1796 - 335*r**2 + 2*r**3.
-5*(r - 3)*(r - 2)*(r + 72)
Let v(m) be the first derivative of m**6/540 + m**5/18 + 7*m**4/12 + 49*m**3/27 - 171*m**2/2 + 178. Let l(q) be the second derivative of v(q). Factor l(w).
2*(w + 1)*(w + 7)**2/9
Let p(g) be the second derivative of -g**5/60 + 37*g**4/36 + 154*g**3/9 - 5397*g. Factor p(v).
-v*(v - 44)*(v + 7)/3
Let d = 31584 - 104637790/3313. Let n = d - -3309/6626. Factor n*l**3 + 5/2*l**2 + 7/2*l + 3/2.
(l + 1)**2*(l + 3)/2
Let j(l) be the first derivative of -24*l**5/5 + 17*l**4/2 + 14*l**3/3 - 17*l**2 + 10*l - 373. What is g in j(g) = 0?
-1, 5/12, 1
Let n(u) = -15*u + 332. Let v be n(22). Solve 12*i + 4 - i + 3*i - 9*i - i**2 - v*i = 0.
-1, 4
Let j = -2435 + 2437. Let b(o) be the first derivative of -14/45*o**5 - 26/27*o**3 + 0*o + 18 - 4/9*o**j - 1/27*o**6 - 5/6*o**4. Factor b(z).
-2*z*(z + 1)**3*(z + 4)/9
Solve 1/2*n**2 - 865/2 - 432*n = 0 for n.
-1, 865
Let g(d) be the first derivative of -d**3/27 + 10*d**2 - 179*d/9 + 1306. Find p, given that g(p) = 0.
1, 179
Let g be (136/(-2) - -53)/(-1 + -4). Let d = -1/26 - -55/78. Suppose 2/3*c**4 - 2/3*c**2 + 2/3*c - d*c**g + 0 = 0. What is c?
-1, 0, 1
Let a(i) = -i**3 + 10*i**2 + 67*i + 80. Let g(f) = 2*f**3 - 20*f**2 - 133*f - 155. Let n(o) = 5*a(o) + 2*g(o). Suppose n(p) = 0. What is p?
-3, -2, 15
Let h = 117 + -103. Factor h*b**2 + 16 + 21*b + 40*b**3 + 10*b - 41*b**3.
-(b - 16)*(b + 1)**2
Let n(u) be the third derivative of -u**9/3024 + 3*u**8/448 + 5*u**7/252 - 77*u**4/24 - 3*u**2 + 1. Let h(t) be the second derivative of n(t). Factor h(a).
-5*a**2*(a - 10)*(a + 1)
Let m = 5036 + -3142. Determine q so that -18*q**5 - m*q - 3106*q - 1650*q**3 + 6500*q**2 + 155*q**4 + 13*q**5 = 0.
0, 1, 10
Let o = -1346 - -1375. Suppose 9*q + o = 65. Factor -1/5*f**q + 0 + 1/5*f**3 + 2/5*f**2 + 0*f.
-f**2*(f - 2)*(f + 1)/5
What is s in 154587 - 160*s + 795*s + 727*s + s**2 + 2*s**2 = 0?
-227
Let v(n) = 13*n**2 - 14*n - 32. Let w(r) = -4*r**2. Suppose 0 = -18*a - 6*a - 24. Let c(b) = a*v(b) - 3*w(b). Solve c(q) = 0 for q.
-2, 16
Let h(g) be the first derivative of -g**6/12 - 17*g**5/2 - 41*g**4 - 54*g**3 + 9047. Factor h(s).
-s**2*(s + 2)**2*(s + 81)/2
Let f(b) = b**3 + 44*b**2 - 34*b - 78. Let d be f(-45). Let o = d + 575. Factor 0*y - 7/2*y**4 - 9/2*y**o + 0 + 15/2*y**3 + 1/2*y**5.
y**2*(y - 3)**2*(y - 1)/2
Let b(g) be the first derivative of -g**6/360 - g**5/120 + g**4/12 - 130*g**3/3 - 104. Let y(t) be the third derivative of b(t). Determine q so that y(q) = 0.
-2, 1
Let a(i) be the second derivative of -2/3*i**2 + 27*i + 4/15*i**5 + 0 - i**4 + 4/3*i**3. Factor a(d).
4*(d - 1)**2*(4*d - 1)/3
Suppose -3*s = 3*b - 3, -4*s = -b + 4 - 8. Let g(y) be the second derivative of b + 5/21*y**3 + 1/6*y**4 + 5*y - 2/7*y**2. Let g(w) = 0. What is w?
