1260 + x**5/30 - x**4/9 + 42*x**2 + 117. Factor q(k).
-k*(k - 2)**2*(k + 4)/6
Let r(b) be the second derivative of -8*b**3 + 3/10*b**6 + 8*b**2 + 14/3*b**4 - b - 1/42*b**7 + 15 - 8/5*b**5. Factor r(z).
-(z - 2)**4*(z - 1)
Suppose 4*p - 48 = 3*q + 19, -p + 21 = -5*q. Let y = p - 14. Let -12*k**3 - k**4 + 7*k**2 - 2*k**4 - 12*k - 3 - 7*k**2 - 18*k**y = 0. Calculate k.
-1
Let n be (15/(-25))/(-3 - (-270)/100). Let h = 18 + -15. Determine l so that 0 - 5/2*l**h + 15/2*l**n - 5*l = 0.
0, 1, 2
Factor 85/2*i + 275/2 + 1/2*i**2 - 1/2*i**3.
-(i - 11)*(i + 5)**2/2
Let c(k) = 4*k**2 - 36*k + 4. Let s be c(9). Find x such that -5*x**3 + s*x**2 - 18*x**4 - 10*x**3 - 2*x**3 + 3*x**3 = 0.
-1, 0, 2/9
Suppose -z = 5*l - 811, 2*l + 3*z - 154 = 173. Factor 32 - l*i**2 + 154*i**2 + 51*i + 9*i.
-4*(i - 8)*(2*i + 1)
Solve 207/4*k + 411/4*k**2 - 103/2 - 1/2*k**3 = 0 for k.
-1, 1/2, 206
Let l(r) be the second derivative of 1/54*r**3 - 1 - 1/180*r**5 + 2/9*r**2 - 1/27*r**4 - 10*r. What is j in l(j) = 0?
-4, -1, 1
Let i(r) = 2*r**2 - r**2 - 1 + 8*r + 12*r - 19*r. Let d(b) = -4*b**2 - 19*b - 12. Let n(p) = 4*d(p) + 12*i(p). Determine j so that n(j) = 0.
-15, -1
Let h(j) be the first derivative of j**4/16 + 43*j**3/6 - 461*j**2/8 - 273*j/2 - 76. Determine z, given that h(z) = 0.
-91, -1, 6
Suppose 0 = -8*d + 5*d + 132. Let -d*w - 46*w**2 - 44*w**2 + 141*w**2 - 104 - 47*w**2 = 0. Calculate w.
-2, 13
Let q(n) be the first derivative of n**6/540 + n**5/54 + n**4/36 - n**3/3 + 5*n**2/2 - 17*n - 206. Let w(d) be the second derivative of q(d). Factor w(v).
2*(v - 1)*(v + 3)**2/9
Factor -2/15*n**2 - 108/5*n + 0.
-2*n*(n + 162)/15
Let r(x) be the third derivative of 0*x - 1/600*x**6 - 1/15*x**4 + 2/15*x**3 + 1/60*x**5 + 0 - 165*x**2. What is p in r(p) = 0?
1, 2
Suppose -5*j + 4*z - 30 = 0, -5077*z + 5073*z = -4*j - 32. Solve -1 + 5/4*g**4 - 2*g + 7/4*g**3 - 1/4*g**j + 1/4*g**5 = 0 for g.
-2, -1, 1
Factor -20*s**3 + 8*s**4 + 4/3*s**5 + 0*s + 0 + 32/3*s**2.
4*s**2*(s - 1)**2*(s + 8)/3
Let y(u) be the third derivative of 0 - 3*u + 6/5*u**5 + 27/2*u**4 + 0*u**3 + 1/30*u**6 - 14*u**2. Factor y(d).
4*d*(d + 9)**2
Solve 80*i**4 - 2*i + 5*i**5 - 472*i**2 + 2*i - 385*i**3 + 348*i**2 + 424*i**2 = 0.
-20, 0, 1, 3
Let r(w) = -3*w**2 - 687*w + 1376. Let q(y) = 6*y**2 + 1374*y - 2754. Let x(a) = -5*q(a) - 9*r(a). Factor x(k).
-3*(k - 2)*(k + 231)
Suppose 46*j - 372 = 119 + 199. Factor -j - 5/3*q**4 + 20*q - 20/3*q**3 + 10/3*q**2.
-5*(q - 1)**2*(q + 3)**2/3
Let p = 38/215 + 3326/645. Let z(x) be the first derivative of -1/6*x**4 + 13 - p*x - 4/3*x**3 - 4*x**2. Factor z(t).
-2*(t + 2)**3/3
Let s = 188 + 9. Solve 331*d + 402*d + 3*d**4 + s*d + 60*d**3 + 366*d + 1296 + 432*d**2 = 0.
