1*u**5/90 - 119*u**4/18 - 185*u**3/27 - 22*u**2/9 + 1371*u. Find i, given that m(i) = 0.
-2, -1, -1/6, 11
Let f(g) be the second derivative of 1/98*g**7 + 0*g**2 + 1/2*g**4 - 4/7*g**3 - 4*g - 3 - 2/35*g**6 - 9/140*g**5. Find a such that f(a) = 0.
-2, 0, 1, 4
Let c(g) be the second derivative of g**5/30 + g**4/9 - 17*g**3/3 + 36*g**2 + 5*g - 7. Factor c(l).
2*(l - 4)*(l - 3)*(l + 9)/3
Let p be (120735/10732)/(((-30)/4)/(-3)). Suppose -3/2*y**3 + 135/2*y + p*y**2 + 243/2 = 0. What is y?
-3, 9
Let g(y) = -5*y**2 + 4*y - 7. Let x be g(6). Let z be x/5379*-2*(0 + 3). Factor -2/11 + 2/11*c**3 - z*c + 2/11*c**2.
2*(c - 1)*(c + 1)**2/11
Suppose -17 + 13 = -n + k, -2*n - k = -2. Factor 13*x + 43*x**3 + 18*x**2 - 48*x**3 + 42*x**n + 52*x.
-5*x*(x - 13)*(x + 1)
Let u(p) be the first derivative of p**4/6 - 136*p**3/9 + 487*p**2/3 - 280*p + 10661. Factor u(l).
2*(l - 60)*(l - 7)*(l - 1)/3
Let z(a) be the first derivative of -a**3/18 - 15*a**2/4 - 43*a/3 - 1954. Solve z(u) = 0 for u.
-43, -2
Let g(w) = 3*w**3 - 5*w**2 - 15*w + 1. Let q(r) = -17*r + 1 + 7*r + 2*r**3 - 5*r - 3*r**2 + 5*r. Let d(z) = -5*g(z) + 8*q(z). Factor d(c).
(c - 1)**2*(c + 3)
Let r(n) = 16*n - 460. Let u be r(29). Factor -9*g**3 + 5*g**u + 5*g**5 + 39*g**2 + 0*g**5 + 10*g - 44*g**2 - 6*g**3.
5*g*(g - 1)**2*(g + 1)*(g + 2)
Let y(j) be the third derivative of j**7/840 - j**6/40 + 3*j**3 - 90*j**2. Let l(o) be the first derivative of y(o). Factor l(h).
h**2*(h - 9)
Let w(o) be the third derivative of o**6/280 + 79*o**5/140 - 43*o**4/28 - 240*o**3/7 + 5*o**2 + 117. Find t such that w(t) = 0.
-80, -2, 3
Factor 4*s**3 - 63*s - 44*s**2 - 136*s - 25*s - 304 + 64.
4*(s - 15)*(s + 2)**2
Let g(l) be the first derivative of -l**4/96 + l**3/16 - l**2/8 + 52*l - 29. Let h(k) be the first derivative of g(k). Factor h(z).
-(z - 2)*(z - 1)/8
Let y(h) be the second derivative of -131/60*h**5 + 128/3*h**2 - 368/9*h**3 - 12 - 373/12*h**4 - 2/45*h**6 - 3*h. Determine k so that y(k) = 0.
-16, -1, 1/4
Let h = -554 - -557. Let a(k) = 7*k**2 + 19*k + 19. Let g(x) = -9*x - 47*x - 56 - 23*x**2 + 3*x**2. Let q(u) = h*g(u) + 8*a(u). What is t in q(t) = 0?
-2
Let g(p) be the second derivative of -12*p**2 - 63/20*p**5 + 23/5*p**6 - 2*p + 18*p**3 - 11 - 15/14*p**7 - 19/2*p**4. Let g(y) = 0. Calculate y.
-1, 2/5, 2/3, 1, 2
Let w(i) = -28*i - 20. Let y = -46 + 66. Let z(j) be the third derivative of j**5/60 + j**4/24 + j**3/6 + 8*j**2. Let r(l) = y*z(l) + w(l). Factor r(h).
4*h*(5*h - 2)
Suppose -2*f + 2 + 16 = 0. Suppose i + 40 = f*i. Suppose -8*s**2 - 15*s**3 + i*s**5 + 2*s**2 + 0*s**5 - 4*s**2 = 0. What is s?
-1, 0, 2
Let s = -29/25516 + 51235/178612. Find d such that 50/7*d + s*d**2 + 48/7 = 0.
-24, -1
Let n be -12 - 1944/(-240)*(-15)/(-9). Let p(h) be the first derivative of -n*h**2 + 3/4*h**4 + 9*h - 3*h**3 - 4. Factor p(d).
