*n**3.
n**2*(n + 7)/4
Suppose d + 276 = 3*d - 2*f, -4*d + 588 = 5*f. Suppose -b**4 - 130*b**3 + 5*b**4 - 40*b**2 + d*b**3 = 0. What is b?
-5, 0, 2
Let g = -60 - -66. Let u(n) = n**3 - 3*n**2 - 19*n + 9. Let z be u(g). Find h, given that -z*h**3 + 12*h**2 - h**3 - 13*h + 5*h = 0.
0, 1, 2
Find y, given that -55/4*y - 111/8 + 1/8*y**2 = 0.
-1, 111
Let u(h) be the third derivative of -1/24*h**6 + 0*h - 75/2*h**3 - 52*h**2 - 11/12*h**5 - 65/8*h**4 + 0. What is n in u(n) = 0?
-5, -3
Let m(g) be the second derivative of -3*g**4/2 - 22*g**3/3 + 56*g**2 - g + 5379. Determine a, given that m(a) = 0.
-4, 14/9
Solve 111/4*g**5 - 9/4 + 315/8*g**4 - 297/8*g**2 + 249/8*g - 471/8*g**3 = 0 for g.
-2, -1, 3/37, 1/2, 1
Let i be (6/(-56))/(3791/(-10149)). Let m = -1/892 + i. Factor 4/7*c**2 - 12/7 + m*c.
2*(c + 2)*(2*c - 3)/7
Let t(j) be the first derivative of 7/24*j**3 + 154 - 1/16*j**4 + 0*j + 1/8*j**2 - 7/40*j**5. What is z in t(z) = 0?
-1, -2/7, 0, 1
Let k be (-6)/(-165) - (-192)/(-11088). Let h(g) be the second derivative of 0*g**3 + k*g**6 + 1/10*g**5 + 0*g**2 - 2/21*g**4 + 10*g + 0. Factor h(i).
2*i**2*(i + 4)*(2*i - 1)/7
Let l(u) be the third derivative of u**7/210 + 7*u**6/30 + 13*u**5/4 - 7*u**4/6 - 98*u**3/3 - 2170*u**2 + 1. Suppose l(k) = 0. Calculate k.
-14, -1, 1
Let p(a) be the second derivative of a**4/3 + 1216*a**3/3 + 1214*a**2 - 3412*a. Solve p(o) = 0.
-607, -1
Suppose 67 = 8*s + 75. Let i be (165/(s - -12))/(2*2). Find y, given that 0 - i*y**2 + 3*y**3 - 3/4*y**4 + 3/2*y = 0.
0, 1, 2
Let k(h) be the second derivative of h**4/9 + 229*h**3/18 + 19*h**2/2 - 708*h. Find z, given that k(z) = 0.
-57, -1/4
Let p(o) be the second derivative of 8/3*o**3 - 9*o**2 + 1/6*o**4 + 2 - 33*o. Factor p(k).
2*(k - 1)*(k + 9)
Suppose -364/3*z + 2/9*z**2 + 2176/9 = 0. What is z?
2, 544
Suppose 659 - 412*m + 4*m**3 + 34536*m**2 - 34536*m**2 + 133 = 0. Calculate m.
-11, 2, 9
Let k(b) be the first derivative of -1/8*b**3 + 75/16*b**2 - 100 - 9*b. Factor k(y).
-3*(y - 24)*(y - 1)/8
Let i(o) be the second derivative of 122*o + 7/12*o**4 + 4*o**3 - 1 + 1/60*o**5 - 72*o**2. Factor i(q).
(q - 3)*(q + 12)**2/3
Factor 0 - 75*l - 207/4*l**3 - 3/4*l**5 + 21/2*l**4 + 105*l**2.
-3*l*(l - 5)**2*(l - 2)**2/4
Find o, given that 0 - 2/5*o**3 + 0*o + 572/5*o**2 = 0.
0, 286
Factor -49/8*z - 33/4 - 3/4*z**2 + 1/8*z**3.
(z - 11)*(z + 2)*(z + 3)/8
Let v(a) = 22*a + 180. Let s be v(-8). Let q = 13/3 + -11/3. Factor 0*o + 7/3*o**5 + o**3 + 4*o**s + 0 - q*o**2.
o**2*(o + 1)**2*(7*o - 2)/3
Let d = -144804 - -144807. Factor 2/7*b**d + 0*b**2 + 0 - 2/7*b.
2*b*(b - 1)*(b + 1)/7
Let k(p) be the second derivative of p**6/50 + 57*p**5/100 - 148*p**4/5 - 5522*p**3/5 + 17424*p**2/5 + 7*p - 67. Find w such that k(w) = 0.
