r 275/3*n**2 + 7/3*n**3 + 344/3*n + 76/3.
(n + 1)*(n + 38)*(7*n + 2)/3
What is h in 1/12*h**4 - 8281/12 - 91/6*h + 690*h**2 + 91/6*h**3 = 0?
-91, -1, 1
Suppose -174 + 181 = 5*c - 3*a, 0 = 2*c - a - 3. Factor 0 - 28/5*z + 4/5*z**c.
4*z*(z - 7)/5
Let s be ((-2898)/(-3))/(-1 - -3). Let i = 487 - s. Factor 2/5*x**3 + 0*x + 0 - 6/5*x**i + 4/5*x**2.
-2*x**2*(x - 1)*(3*x + 2)/5
Let p(y) be the second derivative of 17*y - 3 + 5/24*y**4 - 1/12*y**3 - 5/4*y**2 + 1/40*y**5. Let p(r) = 0. Calculate r.
-5, -1, 1
Factor -24332*y - 229*y**2 + 640*y**2 + 217*y**2 - 3*y**3 + 0*y**3 - y**3 - 24964.
-4*(y - 79)**2*(y + 1)
Let k(i) be the first derivative of -1/3*i**2 + 1/24*i**4 + 2*i - 168 - 1/6*i**3. Factor k(h).
(h - 3)*(h - 2)*(h + 2)/6
Let p be 3 + 0 + -3 + (-4 - -6). Let y be ((-3)/7)/((-15)/105). Find c such that -c**y - 261*c + 4*c**2 - 4*c**2 - p + 264*c = 0.
-2, 1
Let y be (-2)/(-7) + (-14820)/(-21) + 14. Let l be (-108)/20*y/(-32). What is u in 3/2*u**3 + l + 297/2*u + 57/2*u**2 = 0?
-9, -1
Find n such that 5*n**3 - 5*n + 2/3*n**2 - 2/3 = 0.
-1, -2/15, 1
Let x = -203853/2 + 101928. Solve 4/3 - x*a + 1/6*a**2 = 0 for a.
1, 8
Let i(g) = g + 6. Let s be i(-2). Suppose s*f + 4 = 2*v, 4*v - 5 - 27 = -4*f. Factor -p + 2*p**4 + p**5 + 2*p**2 - 3*p**2 - v*p**2 + 5*p**2.
p*(p - 1)*(p + 1)**3
Factor 1/3*d**5 + 0 + 20*d**2 + 28/3*d + 43/3*d**3 + 4*d**4.
d*(d + 1)*(d + 2)**2*(d + 7)/3
Let u(w) be the third derivative of 0*w + 1/4*w**4 + 4 + w**2 + 37/360*w**5 + 1/9*w**3 + 121/1260*w**7 - 11/40*w**6. Factor u(p).
(p - 1)**2*(11*p + 2)**2/6
Let z(n) = 5*n**2 - 1114*n - 1099. Let v(w) = 6*w**2 - 1114*w - 1095. Let l(r) = 4*v(r) - 5*z(r). Factor l(g).
-(g - 1115)*(g + 1)
Let h(f) be the second derivative of -f**4/21 + 40*f**3/21 + 64*f**2 - 1858*f - 1. Factor h(a).
-4*(a - 28)*(a + 8)/7
Let g(f) = f**2 + 619*f - 14091. Let a be g(23). Solve 3/4*x**2 + a - 45*x = 0 for x.
30
Factor -1258076*b**3 + 1078830667202/7 - 6854/7*b**4 - 1073795284858/7*b - 2/7*b**5 - 5026568956/7*b**2.
-2*(b - 1)*(b + 857)**4/7
Let u(w) = 3*w**2 - 660*w - 40498. Let p be u(270). Factor -3/8*a**p - 3675/8 + 105/4*a.
-3*(a - 35)**2/8
Let g(b) be the first derivative of 19*b + 1/5*b**5 - 10 + 0*b**3 + 0*b**4 - 2/15*b**6 + 0*b**2. Let i(w) be the first derivative of g(w). Factor i(o).
-4*o**3*(o - 1)
Let u(r) be the first derivative of 3*r**5/5 - 11*r**4/6 + 4*r**3/3 + r**2 + 88*r + 40. Let y(g) be the first derivative of u(g). Let y(p) = 0. What is p?
-1/6, 1
Suppose 0 = -265*a + 278*a - 273. Let x be (a/(-9))/(-1) + 62/(-186). Find s such that -3/4*s + 3/4*s**x - 3/2 = 0.
-1, 2
Let k(p) = 157*p**2 - 8*p - 2. Let c be 12/4*(-10)/15 + 0. Let v be k(c). Factor -v + 6*d**2 - 2*d**4 + 642 - d**5 + 5*d**3.
