*m + 1/12*m**3 - 1 - 1/4*m**v. Factor n(j).
j*(j - 2)/4
Let o = -59 + 355/6. Let d(w) be the second derivative of -o*w**4 + 0 + 1/15*w**6 + w - 1/10*w**5 + 0*w**2 + 1/3*w**3. Suppose d(q) = 0. What is q?
-1, 0, 1
Suppose -4*d**3 + 16*d**2 - 64/3*d + 0 + 1/3*d**4 = 0. What is d?
0, 4
Let r(v) be the second derivative of -v**9/83160 + v**8/36960 + v**4/4 + 4*v. Let m(b) be the third derivative of r(b). Determine p, given that m(p) = 0.
0, 1
Let i(q) be the first derivative of 2*q**3/3 + 5*q**2 - 34. Factor i(f).
2*f*(f + 5)
Suppose 10 = 5*z + 4*f, 0 = -2*z - f + 2 + 2. Solve 8*u**3 + u**z + 3*u**2 + 4*u**4 + 0*u**3 = 0 for u.
-1, 0
Let a = -713/224 - -45/14. Let h(w) be the third derivative of -1/240*w**5 - 1/12*w**3 - a*w**4 + 3*w**2 + 0 + 0*w. Determine c so that h(c) = 0.
-2, -1
Let p(a) be the second derivative of -1/9*a**3 - 2*a + 0 + 1/9*a**4 + 0*a**2 - 1/30*a**5. Determine f so that p(f) = 0.
0, 1
Factor -2/11*z**2 + 0 + 2/11*z**3 + 2/11*z**4 - 2/11*z.
2*z*(z - 1)*(z + 1)**2/11
Let j(d) = d**3 - 9*d**2 + 7*d + 11. Let l be j(8). Factor 128/3*h**l - 32*h**2 + 8*h - 2/3.
2*(4*h - 1)**3/3
Let w(n) be the third derivative of n**5/105 + n**4/14 + 21*n**2. Factor w(f).
4*f*(f + 3)/7
Factor 157*z**2 - 158*z**2 + 0*z**3 - z**3.
-z**2*(z + 1)
Let g(p) be the third derivative of -p**6/30 - 2*p**5/15 - 7*p**2. Let g(b) = 0. Calculate b.
-2, 0
Let f(i) be the second derivative of i**4/54 + 2*i**3/27 + i**2/9 - 5*i. Suppose f(w) = 0. What is w?
-1
Let o(b) = -5*b**4 + 4*b**3 + 9*b**2 - 19*b + 11. Let j(r) = -4*r**4 + 4*r**3 + 8*r**2 - 18*r + 10. Let d(t) = 3*j(t) - 2*o(t). Factor d(f).
-2*(f - 2)*(f - 1)**2*(f + 2)
Let f(p) be the first derivative of -9*p**3 + 9*p**2 - 3*p + 1. Factor f(q).
-3*(3*q - 1)**2
Let w(p) be the third derivative of p**5/720 - p**4/144 - 5*p**3/24 - 13*p**2 - 1. Solve w(u) = 0.
-3, 5
Let g be 0/(13/(-5) - (-3)/5). Factor 2/13*f - 2/13*f**2 + g.
-2*f*(f - 1)/13
Factor -3/2*n + 0 - 3/2*n**2.
-3*n*(n + 1)/2
Let a(d) = d**3 - 11*d**2 + d + 2. Let t be a(11). Let j be 4 + 0 + (-50)/t. Suppose -j*k**2 + 0*k - 2/13*k**3 + 0 = 0. What is k?
-1, 0
Let b(r) = -r**3 + 22*r**2 - 112*r. Let u be b(14). Suppose u - 46/5*p**4 + 54/5*p**3 + 14/5*p**5 - 26/5*p**2 + 4/5*p = 0. Calculate p.
0, 2/7, 1
Let y(s) be the third derivative of 0 + 0*s**6 + 1/8*s**4 - 1/112*s**8 + 0*s + 0*s**3 - 2*s**2 - 1/10*s**5 + 1/35*s**7. Factor y(b).
-3*b*(b - 1)**3*(b + 1)
Let u be ((-3)/6 - 0)*-22. Let t(s) = 5*s**4 - 17*s**3 + 11*s + 11. Let f(r) = -2*r**4 + 6*r**3 - 4*r - 4. Let n(y) = u*f(y) + 4*t(y). Factor n(p).
-2*p**3*(p + 1)
Let n(q) = q**2 + 1. Let d(g) = g**3 + 7*g**2 - 3*g - 9. Let t be d(-7). Let k(x) = 15*x**2 - 3*x + 12. Let y(b) = t*n(b) - k(b). Factor y(v).
