) = h**3 + 16*h**2 + 27*h + 29. Let j be z(-14). Solve -24*c - 15*c**2 - 26*c**2 + j*c**2 = 0 for c.
0, 12
Let p(m) be the third derivative of m**7/420 + m**6/180 - m**5/12 + m**4/4 + 41*m**3/6 + 32*m**2. Let u(v) be the first derivative of p(v). Factor u(a).
2*(a - 1)**2*(a + 3)
Let m(l) be the first derivative of -l**4/22 - 94*l**3/33 + 200*l**2/11 - 408*l/11 - 2445. Find r, given that m(r) = 0.
-51, 2
Let z(w) be the first derivative of -4*w + 116 - 3*w**2 + 0*w**3 + 1/2*w**4. Factor z(t).
2*(t - 2)*(t + 1)**2
Find g such that 93 + 3/2*g**2 - 99/2*g = 0.
2, 31
Solve 4/5*y**3 - 103/5*y**2 + 326/5*y + 88/5 = 0 for y.
-1/4, 4, 22
Let v(m) be the first derivative of m**4/18 + 4612*m**3/9 + 5317636*m**2/3 + 24524937232*m/9 - 8120. Suppose v(n) = 0. What is n?
-2306
Let u be (-1*4)/((-8152)/452 - -18). Let h = -111 + u. Factor 0 - 1/4*v**4 - v**h + v**3 + 0*v.
-v**2*(v - 2)**2/4
Let g(j) be the first derivative of -119 + j**2 - 2/9*j**3 - 4/3*j. Determine t, given that g(t) = 0.
1, 2
Suppose -291*i + 292*i - 4 = 0. Let w(z) be the second derivative of 1/6*z**2 + 1/12*z**3 - 1/180*z**6 - 1/72*z**i - 1/40*z**5 - 12*z + 0. Factor w(s).
-(s - 1)*(s + 1)**2*(s + 2)/6
Let -163 - 405 - 108*o**2 + 104*o**2 + 292*o = 0. Calculate o.
2, 71
Suppose -443*z + 323 + 461 = -545. Determine c, given that -56/3*c**z - 32/3*c + 24*c**2 + 0 - 2/3*c**5 + 6*c**4 = 0.
0, 1, 2, 4
Let d(g) be the first derivative of 3*g**4/4 - 189*g**3 + 1125*g**2/2 - 561*g - 275. Factor d(q).
3*(q - 187)*(q - 1)**2
Let h be 3*(-25)/(-15) + -7. Let u(n) = 8*n**2 - 7*n + 6. Let w(g) = g**2. Let x(y) = h*u(y) + 22*w(y). Factor x(r).
2*(r + 3)*(3*r - 2)
Suppose -24 = 4*v - 4*s, -12*v + 99 = -2*s + 81. Factor 0*i + 0 - 1/7*i**v + 6/7*i**2.
-i**2*(i - 6)/7
Let k be (-1 - 0)/(182/(-910)). Let d(c) be the first derivative of -11/12*c**4 + 0*c + 0*c**2 - 2/5*c**k - 2/3*c**3 - 2 - 1/18*c**6. Let d(h) = 0. What is h?
-3, -2, -1, 0
Let h(w) = 8*w**2 - 2*w - 6. Suppose -108*r - 594 = -54*r. Let f be -6*((-1)/3 - -1). Let k(q) = -3*q**2 + q + 2. Let z(n) = f*h(n) + r*k(n). Factor z(b).
(b - 2)*(b - 1)
Determine i, given that 18/5*i**2 - 2/5*i**3 + 12*i - 176/5 = 0.
-4, 2, 11
Suppose 20*f = 58*f + 1672. Let m be (3/(165/f))/(6/(-15)). Solve m*o**3 + 0 + 2/5*o**2 + 0*o = 0 for o.
-1/5, 0
Determine a so that 3/7*a**5 - 54/7*a - 33/7*a**2 + 0 + 33/7*a**4 + 51/7*a**3 = 0.
-9, -2, -1, 0, 1
Let y(g) be the first derivative of 81/2*g + 81 + 1/24*g**3 + 9/4*g**2. Factor y(f).
(f + 18)**2/8
Let f be 792348/(-765) + (-2)/17. Let s = 1036 + f. Factor 12/5*a - s*a**2 - 54/5.
-2*(a - 9)**2/15
Determine b, given that -55*b**5 + 28*b**3 - 6*b**2 + 24 - 17*b + 52*b**5 - 7*b**3 - 19*b = 0.
-2, 1, 2
Suppose -6916/9*i**3 + 14406 - 7840*i**2 - 24696*i - 4/9*i**5 - 278/9*i**4 = 0. What is i?
