 - 24*r + q*r**3 - 29*r**2 = 0?
-6, -1, 0
Factor 75/4 + 32*d + 5/4*d**2.
(d + 25)*(5*d + 3)/4
Find x, given that -86*x + 8*x**3 - 16*x**3 + 6*x - 24 - x**3 - 54*x**2 - x**3 = 0.
-3, -2, -2/5
Suppose -452 = -18*w + 358. Let c be 4/((-80)/w) - (4 - 7). Determine z so that 0*z**3 - 3/4*z**2 + 3/8*z**5 + 0 + c*z**4 - 3/8*z = 0.
-1, 0, 1
Let z be 3 + (0/2)/4 + -3. Suppose 14 = 3*g - 5*h, z*g - 20 = -5*g + 5*h. Factor 3*k**2 - 39*k**2 - 4*k - 12*k**2 + 24 + 20*k**g - 40*k.
4*(k - 3)*(k + 1)*(5*k - 2)
Let h = 1887 - 32061/17. Let d be (2 - (-138)/(-68))/(2/(-96)). Solve -8/17 + d*r + h*r**2 - 14/17*r**3 = 0.
-1, 2/7, 2
Find u, given that -3*u**2 - 29*u**2 + 16*u**3 + 0*u**3 - 12*u**3 + 32 - 4*u = 0.
-1, 1, 8
Let j(t) = -28*t - 84. Let u(q) = -29*q - 3. Let k be u(0). Let v be j(k). Let 0 + v*g - 4/11*g**4 + 0*g**2 + 0*g**3 - 2/11*g**5 = 0. What is g?
-2, 0
Let l(w) be the third derivative of w**7/5040 - w**6/160 + w**5/30 + 23*w**4/8 + 60*w**2. Let p(d) be the second derivative of l(d). Let p(q) = 0. What is q?
1, 8
Suppose 167*q - 166*q - 9 = -4*n, 2*q = 2*n - 2. Let u = -1/21 + 4/21. Factor -u*j**5 + 0*j + 0 + 3/7*j**4 + 1/7*j**n - 3/7*j**3.
-j**2*(j - 1)**3/7
Let t be (-24)/28*(-245)/28*(-8)/(-20). Let b(n) be the first derivative of 8/3*n**t + 16*n + 22 + 18*n**2. Factor b(y).
4*(y + 4)*(2*y + 1)
Let v = -249 + 245. Let n be 2/((-120)/(-35)) - 3/v. Factor n*y + 2*y**2 + 0 - 10/3*y**3.
-2*y*(y - 1)*(5*y + 2)/3
Let f be ((-365970)/20)/11 - (1 - -6). Let r = -1670 - f. Find t, given that r*t**2 + 1/2*t**3 - 5/2*t + 3/2 = 0.
-3, 1
Let r(f) be the first derivative of 154 + 1/2*f**3 - 13/2*f**2 - 9/2*f. Factor r(s).
(s - 9)*(3*s + 1)/2
Let g(m) be the third derivative of -m**5/20 - 1249*m**4/8 - 1247*m**3 + m**2 + 194*m + 5. Factor g(z).
-3*(z + 2)*(z + 1247)
Let s(f) be the second derivative of -1/7*f**4 + 5 + 2/105*f**6 + 4/7*f**2 - 2/21*f**3 + 1/35*f**5 - 4*f. Determine x, given that s(x) = 0.
-2, -1, 1
Let s be 12/3 - ((-22)/66 + -2). Determine p so that 1/3*p**4 + 0 + s*p**3 + 80/3*p**2 - 100/3*p = 0.
-10, 0, 1
Let b be ((-56)/(-6))/(90/54 - 1). Let n be ((-6)/b)/(93/(-124)). Suppose 0*p + 0 + 2/7*p**4 + n*p**3 + 2/7*p**2 = 0. Calculate p.
-1, 0
Let a = 222 - 220. Suppose -a*z + 139 - 135 = 0. Find u such that 72/7*u + 16/7 + 60/7*u**2 + z*u**3 = 0.
-2, -2/7
Let n(b) be the first derivative of 5*b**4/4 + 5*b**3/3 - 110*b**2 - 420*b - 1202. Factor n(c).
5*(c - 7)*(c + 2)*(c + 6)
Let u(p) = -3*p. Let n(t) = -t**2 - 1745*t - 743044. Let z(m) = n(m) - 7*u(m). Factor z(r).
-(r + 862)**2
Let i(a) = -5*a**5 - 29*a**4 - 5*a**3 - 3*a - 3. Let m(g) = -g**4 - g - 1. Let u = 105 - 99. Let s(c) = u*m(c) - 2*i(c). Factor s(q).