-3*v*(v - 1)
Let i be ((-3)/6)/((-2)/(-4)). Let m(l) = -l**3 + l. Let k(s) = -2*s**4 - 2*s**3 - 18*s**2 - 22*s - 4. Let n(y) = i*k(y) - 8*m(y). What is v in n(v) = 0?
-2, -1
Let a be (8/(-28))/(-1) - 116/(-14). Let y be (1 - 7)*(-3)/7. Let -y + a*l - 50/7*l**2 = 0. What is l?
3/5
Let k(l) be the second derivative of l**4/4 - 3*l**3/2 - 3*l. Let k(w) = 0. What is w?
0, 3
Let a(c) be the third derivative of 0*c + 3/8*c**4 - 3*c**2 + 1/20*c**5 + 0 - 2*c**3. Factor a(n).
3*(n - 1)*(n + 4)
Suppose 0 = b + 3, 0 = -0*w + 2*w + 4*b - 28. Suppose 0 = t + h - 14, 0 = -5*t + h + 4*h + w. Factor 8*q + 5*q**3 - 3*q**3 - q**2 + t*q**2.
2*q*(q + 2)**2
Let q be (2 + -2)*(-7 + 8). Factor -2/7*g**2 + 2/7*g**4 + q - 2/7*g + 2/7*g**3.
2*g*(g - 1)*(g + 1)**2/7
Let q be (17 - 18)*10/(-2). Let p(n) be the first derivative of -2*n - 1/4*n**4 + 1/2*n**2 + n**3 + 1 - 1/5*n**q. Factor p(b).
-(b - 1)**2*(b + 1)*(b + 2)
Let 0 - 10*s + 5/3*s**2 = 0. Calculate s.
0, 6
Suppose t - 2*a = -14, -3*t - 4*a - 24 = -a. Let h be (-3)/(-15) + (-28)/t. Factor -i**h + i + 1/2*i**4 - 1/2 + 0*i**2.
(i - 1)**3*(i + 1)/2
Factor -27*x + 28*x**2 - 24*x**2 + 7*x + 16.
4*(x - 4)*(x - 1)
Let r be ((-2)/25)/(12/(-615)). Let o = r + -18/5. Determine v so that o*v - 1/2*v**2 + 0 = 0.
0, 1
Let x(h) be the first derivative of -h**6/40 + h**5/20 - h**2 + 2. Let c(q) be the second derivative of x(q). Suppose c(d) = 0. What is d?
0, 1
Let z(l) = -15*l**3 - 7*l**2 - 3*l + 7. Let r(d) = -7*d**3 - 4*d**2 - d + 3. Let q(k) = 14*r(k) - 6*z(k). Factor q(u).
-2*u*(u + 2)*(4*u - 1)
Let w(o) = -16*o**2 - 64*o + 24. Let x(p) = -p**2 - p. Let h(a) = w(a) + 12*x(a). Factor h(u).
-4*(u + 3)*(7*u - 2)
Let h(z) be the third derivative of 1/84*z**6 + 1/21*z**4 - 2*z**2 + 4/105*z**5 + 0 + 0*z + 1/735*z**7 + 0*z**3. Factor h(a).
2*a*(a + 1)*(a + 2)**2/7
Let x(n) be the first derivative of -6 + 1/16*n**4 - 1/20*n**5 + 0*n**2 + 0*n + 0*n**3. Factor x(f).
-f**3*(f - 1)/4
Let x(n) be the second derivative of n**7/119 + n**6/51 + n**5/170 - n**4/102 - 2*n. Factor x(f).
2*f**2*(f + 1)**2*(3*f - 1)/17
Suppose 0 - 6/7*g + 2/7*g**2 = 0. What is g?
0, 3
Let l(i) be the first derivative of 8/3*i - 3 - 4/3*i**2 + 2/9*i**3. Factor l(d).
2*(d - 2)**2/3
Let x be (-10)/(-140)*(0 + 2). Let h(j) be the second derivative of -x*j**2 + 0 - 1/42*j**4 - 2/21*j**3 + j. Factor h(t).
-2*(t + 1)**2/7
Let p(c) be the first derivative of 1 - 1/5*c**5 + 0*c**3 + 1/2*c**4 - c**2 + c. Solve p(s) = 0 for s.
-1, 1
Factor 12/7 + 0*w**2 + 2*w - 2/7*w**3.
-2*(w - 3)*(w + 1)*(w + 2)/7
Suppose -5*d + 6 = -19. Suppose -2*o = -5*i + 1 + 11, 5*o = d*i - 15. Find u, given that 6*u - 3*u**3 - 2*u**2 - 4 + i*u**2 + u**3 = 0.
-2, 1
Let x(a) be the second derivative of -a**8/13440 + a**7/5040 + a**4/6 + a. Let n(i) be the third derivative of x(i). What is r in n(r) = 0?