-1, 2/7
Let c be (-2 - -3)/(1 - (-9)/(-8)). Let h be (-3*(-1)/2)/(-10)*c. Factor -18/5 - h*v + 2*v**2 - 2/5*v**3.
-2*(v - 3)**2*(v + 1)/5
Let f(i) = 2*i**3 - 325*i**2 + 45*i + 2958. Let d(g) = -4*g**3 + 324*g**2 - 48*g - 2960. Let b(c) = 3*d(c) + 4*f(c). Find y, given that b(y) = 0.
-82, -3, 3
Factor 2/5*g**3 - 4 - 14/5*g + 8/5*g**2.
2*(g - 2)*(g + 1)*(g + 5)/5
Factor 36/7 - 2/7*u**3 - 6*u + 16/7*u**2.
-2*(u - 3)**2*(u - 2)/7
Let k(b) = -3*b**2 - 181*b - 796. Let u(q) = 10*q**2 + 634*q + 2784. Let h(p) = -17*k(p) - 5*u(p). Solve h(c) = 0 for c.
-4, 97
Let w(i) = 9*i**2 - 17*i - 266. Let k(t) = -20*t**2 + 35*t + 530. Let o(p) = 2*k(p) + 5*w(p). Find m such that o(m) = 0.
-6, 9
Suppose 66*s**2 - 6*s**4 + 0 + 18*s - 51/2*s**3 = 0. What is s?
-6, -1/4, 0, 2
Let q(u) = -3*u + 1. Let l be q(-3). Suppose l = -355*n + 360*n. Factor 32/5 + 2/5*d**n + 16/5*d.
2*(d + 4)**2/5
Let o(m) be the second derivative of 1/4*m**5 - 5/3*m**3 - 76*m + 5/12*m**4 + 0 + 0*m**2. Factor o(r).
5*r*(r - 1)*(r + 2)
Let a be ((-6)/200)/(86 + -92). Let v(o) be the third derivative of 0 + a*o**6 + 0*o - 3/40*o**4 + 0*o**5 - 15*o**2 + 1/5*o**3. Factor v(t).
3*(t - 1)**2*(t + 2)/5
Let i(p) be the third derivative of 19*p**7/1260 - p**6/180 - p**4/24 + 3*p**3 - 22*p**2 - 3. Let y(t) be the second derivative of i(t). Factor y(a).
2*a*(19*a - 2)
Suppose p + 72 = 97231*m - 97226*m, 45 = 5*p + 2*m. Solve -4/7*y**2 + 0 + 2/7*y**p - 30/7*y = 0.
-3, 0, 5
Suppose 527*m = -1679*m + 4412. Factor m*v**2 + 0 - 1/3*v**4 + 5/3*v**3 + 0*v.
-v**2*(v - 6)*(v + 1)/3
Let i(r) = 3*r**4 + 4*r**3 - 12*r**2 - 8*r. Suppose 0 = 17*b - 30 - 38. Let n(d) = 7*d**4 + 7*d**3 - 23*d**2 - 18*d. Let s(k) = b*n(k) - 9*i(k). Factor s(z).
z**2*(z - 4)**2
Let k(o) be the first derivative of -o**3/9 - 23*o**2 + 280*o/3 - 12318. Factor k(b).
-(b - 2)*(b + 140)/3
Let o = -17 - -15. Let p be (-22)/330 + o/(-3). Solve -3/5*m + 3/5*m**3 + p - 3/5*m**2 = 0 for m.
-1, 1
Let x = 11 - 14. Let b = 2 - x. Factor b*h**2 - 9*h + 25 + 13*h - 14*h - 4*h**2.
(h - 5)**2
Let b(w) = 2*w**2 + 1496*w - 9046. Let s be b(6). Determine o so that 192/5*o - 4/5*o**s - 2304/5 = 0.
24
Solve 1/6*z**3 + 151/3*z**2 - 1232/3*z + 2480/3 = 0 for z.
-310, 4
Let g = 1023559 - 2047109/2. Let -19/4 + 1/4*h**2 + g*h = 0. What is h?
-19, 1
Let t(r) be the first derivative of -r**6/6 + 7*r**5/5 + 27*r**4/2 - 338*r**3/3 - 805*r**2/2 + 3675*r - 953. Determine b, given that t(b) = 0.
-5, 3, 7
Find y such that 2950/9*y**2 - 50056/9*y**3 + 266/9*y + 97432/9*y**4 + 4/9 + 150176/9*y**5 = 0.
-1, -1/38, 2/13, 1/4
Let p(h) be the third derivative of h**5/20 + 17*h**4/2 + 66*h**3 + 31*h**2 - 7*h. Factor p(w).
3*(w + 2)*(w + 66)
Let k(h) be the second derivative of 11*h**4/3 + 188*h**3/3 - 90*h**2 + 2*h + 63. Factor k(w).
