 24*z + 2 + 3 + 4 = 0. What is z?
1, 2
Let d(l) be the third derivative of -l**7/840 - l**6/180 - l**3/2 - l**2. Let k(g) be the first derivative of d(g). Solve k(f) = 0.
-2, 0
Let m(f) be the first derivative of f**4 - 4*f**3/3 - 2*f**2 + 4*f - 43. Factor m(x).
4*(x - 1)**2*(x + 1)
Suppose 0 = -3*u - 5*j - 34, u - 2*j - 4 = 3. Let v be (0 - -6)/u - -2. Factor v + 1/5*d**4 + 1/5*d**5 - 1/5*d**2 + 0*d - 1/5*d**3.
d**2*(d - 1)*(d + 1)**2/5
Suppose -2 - 4 = -3*v. Suppose -15*t**3 + 6*t**4 + v*t - 6*t**5 + 12*t**4 + t**4 + t**2 - t**5 = 0. Calculate t.
-2/7, 0, 1
Suppose -4 = -0*s - 2*s. Let t(m) be the first derivative of -2 + 2/5*m**5 + 0*m**2 - 4/3*m**3 + 0*m**4 + s*m. Solve t(i) = 0 for i.
-1, 1
Let u = 57 - 53. Let y(v) be the third derivative of 0*v**u + 1/6*v**3 - 1/60*v**5 + v**2 + 0*v + 0. Determine t, given that y(t) = 0.
-1, 1
Let u(j) be the first derivative of j**6/3 + 8*j**5/5 - j**4 - 8*j**3 + 9*j**2 - 8. Find s, given that u(s) = 0.
-3, 0, 1
Let r(j) be the third derivative of -j**7/840 + j**5/120 - j**3/2 - 5*j**2. Let x(m) be the first derivative of r(m). Factor x(s).
-s*(s - 1)*(s + 1)
Let d(r) be the first derivative of 3*r**4/4 - 11*r**3 + 36*r**2 + 108*r - 31. Factor d(h).
3*(h - 6)**2*(h + 1)
Factor 0*w**4 - 3*w**4 - 30*w**5 + 2*w**3 + 4*w**3.
-3*w**3*(2*w + 1)*(5*w - 2)
Let a(c) be the third derivative of -c**7/840 + c**5/240 + 23*c**2. Factor a(x).
-x**2*(x - 1)*(x + 1)/4
Let r be (-238)/4 - (2 + -1). Let i = r + 64. Let 0 - i*n**2 + n = 0. What is n?
0, 2/7
Let b(m) = 15*m**3 + 20*m**2 + 55*m - 10. Let l(j) = j**3 + j**2 + j + 1. Let a(h) = b(h) - 20*l(h). Suppose a(p) = 0. Calculate p.
-3, 1, 2
Let o = 12 - 9. Solve -o*h**3 - 3*h**2 + 0*h + 2 + 1 + 3*h + 0*h**2 = 0 for h.
-1, 1
Let j(a) = a**4 - a**3 - a**2 + a - 1. Let v(w) = -8*w**4 + 12*w**3 - 20*w + 12. Let q(k) = 12*j(k) + v(k). Factor q(f).
4*f*(f - 2)*(f + 1)**2
Suppose 5*c + 3*x = 30, 5*x - 32 = -2*c - 1. Determine o so that 1/4*o**4 + 13/4*o**2 + 1 - 3/2*o**c - 3*o = 0.
1, 2
Let c(b) be the third derivative of 5/8*b**4 + b**3 + 0*b + 0 + 3/20*b**5 + 4*b**2. Factor c(l).
3*(l + 1)*(3*l + 2)
Let y be 6/9*1*12. Let p(h) = h**3 - 8*h**2 - h + 11. Let c be p(y). Let 2 + 2*m**5 - 2 - m**c - m**5 = 0. Calculate m.
-1, 0, 1
Let x be 2/(-3) + 76/114. Let h(c) be the second derivative of 0 + x*c**2 - c - 1/12*c**4 + 1/3*c**3. Factor h(s).
-s*(s - 2)
Let h(d) = d**3 - d + 1. Let r(a) = -3*a**4 + 4*a**3 + 3*a**2 - 4*a + 6. Let n(o) = 6*h(o) - r(o). Factor n(f).
f*(f - 1)*(f + 1)*(3*f + 2)
Let 4/9*l**2 + 0 + 2/3*l - 2/9*l**3 = 0. Calculate l.
-1, 0, 3
Let u(z) be the second derivative of -1/8*z**2 + 0 + 2*z - 1/80*z**5 - 1/8*z**3 - 1/16*z**4. Factor u(n).
