 + 0*f**3 + o*f + 3/22*f**4. Factor d(m).
-2*m**3*(m + 1)*(5*m - 3)/11
Let d(w) = -24*w - 450. Let q be d(-19). Suppose q*l = 1203 - 1203. Factor 0 + 0*m**2 + l*m + 3/2*m**3 - 3/4*m**4.
-3*m**3*(m - 2)/4
Let a(s) be the third derivative of s**6/280 + 101*s**5/70 - 407*s**4/56 + 102*s**3/7 + 1349*s**2. Determine c so that a(c) = 0.
-204, 1
Suppose 159/2*i**2 + 5625/2 - 3/2*i**3 - 2325/2*i = 0. Calculate i.
3, 25
Let w(x) be the third derivative of -x**5/20 + 3*x**4 + 81*x**3/2 + 198*x**2. Find s, given that w(s) = 0.
-3, 27
Let n(i) be the second derivative of -i**6/72 - 23*i**5/24 + 5*i**4 - 22*i**3/3 - 2*i - 118. Let w(k) be the second derivative of n(k). Factor w(h).
-5*(h - 1)*(h + 24)
Let c = 46 - 44. Factor 4 + 0 + 2*o**c - 292*o + 298*o.
2*(o + 1)*(o + 2)
Let r(o) be the first derivative of -o**6/120 - o**5/12 - o**4/6 + 103*o**2/2 + 84. Let b(w) be the second derivative of r(w). Find i, given that b(i) = 0.
-4, -1, 0
Let t(l) be the first derivative of -7/20*l**5 - 1/2*l**4 + 2*l**3 - 10 - 1/20*l**6 - 35/2*l**2 + 0*l. Let s(q) be the second derivative of t(q). Factor s(w).
-3*(w + 2)**2*(2*w - 1)
Let b be 2028*(-3)/(-5)*20. Factor 24336 - b - 5*x**2 - 65*x.
-5*x*(x + 13)
Suppose -16*f + 2*f = -18*f. Let z(k) be the first derivative of f*k + 11 - k**2 - 5/3*k**3. Factor z(m).
-m*(5*m + 2)
Let d = -3716 - -3719. Let v(j) be the second derivative of -16/15*j**d + 0 - 1/30*j**4 - 64/5*j**2 - j. Determine u, given that v(u) = 0.
-8
Let w(c) be the first derivative of -c**4/20 - c**3/15 + 129*c**2/2 + 1305*c + 3125. Solve w(v) = 0.
-15, 29
Factor 2/7*h**3 - 2/7*h - 8 + 8*h**2.
2*(h - 1)*(h + 1)*(h + 28)/7
Let l(p) be the second derivative of 5*p**4/3 - 68*p**3/3 - 96*p**2 - 32*p - 55. Determine z so that l(z) = 0.
-6/5, 8
Let k be 21/(-35) + 4 + 221/(-65). Let z(w) be the second derivative of 12*w - 1/2*w**3 + 9/4*w**2 + 1/24*w**4 + k. What is f in z(f) = 0?
3
Suppose 4361498*v + 260 = 4361563*v. Suppose 152/7*m + 4/7*m**2 + 48/7 - 62/7*m**3 - 4/7*m**v + 6/7*m**5 = 0. What is m?
-2, -1/3, 2, 3
Let u = 185 - 174. Let -32 - u*w**2 + 0*w**2 + 24*w + 7*w**2 = 0. What is w?
2, 4
Let d(v) be the first derivative of 29 + 21 + v**3 - 12*v + 9*v**2 + 3*v - 6*v**2 + 0*v**3. Solve d(n) = 0.
-3, 1
Suppose -108 = -14*n - 108. Let b(v) be the third derivative of 1/50*v**5 - 1/15*v**3 + 0 + 1/30*v**4 + n*v + 12*v**2. Factor b(m).
2*(m + 1)*(3*m - 1)/5
Let d(i) be the third derivative of i**5/120 - 1561*i**4/12 + 2436721*i**3/3 + 10*i**2 - 55*i. Determine b so that d(b) = 0.
3122
Let u be (48/352*-1)/(4/(-22)). Suppose n + 5 = 2*v, v - 1 = 4*n - 2. Find o, given that -5/4*o**4 - 3/2*o**5 + u*o**v + 0 + 1/2*o**2 + 0*o = 0.
-1, -1/2, 0, 2/3
Find o, given that -41/4*o**2 + 0*o - 81/4*o**3 + 1/4*o**5 - 39/4*o**4 + 0 = 0.
