r(c) be the second derivative of 0 + 1/10*c**6 + 0*c**4 - 3/10*c**5 + 0*c**3 + 0*c**2 - f*c. Factor r(i).
3*i**3*(i - 2)
Let v = 283 + -279. Factor -16*r**v + 21*r**4 - 500*r + 247*r**2 + 95*r**3 + 126*r**2 + 27*r**2.
5*r*(r - 1)*(r + 10)**2
Let p be (-11016)/1632*(-8)/42. Factor 0 - p*x - 8/7*x**2 + 1/7*x**3.
x*(x - 9)*(x + 1)/7
Let w(b) = -b**3 + 47*b**2 - 25*b + 116. Let n be w(46). Let u = n + -3244/3. Factor -6*t**2 + u*t**3 - 40/3 + 16*t.
2*(t - 5)*(t - 2)**2/3
Let g(z) = -2*z**3 + 2*z**2 - 1. Let l(y) = 5*y**3 - 4*y**2 - 51*y + 167. Let o(q) = 3*g(q) + l(q). Let a be o(3). Factor -3/7*t**a - 18/7 - 15/7*t.
-3*(t + 2)*(t + 3)/7
Suppose 11*s + 99 = -55. Let k be ((-99)/(-21) - 3) + (-4)/s. Factor -2/7*h**k - 162/7 + 36/7*h.
-2*(h - 9)**2/7
Suppose -15*c + 773 = 728. Let l(z) be the third derivative of -1/210*z**7 + 0*z**5 + 0 - 3*z**2 + 1/60*z**6 + 1/6*z**c + 0*z - 1/12*z**4. Factor l(j).
-(j - 1)**3*(j + 1)
Solve 1568/3 + 118/9*k**2 + 1904/9*k + 2/9*k**3 = 0.
-28, -3
Let z(b) be the second derivative of -25/12*b**4 - 1 + 12*b - 3/4*b**5 + 0*b**2 - 5/3*b**3. Factor z(t).
-5*t*(t + 1)*(3*t + 2)
Let r = 474161/50802 + -3/16934. Suppose 20 - 32 = -4*h. Factor -r*j**2 - 4/3*j**5 - 4*j - 2/3 - 6*j**4 - 32/3*j**h.
-2*(j + 1)**4*(2*j + 1)/3
Let j(r) be the first derivative of -r**7/840 - 7*r**6/360 + 7*r**5/40 + 9*r**4/8 - 29*r**3 + 94. Let t(z) be the third derivative of j(z). Factor t(g).
-(g - 3)*(g + 1)*(g + 9)
Let u(d) = -8*d + 10. Let g be u(2). Let w be -3*3/1*10/g. Factor -30*c**4 - 19*c**3 - 3*c + 2*c + 2 + 23*c**4 - w*c**2.
-(c + 1)**3*(7*c - 2)
Let o(x) be the first derivative of x**5/15 - 5*x**4/12 + 10*x**2/3 - 16*x/3 - 1604. Let o(z) = 0. What is z?
-2, 1, 2, 4
Factor 4*b**2 - 51/2 - 23/4*b + 1/4*b**3.
(b - 3)*(b + 2)*(b + 17)/4
Let n(s) = 87*s - 13125. Let d be n(151). Let 1/3*u**2 - 4*u + d = 0. What is u?
6
Let q(i) be the first derivative of -1/3*i**3 + 0*i + 46 - 2*i**2. Suppose q(c) = 0. What is c?
-4, 0
Let p(y) = -3*y**3 - 22*y**2 + 179*y - 166. Let a(t) = -4*t**3 - 23*t**2 + 177*t - 168. Let b(k) = -2*a(k) + 3*p(k). Factor b(h).
-(h - 6)*(h - 1)*(h + 27)
Let u = -169 + 515/3. Suppose -1229*j + 1248*j - 38 = 0. Suppose u + 4/3*l**j + 6*l = 0. What is l?
-4, -1/2
Suppose 11*g - 266 - 174 = 0. Suppose -50*o + 46*o = -g. Solve -31*x**2 + 18*x**2 - o*x - 10*x + 24 + 17*x**2 = 0 for x.
2, 3
Suppose 10*k - 11*k = -3*t + 1291, 5*t - 2170 = -2*k. Suppose 0 = -7*u + 19*u - t. Solve -22*a**3 - 18*a**3 - u*a**2 - 8*a - 1150*a**4 + 1138*a**4 = 0 for a.
-2, -1, -1/3, 0
Let l = 1049 + -989. Let t be 0/2 + (-108)/l + 2. Factor 0 - 1/5*d**2 + t*d.
