 81
Factor -3362/15*t**2 + 14432/15*t - 15488/15.
-2*(41*t - 88)**2/15
Suppose 69*n - 28 = 64*n + 2*k, 6*k + 54 = 0. Let -2/5*p**n + 4 - 6/5*p = 0. What is p?
-5, 2
Let f(d) be the first derivative of 242 + 56*d - 7/2*d**4 + 130/3*d**3 - 116*d**2. Let f(c) = 0. What is c?
2/7, 2, 7
Suppose 139*x - 233 - 154 - 30 = 0. Let 168/5*k + 122/5*k**2 + 72/5 + 2/5*k**4 + 28/5*k**x = 0. Calculate k.
-6, -1
Suppose -6 = -0*g + 3*g, -2*g + 227 = 3*c. Factor -2*r**2 + 33 + 32 - 14*r - c.
-2*(r + 1)*(r + 6)
Determine r, given that -366 + 183*r**3 - 223*r**2 + 214*r**2 - 734*r + 3*r**4 + 179*r = 0.
-61, -1, 2
Let y(u) be the second derivative of -u**5/5 - 30*u**4 + 816*u**3 + 513*u + 1. Solve y(b) = 0 for b.
-102, 0, 12
Let z(c) = 15*c**2 - 6*c**2 - 3*c**2 - 8*c**2 - 4 - 10*c. Let h be z(-4). Factor -4 + h - 4*r**2 - 4*r**4 + 0*r**3 - 8*r**3.
-4*r**2*(r + 1)**2
Let z(r) be the third derivative of -5*r**6/24 + 49*r**5/60 - 23*r**4/24 - r**3/6 + 202*r**2. What is u in z(u) = 0?
-1/25, 1
Let w be (-102)/(-187) + 531/(-1155). Let c(t) be the first derivative of w*t**5 + 0*t**3 + 8 + 1/14*t**6 + 0*t**4 + 0*t + 0*t**2. Factor c(a).
3*a**4*(a + 1)/7
Let x be (-4)/((20 + -17)*-8). Factor 0 + 0*o - x*o**2.
-o**2/6
Let o be 9*(1254/198 - (-140)/(-24)). Let -11/2*x**2 - 13/4*x - 3/4 - 7/4*x**4 - 1/4*x**5 - o*x**3 = 0. What is x?
-3, -1
Let t(r) be the second derivative of -5*r**4/12 + 35*r**3/3 - 225*r**2/2 + 5*r - 153. Determine o so that t(o) = 0.
5, 9
Solve 8510886*i - 2*i**3 + 1306511348 + 704598821 + 6143*i**2 + 4*i**3 + 1003*i**2 + 1367711573 = 0 for i.
-1191
Let n(u) = 2*u**2 + 7*u + 9. Let x be n(-4). Suppose x + 17 = 15*r. Let 24 - 33*z + 15*z**3 - 6*z**r + 9*z - 36*z = 0. Calculate z.
-2, 2/5, 2
Suppose -4*u - 1 = -9, y + 3*u - 9 = 0. Suppose l - 2*s - 2*s + y = 0, -21 = -l - 4*s. Determine w, given that w**4 + l*w**3 + 9*w**2 + w**3 + 16*w**2 = 0.
-5, 0
What is c in -30 + 1/3*c**2 + 43/3*c = 0?
-45, 2
Let w(d) be the second derivative of -d**6/70 - 87*d**5/140 + 31*d**4/28 + 29*d**3/14 - 45*d**2/7 - 27*d + 3. What is r in w(r) = 0?
-30, -1, 1
Let h(t) be the first derivative of 0*t - 1/20*t**5 + 1/4*t**4 + 1/4*t**2 - 71 - 5/12*t**3. Let h(a) = 0. Calculate a.
0, 1, 2
Factor 68*t**2 - 26128*t**3 - 16*t + 52260*t**3 - 26136*t**3 - 768.
-4*(t - 16)*(t - 4)*(t + 3)
Factor -152/13 + 2/13*b**2 - 72/13*b.
2*(b - 38)*(b + 2)/13
Let m(h) be the second derivative of 11 + 0*h**3 + 0*h**2 + 1/42*h**4 + 2*h. Factor m(t).
2*t**2/7
Let h be 0/(14/(168/132)). Let u(n) be the second derivative of 19/6*n**3 + h - 1/3*n**4 + 5/2*n**2 - 37*n. Factor u(k).
-(k - 5)*(4*k + 1)
Let r be ((-560)/(-1400))/((-32)/(-50)). Let f(n) be the first derivative of 33 - r*n**2 + 0*n - 1/12*n**3. Let f(j) = 0. What is j?