2*q**3*(q + 5)*(5*q + 1)
Suppose 0 + 15/4*y + 3/8*y**4 - 9/4*y**3 + 9/8*y**2 = 0. What is y?
-1, 0, 2, 5
Let d(q) be the first derivative of -q**6/15 + 4*q**5/5 + 27*q**4/10 - 88*q**3/3 - 476*q**2/5 - 96*q - 8089. What is m in d(m) = 0?
-4, -1, 6, 10
Let c be (4 - (-7)/(-4)) + (-728)/(-416). Let n be (-18)/(-4) + (-3)/2. Factor 1/2*m**4 - c - 5/2*m**n + 2*m + 3*m**2.
(m - 2)**3*(m + 1)/2
Suppose 623*n = 624*n - 5*x - 30, -18 = 5*n + 3*x. Let p(q) be the third derivative of 1/12*q**5 - 10*q**2 + 5/6*q**4 + 10/3*q**3 + n + 0*q. Factor p(z).
5*(z + 2)**2
Suppose -8 = 5*b - 83. Let s be 5/b + (-17)/(-3). Factor -21*p**3 - 2*p + 0*p + s*p**3 + 4*p**2 + 13*p**3.
-2*p*(p - 1)**2
Let n(q) be the first derivative of -52/3*q**3 - 67 - 16*q - 4/5*q**5 - 6*q**4 - 24*q**2. Factor n(h).
-4*(h + 1)**2*(h + 2)**2
Let d(j) be the first derivative of 12*j**5/25 - 89*j**4/10 - 2*j**3 + 957. Solve d(n) = 0.
-1/6, 0, 15
Let h be 4 + 30 - (3/(-1) + 3). Suppose -12*d**5 - 85*d**3 - 51*d**2 - h*d**2 - 6*d**5 + 13*d**5 - 35*d**4 - 30*d = 0. Calculate d.
-3, -2, -1, 0
Factor y**2 + 53501 + 0*y**2 + 498*y - 1395 + 9895.
(y + 249)**2
Let x = -1200469/5 - -240097. Factor 18/5 + x*g - 2/5*g**2.
-2*(g - 9)*(g + 1)/5
Let i(m) = 176*m**4 - 24*m + 166*m**4 + 4*m**3 - 338*m**4 + 28*m**2. Let y(z) = -z**3 + z**2 - 2*z. Let r(t) = i(t) - 12*y(t). Factor r(a).
4*a**2*(a + 2)**2
Suppose -4*u - 2 = -10. Let d be (-20)/(-6) - (-1)/(-3). Factor 22*b**3 - 12*b**3 + u*b**2 - 11*b**d.
-b**2*(b - 2)
Let b be (0 - 2) + 17/1. Let d(v) = -59*v + 138. Let j be d(2). Find f such that -12*f**4 + 9*f**3 - 8*f**4 + j*f**2 - b*f**5 + 5*f + f**3 = 0.
-1, -1/3, 0, 1
Suppose 2*g + 2*l = 180, 0 = 4*g - 3*g + 2*l - 90. Suppose x = 92 - g. Factor 2/5*m**3 + 0*m**x + 0*m - 2/5*m**4 + 0.
-2*m**3*(m - 1)/5
Let y(i) = i + 12. Let p be y(-9). Let n(r) = 3*r**2 - 8*r. Let w be n(p). Factor -l**3 + w - 7*l**2 + 2 + 10*l - 9*l + 2.
-(l - 1)*(l + 1)*(l + 7)
Let q(u) = 11*u**2 - 27*u - 56. Let k = 618 - 612. Let v(p) = 12*p**2 - 29*p - 57. Let g(y) = k*v(y) - 7*q(y). Factor g(o).
-5*(o - 5)*(o + 2)
Let b be (11 + -13)/2 + (-168)/(-18) + -5. Factor 28/9 + b*f + 2/9*f**2.
2*(f + 1)*(f + 14)/9
Factor -60 - 1/4*h**3 - 33/4*h**2 - 68*h.
-(h + 1)*(h + 12)*(h + 20)/4
Suppose 11 = 2*k - 5*j, 8 = 2*k + 1040*j - 1042*j. Let y(z) be the first derivative of -7/9*z**k + 11/6*z**2 + 2*z - 26. Let y(g) = 0. What is g?
-3/7, 2
Factor -54/5*v - 24/5*v**2 - 2/5*v**3 + 0.
-2*v*(v + 3)*(v + 9)/5
Suppose -5*a + 4*y + 26 = 0, 325*y = -11*a + 324*y + 18. Factor 1/2*c - 1/4*c**3 - 1/4*c**a + 0.
-c*(c - 1)*(c + 2)/4
Let m(r) = 3*r**2 - 9*r - 2. Let v be 6/(-1 + 2 + 2). Let h(p) = -27 - 2*p**v + 17 + 10*p + 11 - 2*p**2. Let i(x) = 4*h(x) + 5*m(x). Factor i(c).