-d*(d - 1)/5
Let x be 5/2*(-3 - -5). Suppose 22*g - 24*g + 4 = 4*k, -4*g = 2*k - 14. Determine n so that g*n**2 + 10*n - 11*n + 2*n**3 - x*n = 0.
-3, 0, 1
Let p = 15/202 - -9815/3838. What is w in 52/19 + p*w - 2/19*w**2 = 0?
-1, 26
Solve -89 - 19 + 3895*t + 993*t + 2636*t - 131043*t**2 = 0 for t.
6/209
Let j(w) be the third derivative of -w**6/420 - 29*w**5/105 - 95*w**4/12 - 308*w**3/3 - 15549*w**2. Factor j(x).
-2*(x + 7)**2*(x + 44)/7
Let n(s) be the second derivative of -2/45*s**6 + 0 + 0*s**5 + 24*s + 5/63*s**7 + 0*s**4 + 0*s**2 + 0*s**3. Factor n(y).
2*y**4*(5*y - 2)/3
Let i(x) be the first derivative of 41*x + 1/6*x**4 - 14 + 20/3*x**3 + 100*x**2. Let g(p) be the first derivative of i(p). What is m in g(m) = 0?
-10
Let f(j) be the third derivative of -j**9/211680 + j**7/4410 - j**5/30 - 7*j**3/3 + 94*j**2. Let p(c) be the third derivative of f(c). Let p(g) = 0. What is g?
-2, 0, 2
Let r = -5700 - -39933/7. Suppose 5*j - 4*j - 2 = 0. Solve 108/7 + 3/7*b**3 + 72/7*b - r*b**j = 0.
-1, 6
Let w(x) be the first derivative of x**4/20 + 12*x**3 + 179*x**2/10 - 3911. Determine h, given that w(h) = 0.
-179, -1, 0
Let m(k) be the second derivative of 3*k**5/5 + 1951*k**4/3 + 5194*k**3/3 + 1298*k**2 - 2*k - 333. Factor m(z).
4*(z + 1)*(z + 649)*(3*z + 1)
Let h(m) be the second derivative of -116/15*m**3 + 0 + 247*m + 1682/5*m**2 + 1/15*m**4. Suppose h(y) = 0. Calculate y.
29
Suppose 10/9*d**3 - 112/9 + 24*d + 52/3*d**2 = 0. What is d?
-14, -2, 2/5
Let f(s) be the first derivative of 2*s**6/21 + 17*s**5/70 + 2*s**4/21 - s**3/7 - 118*s - 86. Let z(k) be the first derivative of f(k). Factor z(w).
2*w*(w + 1)**2*(10*w - 3)/7
Let t = -371 + 374. Factor 17*f**3 - 12*f + 5*f**4 + 5*f + 35*f**2 + 20*f + 8*f**t + 2*f.
5*f*(f + 1)**2*(f + 3)
Let j = 299/247350 + 9/1649. Let b(u) be the third derivative of 0 + 0*u**3 + 0*u + 0*u**4 - j*u**6 - 34*u**2 + 4/75*u**5. Determine t, given that b(t) = 0.
0, 4
Let o be (5/250)/(29/((-1885)/(-26))). Let q(d) be the second derivative of 0 + 0*d**2 + 0*d**3 + 1/12*d**4 - o*d**5 - 26*d. Factor q(j).
-j**2*(j - 1)
Determine o, given that -2/17*o**3 + 48/17*o**2 - 130/17*o + 84/17 = 0.
1, 2, 21
Let f(z) be the second derivative of z**6/270 - z**5/15 + 5022*z. Solve f(i) = 0 for i.
0, 12
Let r(m) be the second derivative of -m**7/42 - 104*m**6/15 - 2703*m**5/5 + 208*m**4/3 + 21632*m**3/3 + 5680*m. Determine l, given that r(l) = 0.
-104, -2, 0, 2
Let c(y) = 12*y**4 - 1737*y**3 + 1733*y**2 + 1732*y - 1735. Let h(w) = -5*w**4 + 868*w**3 - 866*w**2 - 866*w + 867. Let m(q) = 2*c(q) + 5*h(q). Factor m(o).
-(o - 865)*(o - 1)**2*(o + 1)
Let q = -1024 - -1028. Suppose -2*f + q - 10 = -2*u, 3*u = 2*f + 11. Suppose -16/9 - 2/9*k**3 + 4/9*k**f + 8/9*k = 0. Calculate k.
-2, 2
Let l = -2/54349 + 54357/217396. Let l*i**2 - 4*i + 16 = 0. What is i?
