(m - 7)*(m - 1)**3/4
Let i(a) be the third derivative of a**7/42 - 3*a**6/8 + 7*a**5/6 + 5*a**4 + 3*a**2 - 8*a. Solve i(s) = 0.
-1, 0, 4, 6
Factor -10/3 - 29/9*l + 1/9*l**2.
(l - 30)*(l + 1)/9
Find m, given that -13*m + 2*m**3 - 6 + 1/3*m**5 + 2*m**4 - 20/3*m**2 = 0.
-3, -1, 2
Let n be 3/(0 - -3)*-16. Let c = n + 19. Factor 2/3*x**4 - 2/3*x**2 + 0*x**c + 0 + 0*x.
2*x**2*(x - 1)*(x + 1)/3
Let u(k) be the first derivative of k**8/840 + k**7/210 + 16*k**3/3 + 20. Let v(m) be the third derivative of u(m). Determine f, given that v(f) = 0.
-2, 0
Find g, given that -15/2*g**3 + 2*g + 0 + 9/2*g**4 - 4*g**2 = 0.
-2/3, 0, 1/3, 2
Let a(y) be the second derivative of 5*y**5/4 - 5*y**4/2 + 5*y**3/6 + y + 32. Factor a(u).
5*u*(u - 1)*(5*u - 1)
Solve 6*c**3 - 2*c**4 - 16*c + 0*c**4 - 3272*c**2 + 3284*c**2 = 0.
-2, 0, 1, 4
Let g = 4005783/13 + -308429. Let q = g + 292. Factor 0*a**3 - 16/13*a - q*a**4 + 6/13 + 12/13*a**2.
-2*(a - 1)**3*(a + 3)/13
Let a(s) be the second derivative of -5*s**4/12 - 5*s**3/6 + 15*s**2 - 7*s + 2. Factor a(c).
-5*(c - 2)*(c + 3)
Solve 173*p**2 - 59*p**2 - 60*p**2 + 15*p - 79*p - 58*p**2 - 60 = 0.
-15, -1
Let q be 169 + ((-1)/((-4)/8))/(-2). Factor -144*t**3 - 426*t**3 - q*t - 540*t**2 - 16 + 20*t**3.
-2*(5*t + 2)**2*(11*t + 2)
Let v(b) be the first derivative of -b**4/32 - b**3/12 + 7*b**2/16 - b/2 - 157. Factor v(k).
-(k - 1)**2*(k + 4)/8
Let 0*j + 8/9*j**2 + 2/9*j**4 + 0 + 10/9*j**3 = 0. Calculate j.
-4, -1, 0
Let f(b) be the third derivative of -b**7/630 + b**6/90 - b**5/60 - b**4/18 + 2*b**3/9 - 37*b**2. Factor f(k).
-(k - 2)**2*(k - 1)*(k + 1)/3
Let r(v) be the second derivative of v**6/60 + 3*v**5/10 + 9*v**4/4 + 9*v**3 + 81*v**2/4 + 22*v - 4. Factor r(a).
(a + 3)**4/2
Let x(u) = -u + 17. Let z be x(12). Suppose 4*j - 5 = z*c - 17, c + 2 = 3*j. Let -4*y**j + 4*y**2 + y**2 - 8*y**4 + 3*y**2 - 10*y**3 + 6*y**5 = 0. What is y?
-1, 0, 1/3, 2
Let y(n) be the third derivative of -n**8/26880 - n**7/5040 + 3*n**4/4 + 24*n**2. Let c(k) be the second derivative of y(k). Find f, given that c(f) = 0.
-2, 0
Let q(o) = -o**3 + 4*o**2 + 2*o + 25. Let z be q(5). Factor -z*d + 25 - 3*d**2 + 3*d**2 + d**2.
(d - 5)**2
Suppose 2/5*l**3 - 6/5*l**5 + 0 + 0*l + 8/5*l**4 - 4/5*l**2 = 0. What is l?
-2/3, 0, 1
Let v(m) be the second derivative of -7*m**6/960 - 3*m**5/80 + m**4/16 - 22*m**3/3 + 4*m + 2. Let o(a) be the second derivative of v(a). Factor o(y).
-3*(y + 2)*(7*y - 2)/8
Let c = -2/261 - 3/29. Let k = c - -4/9. Determine q, given that 0 + k*q - 1/3*q**2 = 0.
0, 1
Let u be (15/9)/(115/483) + 13/(-2). Suppose -3*c = 0, 4*m + 2*c - 4 = 4. What is i in -u*i + 1/4 + 1/4*i**m = 0?
1
Suppose -3*j = -2*r + 19, -2*j - 2*r - 35 = j. Let k be 10/24*(-24)/j. Suppose -k*l**3 + 2/3*l**4 + 0 - 2/3*l**2 + 2/9*l + 8/9*l**5 = 0. Calculate l.
