 1052*y**2 = 0. Calculate y.
1/10, 1/3
Let q(l) be the first derivative of -l**5/30 - 5*l**4/12 - 4*l**3/3 - 31*l**2/2 + 65. Let s(k) be the second derivative of q(k). Factor s(i).
-2*(i + 1)*(i + 4)
Suppose -25*r - 76 + 176 = 0. Let x(u) be the second derivative of 0*u**2 + r*u + 1/3*u**4 + 1/5*u**5 - 4/3*u**3 + 0. Solve x(w) = 0.
-2, 0, 1
Let g(d) be the first derivative of -50*d**6/9 - 532*d**5/3 + 98*d**4 + 2552*d**3/9 - 538*d**2/3 + 36*d + 1950. Let g(c) = 0. Calculate c.
-27, -1, 1/5, 1
Find f, given that f**4 - 1/3*f**5 - 49/3 + 46/3*f**3 - 146/3*f**2 + 49*f = 0.
-7, 1, 7
Suppose -1739*k + 4*h - 12 = -1743*k, 2*k - 3*h = 6. Let c(l) be the first derivative of 6/23*l**2 + 18/23*l + 2/69*l**k - 10. Let c(u) = 0. Calculate u.
-3
Let c = 145 + -142. Let d be (-4)/c*(17 - 20). Factor d + 23/2*j**3 - 21*j**2 - 2*j**4 + 10*j.
-(j - 2)**3*(4*j + 1)/2
Factor -363/2*r**3 - 196/3 - 1022/3*r - 517*r**2.
-(r + 2)*(33*r + 14)**2/6
Let b(m) be the third derivative of m**8/1344 - 11*m**7/140 + 41*m**6/80 + 17*m**5/30 - 245*m**4/32 - 93*m**3/4 + 2*m**2 + 68. Solve b(h) = 0 for h.
-1, 3, 62
Let b(n) be the third derivative of 1/2625*n**7 + 0 + 4*n**2 + 1/25*n**4 + 4/75*n**3 + 2*n + 1/250*n**6 + 13/750*n**5. Factor b(q).
2*(q + 1)**2*(q + 2)**2/25
Let f(m) = -5*m**2 + 33*m + 26. Let g(t) = 16*t**2 - 102*t - 79. Let n(i) = -13*f(i) - 4*g(i). Solve n(b) = 0.
-1, 22
Let b(a) = 49*a**4 + 75*a**3 - 66*a**2 - 54*a - 6. Let y(d) = -d**3 - d + 1. Let g be (5 - -3)*5/20. Let v(n) = g*y(n) - b(n). Solve v(z) = 0 for z.
-2, -2/7, 1
Let -9368*g**3 + 364*g**4 + 413124/7*g**2 - 2704/7 + 113984/7*g = 0. Calculate g.
-2/7, 2/91, 13
What is v in 2*v**2 + 191 + 54 + 3*v**2 + 254*v - 55 - 449*v = 0?
1, 38
Let m be (-3)/7 - 15600/(-5040). Let s(v) be the second derivative of 12*v**2 + 0 + m*v**4 - 1/5*v**5 - 26/3*v**3 + 5*v. Let s(g) = 0. What is g?
1, 6
Let c = 2422 - 2422. Let d(n) be the first derivative of 0*n**2 + c*n + 1/15*n**5 - 1/12*n**4 - 2/9*n**3 - 16. Solve d(m) = 0 for m.
-1, 0, 2
Suppose 0 = 20624*l - 20809*l + 555. Factor -130/11*h - 2/11*h**l - 28/11*h**2 - 200/11.
-2*(h + 4)*(h + 5)**2/11
Suppose 3*y + 4109*l = 4107*l + 8, -3*l + 12 = 0. Let b(k) be the first derivative of -19 - 1/8*k**2 - 1/24*k**3 + y*k. Factor b(i).
-i*(i + 2)/8
Let t(m) be the second derivative of -231361*m**4/30 - 962*m**3/15 - m**2/5 + 1083*m. Factor t(f).
-2*(481*f + 1)**2/5
Let r be (-6*(-1)/14 - -15)/((-180)/(-126)). Suppose -3/5*u**2 + 9/5*u + r = 0. What is u?
-3, 6
Let w(d) be the first derivative of -d**3/5 + 141*d**2/10 + 1118. What is v in w(v) = 0?
0, 47
Suppose -3*i = -5*i + 5*m - 459, -5*m - 489 = 2*i. Let x = -1657/7 - i. Factor x*c**2 + 6/7*c + 4/7.
