lve h(k) = 0.
-1, 2/5
Let m(s) = -7*s**4 + 4*s**3 + 3*s. Let o(w) = 8*w**4 - 5*w**3 - 4*w + 0*w**3 - 4*w**2 + 5*w**2. Let j(a) = 6*m(a) + 5*o(a). What is k in j(k) = 0?
-2, 0, 1/2, 1
Let m(i) = -3*i**3 - 18*i**2 - 31*i - 29. Let q(c) = 3*c**3 + 18*c**2 + 30*c + 30. Let g(y) = 6*m(y) + 5*q(y). Factor g(a).
-3*(a + 2)**3
Let k(q) be the second derivative of 1/255*q**6 + 0 + 0*q**2 + 5/102*q**4 - 2/51*q**3 - 2/85*q**5 + 7*q. Let k(j) = 0. What is j?
0, 1, 2
Suppose 5*p - t = -4*t - 15, 4*p + 15 = -3*t. Solve p*s - 2/3*s**2 + 2/3 = 0.
-1, 1
Determine c so that -2/11*c**2 - 4/11*c - 2/11 = 0.
-1
Let h(x) = -9*x - 3. Let r(k) = -k**2 + 9*k + 2. Let y = -21 + 17. Let p(c) = y*h(c) - 3*r(c). Factor p(b).
3*(b + 1)*(b + 2)
Suppose -22*a + 19*a = 0. What is m in 1/5*m**2 - 1/5*m**3 - 1/5*m**4 + a*m + 1/5*m**5 + 0 = 0?
-1, 0, 1
Let l(x) be the second derivative of -1/12*x**4 - 3*x + 1/20*x**5 + 0*x**2 + 0 + 0*x**3. Factor l(g).
g**2*(g - 1)
Let k(n) be the third derivative of n**6/540 - 7*n**4/108 - 2*n**3/9 - 20*n**2. Factor k(v).
2*(v - 3)*(v + 1)*(v + 2)/9
Solve -1/3*y**3 + 0 - 1/6*y**2 - 1/6*y**4 + 0*y = 0.
-1, 0
Suppose 4*i + 0*b = -b + 21, 5*b + 15 = 0. Suppose u = -u + i. Factor 0*r**2 - 2*r + 4/3 + 2/3*r**u.
2*(r - 1)**2*(r + 2)/3
Let s be 2/(-6)*9*1. Let o be (-2)/(-2)*-1 - s. Determine v so that -2*v - 3*v + 2 + 2*v**3 + v**3 + 7*v**4 + o*v**3 - 9*v**2 = 0.
-1, 2/7, 1
Let b(c) = -4 - 8*c + 2*c**2 - 2*c + 4*c. Let l(g) = -g**3 + g**2. Let r(d) = b(d) - 2*l(d). Factor r(y).
2*(y - 2)*(y + 1)**2
Let z(h) be the third derivative of -2*h**7/105 - h**6/30 + h**5/15 + h**4/6 - 29*h**2. Factor z(j).
-4*j*(j - 1)*(j + 1)**2
Let h(a) be the third derivative of 1/15*a**6 + 0*a**3 + 0 + 0*a**4 - 2/15*a**5 + 0*a - 1/105*a**7 + 4*a**2. Let h(o) = 0. Calculate o.
0, 2
Let 27/2*m**2 + 6*m**4 - 18*m**3 - 3*m + 0 = 0. Calculate m.
0, 1/2, 2
Let v = -62 + 64. Determine p so that -p**v - 11/2*p**3 + 0 + 0*p - 5*p**5 - 19/2*p**4 = 0.
-1, -1/2, -2/5, 0
Let w(b) be the third derivative of 1/27*b**3 - 1/36*b**4 + b**2 - 1/540*b**6 + 0*b + 1/90*b**5 + 0. Factor w(y).
-2*(y - 1)**3/9
Suppose -14 = -3*w - j + 14, 0 = 5*w + 5*j - 50. Determine g so that 1 + 9*g**2 - 1 + 5 - 3*g**3 - 2 - w*g = 0.
1
Let k(a) be the third derivative of -1/60*a**6 + 0 + 0*a**3 + 0*a + 1/210*a**7 + 3*a**2 + 0*a**4 + 1/60*a**5. What is h in k(h) = 0?
0, 1
Let r be 14/28*0*(-1)/2. Solve 0 + 2/3*i**4 - 2/3*i**2 + 1/3*i**3 + r*i - 1/3*i**5 = 0 for i.
-1, 0, 1, 2
Let p = 563/3744 - -1/288. Let -10/13*n - 4/13 + p*n**4 + 2/13*n**3 - 6/13*n**2 = 0. What is n?