4*(w + 9)*(11*w - 5)
Let m be ((-60)/15)/(-3 + 10/3). Let h = m + 51/4. Suppose 6*v - 12 - h*v**2 = 0. Calculate v.
4
Let v = 29/1090 + 1687/18530. Suppose -14/17*d + 14/17*d**3 - v*d**4 + 0 + 2/17*d**2 = 0. What is d?
-1, 0, 1, 7
Let y(d) = 4*d**2 - 30*d - 16. Let i(p) = p**2 - 2. Let b(r) = 6*i(r) - y(r). Let o be b(-15). Factor 6/5*u**o + 14/5*u**3 + 1/5*u**5 + 9/5*u + 2/5 + 16/5*u**2.
(u + 1)**4*(u + 2)/5
Suppose 2*s - x - 6 = 0, 4*x = -3*s + 1 - 3. Factor -58*g**2 - 120*g - 720 + 16*g**s + 24*g**2 + 13*g**2.
-5*(g + 12)**2
Let s(x) be the second derivative of x**5/35 + 51*x**4/7 - 206*x**3/7 + 310*x**2/7 + 71*x + 5. Determine y, given that s(y) = 0.
-155, 1
Let w = -13254 + 13271. Let s(g) be the first derivative of -49/2*g**4 + 532/3*g**3 + 164*g**2 - w + 48*g. Factor s(x).
-2*(x - 6)*(7*x + 2)**2
Suppose -4*s = 5767 - 5783. Factor 2*h + 1/2*h**4 + s*h**2 + 5/2*h**3 + 0.
h*(h + 1)*(h + 2)**2/2
Suppose -v - 7 = -3*x, x - 6 = v - 5. Let d(w) be the second derivative of -1/4*w**4 - 32*w + 0 + 3/2*w**x + 1/80*w**5 + 0*w**2. Let d(r) = 0. What is r?
0, 6
Let u be 4/(-14) + (-16)/(-7). Factor -o - 4*o - 71*o**2 + 76*o**u.
5*o*(o - 1)
Suppose -3*c = 0, -3*c = -5*v - 7*c + 120. Suppose 6*w + 0 = v. Factor 17*t**4 - t**3 - 21*t**w - 7*t**3.
-4*t**3*(t + 2)
Let d = -410 + 414. Let b(q) be the second derivative of 9/16*q**2 + 2*q - 1/4*q**3 + 0 + 1/32*q**d. Solve b(f) = 0.
1, 3
Let v(k) = 22*k + 110. Let h be v(-5). Let d be (6*-1)/(h + -2). Factor 1/2*p - 1/2*p**d + 0 + 2*p**2 - 2*p**4.
-p*(p - 1)*(p + 1)*(4*p + 1)/2
Factor 54/7 - 54/7*q + 2/7*q**5 - 36/7*q**2 - 18/7*q**4 + 52/7*q**3.
2*(q - 3)**3*(q - 1)*(q + 1)/7
Let a(n) be the second derivative of -n**4/126 - 1271*n**3/63 - 1169*n. Solve a(p) = 0 for p.
-1271, 0
Let h(b) be the first derivative of -b**6/12 + 38*b**5/5 - 111*b**4/4 + 110*b**3/3 - 73*b**2/4 + 1348. Let h(y) = 0. Calculate y.
0, 1, 73
Factor 218*h**2 + 17490*h + 2/3*h**3 - 54450.
2*(h - 3)*(h + 165)**2/3
Let 6*d - 20/3*d**3 - 16/3*d**2 + 16/3*d**4 + 2/3*d**5 + 0 = 0. What is d?
-9, -1, 0, 1
Let x(c) be the first derivative of 3*c**5/80 + 19*c**4/16 + 99*c**3/8 + 243*c**2/8 - 81*c - 64. Let k(l) be the first derivative of x(l). Factor k(r).
3*(r + 1)*(r + 9)**2/4
Let s be (-12)/(288/6) + (-17)/(-4). Let n(f) be the first derivative of 1/6*f**3 + 3/8*f**s + 1/10*f**5 + 9 - 3/4*f**2 - f. Let n(t) = 0. Calculate t.
-2, -1, 1
Let n(t) be the second derivative of 5*t**7/42 + 317*t**6/6 - 637*t**5/4 + 1595*t**4/12 + 397*t - 3. Find j such that n(j) = 0.
-319, 0, 1
What is p in -1/6*p**2 - 70/3 + 47/2*p = 0?
1, 140
Determine v so that 1/9*v**4 + 14/9*v**2 + 0 - 8/9*v - 7/9*v**3 = 0.
0, 1, 2, 4
Find g such that -2*g**4 - 626*g**3 + 626