20 + t. Factor -9/5*i + s + 3/5*i**2.
3*(i - 2)*(i - 1)/5
Let w(g) be the second derivative of g**6/30 + 7*g**5 + 1153*g**4/3 - 3360*g**3 + 10368*g**2 + 3610*g - 2. Find p, given that w(p) = 0.
-72, 2
Let 120/7*v**2 - 200/7*v + 94/7*v**3 - 2/7*v**5 - 12/7*v**4 + 0 = 0. Calculate v.
-10, -2, 0, 1, 5
Let a(u) be the third derivative of -2*u**7/105 - 19*u**6/60 - 4*u**5/5 + u**4/12 + 8*u**3/3 + 2730*u**2 + 1. What is l in a(l) = 0?
-8, -1, 1/2
Let a = 4855/14592 - -3/4864. Let h(o) be the second derivative of -2/3*o**2 - 1/18*o**4 + a*o**3 + 0 - 4*o. Find n, given that h(n) = 0.
1, 2
Let s(z) be the first derivative of -6*z**5/35 + 395*z**4/7 - 2098*z**3/21 + 262*z**2/7 + 1245. Find g such that s(g) = 0.
0, 1/3, 1, 262
Let y(b) be the second derivative of -b**4/42 - 3040*b**3/21 - 2310400*b**2/7 + 5026*b. Determine a so that y(a) = 0.
-1520
Let k be (13 - 1) + ((-6192)/54)/(-43). Suppose 4/3*r - 23/3*r**3 + 0 + k*r**2 = 0. Calculate r.
-2/23, 0, 2
Let i(j) = 15*j**2 + 4550*j + 5. Let v(b) = -22*b**2 - 6815*b - 7. Let o(n) = 7*i(n) + 5*v(n). Let o(p) = 0. Calculate p.
-445, 0
Let u = -9 - -31. Suppose u = z + 8. Factor 10*o + 5*o**2 - 3*o**2 + 6*o**2 - z*o - 4.
4*(o - 1)*(2*o + 1)
Let i(n) be the third derivative of -n**6/40 - 3467*n**5/20 + 6937*n**4/8 - 3469*n**3/2 - 1181*n**2 - 3. Factor i(v).
-3*(v - 1)**2*(v + 3469)
Let u(y) be the first derivative of y**4/4 + 17*y**3/3 + 343. Find o, given that u(o) = 0.
-17, 0
Let m(c) = -c**3 + 15*c**2 + 202*c - 101. Let s be m(-9). Let q(l) be the first derivative of -s*l**2 - 8 + 0*l - 5/3*l**3. Determine o, given that q(o) = 0.
-10, 0
Let v be (128/20 - 6)/((-18)/(-720)). Let m(w) be the first derivative of -1/15*w**3 - 2/5*w - 3/10*w**2 + v. Factor m(s).
-(s + 1)*(s + 2)/5
Let y(k) be the second derivative of -3*k**5/10 - 227*k**4/12 - 50*k**3/3 + 167*k**2/2 - 142*k. Let s(t) be the first derivative of y(t). Factor s(v).
-2*(v + 25)*(9*v + 2)
Let k be 19 - 16 - (-15516)/(-15). Let v = 1035 + k. Factor v*t**3 - 2*t - 2/5 - 6/5*t**2.
2*(t - 1)*(3*t + 1)**2/5
Let r(b) be the third derivative of b**8/1680 - b**7/525 - b**6/40 - b**5/75 + b**4/6 - 1423*b**2. Factor r(l).
l*(l - 5)*(l - 1)*(l + 2)**2/5
Let l(r) = 4*r**3 + 2*r**2 + 46*r. Let x(f) = -f**3 - f**2 - 16*f. Let k(u) = -l(u) - 3*x(u). Factor k(j).
-j*(j - 2)*(j + 1)
Let l(k) = 10*k**3 - 30*k**2 + 80*k - 54. Suppose -71*c - 39 = -68*c. Let q(y) = -21*y**3 + 59*y**2 - 160*y + 109. Let t(u) = c*l(u) - 6*q(u). Factor t(v).
-4*(v - 6)*(v - 2)*(v - 1)
Let k = 1611 - 1609. Let d(z) be the first derivative of 10/3*z**3 - 5/4*z**4 + 0*z**k + 0*z + 6. Solve d(y) = 0 for y.
0, 2
Let w = 794 - 820. Let m be ((-52)/65)/(w/5). Factor m*s**2 + 18/13 + 12/13*s.
2*(s + 3)**2/13
Let c(l) be the first derivative of -l**6/6 + 17*l**5/5 - 15*l**4/4 - 17*l**3/3 + 8*l**2 + 621. Let c(f) = 0. What is f?