-d**2*(d - 2)*(d + 1)*(d + 3)
Let k(x) = -7*x + 49. Let n be k(4). Suppose n*c - 13*c = 144. Let 0 - 6*i**5 + c*i**3 - 3/2*i**4 - 3*i - 15/2*i**2 = 0. What is i?
-2, -1/4, 0, 1
Let j(b) be the second derivative of -7/3*b**4 - 51*b + 24/5*b**5 - 1 - 4*b**3 + 0*b**2. Factor j(l).
4*l*(3*l - 2)*(8*l + 3)
Let z(w) = -w**2 + 12*w - 35. Let l be z(7). Let a be 351/63 - (-15)/(l - 3). Factor -6/7*c**3 - a*c**4 + 0 + 4/7*c**2 + 0*c.
-2*c**2*(c + 2)*(2*c - 1)/7
Let b(y) = 85*y**3 - 144*y**2 - 1417*y + 1566. Let f(r) = -482*r**3 + 865*r**2 + 8501*r - 9394. Let g(h) = 17*b(h) + 3*f(h). Determine k, given that g(k) = 0.
-10, 1, 156
Let 5/8*a**3 + 0*a + 0 + 3/4*a**2 - 1/4*a**4 - 1/8*a**5 = 0. What is a?
-3, -1, 0, 2
Suppose -4*o = -2*z - 5*o + 6, -z + 3 = 4*o. Factor 233 - t**5 - 122 + 18*t**2 - 4*t**4 - 111 + z*t**3.
-t**2*(t - 2)*(t + 3)**2
Let 1/9*r**3 + 2*r**2 + 17/9*r + 0 = 0. What is r?
-17, -1, 0
Let v = -1264047/17 + 74357. Factor 2/17*o**3 + 32/17 + v*o**2 + 52/17*o.
2*(o + 1)*(o + 2)*(o + 8)/17
Let i(y) = -182*y**2 + 193*y - 62. Let t(w) = 365*w**2 - 385*w + 130. Let x(c) = 5*i(c) + 2*t(c). Determine v, given that x(v) = 0.
5/12, 2/3
Suppose -86*q = -82*q + 3548. Let y = -885 - q. Factor -5/2*u + 1/2*u**3 - 3/2 - 1/2*u**y.
(u - 3)*(u + 1)**2/2
Let h be 20/(-15) + (-21)/(-9). Let m be 0/(h - 7) + 1 + -1. Suppose -5*j**2 + m*j**2 + 85*j - 35*j = 0. What is j?
0, 10
Let i(t) be the first derivative of -1/16*t**2 - 1/96*t**4 - 1/24*t**3 - 43*t - 45. Let c(o) be the first derivative of i(o). Factor c(x).
-(x + 1)**2/8
Let 4/9 + 2/9*l**3 + 182/9*l**4 - 2/9*l - 62/3*l**2 = 0. What is l?
-1, -2/13, 1/7, 1
Let k be 4/2*(3/8)/3. Let r(i) = 15*i - 1198. Let o be r(80). Factor 0 - 3/4*p**o - 1/2*p**3 - k*p.
-p*(p + 1)*(2*p + 1)/4
Let w = -3321366/5 + 664275. Find j, given that 0*j**4 + 0 + 18/5*j**3 + w*j - 3/5*j**5 + 24/5*j**2 = 0.
-1, 0, 3
Let i be -5*(3 + (-515)/(-125)). Let x = i - -2354/65. Determine f, given that 6/13*f - x + 2/13*f**2 = 0.
-4, 1
Find w, given that -1100*w**3 - 787*w + 120*w - 200 + 1392*w**2 + 92*w**3 + 447*w = 0.
-2/7, 5/6
Let c(o) be the second derivative of -1/4*o**4 + 69*o + 0 + 16*o**3 - 384*o**2. Factor c(v).
-3*(v - 16)**2
Let p be 12/(-2) - (-11)/1. Factor p*i**3 + 5144*i**2 + 35*i - 5189*i**2 + 5*i.
5*i*(i - 8)*(i - 1)
Let r = -1/10032 + 71339/3344. Let y(l) be the first derivative of 76/15*l**5 + 2/3*l**6 - r*l + 32/3*l**3 - 32/3*l**2 + 40/3*l**4 - 21. What is s in y(s) = 0?
-2, -1, 2/3
Let p(c) be the third derivative of 1/320*c**6 + 0 + 3/32*c**5 + 19/32*c**4 + 3/2*c**3 - 4*c - 5*c**2. Factor p(i).
3*(i + 1)*(i + 2)*(i + 12)/8
Let b be (4/8)/(-4 + 12). Let a(c) be the first derivative of 1/12*c**3 - 5 + 3/4*c + b*c**4 - 5/8*c**2. What is j in a(j) = 0?