-1, 2
Let o = 14 - 10. Let y(p) be the third derivative of 0*p + 1/1344*p**8 + 0*p**3 + 0*p**o + 0 + 1/480*p**6 - 2*p**2 + 0*p**5 + 1/420*p**7. Factor y(v).
v**3*(v + 1)**2/4
Let w(x) be the second derivative of 1/10*x**4 + 0*x**3 + 0 - 5*x + 0*x**2 + 3/100*x**5. Determine d, given that w(d) = 0.
-2, 0
Suppose 2*o + 8 = -4*r, 2*o + 7 = -2*o - 5*r. Let a(x) be the second derivative of 0*x**4 + 0*x**3 + 0 - 1/70*x**5 + 0*x**o + 2*x. Find f such that a(f) = 0.
0
Let s(a) = -2*a**2 - 9*a - 1. Let b be s(-4). What is v in -1/2 + 1/2*v**2 - 1/2*v + 1/2*v**b = 0?
-1, 1
Factor -2/9*n - 4/9 + 2/9*n**2.
2*(n - 2)*(n + 1)/9
Let t(r) = -r**2. Let k be (-5)/(0 - -1) + 3. Let n be k/(-6)*75/(-5). Let u(j) = 4*j**2 - 3*j - 2. Let x(d) = n*t(d) - u(d). Factor x(v).
(v + 1)*(v + 2)
Let o(j) be the second derivative of -5*j**4/12 - 5*j**3/3 + 15*j**2/2 - 10*j. Find q, given that o(q) = 0.
-3, 1
Let k be 23/4 - (-3)/12. Let t = -3 + k. Let s + 3*s + s**t - 3*s - 2*s**2 = 0. What is s?
0, 1
Let z(t) be the third derivative of 7*t**7/90 - 7*t**6/36 - 13*t**5/45 - t**4/9 - 7*t**2. Factor z(s).
s*(s - 2)*(7*s + 2)**2/3
Let j = -5011/7 - -717. Factor 2*h**3 + 16/7*h - 38/7*h**2 + j.
2*(h - 2)*(h - 1)*(7*h + 2)/7
Let v = -2536/3 - -849. Find q, given that 2/3 - v*q**3 + 7/3*q + 4/3*q**5 + 5/3*q**4 - 7/3*q**2 = 0.
-2, -1, -1/4, 1
Factor 2/5*r**3 + 2/5*r + 0 - 4/5*r**2.
2*r*(r - 1)**2/5
Let x(d) be the second derivative of 0*d**3 + 3/80*d**5 - 2*d + 0*d**2 - 1/56*d**7 + 0 - 1/16*d**4 + 1/40*d**6. Factor x(q).
-3*q**2*(q - 1)**2*(q + 1)/4
Let f(q) = -4 + 4 - q**2 - 7*q. Let c be f(-7). Determine l, given that 0*l**3 + 0 - 1/4*l**2 + 1/4*l**4 + c*l = 0.
-1, 0, 1
Let q(i) be the first derivative of -i**6/15 - 3*i**5/10 - i**4/3 + i + 7. Let x(w) be the first derivative of q(w). Factor x(m).
-2*m**2*(m + 1)*(m + 2)
Suppose 5*g + v = 19, 0 = -0*g + 5*g - 4*v - 24. Determine z so that -3 + 4*z**2 + 6*z**2 - 4*z**4 - 3*z**5 - g*z**2 + 6*z**3 + z**4 - 3*z = 0.
-1, 1
Let b(i) be the first derivative of -i**3 - 3*i**2 - 4. Factor b(n).
-3*n*(n + 2)
Let n(i) be the third derivative of 0*i**5 + 0*i**3 + 0*i - i**2 - 1/40*i**6 + 0 + 1/8*i**4. Determine q so that n(q) = 0.
-1, 0, 1
Determine d, given that -48 + 16*d - 4/3*d**2 = 0.
6
Let a(y) be the second derivative of y**5/30 + 7*y**4/9 + 49*y**3/9 - 4*y. Let a(z) = 0. What is z?
-7, 0
Let u(h) = -h**3 + 6. Let c be u(0). Suppose 2 = 4*m - c. Solve 2/3*q**5 + 2*q**4 + 0*q + 2/3*q**m + 0 + 2*q**3 = 0.
-1, 0
Let q be 3 - (-2)/(4 + -2). Let w = q - 2. Solve 0 + 1/3*h**w + 2/3*h = 0.
-2, 0
Determine c so that 4/3 + 0*c**4 - 19/3*c**3 - 1/3*c**2 + 4*c + 4/3*c**5 = 0.
-2, -1/2, 1, 2
Factor 0 - 4*v + 4/7*v**2.
4*v*(v - 7)/7
Suppose -12 = 5*d + 3*r, -5*d + 4*r - 8 = 6*r. Factor 2/7*w**2 + 2/7*w**3 - 2/7*w - 2/7*w**4 + d.
-2*w*(w - 1)**2*(w + 1)/7
Let m(l) be the second derivative of -l**4/120 + l**3/60 - 31*l. Factor m(t).
