144 - 3*p**5/20 - p**4/12 + p**3 + 4. Let k(j) be the third derivative of m(j). Solve k(s) = 0 for s.
-1, -2/7, -2/9
Let t(m) be the first derivative of -2*m**2 - 7/3*m**3 - m + 2/3*m**4 - 1. Let u(v) be the first derivative of t(v). Factor u(l).
2*(l - 2)*(4*l + 1)
Let y = -26 - -26. Suppose 0 = -3*n - y*n. Factor 0 - 2*u**3 + 2/3*u**2 + n*u - 2/3*u**5 + 2*u**4.
-2*u**2*(u - 1)**3/3
Let r(x) be the second derivative of 5*x**4/42 - x**3/7 - 8*x. Factor r(b).
2*b*(5*b - 3)/7
Let 24*v + 6*v**5 - 64*v**2 - 152*v + 20*v**4 - 64 - 2*v**5 + 16*v**3 = 0. Calculate v.
-2, -1, 2
Let u(t) be the first derivative of -4/3*t**3 - 5*t**2 - 5 + 4*t + 5/2*t**4. Factor u(q).
2*(q - 1)*(q + 1)*(5*q - 2)
Factor -4*c**2 + 8*c**3 - 25*c**4 + 29*c**4 + 4*c**2 - 4*c**5.
-4*c**3*(c - 2)*(c + 1)
Let h(x) be the second derivative of 13*x**5/120 + 11*x**4/72 - x**3/18 - 2*x + 43. Suppose h(w) = 0. Calculate w.
-1, 0, 2/13
Let s(y) be the first derivative of 42*y**4 + 12*y**3 - 27*y**2/4 - 3*y - 59. What is d in s(d) = 0?
-1/4, 2/7
Suppose -3*d = -8 + 2. Find v, given that 7*v**3 - 7*v**3 - 2*v**4 + d*v**2 = 0.
-1, 0, 1
Factor 6 - 15*j**3 - j**2 + 15*j + 21*j**4 - 26*j**2 + 0.
3*(j - 1)**2*(j + 1)*(7*j + 2)
Let x be (-13 + 1)/2*145/(-290). Suppose 2/7*k**x + 0*k**2 + 0*k + 2/7*k**4 + 0 = 0. Calculate k.
-1, 0
Let u be 159/212 + ((-18)/8)/(-1). Suppose -3/2*t**2 + 5/2*t - 1/2 - 9/2*t**u = 0. Calculate t.
-1, 1/3
Solve 14/3*y**3 - 2*y**4 - 10/3*y**2 + 0 + 2/3*y = 0.
0, 1/3, 1
Let f(x) be the second derivative of 49*x**7/15 + 147*x**6/25 + 7*x**5/5 - 6*x**4/5 - 8*x**3/15 - 10*x. Suppose f(b) = 0. What is b?
-1, -2/7, 0, 2/7
Let l = 5/47 + 143/423. Suppose 3*y + s + 6 = 7*y, -4 = y - 3*s. Factor -l*c**y + 2/9*c**3 + 2/9*c + 0.
2*c*(c - 1)**2/9
Let a be -2*((-115)/30 - -4)*0. Find m such that -12/7*m**2 - 12/7*m - 3/7*m**3 + a = 0.
-2, 0
Let y = -40 + 42. Let f(b) = -b**2 + 6*b - 6. Let d be f(4). Factor -3*p**4 - 4*p**y + 3*p**2 + 4*p**d.
-3*p**2*(p - 1)*(p + 1)
Let r(n) = 12*n**2 + 40*n - 16. Let q(x) = -4*x**2 - 13*x + 5. Let m(b) = -16*q(b) - 5*r(b). Factor m(s).
4*s*(s + 2)
Let h(g) be the second derivative of -9*g**7/14 - 33*g**6/20 - 51*g**5/40 - g**4/4 - 4*g. Solve h(t) = 0.
-1, -2/3, -1/6, 0
Let k(w) be the second derivative of w**6/20 - 3*w**5/20 - w**4/8 + w**3/2 + 5*w. Determine j, given that k(j) = 0.
-1, 0, 1, 2
Let r(l) be the second derivative of l**5/90 + l**4/27 - l**3/27 - 2*l**2/9 + 5*l. Factor r(t).
2*(t - 1)*(t + 1)*(t + 2)/9
Let a(l) be the first derivative of -1/22*l**4 - 5 + 0*l - 2/33*l**3 + 1/11*l**2 + 2/55*l**5. Find r, given that a(r) = 0.
-1, 0, 1
Let o(b) be the third derivative of 0 - 1/90*b**6 + 1/9*b**3 - b**2 - 1/90*b**5 + 1/18*b**4 + 0*b. Determine r, given that o(r) = 0.