-6, -2
Let d(l) = -40*l**2 - 595*l - 3337. Let f(r) = 14*r**2 + 198*r + 1110. Let z(c) = -6*d(c) - 17*f(c). Find p, given that z(p) = 0.
-96, -6
Suppose 3*t + w - 31 = 48, 2*t = -3*w + 48. Factor 5*p**2 + 100 - 10*p**2 + t*p - 12*p + 25*p.
-5*(p - 10)*(p + 2)
Let p be 12 + (12 - (3 - -11) - (1 - -5)). Let q(t) be the second derivative of 2/3*t**3 + 8*t**2 + 0 - 1/6*t**p - 15*t. Factor q(c).
-2*(c - 4)*(c + 2)
Let p(v) be the third derivative of -v**8/2688 - 2*v**7/105 + 3*v**6/80 + 47*v**5/240 - 163*v**4/192 + 11*v**3/8 + 630*v**2 - 1. Factor p(x).
-(x - 1)**3*(x + 2)*(x + 33)/8
Let h(u) be the second derivative of -u**6/5 + 23*u**5/5 - 5*u**4/2 + 3688*u. Factor h(r).
-2*r**2*(r - 15)*(3*r - 1)
Suppose 0 = -3*x + 5*x - 4*d + 16, 3*d + 28 = -x. Let o be (-1 - x/15)*(-170)/(-51). Let -2/9*w**4 - o*w**5 + 0*w + 2/9*w**2 + 0 + 2/9*w**3 = 0. What is w?
-1, 0, 1
Let p(z) be the first derivative of 3*z**4 - 238*z**3/15 - 4*z**2/5 - 1178. Factor p(w).
2*w*(w - 4)*(30*w + 1)/5
Factor -498 + 252*z - 3/2*z**2.
-3*(z - 166)*(z - 2)/2
Let r be (2 - 36/(-28)*-2)/((-2)/3). Let m be (-1 - -9)/2 + 72/(-21). Let -2/7*t**2 - m - r*t = 0. What is t?
-2, -1
Let a(u) be the third derivative of 11/42*u**7 - 100/3*u**4 - 320/3*u**3 + 0 - 2/3*u**5 + 17/12*u**6 + u**2 + 5/336*u**8 + 33*u. Factor a(l).
5*(l - 2)*(l + 1)*(l + 4)**3
Let r(x) = 5*x**2 - 7294*x - 4414123. Let v(a) = 57*a**2 - 80238*a - 48555357. Let l(i) = 45*r(i) - 4*v(i). Factor l(o).
-3*(o + 1213)**2
Let z(b) be the first derivative of b**3/3 - 11*b**2/2 - 80*b - 2963. Find d such that z(d) = 0.
-5, 16
Suppose 0 = -124*h + 333*h. Let l(x) be the third derivative of 2/15*x**3 + h*x - 4*x**2 + 2/75*x**5 - 1/12*x**4 - 1/300*x**6 + 0. Factor l(u).
-2*(u - 2)*(u - 1)**2/5
Let w(d) = -3*d + 10 + 9 - 2*d + 4*d. Let k be w(2). Suppose 255*l**2 + 5*l**4 - 20*l**5 + k*l**3 - 260*l**2 + 3*l**3 = 0. Calculate l.
-1, 0, 1/4, 1
Factor -19/2*h**3 - 96*h + 0 + 56*h**2 + 1/2*h**4.
h*(h - 8)**2*(h - 3)/2
Let c(m) = -m**2 - 6*m + 43. Let d be c(-10). Factor 14 - 105*i + 117*i - d*i**2 + i**2.
-2*(i - 7)*(i + 1)
Let i(p) = p**4 + p**3 + p**2 - p + 1. Let h(n) = 6*n**4 + 9*n**3 - 6*n**2 - 15*n + 15. Let s = -46 - -47. Let k(r) = s*h(r) - 3*i(r). Solve k(c) = 0.
-2, 1
Let g = 48616/105 - 6928/15. Let -10/7*w**2 + 4/7*w + 0 + g*w**3 - 2/7*w**4 = 0. What is w?
0, 1, 2
Determine k, given that 39090*k**4 - 416*k**3 - 113*k**2 - 39014*k**4 - 4*k**5 + 817*k**2 = 0.
0, 4, 11
Let u(y) = -y**3 - 7*y**2 - 3*y - 1. Let f be u(-5). Let a = 40 + f. Factor 66*r**2 - 5*r**a - 2 - 20*r - 3 - 20*r**3 - 96*r**2.
-5*(r + 1)**4
Let p be 12/3 + -4 + (-143)/(-22). Let o(y) be the first derivative of 10 + 0*y + 26/3*y**3 + 6/5*y**5 + p*y**4 + 3*y**2. Factor o(w).
