erivative of 3*f**5/40 + 195*f**4/32 + 1575*f**3/8 + 50625*f**2/16 + 50625*f/2 - 3146. Factor l(b).
3*(b + 15)**3*(b + 20)/8
Let m(k) = 35*k**2 + 2290*k - 7460. Let t(w) = -5*w**2 - 327*w + 1066. Let a(p) = -8*m(p) - 55*t(p). Factor a(n).
-5*(n - 3)*(n + 70)
Suppose 4*t = -4 - 8, 0 = -5*l - 3*t - 4. Let c be 27 - 16 - (l - 0). Suppose -482*g**4 + c*g**2 - 50*g**2 + 492*g**4 + 16*g - 4*g**3 = 0. Calculate g.
-2, 0, 2/5, 2
Find a, given that 1/6*a**2 - 427/3 - 425/6*a = 0.
-2, 427
Let j(f) be the second derivative of -f**4/66 + 7*f**3/3 - 670*f**2/11 + 2386*f. Factor j(t).
-2*(t - 67)*(t - 10)/11
Let i(j) = 125*j - 1124. Let w be i(9). Let k(h) be the first derivative of -5*h**4 - 8/3*h**3 + 0*h**2 + 0*h + w - 16/5*h**5 - 2/3*h**6. Factor k(x).
-4*x**2*(x + 1)**2*(x + 2)
Let w be (-2058)/99 + (-4)/(-3). Let v = 911/44 + w. Factor v*o + 0 - 1/4*o**2.
-o*(o - 5)/4
Factor -2/5*k**4 - 34298/5*k**2 + 131064/5*k - 129032/5 + 516/5*k**3.
-2*(k - 127)**2*(k - 2)**2/5
Let m(t) be the second derivative of 0 + 0*t**4 + 0*t**3 + 92*t + 0*t**2 + 1/60*t**5 + 1/45*t**6 + 1/126*t**7. Find w, given that m(w) = 0.
-1, 0
Let v(a) be the third derivative of a**5/330 + 3*a**4/22 - 208*a**3/33 + 29*a**2 + 5*a + 4. Find u such that v(u) = 0.
-26, 8
Let s(u) be the first derivative of -95*u**5 + 10/3*u**6 + 6830/3*u**3 + 560*u**4 + 845*u + 6 + 2470*u**2. Determine n, given that s(n) = 0.
-1, -1/4, 13
Let t = -978142 + 6847000/7. Suppose 304/7*m - 200/7 - t*m**2 = 0. What is m?
2/3, 50
Let f = 1624 + -440. What is z in -66*z**3 - 1134*z**3 + f*z**2 + 243*z - 8008*z**4 - 747*z**5 + 13*z + 317*z**5 - 550*z**5 = 0?
-8, -2/7, 0, 2/5
Let d(l) be the third derivative of l**5/160 - 3*l**4/64 - 85*l**3/4 + l**2 + 439*l. Factor d(m).
3*(m - 20)*(m + 17)/8
Let d be -1*2/13 + ((-11776)/520 - -26). Factor -d*j - 2/5*j**2 - 32/5.
-2*(j + 4)**2/5
Suppose c + 16 = 5*v, -4*c = -v + 4*v - 5. Factor 24*m**2 + 3*m**v + 4*m**4 + 25*m**3 - m**2 + 25*m**2.
4*m**2*(m + 3)*(m + 4)
Let j(t) = 9*t**3 - t. Let v(h) = 70*h**3 + 1524*h**2 - 387104*h + 32774128. Let q(z) = -8*j(z) + v(z). Let q(c) = 0. Calculate c.
254
Factor -2*t**2 + 5/4*t**4 - 1/2*t**3 + 1/2*t + 3/4.
(t - 1)**2*(t + 1)*(5*t + 3)/4
Let v(w) be the second derivative of -14/3*w**4 + 4/3*w**3 - 23 - 49/10*w**5 + 5*w + 0*w**2 - 17/15*w**6. Suppose v(x) = 0. Calculate x.
-2, -1, 0, 2/17
Suppose 15*d - 16*d + 95 = 4*a, 5*a + 5*d = 100. Suppose 5*l - 1 = -2*m, -26*l = -m - a*l + 4. Determine y so that 0 - 3/2*y**4 - 29/6*y**m + 0*y - y**2 = 0.
-3, -2/9, 0
Let w(g) be the third derivative of 0*g**3 + 0*g**4 - 1/315*g**7 + 2/135*g**5 + 0*g - 1/1512*g**8 + 0 + 0*g**6 - 5*g**2. Find s, given that w(s) = 0.
-2, 0, 1
Let d be (2 - 13)*((-5)/1 + 4). Suppose 15*g = d*g + 8. Solve -111 + 43 - 4*i**g + 32 - 24*i = 0.