-1, 0, 41
Let s be 2/(-8) - (-10)/((-40)/(-933)). Factor -s*n**2 - 45 - 687*n**2 - 390*n + 75*n**2.
-5*(13*n + 3)**2
Let a(y) be the first derivative of -y**6/6 + y**5/2 + 5*y**4/12 - 5*y**3/3 - 133*y - 73. Let i(l) be the first derivative of a(l). Factor i(h).
-5*h*(h - 2)*(h - 1)*(h + 1)
Let u(l) be the third derivative of -l**8/168 - 4*l**7/315 + 47*l**6/540 + 23*l**5/135 - 11*l**4/27 + 8*l**3/27 - 6*l**2 - 234. Suppose u(h) = 0. What is h?
-2, 1/3, 2
Suppose 3*v + 577 = -3*o + 61, -339 = 2*v + o. Let h = v + 167. Factor -9/8*m**2 - 3/4*m + h + 3/4*m**3.
3*m*(m - 2)*(2*m + 1)/8
Let z = -47868/13 + 431540/117. Determine s so that -4/9*s**3 + 6*s**2 - 2/9*s**4 - 104/9*s + z = 0.
-7, 1, 2
Let d(v) = 63*v - 504. Let n be d(8). Determine w, given that 0*w**2 + 2/7*w**5 + 0*w**3 + 0*w + n + 12/7*w**4 = 0.
-6, 0
Let c(b) be the second derivative of b**6/15 - 2*b**5 - 51*b**4/2 - 88*b**3/3 + 260*b**2 + 4889*b. Solve c(k) = 0.
-5, -2, 1, 26
Suppose 0*f = 6*f - 72. Let q be (-8)/f*-6 + (1 - 3). Factor 35*k**3 - 131*k**q + 3*k**2 - 232*k**2 - 250 + 975*k.
5*(k - 5)**2*(7*k - 2)
Solve 4/7*g**3 + 4*g**2 - 4/7*g + 0 - 4*g**4 = 0.
-1, 0, 1/7, 1
Let t = 8783/60 + -585/4. Let h(q) be the third derivative of 0 + 0*q**4 + 0*q + 6*q**2 + t*q**5 + 2/35*q**7 + 0*q**3 - 7/30*q**6. Factor h(x).
4*x**2*(x - 2)*(3*x - 1)
Let v(d) be the third derivative of -24*d**3 - 1/1008*d**8 - 17/630*d**7 + 8*d - 43/20*d**5 - 9*d**4 + 2*d**2 + 0 - 23/72*d**6. Factor v(k).
-(k + 3)**3*(k + 4)**2/3
Factor -62/7*u**3 + 3/7*u**4 + 93/7*u**2 + 38/7*u + 0.
u*(u - 19)*(u - 2)*(3*u + 1)/7
Let a(z) be the first derivative of 0*z - 5/6*z**3 + 37 + 7/8*z**4 - 3/10*z**5 + 1/4*z**2. Solve a(o) = 0.
0, 1/3, 1
Let w be -2*(-388)/(-88) + (-2)/11. Let m(g) = g**2 + 11*g + 22. Let r be m(w). What is d in -4*d**3 - 7*d**3 + 20*d**3 - 3*d**r - 6*d**3 = 0?
0, 1
Suppose 10 = 4*h + 4*w - 6*w, 0 = -h - 4*w - 2. Let 5*t**h + 0*t + 18*t + 0*t + 30 - 10 + 7*t = 0. Calculate t.
-4, -1
Let d(z) be the first derivative of 0*z**3 - 1/7*z**2 + 0*z + 30 + 1/14*z**4. Find o such that d(o) = 0.
-1, 0, 1
Let v(y) = -2*y**4 + 1. Let c(z) = -z**4 - 16*z**3 - 41*z**2 + 84*z + 109. Let n(b) = -c(b) + v(b). Suppose n(m) = 0. Calculate m.
-3, -1, 2, 18
Let g be (636/324)/(-53)*-54. Determine p so that -g - 11/2*p + 3/2*p**2 = 0.
-1/3, 4
Let v(b) be the second derivative of -2809/2*b**2 - 2*b - 53/3*b**3 - 1/12*b**4 + 4. Factor v(x).
-(x + 53)**2
Let x be ((-544)/(-56) + 4)/((-4)/(-14)). Solve -u**3 + 58 + 14*u**2 + 0*u**3 - 22*u - u**3 - x = 0 for u.
1, 5
Let v = -27/1345 - -5031/9415. Let h(k) be the first derivative of 94/21*k**3 + 1/2*k**4 + 12/7*k + 3 + 37/7*k**2 - v*k**5. Suppose h(t) = 0. Calculate t.