8
Suppose 3*l - y - 2*y = -1476, -l - 5*y = 516. Let h = l - -5466/11. What is s in h*s + 8/11*s**2 + 2/11*s**3 + 4/11 = 0?
-2, -1
Solve 296/7 + 18/7*k**2 - 1336/7*k = 0 for k.
2/9, 74
Let 1647/5*b - 330 + 3/5*b**2 = 0. Calculate b.
-550, 1
Let h be 89 + 1 - (-13)/(195/90). Let k be (-3)/(-24)*14 + 24/h. Factor 12*x - 4*x**k - 4/3*x**3 + 36.
-4*(x - 3)*(x + 3)**2/3
Let d(f) be the third derivative of 1/4*f**4 - 1/112*f**8 - 13*f + 0*f**3 - f**2 - 1/70*f**7 + 0 + 3/40*f**6 + 1/4*f**5. Determine s, given that d(s) = 0.
-1, 0, 2
Let x(y) be the first derivative of y**7/630 + y**6/45 + 7*y**5/180 + 3*y**2/2 + 5*y + 65. Let r(f) be the second derivative of x(f). Factor r(q).
q**2*(q + 1)*(q + 7)/3
Let x(g) be the third derivative of -g**7/315 + 53*g**6/180 - 20*g**5/9 + 49*g**4/9 - 2846*g**2. Factor x(s).
-2*s*(s - 49)*(s - 2)**2/3
Let n(t) be the first derivative of 81/4*t**4 - 56*t**3 + 315/4*t**2 - 18/5*t**5 - 54*t + 1/4*t**6 + 219. Find p such that n(p) = 0.
1, 3, 4
Let f(n) be the third derivative of -n**5/30 - 15*n**4/4 + 3*n**2 - 4*n + 1. Factor f(p).
-2*p*(p + 45)
Let v(x) = -3*x**2 + 19*x + 16. Let f be v(7). Suppose 60*o**2 + 0*o**3 - 254*o - 256 - f*o**3 + 62*o - 2*o**3 = 0. Calculate o.
-1, 8
Solve 176 - 188 - 80*j**3 - 12*j + 174*j**3 - 91*j**3 + 3*j**2 = 0 for j.
-2, -1, 2
Determine q, given that -27/2*q**2 - 12 - 99/4*q - 3/4*q**3 = 0.
-16, -1
Let n(c) be the third derivative of -c**8/2016 + 41*c**7/315 + 7*c**6/5 + 254*c**5/45 + 85*c**4/9 - 59*c**2 + 47*c. Factor n(w).
-w*(w - 170)*(w + 2)**3/6
Let h = 3134 - 3134. Let f(d) be the third derivative of 0*d + 0 - 2*d**2 + 1/6*d**5 - 1/6*d**4 + h*d**3. Factor f(v).
2*v*(5*v - 2)
Let g be 90/(-950) - (-102)/(-170)*(-2)/6. Factor -g*t**2 - 12/19*t + 32/19.
-2*(t - 2)*(t + 8)/19
Let l(p) = -p**3 + p**2 - 7*p - 38. Let f be l(-7). Let -24*g**4 + 471*g - f*g + 16 + 14*g**5 - 14*g**4 - 82*g**3 + 22*g**2 = 0. What is g?
-1, -2/7, 1, 4
Suppose -5*c + 65 = 5*g, 2*g + 3*c - 33 = 2. Let -1/2*d**2 + 0 + g*d = 0. What is d?
0, 8
Let s(j) be the second derivative of -j**4/28 - 281*j**3/7 + 1692*j**2/7 - 901*j. Solve s(c) = 0 for c.
-564, 2
Let k(x) = -102*x - 607. Let m be k(-6). Let w(z) be the first derivative of -32*z + 0*z**4 - 2/5*z**m + 16/3*z**3 + 2 + 0*z**2. Suppose w(s) = 0. Calculate s.
-2, 2
Let m(t) be the first derivative of -240*t - 70 - 52*t**3 + 2/5*t**5 - 172*t**2 - 9/2*t**4. Suppose m(d) = 0. What is d?
-2, 15
Factor -31510377 + 4637359*y - 2756866*y + 60915*y**2 - 630534*y**2 + 5457540*y + 14739*y**3.
3*(17*y - 219)**3
Suppose -5*b + 7*r + 15 = 2*r, 2*b - 3*r = 5. Determine g, given that 451*g**2 - 211*g**2 - g**4 + b*g**3 + 32*g - 212*g**2 = 0.
-2, 0, 8
Let p(k) be the second derivative of k**7/735 - k**6/140 + k**5/70 - k**4/84 + 65*k**2/2 + 111*k. Let u(g) be the first derivativ