-3
Let p be (-2 - -1)*(-12)/(-2). Let m be 3/(p/16*-2). Suppose -5 + 15*n - 10*n + m*n**2 + n**2 - 5 = 0. What is n?
-2, 1
Let 2/15*b**2 + 368/3 + 82/5*b = 0. Calculate b.
-115, -8
Let t(z) be the second derivative of z**6/20 + 21*z**5/10 + 33*z**4/2 - z - 1302. Factor t(n).
3*n**2*(n + 6)*(n + 22)/2
Suppose -8*y + 2*y + 54 = 12*y. Let b(v) be the second derivative of 0*v**2 - 3/4*v**4 + 11*v + 0*v**y - 3/20*v**5 + 0. Factor b(h).
-3*h**2*(h + 3)
Determine t so that 604/7*t + 1224/7 - 4/7*t**2 = 0.
-2, 153
Let q(g) be the first derivative of 3*g**4 + 179*g**3 - 549*g**2/2 - 10090. Let q(a) = 0. What is a?
-183/4, 0, 1
Let g be (-24)/54*(-16 + (-1 - -8)). Let t(s) be the second derivative of 1/36*s**g + 13*s + 0 + 2/3*s**2 - 2/9*s**3. Solve t(l) = 0.
2
Suppose -68 = -51*f + 85. Let s(h) be the first derivative of 1/12*h**f + 5/8*h**2 - 20 + h. Find d, given that s(d) = 0.
-4, -1
Solve 2/7*v**2 + 4954952/7 + 6296/7*v = 0.
-1574
Let d be 3/3 + (-150)/130 + (-127)/(-780). Let j(c) be the third derivative of 1/78*c**5 + 0*c**3 - d*c**6 + 0 + 1/78*c**4 + 0*c + 20*c**2. Factor j(r).
-2*r*(r - 1)*(7*r + 2)/13
Let b(s) be the first derivative of s**4/5 + 4*s**3/5 - 4*s**2 - 1986. Factor b(q).
4*q*(q - 2)*(q + 5)/5
Let g(o) be the third derivative of o**6/40 + 23*o**5/40 + 31*o**4/16 + 5*o**3/2 + 2*o**2 - 442. Suppose g(t) = 0. Calculate t.
-10, -1, -1/2
Let r = 1258327 + -11324435/9. Factor 2*l**3 + 3640/9*l + 784/9 + r*l**2.
2*(l + 14)**2*(9*l + 2)/9
Let y be (2/(-26))/(19/(-912)). Suppose 28 = 8*m + 4. Factor y*h**2 - 30/13*h + 32/13*h**m + 4/13.
2*(h + 2)*(4*h - 1)**2/13
Let z(g) be the first derivative of 43*g**5/5 + 45*g**4/2 - 293*g**3/3 + 72*g**2 + 16*g + 286. Let z(a) = 0. Calculate a.
-4, -4/43, 1
Let k = 180 - 179. Factor -k + 4 + 6*a**2 - 7*a**2 + 8*a**2 + 10*a.
(a + 1)*(7*a + 3)
Let j(p) be the second derivative of -p**5/40 + 11*p**4/4 + 34*p**3/3 + 3545*p. Factor j(w).
-w*(w - 68)*(w + 2)/2
Suppose 0 = 2494*u - 2455*u - 78. Suppose -2/5*s**5 + 2/5*s**u + 0*s + 0 + 2/5*s**3 - 2/5*s**4 = 0. Calculate s.
-1, 0, 1
Let a be 2/3 + (-892)/4014. Factor -2/9*o**3 - a*o**2 + 2/9*o + 4/9.
-2*(o - 1)*(o + 1)*(o + 2)/9
Let i(j) be the third derivative of -1728/7*j**3 + 16 - 1/210*j**5 + 4*j**2 + 0*j + 12/7*j**4. Factor i(s).
-2*(s - 72)**2/7
Let j be 2*((-70)/20 - -6). Suppose -2*w + 0*w = -j*z + 21, w + 5*z = 27. Factor 2/13*f + 50/13*f**3 + 20/13*f**w + 0.
2*f*(5*f + 1)**2/13
Solve 22599*x - 2*x**2 - 22731*x + 2*x**2 - 3*x**2 - 480 = 0 for x.
-40, -4
Let x(r) = 2*r**2 + 6*r - 9. Let f be x(-6). Let d(i) = -2*i**2 + 51*i + 89. Let t be d(f). Factor 22/3*q**3 + 2/3*q**5 + 16/3 - t*q - 4*q**4 - 4/3*q**2.
2*(q - 2)**3*(q - 1)*(q + 1)/3
Let m(g) = -11*g**4 + 13*g**3 - 26*g**2 - 4*g - 4. Let y(u) = 14*u**4 - 14*u**3 + 27*u**2 + 5*u + 5. Let t(q) = -5*m(q) - 4*y(q). Factor t(c).