2*(c + 1)*(c + 2)/7
Let f(v) be the first derivative of -3*v**6/80 + 13*v**5/40 + 3*v**4/16 - v**3/3 + 7*v + 44. Let q(y) be the third derivative of f(y). Factor q(s).
-3*(s - 3)*(9*s + 1)/2
Let z(p) be the second derivative of 12/13*p**2 - 16/39*p**3 + 0 + 2/65*p**5 - 1/195*p**6 + 1/78*p**4 - 34*p. Find k, given that z(k) = 0.
-2, 1, 2, 3
Let p = -12483 + 37451/3. Let q(a) be the first derivative of p*a**3 + 8*a - 8 - 8*a**2 + 3/2*a**4. Solve q(d) = 0 for d.
-2, 2/3, 1
Let t(s) be the first derivative of -18*s**5/35 + 463*s**4 - 782862*s**3/7 + 2580492*s**2/7 - 1031048*s/7 + 14105. Determine h, given that t(h) = 0.
2/9, 2, 359
Let u(s) be the first derivative of s**6/2 + 12*s**5 - 3*s**4/4 - 20*s**3 - 3427. Solve u(b) = 0.
-20, -1, 0, 1
Let h = 16 + -13. Let n be (1 + 12/(-10))/(84/(-140)). Suppose -2/3*c**h + n - c**2 + 0*c = 0. What is c?
-1, 1/2
Let z = -119279 - -119281. Factor 0 - 16/3*s**z + 4/3*s**3 - 20/3*s.
4*s*(s - 5)*(s + 1)/3
Let l(f) be the second derivative of f**6/1440 - 47*f**5/480 + 23*f**4/48 + 7*f**3/6 + 6*f**2 - 78*f. Let u(b) be the second derivative of l(b). Solve u(c) = 0.
1, 46
Solve -298*d**2 - 156 + 311*d + 231*d + 19222*d**4 - 320*d**3 - 19230*d**4 = 0 for d.
-39, -2, 1/2
Let i(p) be the first derivative of -25/4*p**4 + 0*p + 5/3*p**3 - 55 + 0*p**2 - 11/4*p**5. Solve i(h) = 0.
-2, 0, 2/11
Suppose -18*f + 122 - 222 = -5*f - 139. Determine r, given that -4/7 + 8/21*r**2 - 2/21*r**f - 2/21*r = 0.
-1, 2, 3
Let c be (-96)/(-39) + (-1374)/2977. Let -28/3*m**3 + 148/3*m**c - 208/3*m + 16 = 0. What is m?
2/7, 2, 3
Let k(d) = d**4 + d**2. Let l be (-1)/(21/12 - 2). Let z = -159 - -115. Let x(o) = 10*o**4 + o**3 + 15*o**2 - 4*o. Let g(f) = l*x(f) + z*k(f). Factor g(q).
-4*q*(q - 2)*(q - 1)*(q + 2)
Let a(s) be the first derivative of -532*s**2 - 84*s + 1038*s**2 + 159 + s**3 - 524*s**2. Find b such that a(b) = 0.
-2, 14
Let s(x) be the first derivative of -x**7/840 - x**6/120 + x**5/30 + x**4/2 - 101*x**3/3 + 35. Let q(c) be the third derivative of s(c). Factor q(o).
-(o - 2)*(o + 2)*(o + 3)
Let b be 14/7*(0 - (2 + -3)). Let d be b*6/336 - 1/(-4). Factor 2/7*y - 2/7*y**3 - d*y**4 + 0 + 2/7*y**2.
-2*y*(y - 1)*(y + 1)**2/7
Let h(o) be the second derivative of -o**7/2520 + o**6/270 + o**5/120 + o**4/6 + 10*o**3/3 - 34*o. Let d(u) be the third derivative of h(u). Factor d(n).
-(n - 3)*(3*n + 1)/3
Let g(d) be the first derivative of d**4/5 - 4*d**3/15 - 4*d**2/5 + 1706. Factor g(l).
4*l*(l - 2)*(l + 1)/5
Let s be (-566)/(-6) + (-4)/(-6). Let p = -93 + s. Factor 28 - 22 - 9*v - 4*v**p - v.
-2*(v + 3)*(2*v - 1)
Suppose -1400*n + 939*n + 922 = 0. Let 1/3*c**n + 22/3*c + 121/3 = 0. What is c?
-11
Let f(r) be the third derivative of -r**6/30 + 14*r**5/5 - 221*r**4/6 + 120*r**3 - 3771*r**2. Factor f(u).