-(n + 1)**3/4
Suppose -133*p = -128*p - 10. What is w in 0*w - 1/5 + 2/5*w**p - 1/5*w**4 + 0*w**3 = 0?
-1, 1
Let n(i) = -2*i - 6. Let q be n(-4). Let b be q/3 - 4/(-6). Factor 2/3*t - b*t**4 + 4/3*t**2 - 2/3*t**5 + 0 + 0*t**3.
-2*t*(t - 1)*(t + 1)**3/3
Let u(i) be the second derivative of 2/5*i**2 - 1/10*i**4 + 0 + 1/75*i**6 + 1/15*i**3 - 1/50*i**5 - 4*i. Let u(q) = 0. What is q?
-1, 1, 2
Let h(m) be the third derivative of -m**8/224 - 23*m**7/420 - 4*m**6/15 - 3*m**5/5 - m**4/3 + 4*m**3/3 + 11*m**2. Factor h(s).
-(s + 2)**4*(3*s - 1)/2
Factor -v**2 - v - 2*v + 0*v - 6 + 4*v**2.
3*(v - 2)*(v + 1)
Suppose -2*j + 4*x = -0*j - 28, 3*j = -x + 63. Let d be (-32)/(-20)*j/8. Factor 7/2*l**3 + 1/2*l + 3*l**2 + 5/4*l**d - 1/4.
(l + 1)**3*(5*l - 1)/4
Let a(h) = h**2 + 6*h. Let b be a(-6). Let t(y) be the first derivative of b*y**2 + 1 + 1/12*y**3 - 1/4*y. Let t(i) = 0. What is i?
-1, 1
Let i(c) be the third derivative of c**7/315 + c**6/90 + c**5/90 - 24*c**2. Factor i(v).
2*v**2*(v + 1)**2/3
Let v = 149 - 149. Let k(j) be the third derivative of 1/36*j**5 + 1/1008*j**8 - 2*j**2 + 0*j - 1/630*j**7 + 0*j**3 - 1/120*j**6 - 1/36*j**4 + v. Factor k(m).
m*(m - 1)**3*(m + 2)/3
Let k be (-4)/(-10)*(-8 + 3). Let l(h) = 5*h**2 - h - 4. Let f(g) = 6*g**2 - 3. Let v(a) = k*f(a) + 3*l(a). Factor v(u).
3*(u - 2)*(u + 1)
Let w(q) = q**2 + 2*q + 4. Let s(o) = 5*o**2 + 9*o + 16. Let g(f) = -2*s(f) + 9*w(f). Solve g(a) = 0.
-2, 2
Let t(p) be the third derivative of -p**4/24 + 13*p**3/6 - 3*p**2. Let u be t(9). Factor -6*k**3 - k**5 + 3*k - 5*k**u + 5*k**4 + 4*k**5.
3*k*(k - 1)**2*(k + 1)**2
Let o(a) = -10*a**3 - 14*a**2 + 36*a - 10. Let i(m) = 50*m**3 + 69*m**2 - 179*m + 49. Let x(w) = -2*i(w) - 11*o(w). Solve x(q) = 0 for q.
-3, 2/5, 1
Let a be (8/14)/(2/7). Solve -4*i + 4*i**2 + 2*i**a - i**2 - 3*i**2 = 0 for i.
0, 2
Let f(z) be the first derivative of 5*z**3/3 + 25*z**2 + 125*z + 23. Let f(w) = 0. What is w?
-5
Let o(j) be the second derivative of j**4/60 + 7*j**3/30 - 9*j**2/5 + 34*j. Factor o(r).
(r - 2)*(r + 9)/5
Let r(h) be the second derivative of h**6/120 + h**5/16 + h**4/6 + h**3/6 + h. Find c, given that r(c) = 0.
-2, -1, 0
Let k(v) = 3*v - 14. Let a be k(6). Let s(b) be the second derivative of 0*b**3 + 0 - 1/40*b**5 + 0*b**a + 1/60*b**6 - b + 0*b**2. Suppose s(j) = 0. What is j?
0, 1
Let i(t) be the first derivative of 5*t**3/3 + 5*t**2 + 5*t - 5. Factor i(q).
5*(q + 1)**2
Let b(o) be the first derivative of o**8/4200 - o**7/700 + o**6/900 + o**5/100 - o**4/30 - o**3/3 - 3. Let g(w) be the third derivative of b(w). Factor g(p).
2*(p - 2)*(p - 1)**2*(p + 1)/5
Let u(h) be the first derivative of -9*h**4/16 + h**3 - h**2/2 - 4. Determine p, given that u(p) = 0.
0, 2/3
Suppose 17*x - 35 = -1. Find v such that -3/4*v - 1/4*v**x - 1/2 = 0.
