a(h) = 0.
-5, -1, 0, 2/3, 18
Suppose -2110*y + 2105*y + 176 = 11*r, -3*y = 3*r - 48. Solve 16/3*l + 44/9*l**3 + 2/9*l**4 - 94/9*l**2 + y = 0 for l.
-24, 0, 1
Let s(u) be the second derivative of u**6/60 + u**5/30 - u**4/12 - u**3/3 + 25*u**2/2 + 65*u. Let j(z) be the first derivative of s(z). Factor j(i).
2*(i - 1)*(i + 1)**2
Let g(a) = 9*a**2 - 45*a - 54. Let q(n) = 10 - 26*n**2 + 21 + 51 + 135*n + 79. Let v(x) = -17*g(x) - 6*q(x). Factor v(t).
3*(t - 16)*(t + 1)
Let p be (-69)/(-5) + -1 - (-164 + (-9570)/(-55)). What is z in 2/5 + 2/5*z**4 - 4/5*z**2 - 7/5*z + p*z**3 - 7/5*z**5 = 0?
-1, 2/7, 1
Let h(b) be the second derivative of 1/110*b**5 + 5/22*b**4 + 0 + 26/33*b**3 + 0*b**2 - 128*b. Factor h(n).
2*n*(n + 2)*(n + 13)/11
Let f(u) = 3*u**3 - 24*u**2 - 16*u + 4. Let n be f(9). Solve 1800*z + 222*z**4 - n*z**4 + 2940*z**2 - 107*z**4 + 368*z**3 = 0.
-15, -2/3, 0
Let p = -743 - -750. Let y be (p - (-790)/(-110)) + 604/55. Suppose -243/5*h**2 - y*h - 3/5 = 0. What is h?
-1/9
Suppose -358*r + 882 = -406 - 144. Let b(x) be the first derivative of -4/9*x**3 + x**r + 4/3*x - 2*x**2 - 6. Suppose b(c) = 0. What is c?
-1, 1/3, 1
Let t(a) be the third derivative of 2*a**4 + 0*a + 25/3*a**3 - 65*a**2 - 1/30*a**5 + 0. Let t(p) = 0. What is p?
-1, 25
Let g be 2/(14*112/294). Let n(x) be the third derivative of -1/20*x**5 + g*x**4 - x**3 + 0 - 5*x**2 + 0*x. Factor n(v).
-3*(v - 2)*(v - 1)
Suppose -13*m + 937 = -29093. Factor -m*q**2 + 246*q - 24 - 257*q + 195*q + 240*q + 3600*q**3.
2*(8*q - 3)*(15*q - 2)**2
Suppose -t**4 - 3*t**4 + 14*t**3 - 10*t**4 - 144 + 0*t**2 + 16*t**4 - 4*t**2 - 120*t = 0. What is t?
-6, -2, 3
Let p(x) = -x**3 + 68*x**2 - 70*x + 203. Let q be p(67). Let r(f) be the first derivative of -7 + f**q - 5/6*f**3 + 1/8*f**4 + 0*f. Factor r(s).
s*(s - 4)*(s - 1)/2
Solve -76*g - 445 - 365*g + 29*g + 31 + 2*g**2 = 0 for g.
-1, 207
Let l(h) be the third derivative of -h**7/2205 + h**6/105 - h**5/14 + 25*h**4/126 + 1799*h**2. Factor l(t).
-2*t*(t - 5)**2*(t - 2)/21
Let 0 - 1/2*i - 2*i**4 - i**2 + 7/2*i**3 = 0. Calculate i.
-1/4, 0, 1
Let p(f) be the second derivative of -f**4/12 + 20*f**3/3 - 200*f**2 + 607*f. Factor p(w).
-(w - 20)**2
Let x = -758 - -758. Let u(j) be the third derivative of 0 - 8/3*j**3 + x*j + 6*j**2 - 1/30*j**6 + 1/5*j**5 + 0*j**4. Factor u(q).
-4*(q - 2)**2*(q + 1)
Let d(c) be the first derivative of 4/3*c**2 + 1/3*c**4 + 0*c + 4/3*c**3 - 49. Factor d(w).
4*w*(w + 1)*(w + 2)/3
Let o(h) = -21*h**2 + 875*h + 2164. Let t be o(44). Let -706/3*m**2 - 343/3*m**5 - t + 236/3*m + 980/3*m**4 + 119*m**3 = 0. What is m?
-1, 2/7, 3
Let d(j) be the first derivative of 0*j + 0*j**4 + 0*j**2 - 5/6*j**6 + 0*j**3 + 326 + j**5. Suppose d(w) = 0. What is w?
