 - 1/3*s**3 - 3*s + 2*s**2 = 0. Calculate s.
0, 3
Solve 96 - 45*c - 103*c - 30*c**4 + 2*c**3 + 34*c**4 + 34*c**3 + 12*c**2 = 0.
-8, -3, 1
Let q(d) = 2*d**3 + 4*d**2 - d - 1. Let o be q(-3). Let s be 6/o + (-141)/(-120). Factor 4/5*p - s*p**3 + 2/5*p**4 - 2/5 + 0*p**2.
2*(p - 1)**3*(p + 1)/5
Let r(t) be the third derivative of t**9/15120 + t**8/1260 + t**7/252 + t**6/90 - t**5/20 - 7*t**2. Let x(s) be the third derivative of r(s). Factor x(p).
4*(p + 1)**2*(p + 2)
Let v(p) be the second derivative of -269*p**4/14 + 544*p**3/21 - 4*p**2/7 + 214*p. Determine h so that v(h) = 0.
2/269, 2/3
Let q(k) be the first derivative of k**6/105 + k**5/10 - 17*k**4/42 + 3*k**3/7 - 35*k + 23. Let g(z) be the first derivative of q(z). Let g(l) = 0. Calculate l.
-9, 0, 1
Let v be (6/14)/(2/14). Factor m**2 - 3*m + 2*m**2 - 5*m + 5*m**2 + 6*m**v.
2*m*(m + 2)*(3*m - 2)
Let z be (-4)/(-2 - 2 - -3). Determine v so that 3*v**3 + 3*v**3 - 5*v**4 + 8*v**z = 0.
-2, 0
Let h(p) be the third derivative of 0*p - 1/240*p**5 + 4*p**2 + 1/48*p**4 - 1/24*p**3 + 0. Find a such that h(a) = 0.
1
Let k(y) be the first derivative of 27/10*y**5 - 9/2*y - 19*y**3 - 9/2*y**4 - 15*y**2 + 9. Suppose k(d) = 0. What is d?
-1, -1/3, 3
Let u = -8 + 10. Factor -6 + 18 - r**u - 9 + 2*r.
-(r - 3)*(r + 1)
Suppose 4/19 + 26/19*x + 22/19*x**2 = 0. What is x?
-1, -2/11
Let q(m) be the second derivative of -m**9/1512 + m**8/350 - m**7/525 + 5*m**3 + 12*m. Let t(s) be the second derivative of q(s). Find n such that t(n) = 0.
0, 2/5, 2
Let n(a) = a**3 - 12*a**2 - a + 16. Let k be n(12). Suppose 0 = k*q + u - 2 - 3, 2*q + u - 1 = 0. Factor 8*i + 90*i**3 + 60*i**q + 11*i**4 + 38*i**4 + 36*i**3.
i*(i + 2)*(7*i + 2)**2
Let g(x) be the third derivative of -x**5/90 + 31*x**4/18 - 961*x**3/9 + 14*x**2. Factor g(j).
-2*(j - 31)**2/3
Let n(p) = -p**2 - 5*p - 4. Let w be n(-2). Let h be 4/w - 60/42. Factor -4/7*g + 2/7*g**4 + h*g**3 + 0*g**2 - 2/7.
2*(g - 1)*(g + 1)**3/7
Suppose 5*i - 59 = 5*q - 29, -4*i = -5*q - 30. Let 0*o**3 + i + 4/9*o**2 - 1/9*o**4 + 0*o = 0. Calculate o.
-2, 0, 2
Let v(q) be the first derivative of 4/3*q**2 - 2/9*q**3 - 2*q + 17. Suppose v(k) = 0. What is k?
1, 3
Let s(m) be the first derivative of m**5/190 - m**4/114 - m**3/57 + m**2/19 + 21*m - 9. Let f(i) be the first derivative of s(i). Let f(x) = 0. What is x?
-1, 1
Let x = -415 - -419. Let v(h) be the second derivative of 0*h**4 - x*h + 0 + 0*h**2 - 1/3*h**3 + 1/60*h**6 + 3/40*h**5. Let v(l) = 0. Calculate l.
-2, 0, 1
Let z(k) = 3*k**3 - 35*k**2 - 7*k + 33. Let r(l) = -7*l - 5*l - 35*l**2 + 32 + 2*l**3 + 7*l - 3*l. Let b(j) = 2*r(j) - 3*z(j). Factor b(u).
-5*(u - 7)*(u - 1)*(u + 1)
Let z be (-234)/(-24) - (-2)/8. Let h be (6 + -11)*(-82)/z. Let h*q**4 - 13*q**3 + 21*q**5 + 8*q**2 + 7*q**4 + 46*q**3 - 2*q**2 = 0. Calculate q.
