/72 - 85*v**3/36 + 29*v**2/2 - 1350*v. Find a such that s(a) = 0.
-87, 2
Let d(m) be the second derivative of -1/14*m**4 + 0 + 1/14*m**5 - 4/21*m**3 + 0*m**2 - 1/147*m**7 + 1/35*m**6 + 46*m. Determine x, given that d(x) = 0.
-1, 0, 1, 4
Factor -76/7*g**2 + 62/7*g + 2.
-2*(g - 1)*(38*g + 7)/7
Let d = -133 + 131. Let j(r) = r**4 - 15*r**3 + 33*r**2 - 34*r + 12. Let y(n) = -n**4 - n**3 - n**2. Let i(x) = d*j(x) + 2*y(x). Factor i(p).
-4*(p - 3)*(p - 2)*(p - 1)**2
Let u(g) be the third derivative of g**6/240 + 37*g**5/60 - 1183*g**4/48 + 1078*g**3/3 + 20*g**2 - 57. Factor u(x).
(x - 7)**2*(x + 88)/2
Let p(l) be the second derivative of -l**7/147 + 2*l**6/21 - 9*l**5/70 - 2*l + 509. Determine a so that p(a) = 0.
0, 1, 9
Let z = -4015 + 24095/6. Let k(r) be the second derivative of 10/3*r**3 + 0 + 7*r + z*r**4 - 1/4*r**5 - 20*r**2. Factor k(u).
-5*(u - 2)**2*(u + 2)
Let a(d) = -11*d**2 - 126*d - 195. Let c(z) = -21*z**2 - 261*z - 390. Let p(r) = 15*a(r) - 8*c(r). Find b, given that p(b) = 0.
-65, -1
Factor 0 - 9/2*h**2 - 11/4*h**3 + 1/4*h**5 + 0*h**4 - 2*h.
h*(h - 4)*(h + 1)**2*(h + 2)/4
Let p(g) be the second derivative of -2*g + 8/3*g**7 + 116/45*g**6 + 1/18*g**3 + 37 + 1/3*g**2 - 7/3*g**4 - 187/60*g**5. Let p(k) = 0. What is k?
-1, -1/4, 1/7, 2/3
Let y(g) be the third derivative of -g**7/8820 + g**6/630 + 11*g**4/8 + g**3/6 + 2*g**2 + 31*g. Let o(w) be the second derivative of y(w). Factor o(a).
-2*a*(a - 4)/7
Let k(g) be the first derivative of -g**5/10 - 4*g**4 - 335*g**3/6 - 316*g**2 - 480*g + 1103. Factor k(r).
-(r + 1)*(r + 8)**2*(r + 15)/2
Let b(m) be the third derivative of -m**5/60 + 239*m**4/6 - 114242*m**3/3 + 8*m**2 - 18. Factor b(p).
-(p - 478)**2
Let m(k) be the third derivative of k**9/453600 + 17*k**8/151200 + 15*k**5/4 - 12*k**2 + 3. Let a(s) be the third derivative of m(s). Factor a(i).
2*i**2*(i + 17)/15
Let n(y) be the third derivative of y**5/180 - 5*y**4/72 - 76*y**3/3 - y**2 - 480*y - 2. Factor n(t).
(t - 24)*(t + 19)/3
Let n = -497 - -500. Determine r, given that 7581 + 4*r**n - 7581 + 44*r**2 = 0.
-11, 0
Determine q, given that -5437824*q + 5712*q**2 + 509*q**3 - 511*q**3 - 52272384 + 181785842 + 1596089358 = 0.
952
Let a(t) be the second derivative of t**9/5040 - t**8/672 + t**7/270 - t**6/270 + 205*t**4/12 + 4*t - 15. Let y(o) be the third derivative of a(o). Factor y(k).
k*(k - 2)*(3*k - 2)**2/3
Let t(h) be the third derivative of -1/20*h**5 + 84*h**2 + 1/8*h**4 + 0 - 1/8*h**3 + 0*h. Factor t(k).
-3*(2*k - 1)**2/4
Let m be (-1360)/(-220) - 8/44. Let q be (m - -2)*21/924. Solve -q*x**4 + 8/11*x**2 + 8/11*x + 0 - 2/11*x**3 = 0 for x.
-2, -1, 0, 2
What is f in -125392 - 4*f**2 + 8084*f + 125392 = 0?
0, 2021
Let b be (-2)/(-5)*(1092/182 + (-21)/4). Let a(y) be the first derivative of 0*y**3 - 27/5*y**2 + b*y**4 + 0*y + 30. Let a(p) = 0. Calculate p.