0, 1
Let v(p) be the first derivative of -p**5/30 + p**4/6 - p**3/3 - p**2/2 - 2. Let g(q) be the second derivative of v(q). Factor g(d).
-2*(d - 1)**2
Let x be ((-1 + 1)/1)/(-3). Let r = -23 - -28. Determine h, given that 4/9*h**4 + x*h**3 - 4/9*h**2 - 2/9*h**r + 2/9*h + 0 = 0.
-1, 0, 1
Let g(d) be the second derivative of 0*d**2 + 1/16*d**4 + 0 + 1/8*d**6 + 1/28*d**7 - 4*d + 0*d**3 + 3/20*d**5. Suppose g(q) = 0. What is q?
-1, -1/2, 0
Factor 0*w + 32/7 + 0*w**3 - 16/7*w**2 + 2/7*w**4.
2*(w - 2)**2*(w + 2)**2/7
Let z(t) = 2*t - 6*t**2 + t**2 + 4*t - 4. Let w(s) = -4*s**2 + 5*s - 3. Let d(q) = -3*w(q) + 2*z(q). Factor d(j).
(j - 1)*(2*j - 1)
Let n(g) = -3*g**5 - 11*g**4 - 46*g**3 - 36*g**2 - 19*g + 7. Let k(h) = -h**5 - 4*h**4 - 15*h**3 - 12*h**2 - 6*h + 2. Let d(b) = 21*k(b) - 6*n(b). Factor d(y).
-3*y*(y + 1)**2*(y + 2)**2
Let s be (-6)/15 + 188/70 + -2. Let s*l**2 + 0*l + 0 = 0. What is l?
0
Let k = 2/3 - 4/15. Suppose b + 4 = 3, 6 = m - 4*b. Factor -4/5*w + k + 2/5*w**m.
2*(w - 1)**2/5
Let r = -37 + 39. Suppose 0 - 7/2*z**r + 7/2*z**4 + z - z**3 = 0. Calculate z.
-1, 0, 2/7, 1
Let q(j) be the second derivative of 0*j**3 + 0*j**2 + 1/30*j**4 + 1/25*j**6 + 0 - 3/50*j**5 - 1/105*j**7 + j. Suppose q(s) = 0. Calculate s.
0, 1
Let y = 57 + -54. Suppose 1/2*n**2 - 1/4 - 2*n**y - 1/4*n**4 + n + n**5 = 0. What is n?
-1, 1/4, 1
Suppose 0 = -2*d + 3*x - 6, -2*x = -2*d - 0*x - 4. Suppose d = -l - 0*l + 5. Factor 6*i + l*i**2 - 3*i**2 - 5*i**2 + 0*i.
-3*i*(i - 2)
Let x be 1/(-5) - (-7)/((-350)/(-85)). Factor -3*i + x + 3/2*i**2.
3*(i - 1)**2/2
Let d(u) = u**3 - 5*u**2 + 6*u - 4. Let v be d(4). Let -8*w**4 - v*w**2 - 2*w**2 - 7*w**4 - 21*w**3 = 0. Calculate w.
-1, -2/5, 0
Let p(s) be the first derivative of -2*s**3 + 4*s - 1/2*s**4 + 2/5*s**5 + s**2 + 2. Find t, given that p(t) = 0.
-1, 1, 2
Let z(b) be the third derivative of -b**7/42 + b**6/60 + b**5/12 - b**4/12 + 19*b**2. Factor z(g).
-g*(g - 1)*(g + 1)*(5*g - 2)
Let f(y) = y**3 - y**2 + 3*y - 1. Let k(w) = 2*w**3 - 2*w**2 + 4*w - 1. Let p(i) = -3*f(i) + 2*k(i). Factor p(t).
(t - 1)**2*(t + 1)
Let w(f) be the second derivative of 0*f**2 - 4*f + 0*f**3 - 1/5*f**5 + 0*f**4 + 0 + 1/15*f**6. Solve w(t) = 0.
0, 2
Let x(l) be the first derivative of l**4/18 - 4*l**2/9 - 30. Factor x(t).
2*t*(t - 2)*(t + 2)/9
Let u = 6 + -3. Factor i**3 + 2*i - 2*i + 6*i**2 + 2*i**u.
3*i**2*(i + 2)
Let i(m) be the third derivative of -m**6/40 + m**5/10 + 4*m**2. Determine z, given that i(z) = 0.
0, 2
Let n(k) = k + 4. Let j be n(4). Find b, given that 4*b**2 + 12*b**3 - j*b**3 + 0*b**3 = 0.
-1, 0
Let q(k) be the second derivative of 0*k**2 + 0 + 1/180*k**5 + 3*k - 1/108*k**4 - 1/27*k**3. Determine y so that q(y) = 0.
-1, 0,