-c**2*(c - 2)*(c + 11)
Factor 281 + 285 + 877*q + 243*q + 1325*q - 5*q**2 - 561 - 2445*q**3.
-5*(q - 1)*(q + 1)*(489*q + 1)
Let a be 6/(-3)*(2/(-14) + (-156)/84). Let y(r) be the second derivative of -25/6*r**2 + a*r - 5/3*r**3 - 5/36*r**4 + 0. Determine x, given that y(x) = 0.
-5, -1
Suppose 312 = v + 304. Suppose 3 = 2*s + q, v - 14 = 2*q. Factor 0*b**4 - 2/15*b**5 + 0*b**2 + 8/15*b**s + 0 + 0*b.
-2*b**3*(b - 2)*(b + 2)/15
Let v(k) be the third derivative of -1/240*k**5 + 17/96*k**4 + 3/4*k**3 + 0 + 0*k + 60*k**2. Factor v(m).
-(m - 18)*(m + 1)/4
Factor 1/2*c**3 - 6*c + 0 - 2*c**2.
c*(c - 6)*(c + 2)/2
Suppose -28 = -s - 6*s. Let 2*g**s - 5*g**4 - g**4 + g**4 = 0. What is g?
0
Let s(w) = w**5 + 2*w**4 - 28*w**3 + 6*w**2 - 11*w - 5. Let b(t) = -t**5 - 2*t**4 + 38*t**3 - 10*t**2 + 17*t + 7. Let z(f) = -5*b(f) - 7*s(f). Factor z(u).
-2*u*(u - 1)**2*(u + 2)**2
Let x(u) = -u**2 - 5*u - 1. Let f be x(-8). Let g = -16 - f. Suppose g*j**2 + j**3 + 3*j - 4*j**3 - 9*j = 0. Calculate j.
0, 1, 2
Let y(z) = 3*z**3 - 19*z**2 + 6*z + 4. Let v be y(6). Let b = -6 + 9. Factor -2*r - 38*r**2 + 0*r + 25*r**2 - 13*r**4 - 23*r**b + r**v.
-r*(r + 1)*(3*r + 2)*(4*r + 1)
Suppose -24*n = -28*n + 184. What is i in -6807*i**2 - 2*i + n*i + 6853*i**2 + 2*i**3 = 0?
-22, -1, 0
Let q(f) = -3*f**3 + 104*f**2 - 147*f + 44. Let i(s) = -5*s**3 + 204*s**2 - 293*s + 89. Let l(k) = -2*i(k) + 5*q(k). Suppose l(h) = 0. What is h?
2/5, 1, 21
Let j(m) be the first derivative of m**3/3 + 31*m**2 - 63*m + 1006. Factor j(x).
(x - 1)*(x + 63)
Factor -766*h + 149 + 914*h + 2*h**2 - 3*h**2.
-(h - 149)*(h + 1)
Let l(k) be the first derivative of -2*k**6/3 + 24*k**5/5 + 6*k**4 - 176*k**3/3 + 102*k**2 - 72*k - 671. Factor l(b).
-4*(b - 6)*(b - 1)**3*(b + 3)
Suppose -3*r + 3*j = -72, 84*r - 2*j + 56 = 86*r. Suppose -34*t = -178 - r. Factor -9*s**2 + 6*s - 3/2 - 3/2*s**4 + t*s**3.
-3*(s - 1)**4/2
Let k(p) be the third derivative of p**5/12 - 485*p**4/24 + 475*p**3/3 - 1070*p**2. Factor k(z).
5*(z - 95)*(z - 2)
Let z = -45599 + 45601. Factor -2*x**z + 0 + 7/4*x**4 + 13/2*x**3 + 0*x.
x**2*(x + 4)*(7*x - 2)/4
Factor 24964 - 158*l + 1/4*l**2.
(l - 316)**2/4
Suppose j + 4*r - 24 = 0, -3*r = -r - 6. Suppose 23*s = 19*s + j. Find t, given that s*t - 4*t - 2*t**2 + 3*t**2 = 0.
0, 1
Let g be ((-1710)/140)/(-9) - (-32)/(-28). Let a(m) be the second derivative of 0 - g*m**2 - 5*m + 1/7*m**3 - 1/28*m**4. Solve a(t) = 0 for t.
1
Let s(l) = 6*l + 54. Let a be s(-7). Suppose -21*i**3 - 24*i + 0*i**3 - a - 15*i**2 + 10*i**3 + 8*i**3 = 0. Calculate i.
-2, -1
Let w be (-1520)/608*16/10 - -4. Suppose w - 3/4*n + 1/2*n**3 - n**4 + 1/4*n**5