2*w*(w + 1)*(w + 3)*(3*w + 1)
Suppose -2*z + 59 - 67 = 0. Let l(t) = -t**2 + 1. Let a(b) = -52 + 3*b**2 - 6*b + 30*b - 2*b**2. Let p(w) = z*l(w) - a(w). Factor p(h).
3*(h - 4)**2
Let r(v) = 5*v - 170. Let s be r(41). Let p(d) = 18*d**2 - 254*d + 845. Let h(m) = 305*m**2 - 4315*m + 14365. Let k(f) = s*p(f) - 2*h(f). Factor k(g).
5*(2*g - 13)**2
Let d(s) be the first derivative of s**6/720 + s**5/45 - s**4/16 + s**2/2 - 8*s + 5. Let k(v) be the second derivative of d(v). Factor k(p).
p*(p - 1)*(p + 9)/6
Let t = 1628 - 1630. Let d be (-26)/39*(0 + 6/t). Factor -1/3*m**d - 16/3 - 8/3*m.
-(m + 4)**2/3
Let q be 222/(-24) + 8 - (-5)/4. Let c(s) = -31*s + 3. Let z be c(q). Factor 1/5*j**2 + 1/5*j**z + 0 + 0*j.
j**2*(j + 1)/5
Let i(s) be the first derivative of -14*s**5/5 - 5*s**4/2 + 20*s**3 + 20*s**2 - 16*s - 794. Let i(g) = 0. What is g?
-2, -1, 2/7, 2
Factor 5*j**2 - 29*j + 624 - 316 - 43*j + 0*j**2 - j**2.
4*(j - 11)*(j - 7)
Suppose 169*j - 166*j = 6. Let k(w) be the first derivative of -2/15*w**3 - 15 + 0*w**j + 0*w + 1/10*w**4. Factor k(h).
2*h**2*(h - 1)/5
Let i = 332321 - 1329283/4. Factor -i*t**2 + 6 + 23/4*t.
-(t - 24)*(t + 1)/4
Let z(b) be the second derivative of -1/36*b**4 + 14/9*b**3 + 29/6*b**2 + 0 - 54*b. Factor z(c).
-(c - 29)*(c + 1)/3
Let n(y) = -2*y + 10. Let z be n(-7). Suppose 3 = -7*k + z. Factor -k + 5*d**3 - 14*d + 15 - 10*d**2 + 9*d - 2.
5*(d - 2)*(d - 1)*(d + 1)
Suppose 45*p + 219 = -186. Let t be p*4/(-72) + 1. Factor -1/4*a - 7/8*a**4 - 3/8*a**2 + 0 + t*a**3.
-a*(a - 1)**2*(7*a + 2)/8
Let q(u) be the first derivative of -u**5/60 + 77*u**4/24 - 38*u**3/3 - 135*u**2 + 32. Let t(n) be the second derivative of q(n). Find w such that t(w) = 0.
1, 76
Let k(y) be the first derivative of -y**5/140 + 2*y**4/21 - y**3/6 + 72*y - 14. Let u(m) be the first derivative of k(m). What is f in u(f) = 0?
0, 1, 7
Let r(g) be the second derivative of g**6/240 - g**5/40 - 59*g**4/96 + 21*g**3/8 + 4771*g. Factor r(u).
u*(u - 9)*(u - 2)*(u + 7)/8
Factor 69*n + 2962*n - 543*n + 468*n - 4*n**2 + 2640*n.
-4*n*(n - 1399)
Let n(s) be the second derivative of -s**4/15 + 22*s**3/5 - 64*s**2/5 + 526*s + 1. Suppose n(w) = 0. Calculate w.
1, 32
Let s(t) be the second derivative of t**7/210 - 7*t**6/120 - t**5/12 + 25*t**4/8 + 27*t**2/2 + 24*t. Let n(b) be the first derivative of s(b). Factor n(d).
d*(d - 5)**2*(d + 3)
Let d(l) be the first derivative of -181 + 28*l**5 - 245*l**4 - 5/6*l**6 + 0*l**2 + 0*l + 0*l**3. Determine h, given that d(h) = 0.
0, 14
Find m, given that 69/2*m + 3/8*m**2 - 69/2*m**3 - 3/8*m**4 + 0 = 0.
-92, -1, 0, 1
Let o = -1869 - -1850. Let v be 2/o + (-780)/(-190). Solve 5/2*l**v + 35/2*l**3 + 50*l + 45*l**2 + 20 = 0 for l.
-2, -1
Let x(a) be the third derivative of -3*a**6/10 + 13*a**5/4 - 97*a**4/8 + 15*a**3 - 982*a**2. Find s such that x(s) = 0.