-1, 0, 1, 16
Suppose -2*n - 4*o - 8 = -6*n, -n - 2*o + 2 = 0. Let 4*v**2 + 0 - v**n - 18 - v**2 = 0. What is v?
-3, 3
Let r(b) = 28970*b**2 + 7*b + 6. Let w be r(-1). What is i in -30*i**2 + 24*i + 21*i + 29039 - 5*i**3 - w = 0?
-7, -1, 2
Let b(m) be the second derivative of m**4/12 + 25*m**3/2 - 38*m**2 - 209*m + 2. Solve b(i) = 0.
-76, 1
Let v(t) be the second derivative of t**4/8 - 331*t**3/2 + 328683*t**2/4 + 5*t + 15. Let v(g) = 0. Calculate g.
331
Let b(u) be the second derivative of 1/3*u**3 + 48*u + 7/3*u**2 + 0 - 1/72*u**4. Factor b(q).
-(q - 14)*(q + 2)/6
Let w(a) = 7*a + 41. Let k be w(-8). Let g be 18/k*(-10)/6. Factor l**g + 2 - 17 + 2*l**2 - 18*l - 6.
3*(l - 7)*(l + 1)
Let y = 3234 - 3231. Let g(c) be the first derivative of 0*c**2 + 0*c**5 - 10 - 8/3*c**3 + 0*c + 2/3*c**6 - y*c**4. Solve g(h) = 0 for h.
-1, 0, 2
Let q(i) be the first derivative of -2*i**3/21 + 9*i**2/7 + 1307. Factor q(c).
-2*c*(c - 9)/7
Let n(z) be the second derivative of -z**6/120 + 7*z**5/40 - 3*z**4/4 - z**3/6 + 13*z**2 - 83*z. Let j(b) be the second derivative of n(b). Factor j(c).
-3*(c - 6)*(c - 1)
Let s(b) = b**3 + 4*b**2 + 30. Let m be s(-5). Factor 2160 + 85*i**4 - i**m - 465*i**3 - 4*i**5 - 110*i**3 + 2964*i**2 - 3240*i - 1029*i**2.
-5*(i - 4)**2*(i - 3)**3
Let l(b) be the second derivative of -b**4/4 + 169*b**3/2 - 101*b + 4. Factor l(h).
-3*h*(h - 169)
Suppose 55 = 4*u - 5*a, 0 = -2*u - 48*a + 43*a + 5. Suppose -u*h + 68 = 48. Factor h*v**3 - 6*v**4 + 146/3*v**2 + 24 + 2/3*v**5 + 64*v.
2*(v - 6)**2*(v + 1)**3/3
Let t(w) be the second derivative of 0*w**4 + 1/100*w**5 + 150*w - 3/10*w**3 + 0*w**2 + 0. Factor t(b).
b*(b - 3)*(b + 3)/5
Find w such that 2/7*w**2 + 143/7*w - 219/7 = 0.
-73, 3/2
Let u = 313/320 - 153/320. Find q such that 1/2*q**3 + 2*q**4 + 3/2 - u*q - 7/2*q**2 = 0.
-1, 3/4, 1
Let f = -9560 - -76485/8. Let v(k) be the first derivative of 5*k**3 - 27 + 45/8*k**2 + 5/24*k**6 - k**5 + 0*k - f*k**4. Find w, given that v(w) = 0.
-1, 0, 3
Let u be 880/(-2772)*364/(-65). Suppose -4/9*i**2 + 26/9*i - 4/3 - 2/9*i**5 - 8/3*i**3 + u*i**4 = 0. What is i?
-1, 1, 6
Suppose -397*l + 395*l + 14 = -2*v, -6*l = 3*v - 42. Factor 3/4*o + 0*o**2 - 3/4*o**3 + v.
-3*o*(o - 1)*(o + 1)/4
Let q(d) be the first derivative of 39 - 3/4*d**4 + d**3 + 0*d + 3/2*d**2 - 3/5*d**5. What is l in q(l) = 0?
-1, 0, 1
Suppose 3*i + 83 = 24*i - 106. Let u(y) be the third derivative of i*y**2 + 1/525*y**7 + 3/50*y**5 + 0 + 0*y**3 - 1/50*y**6 + 0*y**4 + 0*y. Factor u(v).
2*v**2*(v - 3)**2/5
Find w such that 90*w**3 - 27*w**2 - 9*w**5 - 81*w - 21 + 51*w**4 + 27*w**2 - 30*w**2 = 0.