-22, 1, 24
Suppose 0*b + 24 = 4*s + 2*b, 5*b = 2*s. Let r = 36141 + -180696/5. Determine v so that 2*v**4 - 8/5*v**2 - 3/5*v**s + r*v - 6/5*v**3 - 2/5 = 0.
-1, 1/3, 1, 2
What is u in -10*u**2 - 89*u**3 + 60*u**2 - 6*u**3 - 10*u**4 - 10*u**2 + 2*u**5 + 3*u**5 + 300*u = 0?
-3, -2, 0, 2, 5
Let k = -7922 + 237661/30. Let s(i) be the second derivative of -18*i + 2/15*i**3 + 0 + 1/5*i**2 + k*i**4. Solve s(f) = 0.
-1
Let c = -491 + 488. Let j be ((-5967)/630)/(-17) - c/10. Suppose 15/7*q - 3/7*q**3 - 3/7*q**4 + j + 9/7*q**2 = 0. What is q?
-1, 2
Let l be (-20140)/(-55) + 6/(-33). Factor 10 - l*t**2 - t**3 - 21*t + 378*t**2 + 0.
-(t - 10)*(t - 1)**2
Let a(t) = -36*t**3 - t**2 - 4. Let g be a(2). Let v = -2048/7 - g. Factor 6/7*h**2 + v*h + 18/7.
6*(h + 1)*(h + 3)/7
Let a(r) be the third derivative of 1/20*r**6 - 1/210*r**7 + 0 - 1/4*r**4 - 19*r**2 + 0*r + 0*r**3 + 1/60*r**5. Factor a(o).
-o*(o - 6)*(o - 1)*(o + 1)
Suppose 0 - 1737/2*f**2 + 51/2*f + 51*f**3 = 0. What is f?
0, 1/34, 17
Let u(g) be the second derivative of 0 + 14/19*g**2 + 181*g - 5/19*g**3 + 1/114*g**4. Factor u(r).
2*(r - 14)*(r - 1)/19
Let t(w) be the second derivative of -6*w + 0*w**3 + 8 - 2/21*w**7 + 0*w**5 + 0*w**4 + 0*w**2 - 4/15*w**6. Factor t(y).
-4*y**4*(y + 2)
Let l(i) = -88*i + 144. Let j be l(11). Let c = 826 + j. Factor -2/5*x**4 + 2/5*x**c + 2/5*x**3 + 0*x + 0 - 2/5*x**5.
-2*x**2*(x - 1)*(x + 1)**2/5
Let w = -737 + 760. Factor -72 - 160*s - 61 - w - 28*s**2 + 24*s**2.
-4*(s + 1)*(s + 39)
Let o(x) = 54*x**2 + 19*x - 23. Let b(c) = 755*c**2 + 270*c - 320. Let p(v) = 4*b(v) - 55*o(v). Factor p(j).
5*(j + 1)*(10*j - 3)
Factor 337/3*a**4 + 0*a - 56/3*a**3 - 2*a**5 + 0*a**2 + 0.
-a**3*(a - 56)*(6*a - 1)/3
Let o(n) be the third derivative of -n**7/630 + 133*n**6/360 - 13*n**5/6 - n**4/18 + 260*n**3/9 - n**2 - 93. Determine p, given that o(p) = 0.
-1, 2, 130
Determine d so that 4 - 3022 + 11700*d - 5*d**2 - 11*d**2 + 94 = 0.
1/4, 731
Let s(w) = w**3 + 25*w**2 + 5*w - 74. Let b(c) be the first derivative of c**3/3 + c**2 - 4*c + 233. Let d(p) = -22*b(p) + 2*s(p). Suppose d(o) = 0. What is o?
-15, -1, 2
Let h(d) = -d**3 + 3*d**2 + 17*d - 39. Let y be h(5). Let v be (y/(-20))/((-102)/(-68)). Factor -v*i**2 + 4/15*i + 16/15.
-2*(i - 4)*(i + 2)/15
Let j(q) be the first derivative of 0*q + 0*q**2 + 2/21*q**3 - 1/28*q**4 + 30. Factor j(u).
-u**2*(u - 2)/7
Let z(x) be the first derivative of x**3/3 + 2*x**2 + 2*x - 11. Let i be z(-4). Suppose -14 - 1 + 9*w**2 - 14*w**i - 20*w = 0. Calculate w.
-3, -1
Let u(p) be the first derivative of -35*p**6/72 - 3*p**5/8 + 5*p**4/12 - 2*p**3 + 3*p + 132. Let k(g) be the third derivative of u(g). Factor k(y).