-4*(u - 36)*(u - 5)*(u - 1)
Let q(w) be the first derivative of -w**4/4 - w**3 - 3*w**2/2 + w + 42. Let p(o) be the first derivative of q(o). Suppose p(v) = 0. What is v?
-1
Let s(f) be the second derivative of -17 - 2*f**2 - 4*f - 17/27*f**3 + 1/54*f**4. Factor s(y).
2*(y - 18)*(y + 1)/9
Let v(q) be the third derivative of q**6/60 + 9*q**5/10 + 6*q**4 - 502*q**2. Factor v(y).
2*y*(y + 3)*(y + 24)
Factor -2/7*p**2 + 120/7 - 22/7*p.
-2*(p - 4)*(p + 15)/7
Suppose -9*x - y = -41, 2*x - 4*y - 4 = -16. Let s(a) be the third derivative of 2*a**3 + 2/15*a**5 + 0*a + 5/6*a**x + 0 + 18*a**2. Find j such that s(j) = 0.
-3/2, -1
Let j(q) = q**3 + 3*q - 3. Let f be j(3). Factor 7*h - 374 + f*h**2 - h + 374.
3*h*(11*h + 2)
Let u(y) be the first derivative of 6*y**2 + 0*y - 3/8*y**4 - 12 + 1/5*y**5 - 1/2*y**3. Let f(g) be the second derivative of u(g). What is p in f(p) = 0?
-1/4, 1
Let m(y) be the second derivative of -y**4/16 - 254*y**3 + 6099*y**2/8 + 10*y - 10. Solve m(h) = 0 for h.
-2033, 1
Let r = 1533/59 - 16745/649. Factor r*u**2 - 4/11 - 2/11*u.
2*(u - 2)*(u + 1)/11
Let k(u) be the second derivative of -u**6/360 - u**5/15 - 7*u**4/24 + 37*u**3/6 - u**2 - 4*u. Let c(h) be the second derivative of k(h). Factor c(a).
-(a + 1)*(a + 7)
Let d = -301479/5 - -60535. Let c = d - 239. Factor -2/5*f**3 + 0 - 1/5*f**2 + c*f.
-f*(f + 1)*(2*f - 1)/5
Solve 2651*w + 63*w**2 - 931*w - 1722 - 61*w**2 = 0 for w.
-861, 1
Let n(a) = -60*a + 421. Let m(c) = c**3 - 25*c**2 + 112*c + 45. Let l be m(19). Let b be n(l). Let -1/4*q**3 - 2*q + b + 5/4*q**2 = 0. What is q?
1, 2
Suppose -97*h - 84 = -472. Find z, given that 1/8*z**2 + h*z + 32 = 0.
-16
Let f(x) be the third derivative of x**7/42 + 9*x**6/4 + 143*x**5/4 + 685*x**4/3 + 600*x**3 + 2249*x**2. Factor f(q).
5*(q + 1)*(q + 4)**2*(q + 45)
Suppose 23*g = 34 + 173. Let r be (15/(-50))/(g/(-18)). Let 12/5 + 3/5*d**3 - 12/5*d**2 - r*d = 0. What is d?
-1, 1, 4
Factor -8/5*q**2 + 24/5*q + 0 - 2/5*q**3.
-2*q*(q - 2)*(q + 6)/5
Factor 53870*o + 1817092*o**3 - 21600*o**4 + 47896*o + 12478*o + 912600*o**2 + 64*o**5.
4*o*(o - 169)**2*(4*o + 1)**2
What is j in -367378*j + 3*j**4 - j**4 - 264*j**2 - 4*j**3 + 366370*j = 0?
-6, 0, 14
Suppose 25 = -21*y - 80. Let x be y + -42*(-2)/16. What is q in -x*q**2 - 3*q - 9 = 0?
-6
Let i(r) be the first derivative of r**4/12 - 14*r**3/27 - 7*r**2/18 + 10*r/9 - 483. Factor i(f).
(f - 5)*(f + 1)*(3*f - 2)/9
Let v = 84 - 81. Factor 0*x**3 + 3*x**v - 7*x**3 + 24*x**4 + 15*x**5 - 8*x**3.
3*x**3*(x + 2)*(5*x - 2)
Let g = -20588/3 - -6863. Let f(z) be the first derivative of 2/45*z**3 + g*z**2 + 4/5*z + 10. Factor f(v).
2*(v + 2)*(v + 3)/15
Let s = -32066/231 - -1528/11. Let d(b) be the third derivative of 0 + 4*b**2 - s*b**3 + 0*b + 1/210*b**5 + 1/84*b**4. What is h in d(h)