-1, -1/3, 1, 7
Suppose 258*i - 251*i = -70. Let a be i/(-6)*(-54)/(-30) - -2. Find q such that 0 + 8/7*q - 10/7*q**3 + 2/7*q**a + 0*q**4 + 0*q**2 = 0.
-2, -1, 0, 1, 2
Let r be (-17 - -13) + (-1)/(-1) + 8. Let w(b) be the second derivative of 3/8*b**2 + 27/16*b**4 + 5*b + 2/15*b**6 + 7/6*b**3 + 0 + 9/10*b**r. Factor w(n).
(n + 1)*(n + 3)*(4*n + 1)**2/4
Let h(u) be the second derivative of -u**4/24 + 41*u**3/12 + 45*u**2 - 128*u. Factor h(j).
-(j - 45)*(j + 4)/2
Let -1/7 - 87846/7*l**2 - 7086244/7*l**3 - 214358881/7*l**4 - 484/7*l = 0. Calculate l.
-1/121
Let y(n) be the first derivative of 14*n**5/25 + 9*n**4/5 - 82*n**3/15 + 32*n/5 - 2527. Let y(v) = 0. Calculate v.
-4, -4/7, 1
Let f(g) be the third derivative of 28561*g**5/300 - 169*g**4/15 + 8*g**3/15 - 991*g**2. Let f(m) = 0. What is m?
4/169
Let p be (126/(-8))/((-18)/(-1104)). Let b = -961 - p. Suppose b*l**2 + 10/3*l - 5*l**4 - 5/3*l**5 - 5/3*l**3 + 0 = 0. What is l?
-2, -1, 0, 1
Let g = 55 - 33. Determine y, given that 0 - 32*y**2 - 14*y - 2 - g*y - 2 = 0.
-1, -1/8
Let x be (-4*(-3)/(-15))/(11988/(-360) + 33). Determine c so that -22/3*c**4 + 8*c**5 - 56/3*c + 38*c**2 + x - 68/3*c**3 = 0.
-2, 1/4, 2/3, 1
Factor 10/7*r**3 + 188/7*r**2 - 680/7*r + 528/7.
2*(r - 2)*(r + 22)*(5*r - 6)/7
Let o be (4/8)/((-5)/(-450)). Suppose -2*s + o = 39. Find m, given that 4/3 - 2/3*m**5 - 4/3*m**2 + 8/3*m**s - 2*m + 0*m**4 = 0.
-2, -1, 1
Let y(l) be the third derivative of l**6/2520 - l**5/120 + 5*l**4/84 + 65*l**3/6 + 2*l**2 + 8*l. Let s(x) be the first derivative of y(x). Factor s(w).
(w - 5)*(w - 2)/7
Let b(m) be the third derivative of -m**8/1848 - 8*m**7/1155 - 7*m**6/220 - 3*m**5/55 + 701*m**2. Solve b(p) = 0.
-3, -2, 0
Let g(h) be the third derivative of 361*h**7/490 - 779*h**6/280 - 1203*h**5/70 + 1935*h**4/14 - 2700*h**3/7 + 301*h**2 - 2*h. Determine l so that g(l) = 0.
-3, 30/19, 2
Let d(j) be the second derivative of 1/21*j**7 - 1/3*j**4 - 1/3*j**3 + 2/15*j**6 + 0 + 0*j**2 + 38*j + 0*j**5. Find z, given that d(z) = 0.
-1, 0, 1
Let u(y) be the first derivative of y**5/45 + 15*y**4/4 + 176*y**3/9 + 262*y**2/9 + 11581. Factor u(p).
p*(p + 2)**2*(p + 131)/9
Suppose -13824/17 - 144/17*u**2 + 2/17*u**3 + 2592/17*u = 0. What is u?
12, 48
Let c(a) be the second derivative of a**5/30 + 4*a**4/3 + 64*a**3/3 - 22*a**2 - 15*a. Let g(q) be the first derivative of c(q). Suppose g(n) = 0. Calculate n.
-8
Let a = 9503/71160 + -1/4744. Let n(m) be the first derivative of a*m**5 + 16/9*m**3 - 32/9*m + 0*m**2 - 8/9*m**4 - 1. Factor n(f).
2*(f - 2)**3*(3*f + 2)/9
Let v(w) be the first derivative of w**2 + 32/27*w**3 + 4/9*w + 7/9*w**4 + 80 + 1/27*w**6 + 4/15*w**5. Let v(i) = 0. Calculate i.
-2, -1
Find x such that 9465*x + 275*x**2 + 123*x**4 - 2402061*x**5 + 2402058*x**5 + 1770*x**3 + 6859*x**2 + 