-5*(5*y + 2)*(7*y - 1)
Let -407*g + 256 - g**2 - 182 + 147*g + 116*g + 983 = 0. Calculate g.
-151, 7
Let k = -2/6619 - 1992195/410378. Let y = -11/31 - k. Suppose 3/2*d**5 - 3/2*d - y*d**3 - 21/4*d**2 + 0 + 3/4*d**4 = 0. What is d?
-1, -1/2, 0, 2
Let m(u) be the second derivative of u**4/120 - 17*u**3/20 + 47*u**2/5 + 1421*u. What is w in m(w) = 0?
4, 47
Let b(i) be the second derivative of -i**6/360 - i**5/30 + i**4/72 + 5*i**3/3 + 74*i**2 + 76*i + 1. Let m(u) be the first derivative of b(u). Factor m(d).
-(d - 2)*(d + 3)*(d + 5)/3
Suppose -533*d - 360 = -563*d. Let y(h) be the third derivative of 0*h + 0 - d*h**2 + 1/330*h**5 + 1/33*h**4 + 4/33*h**3. Suppose y(w) = 0. Calculate w.
-2
Let s = 1516 + -1512. Let y = 61 + -42. Let 0*a**s + 5*a**2 + 22*a**3 + 10*a + y*a**2 - 2*a + 6*a**4 = 0. Calculate a.
-2, -1, -2/3, 0
Suppose 118422/7*i**3 + 0 - 30246/7*i - 91590/7*i**2 + 24/7*i**5 + 3390/7*i**4 = 0. What is i?
-71, -1/4, 0, 1
Let l(p) = -23*p + 85*p**2 - 1950*p - 547*p + 26410. Let i(t) = -7*t**2 + 210*t - 2201. Let m(q) = -25*i(q) - 2*l(q). Let m(d) = 0. What is d?
21
Let n be 21/9*(-2 - 234/(-63)). Let i(r) be the first derivative of 8/9*r + 5/18*r**n - 24 - 4/3*r**2 + 2/9*r**3. Factor i(y).
2*(y - 1)*(y + 2)*(5*y - 2)/9
Suppose -40*w = -44*w + 16. Let a(j) be the first derivative of -88/3*j**3 - 28/5*j**5 - 12*j + 18 - 2/3*j**6 - 26*j**2 - 18*j**w. Factor a(v).
-4*(v + 1)**4*(v + 3)
Let z(c) be the first derivative of 3/20*c**4 - 3/2*c**2 + 57 - 1/5*c**3 - 9/5*c. Let z(t) = 0. What is t?
-1, 3
Suppose 0 = -0*v - v + 2. Let a = 3669377 + -33024391/9. Suppose 10/9*o**v - 8/9*o + 0 - a*o**3 = 0. What is o?
0, 1, 4
Let t(b) be the first derivative of b**4/18 + 46*b**3/27 - 232*b**2/9 + 992*b/9 - 614. Find u such that t(u) = 0.
-31, 4
Let z(c) be the third derivative of c**5/12 - 1085*c**4/6 + 470890*c**3/3 - 81*c**2 + 2*c + 4. Let z(a) = 0. What is a?
434
Let c(m) be the first derivative of m**5/110 - 25*m**4/66 - 105*m + 119. Let j(y) be the first derivative of c(y). Find r, given that j(r) = 0.
0, 25
Let n(b) be the second derivative of 1/70*b**5 - 2/21*b**3 - 1/84*b**4 + 0 + 43*b + 3/14*b**2. Factor n(a).
(a - 1)**2*(2*a + 3)/7
Factor -48/7 + 62/7*o**3 + 716/7*o + 430/7*o**2.
2*(o + 3)*(o + 4)*(31*o - 2)/7
Let m be 6/(-14) + 43401/13209*2/6. What is s in m*s**2 - 26*s + 76/3 = 0?
1, 38
Let t(p) = -8*p - 133. Let h be t(-17). Factor 1113*i**3 - 557*i**h - 4*i**4 + 16*i - 568*i**3.
-4*i*(i - 1)*(i + 2)**2
Let r(t) be the third derivative of t**6/120 - 41*t**5/60 - 631*t**2. Factor r(n).
n**2*(n - 41)
Let k = -810 + 824. Let l be k/(-28)*(-6 + 6/(-3)). Find a, given that 12/19*a**3 + 0*a**l - 16/19*a**2 + 6/19*a + 0 - 2/19*a**5 = 0.
-3, 0, 1
Let o(z) = -z**3 + 2*z**2 + 3*z + 2. Let a be o(3). Factor 19 + 148*x + 110 - 996 - 46*x - 3*x**a.
-3*(x - 17)**2
Suppose 241/6*a**4 - 9*a**