor m(d).
-d*(d - 1)*(d + 1)/3
Let v(q) = 0*q**2 - q**4 + 26*q + 5*q**4 - 24*q - 6*q**2. Let n(j) = -4*j**4 + 7*j**2 - 3*j. Let i(k) = 6*n(k) + 5*v(k). Let i(y) = 0. What is y?
-2, 0, 1
Suppose -a = -2*a + 2*k, -2*k = 4*a. Suppose a = -i - 4*i. Solve i*l + 1/3*l**2 - 1/3 = 0.
-1, 1
Let j be 0/(3/(-6) - (-5)/(-10)). Let i(r) be the third derivative of 0*r**4 - 1/240*r**6 + 0*r**5 + 3*r**2 + 0 + j*r**3 + 1/420*r**7 + 0*r. Solve i(l) = 0.
0, 1
Factor -8/5*w**2 + 14/5*w + 4/5.
-2*(w - 2)*(4*w + 1)/5
Find q, given that -430*q**3 - 3*q + 214*q**3 + 2*q**2 + 217*q**3 = 0.
-3, 0, 1
Let d(f) be the first derivative of f**7/420 - f**6/180 - f**5/60 + f**4/12 + f**3 - 1. Let r(t) be the third derivative of d(t). Find g such that r(g) = 0.
-1, 1
Let p(n) be the first derivative of n**5/390 - n**4/52 - 3*n**2/2 - 1. Let o(i) be the second derivative of p(i). Find h, given that o(h) = 0.
0, 3
Let j be 16 - 4*(-2 - -3). Let a be (3/(-10))/(j/(-16)). Factor 0 + 2/5*s**2 - 2/5*s**4 - 2/5*s + a*s**3.
-2*s*(s - 1)**2*(s + 1)/5
Let x(f) = -2*f + 6. Let m be x(3). Let y(q) be the second derivative of 0 + m*q**2 + 1/75*q**6 - q + 1/50*q**5 + 0*q**4 + 0*q**3. Factor y(l).
2*l**3*(l + 1)/5
Let x(v) be the third derivative of -v**6/8 + 13*v**5/20 - v**4/2 - 2*v**3 - 8*v**2. Factor x(g).
-3*(g - 2)*(g - 1)*(5*g + 2)
Let p(w) = 5*w**4 + 13*w**3 - 9*w**2 - 23*w + 5. Let y(x) = -x**2 - x - 1. Let g(d) = -p(d) + 3*y(d). Let g(l) = 0. Calculate l.
-2, 2/5, 1
Let 4/7 + 2/7*m - 2/7*m**2 = 0. Calculate m.
-1, 2
Suppose -15 = -4*q - 4*u - u, -4*u + 12 = 0. Factor 6/5*h**2 + 2/5*h**4 - 2/5*h + q - 6/5*h**3.
2*h*(h - 1)**3/5
Let g(v) be the first derivative of -1/6*v**3 - v + 0*v**2 + 1/20*v**5 - 1/12*v**4 + 1/30*v**6 + 2. Let f(m) be the first derivative of g(m). Solve f(u) = 0.
-1, 0, 1
Let d(m) be the first derivative of 7*m**6/3 - 12*m**5 + 29*m**4/2 + 44*m**3/3 - 36*m**2 + 16*m - 7. What is p in d(p) = 0?
-1, 2/7, 1, 2
Let l = 4 + -6. Let h be (l/3)/(-2)*9. Factor -m**3 - h*m**5 + 4*m**5 + 0*m**3.
m**3*(m - 1)*(m + 1)
Let x(d) = d**3 + 1. Suppose -2*b + 0 + 2 = 0. Let r(i) be the first derivative of 3*i**4/4 - i**3/3 + 4*i - 1. Let f(w) = b*r(w) - 4*x(w). Factor f(u).
-u**2*(u + 1)
Let g be (1*-1)/((-8)/40). Let d(q) = 3*q**2 - 2*q - 1. Let f(p) = -6*p**2 + 5*p + 1. Let o(y) = g*d(y) + 2*f(y). Factor o(w).
3*(w - 1)*(w + 1)
Let k(d) = -d**3 - 2*d**2 - d. Let l be k(-2). Factor -6*h**2 - 3*h**2 + l*h + 0*h + h**3 + 6*h**2.
h*(h - 2)*(h - 1)
Let c(j) = j**2 - j. Suppose -s + 6 = 2*s. Let k be c(s). Find p such that 5*p**k - 4*p**2 - 5*p**2 + 10*p - 4 = 0.
1/2, 2
Let z be (3/12)/((-6)/(-16)). Factor z*i**4 + 0*i**2 + 1/3*i**5 + 0*i + 0 + 1/3*i**3.
i**3*(i + 1)**2/3
Let h(y) be the first derivative of -2/33*y**3 + 2/11*y + 4 + 2/11*y**2 - 1/11*y**4. Determine t, given that h(t) = 0.
-1, -1/2, 1
Let v(w) be the third derivative of w**8/112 + w**7/40 + w**6/80 - w**5/80 - 4*w**2. Let v(j) = 0. What is j?