-(c + 2)*(c + 3)
Factor 2838*q + 1474813 + 925*q**2 - 1830*q**2 + 906*q**2 + 538748.
(q + 1419)**2
Let f(g) be the third derivative of -g**9/120960 + g**7/10080 + g**5/30 + 7*g**4/12 - 80*g**2. Let h(z) be the third derivative of f(z). Factor h(k).
-k*(k - 1)*(k + 1)/2
Let x = -22224 - -22228. Let b(s) be the second derivative of 2*s + 1/48*s**x + 0*s**5 + 0*s**2 - 19 + 0*s**3 - 1/120*s**6. Find p such that b(p) = 0.
-1, 0, 1
Let r(b) be the third derivative of -b**5/30 - 83*b**4/6 - 2*b**2 - 515*b. Factor r(z).
-2*z*(z + 166)
Factor 184 + 551/3*r - 1/3*r**2.
-(r - 552)*(r + 1)/3
Let s(k) be the first derivative of 3*k**7/1120 + k**6/96 + k**5/80 + 125*k**3/3 + 155. Let g(x) be the third derivative of s(x). Factor g(r).
3*r*(r + 1)*(3*r + 2)/4
Let r = -432 + 750. Suppose -r = -9*m + 69. Factor -2*u**2 - 13*u**2 + 5*u**3 + 63 - m.
5*(u - 2)**2*(u + 1)
Let u(o) be the second derivative of 0*o**2 + 25/6*o**3 + 15/4*o**4 + 6 + 3/4*o**5 - 13*o - 1/6*o**6. Suppose u(a) = 0. Calculate a.
-1, 0, 5
Let s(o) be the third derivative of -3*o**8/112 - 19*o**7/105 - 11*o**6/30 - 2*o**5/15 - 1328*o**2. Let s(l) = 0. What is l?
-2, -2/9, 0
Let h(r) = -20*r**3 - 428*r**2 + 424*r + 32. Let t(o) = 13*o**3 + 285*o**2 - 283*o - 20. Let f(v) = -5*h(v) - 8*t(v). Factor f(d).
-4*d*(d - 1)*(d + 36)
Let g(f) be the first derivative of -4/13*f + 40/13*f**3 - 27/13*f**2 + 230 - 31/26*f**4. Factor g(t).
-2*(t - 1)**2*(31*t + 2)/13
Let t(j) be the first derivative of 5*j**4/12 - 5*j**3/6 + 145*j - 116. Let f(o) be the first derivative of t(o). Suppose f(n) = 0. Calculate n.
0, 1
Factor 58*q**3 + 17*q**4 - 11*q**4 - 7*q**4 - 194*q**2 + 41*q**3.
-q**2*(q - 97)*(q - 2)
Let v = 46819 - 46794. Let l(i) be the second derivative of -v*i + 0 - 3/2*i**2 + 1/8*i**4 - 1/4*i**3. Factor l(k).
3*(k - 2)*(k + 1)/2
Let a(h) be the third derivative of -h**8/1344 - 29*h**7/70 - 6193*h**6/96 - 60029*h**5/120 - 1548*h**4 - 7396*h**3/3 + 1162*h**2. Let a(j) = 0. Calculate j.
-172, -2, -1
Suppose 8 = 4*s + 2*d, 19*d - 21*d = 4. Let p(i) be the first derivative of 26 - 1/3*i**s - 3/2*i**2 + 0*i. Factor p(u).
-u*(u + 3)
Let q(h) = -9*h**3 - 7*h**2 + 62*h - 2. Let v(l) = 20*l**3 + 15*l**2 - 125*l + 5. Let w(f) = -5*q(f) - 2*v(f). Find a, given that w(a) = 0.
-4, 0, 3
What is n in 2/9*n**3 + 7688/3 - 242/9*n**2 + 6944/9*n = 0?
-3, 62
Let t(i) be the third derivative of i**5/15 - 2135*i**4/3 + 9116450*i**3/3 - 4*i**2 - 257*i. Determine j so that t(j) = 0.
2135
Let t be ((65/78)/((-1)/2))/(-113 + 103). Determine b, given that 3 - 2/3*b**3 + t*b**5 + 2/3*b**4 + 1/2*b - 11/3*b**2 = 0.
-3, -1, 1, 2
Let k(d) be the third derivative of d**8/1440 + d**7/35 + d**6/18 - 37*d**5/15 - 76*d**2. Let f(a) be the third derivative of k(a). Factor f(c).
2*(c + 10)*(7*c + 2)
Suppose -29*a - 20 = 32 - 110. Let n(k) be the second derivative of 0 - 