-t*(t - 1)/10
Let q = 2/143 + 276/715. Suppose -5*h + 51 = 41. Factor 8/5*f + 8/5 + q*f**h.
2*(f + 2)**2/5
Suppose 10 + 5 = 5*i + 4*m, 0 = -3*i + m + 26. Suppose 3*n + i = 4*c, n + 3*n + 2*c - 20 = 0. Factor 5*k**2 - 3*k**2 - 2*k**4 - 2*k**3 + 5*k**5 - n*k**5.
2*k**2*(k - 1)**2*(k + 1)
Factor -2/3*i**4 + 0*i + 0 + 2/3*i**3 + 0*i**2.
-2*i**3*(i - 1)/3
Let a be (-274)/(-84) - (-185)/1110. Factor -a*v**2 + 0 + 12/7*v - 15/7*v**3.
-3*v*(v + 2)*(5*v - 2)/7
Let y = 68/21 - 1763/84. Let a = y - -18. Factor -a*u**2 - 1/2*u - 1/4.
-(u + 1)**2/4
Find w such that 0*w + 0 - 1/2*w**2 = 0.
0
Let c(w) be the second derivative of -5*w - 1/28*w**4 + 3/140*w**5 - 9/14*w**2 - 5/14*w**3 + 0. Factor c(t).
3*(t - 3)*(t + 1)**2/7
Let g(c) be the third derivative of c**5/150 - c**4/60 - 2*c**3/15 + 22*c**2. Factor g(r).
2*(r - 2)*(r + 1)/5
Let z(u) = -u**2 - 29*u + 36. Let g(d) = 2*d**2 + 44*d - 54. Let h(i) = -5*g(i) - 8*z(i). Factor h(w).
-2*(w - 3)**2
Let o(k) be the third derivative of -k**9/5040 - k**8/2240 + k**4/24 - 4*k**2. Let z(q) be the second derivative of o(q). Factor z(t).
-3*t**3*(t + 1)
Let s be (-4)/(-18) + 68/18. Let j(g) = -4 - g**2 + s + 2 + 2*g + 5*g**2. Let v(y) = -5*y**2 - 2*y - 3. Let h(u) = -3*j(u) - 2*v(u). Factor h(z).
-2*z*(z + 1)
Factor -351/4*u**2 - 243/4*u**3 - 30*u - 3.
-3*(u + 1)*(9*u + 2)**2/4
Let b = -12 + 9. Let t be b - -17*4/12. Factor 2*c**2 - t + 8/3*c.
2*(c + 2)*(3*c - 2)/3
Let m(k) = -k**2 - 2*k + 35. Let x be m(5). Let o(a) be the third derivative of x - 1/12*a**4 + 1/60*a**5 + 0*a - 3*a**2 + 1/6*a**3. Factor o(n).
(n - 1)**2
Suppose 0*m - 3*m - 4*m**3 + 11*m**2 - 3*m**2 - m = 0. Calculate m.
0, 1
Let g(n) be the second derivative of n**6/9 + n**5/15 - 5*n**4/18 - 2*n**3/9 - 8*n. What is p in g(p) = 0?
-1, -2/5, 0, 1
What is h in -2 - 25/2*h**2 + 10*h = 0?
2/5
Let b(u) be the second derivative of 3*u**5/10 + 5*u**4/4 - 11*u**3/2 + 6*u**2 - 21*u. Factor b(d).
3*(d - 1)*(d + 4)*(2*d - 1)
Let p(q) = 5*q**3 - q**2 + 3*q + 1. Let l(s) = s**3 - s**2. Let a be -2*3*(-5)/10. Suppose a*g = 4*g - 4. Let u(i) = g*l(i) - p(i). Factor u(b).
-(b + 1)**3
Suppose 0*g + 4 = -4*g. Let o(n) = -n**3 + 2*n**2 - 2*n + 1. Let j(s) = -s + 1. Let t(l) = g*o(l) + j(l). Suppose t(m) = 0. What is m?
0, 1
Let k(l) be the second derivative of -l**6/60 + l**5/30 + l**4/12 - l**3/3 + l**2/2 + 3*l. Let s(y) be the first derivative of k(y). Factor s(r).
-2*(r - 1)**2*(r + 1)
Let k be 66/(-15)*5/(-2). Solve 2*n + 2*n**2 + 0*n - k*n + 6 + n**2 = 0.
1, 2
Let j(u) = u**3 + 4*u**2 + u - 3. Let l be j(-2). Let o(m) be the first derivative of 0*m + 1/7*m**2 + 1 - 2/21*m**l. Factor o(c).
-2*c*(c - 1)/7
Suppose 0*w = 5*r + 5*w - 15, 3*r - 4*w = -12. Suppose 4*v - 8 = -r. Let 3*u**v + u - 3*u**3 - u = 0. Calculate u.
0, 1
Let m(r) = 8*r**4 - 