-1, -2/9, 3
Let j(y) be the third derivative of 2 + 32*y**2 + 17/5*y**5 + 0*y - 1/12*y**6 - 14*y**3 + 65/12*y**4. Factor j(z).
-2*(z - 21)*(z + 1)*(5*z - 2)
Let g(z) be the first derivative of z**4/4 + 19*z**3 + 1083*z**2/2 + 6859*z - 5075. Let g(i) = 0. What is i?
-19
Let x(o) be the second derivative of -41*o**7/63 + 43*o**6/45 + 121*o**5/30 - 211*o**4/18 + 92*o**3/9 - 4*o**2/3 - 1075*o. Let x(p) = 0. What is p?
-2, 2/41, 1
Suppose 2*u - 7*u + 105 = 0. Suppose -5*g = -12*g + u. Factor 3 + 3*l - 3*l**2 - g + 0*l**2.
-3*l*(l - 1)
Let v be -150*(2 + (-2 + 4 - 5)). Let d be 125/v*(-8)/(-30). Find b such that 0 - 4/9*b + 2/9*b**2 + d*b**3 = 0.
-2, 0, 1
Let j(v) be the second derivative of -1/60*v**5 + 0 + 0*v**3 + 0*v**2 - 4/9*v**4 + 21*v. Find t such that j(t) = 0.
-16, 0
Let w(s) = -2282*s - 132353. Let z be w(-58). Find g such that 21/4*g**2 + 1/4*g**z + 0*g + 0 = 0.
-21, 0
Let h(l) be the first derivative of l**3 - 375*l**2 - 753*l - 291. Let h(z) = 0. Calculate z.
-1, 251
Let b(x) be the second derivative of -841/8*x**2 + 2 - 1/48*x**4 + 29/12*x**3 - 103*x. Suppose b(p) = 0. What is p?
29
Let k(b) = -25*b**2 - 10356*b - 4468633. Let u(d) = 8*d**2 + 3452*d + 1489544. Let a(r) = 6*k(r) + 19*u(r). Solve a(x) = 0.
-863
Let m(s) be the second derivative of -s**5/40 - 7*s**4/8 - 119*s**3/12 - 99*s**2/4 + 9529*s. Suppose m(f) = 0. Calculate f.
-11, -9, -1
Find d such that -17/4*d**2 + 4 - 17/4*d**3 + 4*d + 1/4*d**5 + 1/4*d**4 = 0.
-4, -1, 1, 4
Let j(q) = -40*q**2 - 148*q + 190. Let w be j(1). Factor -1/5 - 1/5*u + 1/5*u**w + 1/5*u**3.
(u - 1)*(u + 1)**2/5
Let k = 5122 + -5122. Let f(h) be the second derivative of -27*h - 1/60*h**5 - 7/36*h**4 - 11/18*h**3 - 5/6*h**2 + k. Factor f(t).
-(t + 1)**2*(t + 5)/3
Let z = -17251/4 - -4315. Let c(t) be the second derivative of -2*t**2 - 2/3*t**3 - 13/10*t**5 + z*t**4 + 6*t + 7/30*t**6 + 0. What is k in c(k) = 0?
-2/7, 1, 2
Let g(c) be the first derivative of -2*c**3/51 - 43*c**2/17 + 480*c/17 + 10790. Factor g(o).
-2*(o - 5)*(o + 48)/17
Let z be ((4/(-3))/(-1))/(94/40467). Determine o so that 16*o - 208*o**2 + 14*o - 2*o**3 + z*o**3 - 380*o**4 + 9*o - 23*o = 0.
0, 2/19, 2/5, 1
Let q(b) = -b**4 - 652*b**3 - 16536*b**2 - 85176*b. Let r(f) = f**4 + 328*f**3 + 8268*f**2 + 42588*f. Let d(v) = -3*q(v) - 7*r(v). Find g, given that d(g) = 0.
-39, -7, 0
Solve -70466*x**3 - 616593*x**2 - 227742*x**2 + 5631336*x + x**5 - 269*x**4 - 10536048 + 95277*x**3 = 0.
4, 87
Let v(r) be the third derivative of 154*r**2 + 0 + 3/190*r**5 + 16/57*r**3 - 2/19*r**4 - 1/1140*r**6 + 0*r. Solve v(h) = 0.
1, 4
Let w(c) be the first derivative of -1/39*c**4 - 8*c - 1/13*c**3 - 7 - 1/13*c**2. Let k(z) be the first derivative of w(z). Solve k(n) = 0 for n.
-1, -1/2
Let p = -47 - -164. Let y = -101 + p. Factor -1