ose -5*c - 3*c**k - 4*c - 8*c + 8*c = 0. Calculate c.
-3, 0
Let z(t) = -28*t + 286. Let i be z(10). Let s(d) be the third derivative of -1/300*d**i + 0*d**5 + 7*d**2 + 1/20*d**4 + 0*d + 0 - 2/15*d**3. Factor s(a).
-2*(a - 1)**2*(a + 2)/5
Find v, given that -27/7*v - 24/7 - 3/7*v**2 = 0.
-8, -1
What is n in -3*n - 13/4 + 1/4*n**2 = 0?
-1, 13
Find j, given that -280/3*j - 3920/3 - 5/3*j**2 = 0.
-28
Let m(y) be the second derivative of -y**4/9 - 41*y**3/18 - 5*y**2/3 + 80*y. Factor m(t).
-(t + 10)*(4*t + 1)/3
Let u(c) be the third derivative of c**5/270 + 5*c**4/54 + 14*c**2 + 1. Factor u(n).
2*n*(n + 10)/9
Let u(x) be the second derivative of -x**5/150 + 2*x**4/45 + x**3/9 + 5*x - 4. Factor u(k).
-2*k*(k - 5)*(k + 1)/15
Let x be ((-56)/42)/(1/3). Let g(f) = -5*f**2 + 5*f - 4. Let v(m) = 9*m**2 - 9*m + 7. Let h(q) = x*v(q) - 7*g(q). Factor h(b).
-b*(b - 1)
Find i such that 31/2*i**3 - 1/4*i**4 + 0*i - 961/4*i**2 + 0 = 0.
0, 31
Suppose 0 = 117*b - 118*b. Let t(m) be the third derivative of 0*m**6 - 3*m**2 + 0*m**5 + b*m + 0 + 1/1050*m**7 + 0*m**3 + 0*m**4. Let t(v) = 0. Calculate v.
0
Factor -5776*o - 203*o**4 - 109*o**4 + 5179*o**2 - 9838*o**2 - 4*o**5 - 7197*o**2 - 6388*o**3.
-4*o*(o + 1)**2*(o + 38)**2
Let i(v) = 2*v**2 - 4. Let l(n) = 5 + 0 - 5*n**2 + 3*n**2. Let q(t) = 3*i(t) + 2*l(t). Factor q(h).
2*(h - 1)*(h + 1)
Suppose -2*s + 716 = 3*l - 59, 2*s + 500 = 2*l. Let u = -3313/13 + l. Solve -u*d**2 + 2/13*d**3 + 0 + 0*d = 0 for d.
0, 1
Determine n so that -1369/3 + 74/3*n - 1/3*n**2 = 0.
37
Suppose 1107 - 2172 + 328*x + 741 - 4*x**2 = 0. What is x?
1, 81
Let x(m) = m**3 - 6*m**2 - 7*m + 5. Let h be x(7). Let -2*v**2 + 6*v - h*v**3 - 2*v**4 + 4 + 4*v**3 - 5*v**3 = 0. Calculate v.
-2, -1, 1
Determine z so that 365*z**2 - 230*z**3 + 449*z**3 - 6080*z - 21660 - 224*z**3 = 0.
-3, 38
Let l(x) be the third derivative of x**6/24 - x**5/3 - 5*x**4/8 + 15*x**3 - 166*x**2. Determine k so that l(k) = 0.
-2, 3
Let m be -1 - (0 - (9 + -3)). Let l(n) be the second derivative of -4*n**2 + 0 + 1/30*n**6 + 2/3*n**3 + 1/2*n**4 - 1/4*n**m - 3*n. Find c, given that l(c) = 0.
-1, 2
Let r = 15474/10075 - -2/775. Determine u so that r*u**2 - 2/13*u**5 + 2/13 - 10/13*u - 20/13*u**3 + 10/13*u**4 = 0.
1
Let y be 52262/73620 - ((-68)/20 - -3). Let l = y - -1/818. Let 2/9*j**3 - 8/9*j**2 - 4/9 + l*j = 0. Calculate j.
1, 2
Let u = 10 + -7. Let m(c) = -c**3 + 2*c**2 + 4*c + 1. Let y be m(u). Factor 2*q**3 + 7*q**y - 7*q**5 + 2*q**3 + q**4 + 11*q**5.
4*q**3*(q + 1)**2
Let g(f) be the first derivative of -f**4/7 - 4*f**3/21 + 66*f**2/7 - 36*f + 218. Factor g(u).
-4*(u - 3)**2*(u + 7)/7
Let a(h) = -h**2 + h. Let d(n) = -12*n**3 + 4*n**4 - 10*n**2 + 12*n**2 - 4*n**2 + 18*n. Let z(v) = -2*a(v) + d(v). Find i such that z(i) = 0.
