*5/10 + 2*l**3 - l**2 + 35. Let a(h) be the first derivative of d(h). Let a(p) = 0. What is p?
-2, -4/3, 0
Let q = 236 - 230. Let -1 + q + 5*g - 4*g**3 + 36*g**2 - 41*g**2 - g**3 = 0. What is g?
-1, 1
Let j(y) be the first derivative of y**8/16800 + y**7/1680 - 71*y**3/3 + 103. Let n(h) be the third derivative of j(h). Let n(c) = 0. Calculate c.
-5, 0
What is d in 45 + 0*d**3 + 24*d - 87*d + 50*d**2 - 28*d - d**3 - 3*d**2 = 0?
1, 45
Let d be (162/189)/(9/42). Let j(c) be the third derivative of 1/100*c**5 + 1/40*c**6 + 0*c + 0*c**3 + 0*c**d + 0 - 28*c**2. Determine g so that j(g) = 0.
-1/5, 0
Let b = 4031/30 + -799/6. Let x(z) be the second derivative of 11/15*z**4 + 1/10*z**5 + b*z**2 + 0 - 5*z + 23/15*z**3. Factor x(l).
2*(l + 1)*(l + 3)*(5*l + 2)/5
Let r = -2220848/5 + 444171. Determine q so that 159/5*q - r*q**2 + 46/5 = 0.
-2/7, 23
Let x(u) = 38*u**2 - 74*u + 42. Let v(l) = -115*l**2 + 220*l - 125. Suppose 551 = -5*z + 536. Let q(s) = z*v(s) - 10*x(s). Suppose q(j) = 0. Calculate j.
1, 9/7
Let h(q) be the second derivative of -5*q**4/12 + 355*q**3/6 + 555*q**2 - 4*q - 190. Let h(o) = 0. What is o?
-3, 74
Determine y so that 4*y**3 - 36*y**4 - 78*y**3 + 76*y**2 + 172*y - 98*y**3 - 40 = 0.
-5, -1, 2/9, 1
Let z(b) = 3*b**2 - 11*b - 15. Let i be z(5). Factor -24*h**3 + 22*h**i - 35*h**5 - 20*h**2 + 11*h**5 - 12*h**4 - 6*h.
-2*h*(h + 1)**3*(h + 3)
Let q(j) be the second derivative of 2*j**4 - 26*j**3/3 - 30*j**2 - 1043*j. Determine x so that q(x) = 0.
-5/6, 3
Let -1/4*d - 67/4 + 1/4*d**3 + 67/4*d**2 = 0. Calculate d.
-67, -1, 1
Let t(o) = -o**3 - 25*o**2 - 154*o + 4. Let q be t(-14). Let 3/5*a**q - 3/5*a**2 - 3/5*a**3 + 3/5*a + 0 = 0. What is a?
-1, 0, 1
Let m(z) = 35 - 12*z**2 - 17 + 26 + 3*z**3 + 16*z**2 - 36*z. Let r(g) = -12*g**3 - 15*g**2 + 144*g - 177. Let n(t) = -15*m(t) - 4*r(t). Factor n(u).
3*(u - 2)**2*(u + 4)
Let n(p) be the first derivative of -p**4/5 - 52*p**3/3 + 857. Factor n(f).
-4*f**2*(f + 65)/5
Let g(s) be the second derivative of -3/2*s**2 - 1/3*s**3 + 0 - 32*s + 1/12*s**4. Determine k so that g(k) = 0.
-1, 3
Let l(c) be the first derivative of 5*c**4/16 + 475*c**3/12 + 935*c**2/8 + 465*c/4 + 751. Find v such that l(v) = 0.
-93, -1
Let p = 445665 + -445662. Suppose w - 7 = -3. What is a in 9/5*a - 6/5 + 3/5*a**2 - 9/5*a**p + 3/5*a**w = 0?
-1, 1, 2
Let w(y) be the first derivative of 16*y**2 - 4/3*y**3 - 28*y + 53. Determine t so that w(t) = 0.
1, 7
Let g = 111039 - 111039. Factor g - 5/12*p - p**3 - 7/6*p**2 - 1/6*p**4 + 1/12*p**5.
p*(p - 5)*(p + 1)**3/12
Let i(a) be the first derivative of a**5/5 + 25*a**4/4 + 107*a**3/3 - 133*a**2/2 - 297. Factor i(q).
q*(q - 1)*(q + 7)*(q + 19)
Let y = -26167 + 26167. Factor 0*n**2 + y + 2/3*n**4 - 4*n**3 + 2/3*n**5 + 0*n.