-5, 0
Let v(k) = -9*k**3 - 14*k**2 - 12*k. Let f(p) = -7*p**3 - 16*p**2 - 9*p. Let n(o) = -4*f(o) + 3*v(o). Factor n(q).
q**2*(q + 22)
Let c(j) = 10*j**2 - 9*j + 2. Let u be c(1). Let k(p) be the second derivative of 175/3*p**u + 0 + 245/2*p**2 + 3*p + 125/12*p**4. Determine t so that k(t) = 0.
-7/5
Suppose 4*x - 11 + 17 = 6. Let z(v) be the third derivative of 1/3*v**3 - 1/30*v**5 + 1/12*v**4 - 1/60*v**6 + x + 0*v + 22*v**2. Factor z(f).
-2*(f - 1)*(f + 1)**2
Let r(v) = v**4 + 41*v**3 + 120*v**2 - 2100*v + 2. Let a(p) = 12*p**4 + 411*p**3 + 1200*p**2 - 21000*p + 21. Let q(d) = 2*a(d) - 21*r(d). Factor q(f).
3*f*(f - 10)**2*(f + 7)
Let o = 6 + -3. Determine a, given that -1167*a**o - 9*a**2 - 4 + 5*a + 28*a + 1158*a**3 - 14 + 3*a**4 = 0.
-2, 1, 3
Let z(h) be the first derivative of 729/7*h - 165 + 405/14*h**2 + 3/28*h**4 + 3*h**3. Factor z(a).
3*(a + 3)*(a + 9)**2/7
Let u(n) = 2*n**3 - 18*n**2 + 21*n + 41. Let a be u(7). Let k be a - (-6 + -5 + 2). Factor -k - 8/3*z + z**2.
(z - 3)*(3*z + 1)/3
Let c = 318 - 2529/8. Let h = c - 43/40. Let -23/5*d**2 - 14/5*d**3 - h - 16/5*d - 3/5*d**4 = 0. What is d?
-2, -1, -2/3
Let d(y) be the second derivative of -y**6/75 - 33*y**5/50 - 27*y**4/2 - 729*y**3/5 - 4374*y**2/5 + 4803*y. Solve d(r) = 0.
-9, -6
Let a = 839/10176 - -3/3392. Let b(o) be the second derivative of -a*o**5 - 26*o + 0 + 5/12*o**4 - 5/2*o**2 + 5/18*o**3. Determine v, given that b(v) = 0.
-1, 1, 3
Let i(g) be the second derivative of -g**6/60 + g**5/4 - 2*g**4/3 + 1392*g. Factor i(p).
-p**2*(p - 8)*(p - 2)/2
Let s(q) be the third derivative of -q**8/40320 + q**6/90 - 67*q**5/20 - 316*q**2. Let g(u) be the third derivative of s(u). Factor g(o).
-(o - 4)*(o + 4)/2
Let h(i) = i**2 + 5*i + 4. Let t be h(-4). Suppose 5*l + 0 = 2*g + 3, 5*g + 5*l - 10 = t. Determine v, given that g + 8*v - 5*v**2 + 96*v**3 - 95*v**3 - 5 = 0.
1, 2
Factor 76860 - 41037 - 39695 - 76*f**2 + 946*f + 2*f**3.
2*(f - 16)*(f - 11)**2
Solve 17880*d**2 + 6*d**3 + 164*d**3 + 6788799366 + 1679550074 - 175*d**3 - 21312960*d = 0.
1192
Suppose 63/2*v**3 + 128*v**2 + 2*v**4 - 40 + 126*v = 0. Calculate v.
-10, -4, -2, 1/4
Let z(v) be the third derivative of 1/180*v**5 + 7/72*v**4 + 2*v - 11*v**2 + 0 + 1/3*v**3. Factor z(r).
(r + 1)*(r + 6)/3
Let w(m) be the first derivative of m**4/12 + 34*m**3/3 + 578*m**2 - 118*m - 22. Let y(g) be the first derivative of w(g). Factor y(i).
(i + 34)**2
Suppose -3*n + 31 = -44. Suppose 0 = f - 5*v - 9 + n, -28 = -3*f - 4*v. Factor 17*q**4 + 1 + 12*q**2 + 28*q**3 + 3*q**4 - 1 + f*q**5.
4*q**2*(q + 1)**2*(q + 3)
Let n be 504/(-60)*(-7)/(-28)*52/(-182). What is p in -9/5*p**3 + n*p**2 + 0 + 6/5*p - 3/5*p**4 + 3/5*p**5 = 0?
-1, 0, 1, 2
Suppose k + q + 19958 = -0*q, 4*q - 19948 = k. Let i be k/(-4284) + (-5)/(-105). Factor i*g - 2/17*g**4 + 64/17 + 24/17*g**2 - 4/17*g**3.