-1, 0, 1/4, 1
Let b(v) = v**4 - 11*v**3 + 12*v**2 + 4*v - 14. Let c = -127 - -126. Let q(z) = z**3 - z**2 + 1. Let d(n) = c*b(n) - 6*q(n). Factor d(k).
-(k - 2)**3*(k + 1)
Let i(q) = -6*q + 30. Let b(d) = d**2 + 3*d - 5. Let m be b(2). Let r be i(m). Factor h**2 + r - 1/2*h - 1/2*h**3.
-h*(h - 1)**2/2
Let i = -3769/2 - -1889. Let k(d) be the first derivative of 1/6*d**3 + 3/2*d**2 + 9 + i*d. Find h such that k(h) = 0.
-3
Suppose 4*m - 21 = 11. Factor 12*w**4 - 4 + 6*w - m*w**2 - 5*w + 11*w**3 - 3*w**3 + 4*w**5 - 13*w.
4*(w - 1)*(w + 1)**4
Let q be (32/(-56))/((-8)/28). Let s(b) be the third derivative of 0*b + 1/90*b**5 - 1/9*b**3 - 2*b**q + 0 + 1/8*b**4 - 1/40*b**6. Let s(c) = 0. Calculate c.
-1, 2/9, 1
Let c be (-3)/2*(-8)/(-3). Let o be ((-2)/c)/(8/32). Factor 4 + 3 - 3 + 2*j**2 - o - 4*j.
2*(j - 1)**2
Suppose -8*c - 6729 = -40*c - 2121. Factor 576*j + 16*j**3 + c*j**2 + 864 + 2/3*j**4.
2*(j + 6)**4/3
Let o(m) be the second derivative of -m**6/270 + m**5/10 - 37*m**4/108 - 22*m**3/3 - 242*m**2/9 + 24*m + 4. What is h in o(h) = 0?
-2, 11
Let k(o) be the third derivative of -o**5/210 - o**4/84 + 2*o**3/21 - 13*o**2. Factor k(y).
-2*(y - 1)*(y + 2)/7
Let p be -5 - ((-2)/15 + 1653/(-90)). Let s(w) be the second derivative of -1/5*w**6 - p*w**3 + 0 - 51/20*w**5 + 81/2*w**2 - 4*w - 45/4*w**4. Factor s(n).
-3*(n + 3)**3*(2*n - 1)
Let j be (2/(-4))/(6/(-72)). Suppose 0 = -j*s + s + 10. Determine w so that 5*w - 5*w**s - w**3 + 4*w**4 - 4*w + 4*w**2 - 3*w**2 = 0.
-1, 0, 1/4, 1
Factor -28*p + 53*p**2 + 47*p**2 - 104*p**2 - 48.
-4*(p + 3)*(p + 4)
Let i(y) be the first derivative of -10 + 0*y**2 - y**5 + 0*y**3 + 0*y + 5/4*y**4. Determine s so that i(s) = 0.
0, 1
Determine o, given that -116/5*o + 2/5*o**2 + 114/5 = 0.
1, 57
Let g(f) = 4*f**4 + 15*f**3 - 15*f**2 - 25*f + 21. Let c(l) = 8*l**4 + 29*l**3 - 29*l**2 - 51*l + 43. Let i(m) = 3*c(m) - 5*g(m). Factor i(u).
4*(u - 1)**2*(u + 2)*(u + 3)
Let d(i) be the second derivative of 0 - 1/5*i**3 + 13*i + 2/15*i**4 - 1/30*i**5 + 2/15*i**2. Suppose d(l) = 0. Calculate l.
2/5, 1
Let x be 0 + 7 + -5 - 2. Suppose x = -9*b + b + 32. Factor 0*z + 4/17*z**3 + 0 + 2/17*z**b + 2/17*z**2.
2*z**2*(z + 1)**2/17
Let y(p) = 15*p - 1. Let b = 32 - 29. Let x be y(b). Factor -x*j**2 + 21*j**2 + j**4 + 25*j**2 + 3*j**3.
j**2*(j + 1)*(j + 2)
Determine b, given that 57*b**2 - 119*b**2 + 300*b + 57*b**2 - 4500 = 0.
30
Suppose 0 = -4*h + 8*u - 4*u + 16, 2*u = -4*h + 16. Suppose -3*o + h*o = 2. Determine j so that 6/7*j + 10/7*j**o - 4/7 = 0.
-1, 2/5
Let r(y) be the first derivative of 35 - y + 1/3*y**4 + 2/9*y**3 + 1/15*y**5 - 2/3*y**2. Factor r(k).