2*n**3*(n - 2)*(n + 3)/3
Let j = -193 + 248. Let q(o) = 11*o**2 - 5*o + 6. Let v(l) = 76*l**2 - 46*l + 66*l**2 + 55 + l - 42*l**2. Let d(t) = j*q(t) - 6*v(t). What is x in d(x) = 0?
0, 1
Let b(r) be the third derivative of 3/40*r**6 + 0*r**3 + 19*r**2 + 0*r + 1/10*r**7 + 0 + 0*r**5 + 0*r**4. Suppose b(i) = 0. What is i?
-3/7, 0
Let r(v) be the second derivative of 50/3*v**3 + 20*v**2 + 0 - 1/4*v**5 - 2/3*v**6 - 5/42*v**7 - 127*v + 35/6*v**4. Solve r(t) = 0 for t.
-2, -1, 2
Let k = 2455226/3 + -818407. What is z in 1/6*z**3 + 7/2*z + 2*z**2 + k = 0?
-10, -1
Let d(y) be the second derivative of -y**7/168 + y**6/24 + 5*y**5/8 + 2125*y. Determine q so that d(q) = 0.
-5, 0, 10
Let t(s) be the third derivative of -s**5/12 + 1715*s**4/24 + 860*s**3/3 - 13040*s**2. Factor t(p).
-5*(p - 344)*(p + 1)
Let y(r) be the second derivative of r**6/75 - 1626*r**5/25 + 660969*r**4/5 - 716490396*r**3/5 + 436880018961*r**2/5 - 579*r. Factor y(q).
2*(q - 813)**4/5
Let r(a) be the second derivative of -1/10*a**6 - 8*a + 0*a**3 - 3 + 0*a**2 + 19/30*a**5 - 2/9*a**4. Factor r(z).
-z**2*(z - 4)*(9*z - 2)/3
Let h(c) = 1795*c**4 + 217840*c**3 + 185600*c**2 + 52920*c + 5040. Let u(f) = -2*f**4 - 7*f**3 + f**2 + f. Let n(b) = -h(b) - 40*u(b). Factor n(p).
-5*(p + 126)*(7*p + 2)**3
Let l(j) be the second derivative of 1/50*j**5 + 4/45*j**3 + 0*j**2 - 16/225*j**6 + 2 + 6*j - 1/45*j**7 + 8/45*j**4. Determine a, given that l(a) = 0.
-2, -1, -2/7, 0, 1
Let s(w) be the first derivative of -w**8/1680 + w**7/105 + 19*w**6/360 + w**5/12 + 176*w**3/3 - 200. Let h(x) be the third derivative of s(x). Factor h(t).
-t*(t - 10)*(t + 1)**2
Let i = -1157377 + 3472132/3. Factor -i*j**2 - 7/3*j - 10/3.
-(j + 2)*(j + 5)/3
Let m(p) be the first derivative of 2*p**3/33 - 195*p**2/11 - 392*p/11 - 2739. Determine n so that m(n) = 0.
-1, 196
Let f = -573 - -1033. Let g = f - 458. Factor -1/9*l**g - 4/9 + 5/9*l.
-(l - 4)*(l - 1)/9
Let h(a) be the first derivative of a**3/6 + 5*a**2 - 261*a/2 - 9110. Let h(y) = 0. What is y?
-29, 9
Let v(f) be the first derivative of -116/9*f**3 - 7*f**2 - 4/3*f + 25/9*f**6 - 2/3*f**4 + 60 + 8*f**5. Determine g so that v(g) = 0.
-2, -1, -1/5, 1
Let c = -972148 - -972151. Suppose -14/5*j**3 - 2/5*j**2 - 1/5*j**5 + c*j + 9/5 - 7/5*j**4 = 0. What is j?
-3, -1, 1
Let x(p) be the first derivative of -p**6/9 - 8*p**5/5 - 2*p**4/3 + 128*p**3/3 - 256*p**2/3 - 132. Let x(m) = 0. What is m?
-8, 0, 2
Let k be (-1)/(55/14) + 1748/2185. Suppose k*g - 5/11*g**2 + 1/11*g**4 + 0 - 2/11*g**3 = 0. What is g?
-2, 0, 1, 3
Let -20*g**2 + 51451*g - 25717*g + 4*g**3 - 25710*g = 0. Calculate g.
0, 2, 3
Let 2/25*k**5 + 168/25*k - 88/25 + 18/25*k**4 - 2*k**3 - 2*k**2 = 0. What is k?
-11, -2, 1, 2
Let s(o) be the second derivative of -o**6/45 - 2*o**5/15 + o**4/2 + 16*o**3/9 - 20*o**2/3 - 5430*o. Let s(y) = 0. Calculate y.