-2, -1
Let j be (-30)/(-4)*32/10. Suppose -5*y = 4*t - 17, 2*t + j = 4*y - 0*y. Factor -6 - 2*n + 8*n + 2*n**2 + y + 5.
2*(n + 1)*(n + 2)
Let w = 24 + -21. Suppose f - 8 = -3*f - g, w*f - 4*g = 6. Find h such that 1/5*h + 1/5*h**f - 2/5 = 0.
-2, 1
Let g be ((4/18)/((-16)/(-36)))/1. Factor -x**2 + 1/2*x + g.
-(x - 1)*(2*x + 1)/2
Suppose 4*v - 6 = 26. Suppose 10*n + v = 12*n. Solve 2*m**2 + 10/3*m**4 - 1/3*m - m**5 - n*m**3 + 0 = 0 for m.
0, 1/3, 1
Let r(m) be the first derivative of -3*m**4/4 - m**3 - 30. Suppose r(a) = 0. Calculate a.
-1, 0
Let a(m) = -m**3 + m**2 - 1. Let k(h) = 2*h**5 + 2*h**4 - 8*h**2 + 2*h + 6. Let b(u) = 4*a(u) + k(u). Factor b(x).
2*(x - 1)**2*(x + 1)**3
Let p(a) = 3*a**2 + 33*a. Let j(x) = -x**2 - 16*x. Let c(r) = -9*j(r) - 4*p(r). Determine m, given that c(m) = 0.
0, 4
Let u be (3 - -3)*5/10. Factor -4*z**2 - 16*z**4 - 4*z**2 + 9*z**3 + 0*z**u + 11*z**3 + 4*z**5.
4*z**2*(z - 2)*(z - 1)**2
Let o = -7 + 11. Factor 6*r**3 + 18*r**o + 10*r**3 - 24*r - 10*r**2 + 8*r**3 - 8.
2*(r - 1)*(r + 1)*(3*r + 2)**2
Let s be ((-8)/(-6))/(2/(-3)). Let c = -1 - s. Factor -1/4*a**3 + 5/4*a**2 - 2*a + c.
-(a - 2)**2*(a - 1)/4
Let g(p) = 4*p**2 + 4*p**2 - 4*p**3 + 7*p**4 - 3*p**2 - 4*p**5. Let r(s) = s**5 - s**4 + s**3 - s**2. Let m(d) = g(d) + 5*r(d). Factor m(x).
x**3*(x + 1)**2
Let r(u) = -u**2 - u - 3. Let v be r(-3). Let t be (24/v)/(-1) + -1. Factor 0 + 4/3*a**4 + 0*a - t*a**3 + 1/3*a**2.
a**2*(a - 1)*(4*a - 1)/3
Solve -10 + 45*s**3 - 26*s + 30*s + 61*s - 120*s**2 = 0 for s.
1/3, 2
Let b(r) be the second derivative of 7*r**6/900 + r**5/150 - 5*r**3/6 - 8*r. Let g(u) be the second derivative of b(u). Let g(o) = 0. What is o?
-2/7, 0
Let z(f) be the first derivative of 2*f**3/3 + f**2/3 - 4*f/9 + 11. Factor z(g).
2*(3*g - 1)*(3*g + 2)/9
Let b(u) be the third derivative of -u**8/6720 + u**7/2520 - 7*u**4/24 - 9*u**2. Let d(k) be the second derivative of b(k). Determine q so that d(q) = 0.
0, 1
Let c(o) be the first derivative of o**4 + o**3 - o**2/2 + 11. Find x, given that c(x) = 0.
-1, 0, 1/4
Let z(c) = c**2 + c - 1. Let d be (-2 + 1 - -2) + -2. Let s(o) = 5*o**2 - 6*o**2 + 0*o**2 + 8 - 13*o. Let v(n) = d*s(n) - 6*z(n). Solve v(a) = 0 for a.
2/5, 1
Let k(m) be the second derivative of -m**7/147 + m**6/105 + 3*m**5/70 - 5*m**4/42 + 2*m**3/21 + 42*m. Find d, given that k(d) = 0.
-2, 0, 1
Let k(p) be the third derivative of -5*p**8/16 - 59*p**7/70 - 7*p**6/10 - p**5/5 - 13*p**2 - 1. Find d such that k(d) = 0.
-1, -2/5, -2/7, 0
Let w(l) be the first derivative of -l**7/105 + l**5/15 - l**3/3 + l**2 - 2. Let a(y) be the second derivative of w(y). Find j, given that a(j) = 0.
-1, 1
Let s(q) be the third derivative of q**8/336 - q**7/105 + q**6/120 - 3*q**2. Find t, given that s(t) = 0.
0, 1
Let q(f) b