-2*(g - 4)*(g + 2)**3/17
Let q(b) be the third derivative of 17/30*b**5 + 1/56*b**8 - 5*b**2 + 19/105*b**7 + 0 - 4*b**3 + 5*b + 37/60*b**6 - 4/3*b**4. Solve q(f) = 0.
-3, -2, -1, 2/3
Let g(y) be the first derivative of 2*y**6/3 - 104*y**5/5 + 72*y**4 - 280*y**3/3 + 46*y**2 + 2162. Factor g(k).
4*k*(k - 23)*(k - 1)**3
Suppose -116 = -2*t - 4*z - 104, 3*z + 4 = 5*t. Let r(m) be the first derivative of -1 - 5/4*m**4 - 40/3*m**3 + 0*m - 40*m**t. Solve r(n) = 0 for n.
-4, 0
Suppose 1944*n - 1672*n = 0. Let q(k) be the first derivative of -1/12*k**3 + 11 + 0*k**2 + n*k. Solve q(h) = 0.
0
Let j(d) = d**3 + 2*d**2 - 7*d + 4. Let h be j(-4). Suppose z = -2*z - 3*x, h = 4*x + 8. What is a in -2/3*a**z - 4*a - 16/3 = 0?
-4, -2
Let f(s) be the second derivative of 0 + 1/15*s**5 + 1/3*s**4 + 15*s + 5*s**2 + 0*s**3. Let w(g) be the first derivative of f(g). Determine p so that w(p) = 0.
-2, 0
Let t(d) be the third derivative of -d**5/21 + 41*d**4/84 - 4*d**3/21 - 361*d**2 + 2*d. Suppose t(q) = 0. Calculate q.
1/10, 4
Let m(v) = -3*v**2 - 212*v - 140. Let k be m(-70). Factor -2/7*c**2 + k - 2*c.
-2*c*(c + 7)/7
Let j(h) = -30806*h + 92436. Let d be j(3). Find w, given that -d*w + 162 + 1/2*w**2 = 0.
18
Let x(o) = 1408*o + 43650. Let j be x(-31). Find z such that 0 + 7/3*z + 1/6*z**j = 0.
-14, 0
Let l be (25/(-100))/(2/(-24)). Suppose -t + 8 = l*t. Factor -4 + 2*n**2 - 2*n**3 - n**3 - 8*n - 7*n**2 + t*n**3.
-(n + 1)*(n + 2)**2
Let g(w) = -w + 1. Let a(d) = -2*d**2 + 6*d - 36. Let f be (-9)/(-7) - (-8)/(-28). Let x be 3 + f/3*-3. Let i(o) = x*a(o) + 36*g(o). Factor i(h).
-4*(h + 3)**2
Let q = -22480 + 292244/13. Solve 10/13*n**3 + 16/13 - 40/13*n - q*n**2 = 0.
-2, 2/5, 2
Let x(z) be the second derivative of z**5/10 + 2*z**4/3 - 32*z**3/3 - 46*z - 3. Factor x(m).
2*m*(m - 4)*(m + 8)
Let v be -10 + (-297 - (8 - 3)). Let c = 314 + v. Determine r, given that -5/2*r**c + 1/2 - 2*r = 0.
-1, 1/5
Let y be ((-6)/4)/(8490/(-2264)). Solve -y*j**2 - 18/5 - 4*j = 0.
-9, -1
Let j(g) be the third derivative of 1/24*g**6 + 1/12*g**5 - 10*g**3 - 5/3*g**4 - 3*g + 0 + 9*g**2. Factor j(r).
5*(r - 3)*(r + 2)**2
Let y = -644 - -690. Find o, given that -20*o + 0*o**2 + 21 + 84 - y*o + 5*o**2 + 16*o = 0.
3, 7
Let z = -99343 - -99346. Let -10/7*d + 6/7*d**2 + 4/7 - 2/7*d**4 + 2/7*d**z = 0. Calculate d.
-2, 1
Let i(q) = 13*q**3 - 55*q**2 - 59*q + 136. Let f(y) = -2*y**3 - y**2 - 2. Let d(k) = -35*f(k) - 5*i(k). Factor d(t).
5*(t - 1)*(t + 2)*(t + 61)
Let k(b) be the first derivative of b**6/18 + 2*b**5/5 - 2*b**4/3 - 2*b**3/3 + 7*b**2/6 - 386. Factor k(s).
s*(s - 1)**2*(s + 1)*(s + 7)/3
Let w = -12281 - -12326. Let b(r) be the third derivative of 0*r - 1/30