-21, -7, 1/2
Let r be 1*678 + (-54)/(-9). Let o be (144/r)/(2/2). Factor 0 + 2/19*u**3 + o*u + 6/19*u**2.
2*u*(u + 1)*(u + 2)/19
Let s(j) = -j + 4. Let h be s(-7). Suppose -h = 9*f - 38. Let 3*m**3 - 4*m**f + 2 - 4 + 3*m = 0. What is m?
-2, 1
Let d(x) be the first derivative of 4*x**5/25 + 47*x**4/15 + 88*x**3/5 - 72*x**2/5 + 73*x + 9. Let t(c) be the first derivative of d(c). Factor t(n).
4*(n + 6)**2*(4*n - 1)/5
Let f(t) be the second derivative of -4*t**2 + 1/30*t**6 + 0 - 20*t + 3*t**3 + 0*t**5 - 11/12*t**4. Factor f(g).
(g - 2)*(g - 1)**2*(g + 4)
Factor -348*z**2 - 161*z + 749*z**2 - 491*z - 120 - 357*z**2.
4*(z - 15)*(11*z + 2)
Let l(s) = -3*s**3 + 27*s**2 + 6*s. Let v(q) = -4*q**2 - 9*q**3 + 8*q**3 + 15*q**2 + 2*q. Let x(j) = -5*l(j) + 12*v(j). Factor x(w).
3*w*(w - 2)*(w + 1)
Let y be 6/9 + (-165)/(-500)*-2. Let n(r) be the third derivative of -1/120*r**4 + 0 - y*r**5 + 1/15*r**3 + 0*r - 9*r**2 + 1/600*r**6. Solve n(h) = 0.
-1, 1, 2
Let y(u) = 5*u**2 + 39*u - 2. Let q(j) = 33*j**2 + 153*j - 3. Let f(p) = -2*p**2 - 1. Let m(x) = -6*f(x) - q(x). Let s(c) = -2*m(c) - 9*y(c). Factor s(a).
-3*a*(a + 15)
Let 105*w**2 - 34932*w - 579*w**2 + 3*w**3 - 5*w**3 + 5700*w - 134560 = 0. What is w?
-116, -5
Let w(a) be the first derivative of -a**6/780 + a**5/78 + 79*a**2/2 - 65. Let f(i) be the second derivative of w(i). Determine q so that f(q) = 0.
0, 5
Let y(n) be the third derivative of n**8/112 - n**6/10 - n**5/10 + 3*n**4/8 + n**3 - 2*n**2 - 231*n. Factor y(k).
3*(k - 2)*(k - 1)*(k + 1)**3
Let b(f) be the second derivative of 0*f**2 + 4 + 32/3*f**3 - 17*f - 1/3*f**4. Determine q so that b(q) = 0.
0, 16
Suppose -4*d = -17*d + 13. Factor 13 + 3*g**2 + g**2 - d - 8*g - 3*g**2 - 5*g**2.
-4*(g - 1)*(g + 3)
Let t(y) be the first derivative of -y**4/2 - 2*y**3/15 - 22. What is u in t(u) = 0?
-1/5, 0
Let s = -391746/11 + 35618. Factor -338/11 + s*q - 2/11*q**2.
-2*(q - 13)**2/11
Let x(r) be the first derivative of r**4/12 + r**3/3 - 4*r**2 - 80*r/3 - 1529. Factor x(a).
(a - 5)*(a + 4)**2/3
Let m be (1/(-3) - 0) + (-788)/(-6). Suppose -16*k = 51 - m. Suppose 376 + 30*q**3 - 376 - 5*q**k - 5*q**4 = 0. Calculate q.
-3, 0, 2
Let z be ((-18)/(-120))/((-120)/32 - -6). Let w(g) be the third derivative of 0 + 2/3*g**4 - 8/3*g**3 + 0*g - 25*g**2 - z*g**5. Solve w(b) = 0.
2
Let w(u) = 4574*u + 13724. Let c be w(-3). What is x in 2/15*x**3 - 16/15 + 16/15*x**c - 2/15*x = 0?
-8, -1, 1
Let x(s) = -1. Let g(z) = -z**2 - 2. Suppose 2*i + 12 = 4. Let j be 14/(-28) - 6/i. Let d(c) = j*g(c) - 2*x(c). Let d(y) = 0. Calculate y.
0
Let b(o) = 70*o - 5806. Let t be b(83). Let d(q) be the second derivative of 0 - 405/4*q**2 + 15/2*q**3 - q - 5/24*q**t. Determine h, given that d(h) = 0.