-3, 0, 3
Let s(o) be the second derivative of -o**5/150 + 8*o**4/45 + 7*o**3/9 + 6*o**2/5 - 2*o + 50. Solve s(l) = 0.
-1, 18
Let x(u) be the third derivative of -9*u**8/1400 + 468*u**7/125 - 99372*u**6/125 + 24114272*u**5/375 + 2981*u**2. Factor x(d).
-2*d**2*(3*d - 364)**3/25
Let n(t) = 4*t**3 + 1434*t**2 - 2859*t - 95. Let k(z) = -6*z**3 - 2152*z**2 + 4288*z + 152. Let y(x) = 5*k(x) + 8*n(x). Suppose y(f) = 0. What is f?
-358, 0, 2
Let p be ((-2)/3 - (-38)/12)*2. Suppose 0*t**2 + 35*t**2 - 38*t - 35*t**p - 10*t**2 + 28*t - 25*t**4 + 45*t**3 = 0. What is t?
-1, 0, 2/7, 1
Let g(v) = 10*v**4 + 134*v**3 + 282*v**2 + 130*v - 4. Let i(t) = -8*t**4 - 135*t**3 - 279*t**2 - 131*t + 3. Let w(q) = 3*g(q) + 4*i(q). Factor w(p).
-2*p*(p + 1)**2*(p + 67)
Let j(k) = 77*k**2 + 63*k - 13. Let z(o) = -39*o**2 - 31*o + 6. Suppose 0 = 4*d - 21 - 3. Let m(x) = d*j(x) + 13*z(x). Find v, given that m(v) = 0.
-5/9, 0
Let s(n) be the first derivative of n**5 + 45*n**4/4 + 40*n**3 + 40*n**2 - 4989. Factor s(h).
5*h*(h + 1)*(h + 4)**2
Let g = -11/1206 - -1513/603. Let h(r) be the first derivative of -35/8*r**2 + 5/4*r**4 - 25/12*r**3 + 29 + g*r. Factor h(j).
5*(j - 2)*(j + 1)*(4*j - 1)/4
Let u be (5140/60)/((-136)/(-16) + -6). Let q(s) be the first derivative of 44/5*s**4 + 33 - u*s**3 + 224/25*s**5 + 48/5*s**2 + 72/5*s. What is t in q(t) = 0?
-2, -2/7, 3/4
Let x(f) be the first derivative of -f**6/60 + 13*f**5/20 - 47*f**4/8 - 91*f**3/3 - 49*f**2 + 62*f - 143. Let m(v) be the first derivative of x(v). Factor m(g).
-(g - 14)**2*(g + 1)**2/2
Let w = 68 + -65. Let d(c) = -4*c**3 - 114*c**2 - 4332*c - 54872. Let a(j) = -9*j**3 - 228*j**2 - 8664*j - 109744. Let r(m) = w*a(m) - 7*d(m). Factor r(h).
(h + 38)**3
Let y(n) be the second derivative of 5*n**4/12 - 517*n**3/6 - 156*n**2 - 1118*n. Solve y(r) = 0.
-3/5, 104
Let s be (281/2529)/((-5)/(-6)). Let p(h) be the first derivative of 10 - 6/5*h - s*h**3 + 4/5*h**2. Factor p(z).
-2*(z - 3)*(z - 1)/5
Let k = 8963/12 + -2985/4. Let s(v) be the first derivative of -7 - k*v**3 + 4*v - v**2. Factor s(z).
-2*(z - 1)*(z + 2)
Suppose 4*u - 8 = -278*c + 274*c, 0*u + 2 = u. Let -6/23*x**3 + 0*x - 2/23*x**5 + 2/23*x**2 + c + 6/23*x**4 = 0. Calculate x.
0, 1
Let w be -1*3 - 5*(-30)/25. Factor -60*v**4 + 28*v**4 - 9*v + 36*v**4 + 12*v**w - 3*v**2 - 3 - v.
(v - 1)*(v + 3)*(2*v + 1)**2
Let m = 7315/4604 + -390/1151. Factor 2 - 1/2*r**2 - 5*r + m*r**3.
(r - 2)*(r + 2)*(5*r - 2)/4
Let n(f) be the first derivative of -f**6/3 + 4*f**5/5 + 3*f**4/2 + 319. Determine o, given that n(o) = 0.
-1, 0, 3
Let h(f) be the third derivative of 0 + 1/52*f**4 - 1/39*f**3 - f**2 + 2/195*f**5 - 50*f. Factor h(g).