-1, -2/7, 0
Factor 35496*x + 8*x**2 - x**3 - 35500*x - 4*x**2.
-x*(x - 2)**2
Let n(i) be the first derivative of i**4/24 - i**3/4 + 3*i + 17. Let c(b) be the first derivative of n(b). Suppose c(j) = 0. Calculate j.
0, 3
Let t(b) = -3*b - 18. Let a be t(-7). Factor 4 + 8*u**2 - a - 20*u - 3*u**2 + 14.
5*(u - 3)*(u - 1)
Factor -12*w**2 + 9*w**2 - 42 - 30*w - 6.
-3*(w + 2)*(w + 8)
Let d(r) = 7*r - 43. Let x be d(7). Let c(w) be the first derivative of -1/4*w**x - 3/10*w**5 + 1/2*w**3 - 6*w**2 + 15/8*w**4 + 6*w - 4. Factor c(u).
-3*(u - 1)**3*(u + 2)**2/2
Let o(l) be the first derivative of l**3/24 - 87*l**2/8 + 7569*l/8 - 119. Determine k, given that o(k) = 0.
87
Let o(n) be the third derivative of n**5/180 + n**4/9 + 7*n**3/18 - 89*n**2. Suppose o(p) = 0. What is p?
-7, -1
Let r(j) be the second derivative of -j**9/4536 - j**8/2520 + j**7/1260 + j**6/540 - 7*j**3/2 + 3*j. Let t(x) be the second derivative of r(x). Factor t(m).
-2*m**2*(m - 1)*(m + 1)**2/3
Factor 33*u - 1/4*u**2 - 1089.
-(u - 66)**2/4
Let u(a) be the first derivative of 0*a + 3/40*a**5 - 1/48*a**6 - 16 - 1/16*a**4 + 0*a**3 + 0*a**2. Factor u(b).
-b**3*(b - 2)*(b - 1)/8
Let n(s) be the second derivative of 27/2*s**2 + 0 + 3*s**3 + 13*s + 1/4*s**4. Factor n(q).
3*(q + 3)**2
Suppose 15*h - 12 = 18. Factor 22*q - 2*q**5 + 26*q**h + 4*q**4 - 20*q - 30*q**2.
-2*q*(q - 1)**3*(q + 1)
Let y(u) be the first derivative of u**4/30 + 8*u**3/15 + 29*u**2/15 + 12*u/5 - 482. Factor y(l).
2*(l + 1)*(l + 2)*(l + 9)/15
Let c(r) be the second derivative of -r**6/15 - 18*r**5/5 + 115*r**4/6 - 26*r**3 - 80*r - 3. Let c(t) = 0. What is t?
-39, 0, 1, 2
Let v be (-36)/(-90)*2*(-2)/(-24). Let i(m) be the third derivative of 1/600*m**6 - m**2 + 0*m - v*m**3 + 0 + 0*m**5 - 1/40*m**4. Factor i(w).
(w - 2)*(w + 1)**2/5
Suppose i = -5*i - 102. Let g = 20 + i. Factor -1/2 - 1/2*k**4 + 0*k + 0*k**g + k**2.
-(k - 1)**2*(k + 1)**2/2
Factor -110*s**2 + 72*s**3 + 98*s**2 - 28*s**3.
4*s**2*(11*s - 3)
Let u(m) be the third derivative of -m**8/10080 + m**7/2520 + m**6/180 + 9*m**5/20 - 19*m**2. Let c(o) be the third derivative of u(o). Factor c(a).
-2*(a - 2)*(a + 1)
Let v(h) be the first derivative of 2*h**3/45 + 59*h**2/15 + 596. Solve v(j) = 0.
-59, 0
Let d(u) = -3*u**2 + 18*u - 18. Let y(t) be the first derivative of -2*t**3 - 37*t - 3 + 37/2*t**2. Let c(s) = -13*d(s) + 6*y(s). Suppose c(j) = 0. What is j?
2
Let z be 0 + 4 + -4 - -6. Suppose 8 = 3*i + 2*u, -u - 6 = -3*i + 2*i. Find o, given that 3/2*o**5 + 0 + 6*o**i + 9/2*o**3 - z*o - 6*o**2 = 0.
-2, -1, 0, 1
Let w(a) be the second derivative of a**7/70 + 3*a**6/40 + a**5/10 + 16*a**2 - 30*a. Let k(t) be the first derivative of w(t). Suppose k(j) = 0. What is j?
-2, -1, 0
Factor 27/2*x + 3/2*x**2 + 12.