-1, 0, 2
Let p(z) be the second derivative of z**5/420 + z**4/168 + 3*z**2 + 26*z. Let w(x) be the first derivative of p(x). Factor w(k).
k*(k + 1)/7
Let b(s) = -s**3 - 13*s**2 - 14*s - 11. Let t be b(-12). Factor w - t*w - 4*w**2 + 2*w - 11*w**2 - 5*w**3.
-5*w*(w + 1)*(w + 2)
Let u(j) be the second derivative of -j**4/114 + 24*j**3/19 - 1296*j**2/19 + 198*j. Factor u(a).
-2*(a - 36)**2/19
Let d be ((-150)/(-125))/((-87)/(-30) - 2). Factor 2/3*r**3 + 10/3*r + d + 8/3*r**2.
2*(r + 1)**2*(r + 2)/3
Let z(c) = -9*c**4 + 3*c**3 - 3*c. Let q(s) = 16*s**4 - 7*s**3 - s**2 + 7*s. Let n(k) = 3*q(k) + 5*z(k). Find m, given that n(m) = 0.
-1, 0, 1, 2
Let z(b) be the second derivative of b**6/120 - 29*b**5/8 + 6911*b**4/16 + 10585*b**3/6 + 5329*b**2/2 + 442*b. What is p in z(p) = 0?
-1, 146
Let u(y) be the second derivative of 14*y + 0 + 1/15*y**6 + 7/60*y**5 + 0*y**4 + 0*y**2 - 1/18*y**3. Find n such that u(n) = 0.
-1, -1/2, 0, 1/3
Let t(h) be the third derivative of h**8/1512 - 38*h**7/945 + 179*h**6/270 + 56*h**5/135 - 1007*h**4/108 - 722*h**3/27 + 263*h**2. Let t(l) = 0. Calculate l.
-1, 2, 19
Let s be ((-1)/(-3))/(-1) - (-1826)/33. Let v = s - 50. Factor 2/3*t - 4/3*t**2 - 4/3*t**3 + 2/3 + 2/3*t**4 + 2/3*t**v.
2*(t - 1)**2*(t + 1)**3/3
Let i(y) be the third derivative of -y**10/166320 - y**9/83160 + 5*y**4/12 + 10*y**2. Let m(c) be the second derivative of i(c). Factor m(p).
-2*p**4*(p + 1)/11
Let w be (-20)/15 + (-630)/(-108). Factor 3/2*g**3 + w*g**2 + 9/2*g + 3/2.
3*(g + 1)**3/2
Let y(b) be the first derivative of b**6/30 - 2*b**5/5 + 2*b**4 - 16*b**3/3 + 8*b**2 - 18*b + 38. Let d(f) be the first derivative of y(f). Factor d(g).
(g - 2)**4
Let q(v) be the third derivative of -v**7/105 + v**6/12 - v**5/15 - 2*v**4/3 + 2*v**2. Suppose q(w) = 0. What is w?
-1, 0, 2, 4
Let m(g) be the third derivative of -5*g**8/2016 + g**7/630 + g**6/144 - g**5/180 + 75*g**2. Find d such that m(d) = 0.
-1, 0, 2/5, 1
Let y be 4/(-28) - (0 - 88/28). Suppose d = y*d. Determine r so that -2/7*r**2 - 4/7*r**3 + d*r + 0 = 0.
-1/2, 0
Suppose -3*g = 4*p - 9, -16*g + 12*g = -3*p - 12. Suppose p*h + 0 + 0*h**2 - 2/7*h**3 = 0. Calculate h.
0
Factor 3/5*k**2 + 21/5*k + 6.
3*(k + 2)*(k + 5)/5
Factor 50*z**2 - 5*z**3 - 64*z**2 + 9*z**3.
2*z**2*(2*z - 7)
Let y = 2785/9527 - 9/1361. Factor 2/7*x**3 - y*x**2 + 0 + 0*x.
2*x**2*(x - 1)/7
Let -3*c**2 - 47/5*c - 33/5 - 1/5*c**3 = 0. What is c?
-11, -3, -1
Suppose 0 = -3*l + 6 - 0. Factor -20*m**2 + 6*m**3 + 5*m**2 + 12*m**l.
3*m**2*(2*m - 1)
Let k(g) be the first derivative of -g**3/5 + 3*g**2 - 48*g/5 + 275. Factor k(t).
-3*(t - 8)*(t - 2)/5
Let a(g) = -19*g**3 - 66*g**2 - 64*g + 34. Let x(i) = -i**3 + 2. Let q(d) = -2*a(d) + 10*x(d). Determine b so that q(b) = 0.
-3, -2, 2/7
Factor -8/9 - 46/9*m**2 - 14/9*m**3 - 40/9*m.