(k - 1)*(k + 1)**2*(k + 3)/3
Let w(t) = 2*t**3 - 4*t**2 + 2*t. Let i be w(2). Factor -2*b**5 - 5*b**i - 2*b**4 - b**3 + 5*b**4 + 5*b**5.
b**3*(b - 1)*(3*b + 1)
Let x(w) be the second derivative of -5000*w**7/63 - 3800*w**6/9 - 2870*w**5/3 - 10780*w**4/9 - 16121*w**3/18 - 2401*w**2/6 - 478*w. Solve x(o) = 0 for o.
-1, -7/10
Let m(w) be the third derivative of w**8/1512 - 2*w**7/945 - w**6/135 + w**5/135 + w**4/36 - 2*w**2 + 10. Let m(v) = 0. What is v?
-1, 0, 1, 3
Solve -56*o - 46*o + 4*o**2 + 26*o = 0.
0, 19
Let x = -22076 - -22078. Factor 0*y - 2 + 1/2*y**x.
(y - 2)*(y + 2)/2
Let u(b) be the first derivative of 12/11*b**2 - 3 - 30/11*b + 2/11*b**3. Factor u(g).
6*(g - 1)*(g + 5)/11
Let p = 6 - 2. Let k(w) = -w**3 - 4*w**2 + 2. Let j be k(-4). Factor 3 + f**j - 5 - 4 + p - f.
(f - 2)*(f + 1)
Let f be (-5)/25 + (3486/(-2340))/(-7). Let c(g) be the third derivative of 0*g + 1/390*g**5 + 4*g**2 + 0 + f*g**4 + 1/39*g**3. Factor c(b).
2*(b + 1)**2/13
Suppose -12*w**5 - 28/3*w**2 + 230/3*w**3 - 59*w**4 - 8*w + 0 = 0. What is w?
-6, -1/4, 0, 2/3
Solve 0*n**2 + 2/15*n**3 + 0 - 8/15*n = 0 for n.
-2, 0, 2
Let f(b) be the third derivative of 67*b**6/360 + 13*b**5/36 - 17*b**4/9 + 2*b**3/9 - 562*b**2. Factor f(g).
(g - 1)*(g + 2)*(67*g - 2)/3
Let j(p) be the second derivative of p**7/3360 - p**6/240 + 31*p**3/6 - p. Let t(s) be the second derivative of j(s). Let t(q) = 0. What is q?
0, 6
Let i = -355 - -1807/5. Let i*p**3 + 64/5*p**4 - 156/5*p**2 - 8/5 + 68/5*p = 0. Calculate p.
-2, 1/4, 1
Suppose 5*r - 48 + 2 = -2*q, 3*r - 18 = 2*q. Let t be r/5 + -1 - 2/20. What is u in 3/2*u**2 + 0 + t*u**3 + u = 0?
-2, -1, 0
Let t(n) be the second derivative of n**6/1620 - n**5/540 + n**3/6 - 8*n. Let x(m) be the second derivative of t(m). Factor x(y).
2*y*(y - 1)/9
Let u(i) be the first derivative of 2*i**6/135 - i**5/45 - 2*i**4/27 - i + 17. Let z(l) be the first derivative of u(l). Suppose z(w) = 0. Calculate w.
-1, 0, 2
Let f(h) be the third derivative of -h**6/840 + h**4/56 + h**3/21 - 7*h**2 - 2. Solve f(n) = 0 for n.
-1, 2
Suppose -4*c + 4*d - 20 = -8*c, -2*c - 4*d = -10. Let m(j) be the first derivative of -2/35*j**c - 1/7*j**4 + 0*j**3 + 2/7*j + 2/7*j**2 - 3. Factor m(l).
-2*(l - 1)*(l + 1)**3/7
Let h(z) = -z**3 + 7*z**2 - 9*z - 4. Let g be h(3). Suppose m**g - 2*m**4 + 3*m**4 + 4*m**3 - m**2 - 2*m**5 - 3*m**3 = 0. Calculate m.
-1, 0, 1
Let w be (2 + -1 + 1)*(-246)/(-164). Let b(f) be the second derivative of 1/78*f**4 - 2*f - 1/13*f**w + 2/13*f**2 + 0. Factor b(m).
2*(m - 2)*(m - 1)/13
Let j = 1624 - 1624. Suppose j + 0*w + 0*w**2 + 2/5*w**5 - 1/5*w**4 + 0*w**3 = 0. Calculate w.
0, 1/2
Let w(t) be the second derivative of 3*t**5/140 - 60*t**4/7 + 9600*t**3/7 - 768000*t**2/7 + 44*t - 2. Find n such that w(n) = 0.
80
Let o(s) be the first derivative of -3/10*s**5 - 3*s - 3