2*(g + 1)*(4*g - 1)/13
Let t(f) be the second derivative of f**5/15 + f**4/6 - 8*f**3 - 15*f**2 + 57*f. Let i(u) be the first derivative of t(u). Solve i(v) = 0 for v.
-4, 3
Let t(d) = 23 + 25 + 25 - 70 - 141*d. Let q be t(-1). Factor -3*h**2 - q - 10*h + h + 144.
-3*h*(h + 3)
Let x = 3766 - 1355759/360. Let t(p) be the third derivative of 1/36*p**3 + 0 + 0*p + 1/72*p**4 + x*p**5 - 18*p**2. Factor t(b).
(b + 1)**2/6
Let v(a) be the first derivative of a**6/18 - 4*a**5/15 - 37*a**4/12 + 124*a**3/9 - 14*a**2 + 589. Suppose v(b) = 0. Calculate b.
-6, 0, 1, 2, 7
Let z = 75163 + -75161. Solve 8/7*n**3 + 2/7*n**4 - 26/7*n**z - 80/7*n + 96/7 = 0.
-4, 1, 3
Find t, given that -73 - 4*t**2 + 1252*t + 1870 + 1668*t + 1127 = 0.
-1, 731
Let u be 810/162*(3*(-5)/(-25))/((-15)/(-10)). Suppose 5/3 + p - 2/3*p**u = 0. Calculate p.
-1, 5/2
Let c(s) be the second derivative of 5*s**4/12 + 185*s**3/3 + 360*s**2 + 915*s. Let c(x) = 0. What is x?
-72, -2
Let j be 11 - ((-4)/(-80))/((-18)/(-3870)). Suppose -4*k - 2*i = 2*i + 8, 0 = 4*i + 16. Factor -3/2 - j*a**k + 5/4*a.
-(a - 3)*(a - 2)/4
Suppose 70*n - 125 - 40 = 45. Factor 5*v**2 + 2*v**n + 0 + 1/5*v**4 + 0*v.
v**2*(v + 5)**2/5
Let z(o) be the second derivative of o**6/15 - 7*o**5/10 - 5*o**4/3 + 16*o**3/3 + 17*o - 5. Factor z(m).
2*m*(m - 8)*(m - 1)*(m + 2)
Let z(c) = -3*c**2 - 9*c + 2. Let g = -167 + 142. Let w(k) = 35*k**2 + 110*k - 25. Let f(o) = g*z(o) - 2*w(o). Find x such that f(x) = 0.
-1, 0
Suppose -3*j + 9 - 3 = 0. Suppose -s = 4*u - j, 0 = -5*s + 6*s - u - 2. Factor 64/7*d + 76/7*d**3 + 4*d**4 + 16/7 + 4/7*d**5 + 100/7*d**s.
4*(d + 1)**3*(d + 2)**2/7
Let z(y) be the second derivative of -y**4/84 - 88*y**3/21 - 25*y**2/2 + 2*y - 638. What is s in z(s) = 0?
-175, -1
Factor 4/3*r**4 + 0 - 92/3*r**3 + 560/3*r**2 - 784/3*r.
4*r*(r - 14)*(r - 7)*(r - 2)/3
Let w be ((-686)/(-3430))/((-1)/(-18)*3). Suppose -2*d**2 + 2/5*d**3 - w + 14/5*d = 0. What is d?
1, 3
Suppose 23*n - 174 = 18*n - 4*z, -4*n = 3*z - 140. Suppose 104 - n = 33*t. Let 6/17*j + 0*j**t - 4/17 - 2/17*j**3 = 0. What is j?
-2, 1
Let t be (5 - 1)*((-32)/(-6) + -5). Let f(s) be the first derivative of -2*s**2 + 0*s - t*s**3 + 12. Factor f(l).
-4*l*(l + 1)
Let v = 38171/12 - 9521/3. Factor 1/4*b**2 + 7 - v*b.
(b - 28)*(b - 1)/4
Factor 8*c**3 - 105 - 56*c**3 + 6*c**3 + 468*c**2 - 26*c**3 + 25 - 624*c.
-4*(c - 5)*(c - 2)*(17*c + 2)
Let j(p) be the first derivative of p**5/360 - p**3/36 + 21*p**2/2 - 37. Let i(u) be the second derivative of j(u). Suppose i(q) = 0. Calculate q.
-1, 1
Let k(h) = 3*h - 10. Let y be k(5). Solve y*f**3 - 25 + 2*f - 22*f + 25 = 0 for f.
-2, 0, 2
Let t(h) be the first derivative of 36*h + 51 + 6*h**2 + h**4 - 20/3*h**3. Factor t(c).
4*(c - 3)**2*(c + 1)
Let o(x) b