-3, 1
Let x be (-8 - (-38 - -20)) + (-3 - (3 + -2)). Factor x + 2/7*i**2 - 20/7*i.
2*(i - 7)*(i - 3)/7
Let x be (-1869)/(-3465) + 3/(-5) - (-2071)/3135. Factor -21/5*o - 54/5 + x*o**2.
3*(o - 9)*(o + 2)/5
Let b(j) be the third derivative of j**6/840 - 103*j**5/420 + 901*j**4/56 - 867*j**3/14 + 2033*j**2. Let b(f) = 0. Calculate f.
1, 51
Let a(f) be the first derivative of 1/12*f**5 - 16*f**2 + 5/4*f**4 + 25/6*f**3 + 0*f - 39. Let n(c) be the second derivative of a(c). Solve n(r) = 0 for r.
-5, -1
Let z be (-194)/(-5626) - (-7414)/290. Let 188/5*d - 6/5*d**2 + z = 0. Calculate d.
-2/3, 32
Let g(t) be the second derivative of -t**7/1260 + t**6/45 - 4*t**5/15 + t**4/6 + 25*t**2/2 + 11*t + 2. Let w(x) be the third derivative of g(x). Factor w(i).
-2*(i - 4)**2
Let u = -7610 + 7610. Find b, given that 2/7*b**2 + u - 2/7*b**4 - 4/7*b**3 + 4/7*b = 0.
-2, -1, 0, 1
Let r(j) = -13*j**3 + 18*j**2 - 24*j - 5. Let p(d) = -24*d**3 + 36*d**2 - 48*d - 9. Let n = 289 - 284. Let k(u) = n*p(u) - 9*r(u). Factor k(m).
-3*m*(m - 4)*(m - 2)
Let n(t) be the second derivative of -121*t**4/30 - 244*t**3/15 - 4*t**2/5 - 756*t. Suppose n(j) = 0. What is j?
-2, -2/121
What is j in -j**2 - 6/7*j**3 + 6/7*j - 1/7*j**4 + 8/7 = 0?
-4, -2, -1, 1
Let q(u) be the third derivative of 0 + 3/28*u**4 + 11*u + 13/105*u**5 + 0*u**3 - 2*u**2 - 1/140*u**6. Factor q(n).
-2*n*(n - 9)*(3*n + 1)/7
Suppose -737 = -9*b - 215. Let u = -54 + b. Factor -212*n - 2*n**4 + 212*n + u*n**4 - 2*n**2.
2*n**2*(n - 1)*(n + 1)
Suppose 3*h - 39 = -4*k, -2*k + 4*h + 4 + 10 = 0. Determine x so that 11*x**2 + x**3 + 28*x - 5*x + 17*x - k*x + 8*x + 45 = 0.
-5, -3
Let x(d) = -8*d**3 + 130*d**2 - 3*d + 3. Let h = 170 + -135. Let a(i) = 95*i**3 - 1560*i**2 + 35*i - 35. Let o(u) = h*x(u) + 3*a(u). Factor o(w).
5*w**2*(w - 26)
Let b(m) be the third derivative of m**5/60 - 143*m**4/24 - 145*m**3/3 - 1131*m**2. Suppose b(k) = 0. What is k?
-2, 145
Factor -2*k**2 - 29984768 + 7491*k - 4859*k - 2590*k + 7916*k + 7530*k.
-2*(k - 3872)**2
Suppose 1/3*g**5 - 76/3*g**2 + 0 + 10/3*g**4 - 7/3*g**3 - 20*g = 0. What is g?
-10, -2, -1, 0, 3
Let h(u) be the third derivative of 2*u**7/735 - 61*u**6/280 + 69*u**5/14 + 529*u**4/168 - 4737*u**2. Factor h(d).
d*(d - 23)**2*(4*d + 1)/7
Factor 4*i + 11 - 30579*i**3 + 30576*i**3 + 5*i**2 - 6*i - 11.
-i*(i - 1)*(3*i - 2)
Factor 721 + 1515*q**2 - 1541*q**2 - 177 + 1934*q - 1899*q + 3497*q.
-2*(q - 136)*(13*q + 2)
Let i = -12990 + 12990. Let l(o) be the first derivative of 5/12*o**4 + 5/9*o**3 - 23 - 5/3*o**2 + i*o. Suppose l(p) = 0. Calculate p.
-2, 0, 1
Let m(y) = -1015*y - 61912. Let j be m(-61). Let -h**2 - 7/2*h + 1/2*h**j - 2 = 0. What is h?
-1, 4
Let w(c) be the third derivative of 2*c**5/15 + 5*c**4/6 - 4*c**2. Let u(i) = -9*i**2 - 21*i. Let f = 210 + -206. Let t