-5, -2, 1, 2
Let p be 74/18 + (-34*9/18 - -13). Find f, given that -p*f - 2/3 + 1/9*f**2 = 0.
-2, 3
Let v(d) = -d**3 + 8*d**2 - 59*d - 108. Let w(x) = 5*x**3 - 32*x**2 + 255*x + 432. Let j(t) = 9*v(t) + 2*w(t). What is l in j(l) = 0?
-9, -3, 4
Let c(h) = 14*h**4 + 71*h**3 + 111*h**2 - 714*h - 773. Let i(q) = -22*q**4 - 108*q**3 - 166*q**2 + 1072*q + 1160. Let z(f) = -8*c(f) - 5*i(f). Factor z(j).
-2*(j - 3)*(j + 1)*(j + 8)**2
Let u(b) be the first derivative of -b**4/4 - 32*b**3/3 + 713. Determine k, given that u(k) = 0.
-32, 0
Let m be (-14706)/(-34) + (-192)/(-24). Let u = 441 - m. Let -52/17*y**3 - u + 54/17*y**2 - 8/17*y + 14/17*y**4 = 0. What is y?
-2/7, 1, 2
Find c such that 37 - 13*c - 8*c**2 - 20*c - 99*c + 31 + 0*c**2 = 0.
-17, 1/2
Suppose 3*h - 74 = 4*r, 0 = -4*h + 4*r + 7595 - 7519. Factor -8/3 - 2*l + 2/3*l**h.
2*(l - 4)*(l + 1)/3
Suppose -6534*p - 1/2*p**3 + 99*p**2 + 143748 = 0. Calculate p.
66
Let k(v) be the third derivative of -v**5/80 + 7*v**4/32 + v**3 + 1965*v**2. Factor k(b).
-3*(b - 8)*(b + 1)/4
Factor 2/5*g**2 + 88*g + 872/5.
2*(g + 2)*(g + 218)/5
Let t(z) be the second derivative of 3*z**5/200 + 2*z**4/15 - 67*z**3/60 - 6*z**2/5 + 6563*z. Factor t(r).
(r - 3)*(r + 8)*(3*r + 1)/10
Let d(z) be the first derivative of 3*z**4/20 - 11*z**3/5 - 279*z**2/10 - 459*z/5 - 4845. Factor d(v).
3*(v - 17)*(v + 3)**2/5
Let l(z) = -17*z - 47. Let u be l(-3). Suppose 6*y + 3 = 3*y + 3*b, 0 = u*b - 12. Factor 4*t**3 + 8/5*t + 0 - 28/5*t**y.
4*t*(t - 1)*(5*t - 2)/5
Let j = 2012172 + -8048683/4. Find h, given that j*h**2 + 45/4*h + 10 = 0.
-8, -1
Let k be (-122)/(-4)*(-75)/255 - -5. Let f = 196/17 - k. Solve -2/3 - 49/12*n**4 - 17/3*n - 175/12*n**3 - f*n**2 = 0 for n.
-2, -1, -2/7
Let i = 12733 - 636649/50. Let l(v) be the third derivative of 1/5*v**3 + 1/300*v**6 + 0 + 0*v - 1/60*v**4 - i*v**5 + 2*v**2. Factor l(m).
2*(m - 3)*(m - 1)*(m + 1)/5
Find a, given that -168*a**2 - 1827 - 755*a**3 + 19*a**4 - 286*a**2 + 3010*a - 133 - 41*a**2 + 196*a**4 - 15*a**5 = 0.
-2, 1, 4/3, 7
Let y be (9/2)/(9/6). Suppose 3*r + y*r = 72. Factor 11*k - 4*k**2 - 4*k**2 - r + 6*k**2 - 25*k.
-2*(k + 1)*(k + 6)
Let d(i) be the first derivative of 5*i**4/4 + 100*i**3 + 1080*i**2 + 4160*i - 1924. Suppose d(m) = 0. Calculate m.
-52, -4
Suppose 3*g - 36 = -v - 24, g - 15 = -4*v. Factor -13*j**g - 43*j**3 - 5*j**4 + 6*j**3.
-5*j**3*(j + 10)
Suppose 3*v = -2*i - 2, v = i - 3*v - 21. Suppose 473*n**5 - 239*n**i - 30*n**4 - 20*n**2 - 239*n**5 - 45*n**3 = 0. What is n?
-4, -1, 0
Let r(z) be the first derivative of -z**3/12 + 119*z**2/8 - 87*z - 5115. Factor r(y).
-(y - 116)*(y - 3)/4
Suppose -2*a = d - 0*d - 8, 14 = d + 