-2*(m + 1)*(m + 2)*(7*m + 2)/9
Let f be ((-20)/(-240))/(3/32). Solve f*t - 2/3*t**4 + 0 - 14/9*t**3 + 0*t**2 = 0.
-2, -1, 0, 2/3
Let z be (111/259)/((-2)/(-14)). Let t(p) be the third derivative of 1/2*p**4 + 1/30*p**5 + 3*p**z + 4*p**2 + 0 + 0*p. Factor t(a).
2*(a + 3)**2
Factor -5/4*t**2 - 115/4*t - 55/2.
-5*(t + 1)*(t + 22)/4
Let r(c) = 25*c**4 - 39*c**3 - 153*c**2 - 80*c + 27. Let y(g) = 6*g**4 - 10*g**3 - 38*g**2 - 20*g + 6. Let h(a) = -2*r(a) + 9*y(a). Factor h(w).
4*w*(w - 5)*(w + 1)**2
Let f(r) = -r**4 - r**3 + 3*r**2 - r - 1. Let l(b) = -7*b**4 + 50*b**3 - 95*b**2 + 52*b - 8. Let i(d) = 24*f(d) - 3*l(d). Solve i(j) = 0.
-60, 0, 1
Let l(k) be the second derivative of -k**5/150 + k**4/30 + 2*k**3/15 - 8*k**2/15 + 3*k - 17. Factor l(c).
-2*(c - 4)*(c - 1)*(c + 2)/15
Let z = -44 + 5. Let h be (1/3)/((-1)/z). Suppose -9 - 8*g + 1 - h*g - 10 + 9*g**2 = 0. Calculate g.
-2/3, 3
Let f = 179/3 - 59. Let x(a) be the first derivative of f*a**3 - 4/5*a**2 + 2/5*a - 1/5*a**4 - 5. Factor x(v).
-2*(v - 1)**2*(2*v - 1)/5
Let n(d) be the first derivative of 49*d**6/27 + 28*d**5/9 - 26*d**4/9 + 16*d**3/27 - 109. Suppose n(m) = 0. Calculate m.
-2, 0, 2/7
Let p(w) = -20*w**3 - 4*w**2 + 28*w - 4. Suppose 4*y + 22 - 18 = 0. Let f(s) = -s + 1. Let u(x) = y*p(x) - 4*f(x). Let u(r) = 0. Calculate r.
-6/5, 0, 1
Factor 0 + 2/5*a**2 - 4/15*a - 2/15*a**3.
-2*a*(a - 2)*(a - 1)/15
Suppose 0*f + 4*f - 8 = 0. Factor -27*z**f + 60*z**2 + z**3 - 30*z**2.
z**2*(z + 3)
Let q(c) = 2*c**2 + 22*c - 52. Let j be q(-13). Let v(f) be the third derivative of -5/204*f**4 + j*f - 1/510*f**5 - 4/51*f**3 - 7*f**2 + 0. Factor v(s).
-2*(s + 1)*(s + 4)/17
Let -6*l**2 + 9/4*l**4 - 12 - 15/4*l**5 - 36*l + 24*l**3 = 0. Calculate l.
-2, -1, -2/5, 2
Let t(z) be the second derivative of z**7/5040 + z**6/720 + z**5/240 - z**4/6 + 3*z. Let x(k) be the third derivative of t(k). Factor x(i).
(i + 1)**2/2
Suppose 5*b = 3*c, 5*b = -0*c - c. Let d(m) be the third derivative of 0*m**4 - 1/45*m**3 + 0 - 7*m**2 + c*m + 0*m**6 + 1/225*m**5 - 1/1575*m**7. Factor d(s).
-2*(s - 1)**2*(s + 1)**2/15
Let a(j) = -j**2 + 9*j + 6. Let b be a(9). Suppose 0 = -5*c + b*c - 13. Factor 5*w**3 - 14*w**4 - w**3 + 19*w**5 - c*w**5.
2*w**3*(w - 2)*(3*w - 1)
Let s(b) be the first derivative of -3*b**4/20 - 42. Factor s(c).
-3*c**3/5
Let h be (2 + 156/(-64))*66/(-77). Factor -h*d - 3/8*d**2 + 0.
-3*d*(d + 1)/8
Factor -24/7*u**2 + 0 + 4/7*u**3 + 20/7*u.
4*u*(u - 5)*(u - 1)/7
Suppose 0 = 3*z - 2*q - 3, -2*z = 3*z - 4*q - 3. Let b be 10/(-1)*3/(-6). Let 61*i - 3*i**3 - 61*i + z*i**b = 0. Calculate i.
-1, 0, 1
Suppose 2*t - 850 = -2*x, 905 + 1215 = 5*t + 4*x. Let y be 1/6 + 170/t. Factor -6/7*z**3 - y*z**2 + 