3*(d - 3)*(d - 1)*(d + 1)
Solve -32*m**3 + 41616*m - 28*m**3 + 97*m**3 - 33*m**3 - 816*m**2 = 0 for m.
0, 102
Let b(k) = -8*k**3 + 4*k + 2. Let p(q) = -q**5 + q**4 - q**3 - q**2 + 1. Let v be (-22)/(-121) + 72/(-33). Let t(x) = v*p(x) + b(x). Solve t(f) = 0.
-1, 0, 1, 2
Let f(m) be the first derivative of -m**3/3 - 4*m**2 + 12*m + 9. Let k be f(-9). Suppose 3*z**4 - 19*z**3 + 32*z**k + 3*z**2 - 19*z**3 = 0. What is z?
0, 1
Let m(j) be the third derivative of -j**8/336 + 19*j**7/210 - 13*j**6/20 - 7*j**5/3 + 25*j**4/3 + 2*j**2 + 56. Factor m(o).
-o*(o - 10)**2*(o - 1)*(o + 2)
Let l(m) be the third derivative of 49/3*m**3 + 0 - 61/60*m**5 + 7/8*m**4 + 1/8*m**6 - 1/210*m**7 + 0*m + 53*m**2. Find p such that l(p) = 0.
-1, 2, 7
Suppose 60*b**3 + 36*b**2 - 17*b**5 + 44*b**5 - 21*b**5 + 24 - 2*b + 34*b**4 - 30 = 0. Calculate b.
-3, -1, 1/3
Let z(x) be the second derivative of -x**6/105 - 466*x**5/35 + 467*x**4/7 - 2804*x**3/21 + 935*x**2/7 - 2663*x. Factor z(q).
-2*(q - 1)**3*(q + 935)/7
Let a(y) = -y**2. Let j(i) = i**3 + i**2 - i + 2. Let c be -4 + -6 + 5 + (3 - 1). Let q(s) = c*a(s) - j(s). Solve q(l) = 0 for l.
-1, 1, 2
Let w(y) be the first derivative of -5*y**4/4 - 570*y**3 + 1715*y**2/2 + 2941. Factor w(p).
-5*p*(p - 1)*(p + 343)
Let -41085*s**3 + 1336*s**2 + 20538*s**3 + 20551*s**3 = 0. Calculate s.
-334, 0
Let f be (-21)/((-63)/(-46)) + 96/6. Factor -2 - 4/3*d + f*d**2.
2*(d - 3)*(d + 1)/3
Suppose -5*x - 132 = -222. Suppose 0 = 11*d - 17*d + x. Determine u so that -4/3*u**2 + 1/3*u**d + 4/3*u + 0 = 0.
0, 2
Let v(o) be the third derivative of o**7/42 - o**6/12 - 109*o**5/4 - 805*o**4/6 - 800*o**3/3 + 76*o**2 - 2*o + 2. What is b in v(b) = 0?
-16, -1, 20
Find k such that -48668/7 - 65/7*k**3 - 5819/7*k + 1/7*k**4 + 1311/7*k**2 = 0.
-4, 23
Let d(s) be the second derivative of -5/42*s**4 + 3/35*s**5 + 0*s**3 - 30*s - 2 - 1/105*s**6 + 0*s**2. Factor d(u).
-2*u**2*(u - 5)*(u - 1)/7
Let v(y) = -24*y**3 - 87*y**2 - 84*y + 6. Let x(u) = -u**2 + 6. Let j(d) = 1. Let o(z) = -5*j(z) + x(z). Let w(h) = -6*o(h) - v(h). Find n such that w(n) = 0.
-2, 1/8
Factor 19/5*x - 1/5*x**2 - 34/5.
-(x - 17)*(x - 2)/5
Let l(n) = n**3 - 27*n**2 + 31*n - 116. Let d be l(26). Suppose d*b - 83*b + 552 = 0. What is y in -b*y**3 + 8*y + 8/7 + 90/7*y**2 - 14*y**4 = 0?
-1, -2/7, 1
Let g(x) = -10*x + 133. Let y be g(13). Factor -2*j**2 - 1425 - y*j - 269 + 10*j + 173*j - 2356.
-2*(j - 45)**2
Suppose -2/5 + 12/5*n**4 + 27/5*n - 108/5*n**2 - 36/5*n**5 + 107/5*n**3 = 0. What is n?
-2, 1/6, 1
Factor -38/9*w + 22/3 - 26/9*w**2 - 2/9*w**3.
-2*(w - 1)*(w + 3)*(w + 11)/9
Let c(q) be the second derivative of -3*q**7/14 + 41*q**6/5 - 315*q**5/4 - 295*q**4/2 + 714*q**3 - 588*q**2 + q - 354. Let c(p) = 0. Calculate p.