0, 1
Let i(m) be the first derivative of m**5/15 + 38*m**4/3 - 463*m**3/9 + 155*m**2/3 + 3725. Factor i(t).
t*(t - 2)*(t - 1)*(t + 155)/3
Let g = 96048/55979 - 12/7997. Factor -10/7*m**2 + 0 + g*m - 2/7*m**3.
-2*m*(m - 1)*(m + 6)/7
Let c = 120535/44 + -30131/11. Factor -3/2*m**2 + 0*m + c*m**4 + 5/4*m**3 + 0.
m**2*(m - 1)*(m + 6)/4
Let h(r) = r**2 + 20*r + 88. Let z be h(-6). Suppose 0*y = -14*y + z*y. Factor -1/9*l**4 - 1/9*l + y - 1/3*l**3 - 1/3*l**2.
-l*(l + 1)**3/9
Let j(d) be the second derivative of d**7/63 - 28*d**6/45 + 22*d**5/3 - 155*d**4/9 - 221*d**3/9 + 338*d**2/3 - 5082*d. Solve j(r) = 0 for r.
-1, 1, 2, 13
Let i be 6 + -1 - (4/1 + -2). Let 731*f**i - 715*f**3 + 48*f**4 + 29*f**5 - 9*f**5 = 0. What is f?
-2, -2/5, 0
Let q(y) = 1624*y + 10. Let o be q(4). Suppose 6*g = -6488 + o. Factor 0 - 9/5*n - 3/5*n**g + 12/5*n**2.
-3*n*(n - 3)*(n - 1)/5
Let h(a) = -a**2 - 23*a + 43. Let x = -336 + 350. Let i(d) = 8*d - 14. Let u(j) = x*i(j) + 4*h(j). Factor u(r).
-4*(r - 3)*(r - 2)
Let o = 627 + -403. Let -77*i**3 - 30*i**2 - 59*i**3 - 5*i**4 + o*i**3 - 5 - 68*i**3 + 20*i = 0. Calculate i.
1
Suppose 3*y - 25 = -4*m - 7, -2*y - m = -7. Factor 34*n + 20 + 0*n**3 - 12*n**2 + 16*n**2 + 12*n**y + 2*n**3.
2*(n + 1)*(n + 2)*(n + 5)
Let -2/11*p**4 - 58/11*p + 114/11*p**2 - 54/11*p**3 + 0 = 0. Calculate p.
-29, 0, 1
Let d be 2/((-1260)/12325) - (-12)/42. Let h = d + 39/2. Factor h*b + 0 + 2/9*b**2.
2*b*(b + 1)/9
Let q(x) be the second derivative of 49*x**2 - 1/105*x**6 + 2*x - 3*x**4 - 28/3*x**3 + 127 - 2/7*x**5. Suppose q(v) = 0. What is v?
-7, 1
Let n(u) be the second derivative of 5*u**4/24 - 1925*u**3/6 + 3845*u**2/4 + 10*u - 177. Let n(k) = 0. Calculate k.
1, 769
Suppose 29*h + 13 = -16. Let i be (82/2255)/(h/(-5)). What is w in -i*w**2 + 2/11*w**4 + 0 - 2/11*w**3 + 2/11*w = 0?
-1, 0, 1
Let h = -11989 - -11989. Let s be 0/(2/4*-2). Find j, given that s + j**4 + 11/3*j**3 + 2*j**2 + h*j = 0.
-3, -2/3, 0
Suppose 96/5*v**3 + 0 + 26/5*v**4 + 72/5*v**2 + 0*v + 2/5*v**5 = 0. What is v?
-6, -1, 0
Let l be 3 - 184/48 - (80/(-70) + (-24)/126). Determine m so that -1/2*m**4 + 3/4*m**2 - 3/8*m**5 - 1/8*m - 1/4 + l*m**3 = 0.
-1, 2/3, 1
Suppose 21/2*m**3 + 51/2*m**2 - 3/2*m**4 + 27/2*m + 0 = 0. Calculate m.
-1, 0, 9
Let h(y) be the first derivative of -y**4/24 - y**3/6 - y**2/4 - 51*y - 79. Let c(t) be the first derivative of h(t). Factor c(m).
-(m + 1)**2/2
Let s(u) be the first derivative of 7 - 3/2*u**2 - 1/24*u**4 + 7/12*u**3 + 9*u. Let l(c) be the first derivative of s(c). Find o such that l(o) = 0.
1, 6
Let x = 927 + -1276. Let j = x - -353. Determine a so that 0 + 4/5*a**j + 8/5*a**3 - 8/5*a - 4/5*a**2 = 0.
-2, -1, 0, 1
Factor 1368 - 688*h**2 + 4*h**3 - 21*h + 611*h + 86*h.