9
Suppose 18*s - 2*s = -2*s + 36. Let d(m) be the first derivative of 0*m**s + 5 + 4/45*m**3 + 0*m - 2/75*m**5 + 1/30*m**4. Factor d(z).
-2*z**2*(z - 2)*(z + 1)/15
Let k(f) be the first derivative of f**4/42 - f**3/7 - 33*f + 58. Let h(n) be the first derivative of k(n). What is d in h(d) = 0?
0, 3
Let q(y) = y**2 - 20*y + 22. Let d(t) = -8*t + 1. Let p be d(-3). Let c be q(p). Solve 0*w**2 + 42*w + 5*w**2 + w**2 - 3*w**2 + c = 0 for w.
-7
Let x be -199*(0 + -1) - 254/(-127). Let n = x - 198. Determine r, given that 4/3*r**2 - 4/3*r**n + 0 + 4/3*r - 4/3*r**4 = 0.
-1, 0, 1
Let x(s) be the first derivative of s**3/7 - 1599*s**2/14 - 1602*s/7 + 1433. Solve x(a) = 0.
-1, 534
Let v be 524/(-39)*(-25)/500. Let k = v + -9/65. Solve -2/15*b**2 + k*b**3 + 0 + 0*b - 2/5*b**4 = 0 for b.
0, 1/3, 1
Let t(p) be the third derivative of 0 + 12*p - p**2 + 1/150*p**5 + 1/5*p**3 + 1/15*p**4. Determine i so that t(i) = 0.
-3, -1
Let f be ((-8)/84)/(6*3/(-9)). Let t(g) be the second derivative of 0 - 1/42*g**4 + f*g**3 - 23*g + 2/7*g**2. Determine n, given that t(n) = 0.
-1, 2
Suppose -532*s = -528*s + 3*v - 62, 22*s - 8 = 2*v. Factor 12/7 + 2/7*y**s + 10/7*y.
2*(y + 2)*(y + 3)/7
Let q be 41 + (-10278)/252 + 53/14. Let o(g) be the third derivative of 1/24*g**5 + 31*g**2 - 5/3*g**3 + 0*g**q + 0 + 0*g. Factor o(z).
5*(z - 2)*(z + 2)/2
Let i be (-3 + 5)*(2 + (-46)/(-2)). Factor -10*q**4 + 32 + 26*q + 67*q - 13*q + i*q**2 - 10*q**3 + 2*q**5.
2*(q - 4)**2*(q + 1)**3
Let r(j) be the first derivative of j**4/2 - 92*j**3/3 + 364*j**2 + 8112*j + 1416. Find p such that r(p) = 0.
-6, 26
Let t(h) = -h**3 + 13*h**2 - 12*h - 15. Let y be t(12). Let d be y/(-3)*5/((-50)/(-6)). Let -4*k**d + 13*k**5 + k**5 - 6*k**4 - 4*k**5 = 0. Calculate k.
-2/5, 0, 1
Factor 1/5*g**2 + 3/5*g**3 + 0 + 0*g + 3/5*g**4 + 1/5*g**5.
g**2*(g + 1)**3/5
Find q, given that -243/2*q + 0 - 153/2*q**2 + 87/2*q**3 - 3/2*q**4 = 0.
-1, 0, 3, 27
Let x(q) be the third derivative of q**6/60 - 16*q**5/15 + 5*q**4 + 2*q**2 + 6*q - 48. Solve x(r) = 0 for r.
0, 2, 30
Suppose 3*k - 12 + 274 = 2*u, -4*k = -u + 121. What is x in 4*x + x**5 - 68*x**3 - 10*x**2 + 8 - 74*x**3 + u*x**3 + 2*x**4 = 0?
-2, -1, 1, 2
Let j(u) = -6264071*u**2 - 17376*u - 4. Let y(g) = -6264072*g**2 - 17367*g - 6. Let m(x) = 3*j(x) - 4*y(x). Let m(t) = 0. Calculate t.
-2/1445
Let m = 780 + -771. Suppose 512*y - 509*y - m = 0. Suppose 4/3 + 20/3*a**y - 12*a**2 + 4*a = 0. Calculate a.
-1/5, 1
Let q(w) be the second derivative of w**4/4 + 113*w**3 - 681*w**2/2 + 623*w. Factor q(s).
3*(s - 1)*(s + 227)
Let s be ((-8)/(-6))/(13*32/936). Let x = 2/389 - -18662/1945. Suppose 828/5*o**2 + 372/5*o + x + 357/5*o**s - 147/5*o**4 = 0. What is o?
-1, -2/7, 4
Let q(j) be the third derivative of 0*j