3*(x + 1)*(x + 8)/2
Let i be 17*2*3/6. Suppose -i = -5*b + 13. Factor b*x**4 - 37*x + 41*x - 4*x**3 - 4*x**4 - 4*x**4 + 2*x**2.
-2*x*(x - 1)*(x + 1)*(x + 2)
Suppose 18*y - z - 14 = 14*y, -12 = 2*z. What is q in -3*q**y - 69/7*q - 18/7 = 0?
-3, -2/7
Let s = -10978 + 76962/7. What is a in s*a**2 - 32/7*a**3 - 48/7 + 80/7*a - 20/7*a**4 = 0?
-3, -1, 2/5, 2
Determine t so that 2/7*t**2 + 80/7 - 4*t = 0.
4, 10
Let t(p) be the third derivative of p**7/105 + p**6/10 + 2*p**5/5 + 2*p**4/3 - 140*p**2. Factor t(m).
2*m*(m + 2)**3
Let h = 52594/3 + -17528. Determine g so that -h*g**4 - 8*g**3 - 1/3*g**5 + 25/3*g + 0 + 10/3*g**2 = 0.
-5, -1, 0, 1
Let i(m) be the first derivative of m**6/2 + 21*m**5/5 + 27*m**4/2 + 22*m**3 + 39*m**2/2 + 9*m + 156. Factor i(y).
3*(y + 1)**4*(y + 3)
Let 56*z - 32*z**3 + 32*z**2 + z**4 - 3*z**4 + 6*z**4 - 192 - 18*z + 90*z = 0. Calculate z.
-2, 2, 6
Let p(k) be the first derivative of 0*k**2 - 1/20*k**5 + 4/3*k**3 + 5 + 1/6*k**4 + 1/180*k**6 + 0*k. Let r(w) be the third derivative of p(w). Factor r(s).
2*(s - 2)*(s - 1)
Let m(x) be the second derivative of 0 - 5/3*x**6 - 23/2*x**4 - 4*x**2 - 32*x + 28/3*x**3 + 7*x**5. Factor m(p).
-2*(p - 1)**2*(5*p - 2)**2
Let i = 23/7 - 3. Let w be 436/238 + 10/(-85). Suppose -18/7 - i*r**2 + w*r = 0. What is r?
3
Suppose -6*p + 4*p + 16 = 0. Suppose -15*w + 17*w = p. What is b in -4*b**w + 17*b**3 - 4*b**3 - 9*b**3 = 0?
0, 1
Let m = -25 + 19. Let k(i) = -2*i - 8. Let d be k(m). Factor 2*j + 3*j**d - 3*j**3 - 2*j + 2*j**4 - 12*j**2 - 4*j.
j*(j - 2)*(j + 1)*(5*j + 2)
Let s be 64/(-24) + 3 + 0. Let b(o) be the second derivative of 0 - 7*o + 2/3*o**3 + s*o**4 + 0*o**2. Factor b(v).
4*v*(v + 1)
Let o(x) be the third derivative of -8/3*x**3 + 2/5*x**5 - 7/6*x**4 + 7/30*x**6 - x**2 + 0*x + 0 - 4/105*x**7. Let o(f) = 0. What is f?
-1, -1/2, 1, 4
Factor 7/5*o**3 + 0*o + 0 + o**4 + 1/5*o**5 + 3/5*o**2.
o**2*(o + 1)**2*(o + 3)/5
Let j(c) = -4*c**3 + 2*c**2 + 4*c - 5. Let k be j(2). Let r = k - -24. Factor 0*u**3 + 19*u - 8*u**2 - 7*u**r - u**2 - 7*u + 4.
-(u - 1)*(u + 2)*(7*u + 2)
Find k, given that 10*k**4 + 28 + 86*k**2 - 22*k**4 - 46 + 34 + 22*k**3 + 68*k = 0.
-1, -2/3, -1/2, 4
Let b(r) = 15*r**2 - 106*r - 109. Let w(g) = 33*g**2 - 213*g - 219. Let s(q) = 9*b(q) - 4*w(q). Solve s(t) = 0 for t.
-1, 35
Let o(z) be the first derivative of -z**4/24 - 4*z**3/9 - 5*z**2/12 + 25*z/3 + 41. Factor o(u).
-(u - 2)*(u + 5)**2/6
Let s = -1 - -4. Suppose 677 - 921 = -61*k. Factor 12 + 4/3*h**s + k*h - 20/3*h**2.
4*(h - 3)**2*(h + 1)/3
Let p(a) = -a**3 - a + 3. Let w be p(0). Suppose -m - 16 = w*m + 4*g, 4*m + g = -1. Factor 3*z + 43*z**3 - 2*z + m + z - 45*z**3 - z**4.
-(z - 1)*(z + 1)**3
Let n = -