-1, -1/2, 1
Let d(a) be the first derivative of -a**3 - 9*a**2/2 - 6. Let d(l) = 0. Calculate l.
-3, 0
What is o in 5 - 45 + 26*o - 2*o**2 + 2*o - 2*o**2 = 0?
2, 5
Let q be 4/3*2*3. Factor -j**5 - j**5 - 3*j**3 - j**3 - 6*j**3 + q*j**4 + 4*j**2.
-2*j**2*(j - 2)*(j - 1)**2
Let -3/4*b**4 - 3/4*b - 3/2 + 9/4*b**2 + 3/4*b**3 = 0. Calculate b.
-1, 1, 2
Let m = 5571/11 - 505. Let w = 12 + -4. Solve -10/11*f**3 - 12*f**2 + 50/11*f**4 - m - w*f = 0 for f.
-1, -2/5, 2
Let a(g) = g + 1. Let d be a(4). Let p(k) be the third derivative of -1/30*k**d + 0 - 1/360*k**6 - 4/9*k**3 + k**2 + 0*k - 1/6*k**4. Factor p(q).
-(q + 2)**3/3
Let j(b) be the first derivative of b**3 + 6*b**2 + 12*b + 12. Solve j(i) = 0 for i.
-2
Let y be (-6)/2*14/(-63). Let u(f) = f + 2. Let z be u(0). Find s such that 8/3 + y*s**z - 8/3*s = 0.
2
Let z be (-37)/(-7) + (-2)/7. Factor -2*k**4 + k**z - 2*k**4 - 2*k**3 - 3*k**5.
-2*k**3*(k + 1)**2
Find u such that 1/5*u**2 + 4/5*u + 3/5 = 0.
-3, -1
Let o = -10 - -13. Factor -2*b - b**2 + o + 1 - b**2 + 0*b.
-2*(b - 1)*(b + 2)
Let n be 136/(-36) - (-4)/(-18). Let r(t) = -2*t**2 + 2*t + 8. Let z(f) = 3*f**2 - f - 9. Let v(w) = n*z(w) - 5*r(w). Let v(g) = 0. What is g?
-2, -1
Let t(f) = -f**3 - 15*f**2 - f + 5. Let u(n) = 14*n**2 + 2*n - 4. Let j(g) = -4*t(g) - 5*u(g). Factor j(q).
2*q*(q - 3)*(2*q + 1)
Find f, given that 1/3*f**2 - 7/3 + 2*f = 0.
-7, 1
Let a(i) be the third derivative of -i**6/10 - i**5/6 + i**4 - 4*i**3/3 + i**2. Factor a(z).
-2*(z + 2)*(2*z - 1)*(3*z - 2)
Factor -4*u**3 + 3*u - u**3 - u**3 + 5*u - 2*u**4.
-2*u*(u - 1)*(u + 2)**2
Let g(o) be the first derivative of -2*o**3/21 + 2*o**2 - 14*o + 10. Find l, given that g(l) = 0.
7
Suppose -10*x + 14 = -3*x. Let u(k) be the first derivative of 0*k - 1/6*k**3 - 1 - 1/4*k**x. Find b such that u(b) = 0.
-1, 0
Let d be (-1 - -1)/((-6)/3). Let k(t) be the third derivative of -1/840*t**7 - t**2 + 1/96*t**4 + 1/160*t**6 + 0*t + 0*t**3 + d - 1/80*t**5. Factor k(h).
-h*(h - 1)**3/4
Let w be 15/(-20)*(-184)/(-9). Let r = w + 16. Factor -r*b**2 + 0 + 2/3*b.
-2*b*(b - 1)/3
Let s(b) be the third derivative of -b**6/240 - b**5/30 - b**4/48 + b**3/2 - 9*b**2 + 2*b. Factor s(v).
-(v - 1)*(v + 2)*(v + 3)/2
Let l(m) = -2*m. Let n be l(-3). Let o(z) be the second derivative of 0 + 1/24*z**3 + 0*z**2 - 2*z + 1/16*z**4 + 1/120*z**n + 3/80*z**5. Factor o(f).
f*(f + 1)**3/4
Let d = -153 - -155. Let 2/3*j**d + 2*j + 0 = 0. What is j?
-3, 0
Let t(k) = 4*k**2 + 12*k + 3. Let d be t(-3). Let 4/7 - 1/7*r**d + 0*r - 3/7*r**2 = 0. What is r?
-2, 1
Let g(b) be the first derivative of -b - 1 + 1/2*b**4 - 1/3*b**3 - 2*b**2. Let m(x) be the first derivative of g(x). Factor m(z).
2*(z - 1)*(3*z + 2)
Let t(i) = i**3 + 6*i**2 + 6*i + 1. Let b be t(-5). Let g be (-3)/b + -5 + 5. Factor -1/2 + 3*m**2 + g*m + 7/4*m**3.