4*(h - 171)*(h - 2)*(h + 1)
Let v(i) be the first derivative of -i**6/12 - i**5/2 - 25*i**4/24 - 5*i**3/6 - 88*i - 55. Let n(w) be the first derivative of v(w). What is t in n(t) = 0?
-2, -1, 0
Let v(d) be the second derivative of -3*d**5/40 - 29*d**4/8 + 65*d**3 + 216*d**2 + 398*d + 2. Factor v(i).
-3*(i - 8)*(i + 1)*(i + 36)/2
Suppose 2*y + 10 = 0, 5*y + 0 + 40 = 5*c. Suppose c*a - 213 = 108. Factor 111*q**2 + 5*q**3 - a*q**2 + 15*q**3.
4*q**2*(5*q + 1)
Let t(c) be the third derivative of 2*c**7/105 + 69*c**6/10 - 839*c**5/15 + 351*c**4/2 - 844*c**3/3 - 7*c**2 + 14. Factor t(g).
4*(g - 2)*(g - 1)**2*(g + 211)
Let h(o) be the first derivative of 15*o**4/4 - 148*o**3 - 645*o**2/2 - 186*o + 5696. Factor h(y).
3*(y - 31)*(y + 1)*(5*y + 2)
Factor 4377*m**4 + 10*m**3 + 55*m**3 - 8742*m**4 + 4370*m**4.
5*m**3*(m + 13)
Suppose -12997*o**4 - 3*o**5 - 103*o**3 + 13129*o**4 - 152*o**3 + 126*o**2 = 0. What is o?
0, 1, 42
Find k, given that -15/2 + 9/4*k**2 - 1/8*k**3 + 43/8*k = 0.
-3, 1, 20
Suppose -2*d - 19 = -3*t, 0 = 895*t - 898*t + 27. Factor 2/3*q**2 + 2/3*q**d - 2*q**3 + 2*q - 4/3.
2*(q - 2)*(q - 1)**2*(q + 1)/3
Find w, given that -3/7*w**4 + 429/7*w**2 - 108 - 6*w**3 - 288/7*w = 0.
-21, -1, 2, 6
Let f(i) be the second derivative of 1/4*i**2 - 1/72*i**4 - 48*i + 0 - 1/18*i**3. Find o, given that f(o) = 0.
-3, 1
Let w(s) be the first derivative of -s**6/5 + s**5/2 + s**4/3 - 43*s - 35. Let z(p) be the first derivative of w(p). Factor z(v).
-2*v**2*(v - 2)*(3*v + 1)
Suppose 157/6*p + 1/6*p**2 - 53 = 0. Calculate p.
-159, 2
Let p be (-20 + 14)/((-2490)/664). What is m in 2/5*m**3 + 4/5 + 2*m + p*m**2 = 0?
-2, -1
Factor -145*i**2 + 5*i**3 - 5809330 + 5809330 + 140*i.
5*i*(i - 28)*(i - 1)
Factor 3/5*n**2 + 66603/5 - 894/5*n.
3*(n - 149)**2/5
Let s(n) = 9*n**5 + 6*n**4 - 29*n**3 + 30*n**2 + 8*n + 4. Let p(f) = -16*f**5 - 13*f**4 + 60*f**3 - 59*f**2 - 14*f - 7. Let m(r) = 4*p(r) + 7*s(r). Factor m(a).
-a**2*(a - 2)*(a - 1)*(a + 13)
Let h(j) = j**2 + 8551*j - 4596726. Let c(l) = -2*l**2 - 21380*l + 11491816. Let s(m) = 5*c(m) + 12*h(m). Determine g, given that s(g) = 0.
1072
Solve -96*s + 190 - 7*s**4 - 8*s**4 - 47*s**3 + 4*s**4 - s**5 - 429 - 97*s**2 + 203 = 0 for s.
-3, -2, -1
Let o(a) be the second derivative of -1/20*a**5 + 9/2*a**2 - 5/12*a**4 - 2*a - 1/2*a**3 - 14. Factor o(k).
-(k - 1)*(k + 3)**2
Let g(s) = 3*s**2 - 2*s - 7. Let p be g(2). Let k be 1 + p + 99/63*-1. Factor -12/7*c + k*c**2 + 12/7.
3*(c - 2)**2/7
Let k(f) be the first derivative of 5*f**3/6 - 125*f**2/2 + 3125*f/2 + 3143. What is i in k(i) = 0?
25
Let s = 3262/15 - 25151/120. Factor -s - 57/8*k**2 - 123/8*k + 3/8*k**3.
3*(k - 21)*(k + 1)**2/8
Factor -852*j + 4717 + 351*j**2 + 359*j**2 - 1172*j - 706*j**2 + 1319.
4*(j - 503)*(j - 3)
Let z(k) be the third derivative o