-2, 1/3, 1, 14
Let v(i) be the first derivative of -i**6/30 - 4*i**5/15 - 2*i**4/3 + 28*i**2 - 61. Let m(n) be the second derivative of v(n). Factor m(x).
-4*x*(x + 2)**2
Let o(q) be the second derivative of -q**5/30 - 7*q**4/2 - 67*q**2/2 - 131*q. Let a(z) be the first derivative of o(z). Let a(m) = 0. What is m?
-42, 0
Let d(f) be the third derivative of -f**6/300 - 569*f**5/150 - 5377*f**4/4 + 5415*f**3 - 635*f**2. Suppose d(l) = 0. Calculate l.
-285, 1
Let i = 1646 + -1677. Let h be (-15)/(-5) - (-31)/i. Factor -8*t**h + 14/3*t**3 + 4/3 + 2*t.
2*(t - 1)**2*(7*t + 2)/3
Let z(d) be the second derivative of d**6/10 + 9*d**5/4 + 71*d**4/4 + 129*d**3/2 + 108*d**2 - 684*d. Solve z(o) = 0.
-8, -3, -1
Suppose 3*u**4 - 401856*u + 774*u**3 - 8864*u**2 + 30094*u**2 + 75934*u**2 + 406272 + 318*u**3 = 0. Calculate u.
-184, 2
Factor -1824443*f**3 + 4678940*f - 9730*f**2 + 1824448*f**3 + 54705*f.
5*f*(f - 973)**2
Let a(t) be the first derivative of t**4/22 - 8*t**3/3 - 91*t**2/11 - 92*t/11 - 997. Determine x so that a(x) = 0.
-1, 46
Suppose -14*q + 28032 = -2*q. Factor -2*o**2 + 7*o**4 - 2*o**3 + 2308*o - q*o - 8 + 25*o**3 + 8*o**2.
(o - 1)*(o + 2)**2*(7*o + 2)
Let a(r) = -2*r**3 + 339*r**2 - 1790*r - 2284. Let v be a(164). Solve -v*x - 2/3*x**2 - 64/3 = 0 for x.
-16, -2
Let f be 22734/189 - 2/7. Factor -56*p**2 - 5*p**3 - 39*p**2 - 180 - 417*p + 97*p - f.
-5*(p + 2)**2*(p + 15)
Suppose 19 = -110*m + 108*m - 5*o, o = -4*m + 7. Factor -m*g**2 + 80 + 4*g**2 + 19*g - 10*g**2 - 26*g**2 + 11*g.
-5*(g - 2)*(7*g + 8)
Let h be (609/(-1421) - -1*27/(-84)) + 834/24. Factor 1/6*r**3 + h*r**2 + 157216/3 + 2312*r.
(r + 68)**3/6
Factor -1340/9*t + 2/9*t**2 + 224450/9.
2*(t - 335)**2/9
Let a(s) = -19*s**2 + s. Let o(n) = 174*n**2 + 399*n + 804. Let q(i) = 9*a(i) + o(i). Factor q(w).
3*(w + 2)*(w + 134)
Let w be -2 - (7 + -1)/(-1). Suppose o - 11 = -3*u, -4 + 11 = -w*o + 5*u. Suppose 2/3*i**o - 2*i - 8/3 = 0. What is i?
-1, 4
What is p in -24*p + 17*p + 9*p**2 - 22*p + 85*p - 4*p - p**3 = 0?
-4, 0, 13
Let j(y) = 3 + 4*y**3 - y**2 - y + 2*y**3 + 0 - 2. Let g be j(1). Factor 11*q**5 - 2*q**3 - q**3 - 12*q**g + 2*q**3 - 2*q**4.
-q**3*(q + 1)**2
Suppose 5*t = -39 - 86. Let c = t + 27. Let -3*w + 6*w**2 - 9*w**3 - w**2 + 3*w**4 + 4*w**c = 0. What is w?
0, 1
Let m(q) be the third derivative of -23/4*q**6 - 67/12*q**5 + 0*q + 0 + 0*q**3 - 5/42*q**8 - 50/21*q**7 - 112*q**2 - 55/24*q**4. Factor m(b).
-5*b*(b + 11)*(2*b + 1)**3
Let v(m) be the first derivative of -m**4/40 + 239*m**3/2 - 856815*m**2/4 + 341297975*m/2 + 2649. Suppose v(a) = 0. Calculate a.
1195
Suppose -130 = -32*g + 19*g. Factor -1 - g*c**2 - 5*c**3 + 55*c + 8 + 6 + 47.
-5*(c - 3)*(c + 1)*(