(m + 1)**2*(7*m - 2)/4
Suppose -17 = -5*r + 2*y, 3*r + 2*y - 7 = 4*y. Let t = -3 + r. Determine o so that 3*o**t + 0*o**2 - 5*o**2 = 0.
0
Suppose -4*m + 11 = -3*q, 0 = -2*m - 0*m + 10. Factor f**q - 2*f**5 + f**5 + 0*f + 0*f.
-f**3*(f - 1)*(f + 1)
Suppose 3*u - 2*s = 0, -5*u = -3*u + s. Let z(j) = j**2 + j + 2. Let n be z(u). Let n*h - 17 + 2*h**2 + 17 = 0. What is h?
-1, 0
Let a(g) = -2*g**3 - 8*g**2 - 6*g - 2. Let j(v) = v**3 + 8*v**2 + 7*v + 3. Let f(u) = -3*a(u) - 2*j(u). Determine p so that f(p) = 0.
-1, 0
Let o(c) be the second derivative of 1/50*c**6 + 0*c**2 - 2*c + 0 + 0*c**3 - 1/70*c**7 + 3/50*c**5 + 0*c**4. Factor o(w).
-3*w**3*(w - 2)*(w + 1)/5
Suppose -d - 2*q = -8, -4*d - 3*q = -46 + 14. Factor 12*x + 8*x**3 + 24*x**2 + 5*x**3 - 6*x**3 + d*x**3 + 3*x**4.
3*x*(x + 1)*(x + 2)**2
Let v(l) be the second derivative of l**4/30 - l**3/6 - 3*l**2/10 - 31*l. Suppose v(i) = 0. Calculate i.
-1/2, 3
Let r(k) be the third derivative of -8*k**7/105 + 2*k**6/15 + k**5/15 - k**4/6 + 49*k**2. What is t in r(t) = 0?
-1/2, 0, 1/2, 1
Let q(t) be the first derivative of t**4/60 - 2*t**3/15 + 3*t**2/10 + 6*t - 9. Let v(g) be the first derivative of q(g). Let v(a) = 0. Calculate a.
1, 3
What is k in -28*k + 7*k**3 + 12*k**5 + 17*k**3 + 32*k**4 + 24*k = 0?
-1, 0, 1/3
Let s(m) = -9*m**2 - 17*m - 15. Let v(i) = i**2 + i + 1. Let b(w) = 2*s(w) + 14*v(w). Factor b(q).
-4*(q + 1)*(q + 4)
Let a be ((-9)/(-15) + -1)/((-2)/10). Factor 4/7*u + 2/7*u**a + 2/7.
2*(u + 1)**2/7
Let p be 1 + 2/(-3)*(-1)/(-1). Factor -1/3*q**4 + 2/3*q - 2/3*q**3 + p + 0*q**2.
-(q - 1)*(q + 1)**3/3
Let z(j) be the first derivative of 2*j**4/7 - 2*j**3/3 + 2*j**2/7 + 2*j/7 - 25. Factor z(t).
2*(t - 1)**2*(4*t + 1)/7
Suppose -2*k = 3*p - 1, 4*p + 2 = -2. Let v(m) be the first derivative of -2*m**3 + 1 + k*m**2 - 1/5*m**5 + m**4 - m. Find x such that v(x) = 0.
1
Solve -2/13*p**3 + 0 - 4/13*p**2 - 2/13*p = 0 for p.
-1, 0
Suppose -2/7 - 8/7*y**3 + 0*y**2 + 6/7*y = 0. Calculate y.
-1, 1/2
Suppose -9 = -5*t - 3*y, 2*y - 4*y = -5*t + 19. Suppose -6*g + d = -3*g - 10, 0 = -2*g - 2*d + 4. Factor 3*a**4 + 0 + t*a**2 - 3/4*a**5 - 9/2*a**g - 3/4*a.
-3*a*(a - 1)**4/4
Suppose 4*j = 5 - 1, 5*b - 4 = -4*j. Suppose 3*d + 0*d = 6. Factor d*h + b*h - 2*h**2 + h**3 - h.
h*(h - 1)**2
Let y(u) be the third derivative of u**8/56 - u**7/105 - u**6/36 - u**5/90 - 4*u**2. Solve y(d) = 0.
-1/3, 0, 1
Let t(s) = s**2 + 4*s + 3. Suppose 5*z + 13 = -2. Let c be t(z). Factor c + 1/3*d + 1/3*d**2.
d*(d + 1)/3
Let k(o) be the first derivative of 1/5*o**3 + 0*o - 3/10*o**2 + 4. Factor k(i).
3*i*(i - 1)/5
Let v(d) = 5*d**3 - d**2 - 36*d. Let z(m) = 30*m**3 - 5*m**2 - 215*m. Let u(s) = -35*v(s) + 6*z(s). S