5*a**4/12 - 876*a**2. Let d(y) = 0. What is y?
-25, -2/5, 0
Let z = 73 + -57. Suppose -z = -4*w + 4*p, 8*w + 2*p = 6*w + 4. Solve 70*s**4 + 2*s**2 + 8*s**2 + 43*s**w + 15*s**5 - 15*s + 37*s**3 = 0.
-3, -1, 0, 1/3
Let v(t) be the second derivative of -4/11*t**3 - 1/11*t**4 + 0 + 24/11*t**2 + 3/110*t**5 - 26*t. Suppose v(s) = 0. Calculate s.
-2, 2
Let c be (5/3)/(2/6). Let z be (-88 - (-6903)/78)*((-10)/(-15))/(1/12). Determine y so that -z*y**2 - 1/2*y**c + 0*y + 0 + 2*y**3 + y**4 = 0.
-2, 0, 2
Factor 2697*f**2 - 2701*f**2 - 16*f + 43*f + 384 + 13*f.
-4*(f - 16)*(f + 6)
Solve -89*t - 2*t**5 - 6852*t**2 + 14*t + 6997*t**2 - 91*t**3 + 23*t**4 = 0.
0, 1, 5/2, 3, 5
Let w(n) be the first derivative of -n**6/120 + 3*n**5/20 - 5*n**4/8 - 58*n**3/3 - 6. Let t(m) be the third derivative of w(m). Let t(p) = 0. What is p?
1, 5
Let r(d) be the second derivative of 208*d + 400/3*d**3 + 30*d**2 + 0 + 25/4*d**5 + 635/12*d**4. Factor r(t).
5*(t + 2)*(t + 3)*(25*t + 2)
Let y be (-1336)/(-7 - -3) + -5. Factor 191*i + 174*i - 2*i**2 - y*i - 34.
-2*(i - 17)*(i - 1)
Let t be 2/20*-4*(-18 - -3). Suppose -t = -8*a - 6. What is l in -2/23*l**4 + 2/23*l**3 + a*l + 0 + 0*l**2 = 0?
0, 1
Let y(b) be the second derivative of -b**4/96 - 37*b**3/16 - 505*b**2/8 - 27*b + 173. Factor y(o).
-(o + 10)*(o + 101)/8
Let z be ((-26)/10)/((-12)/30)*2. What is l in -16*l - 103 - 20*l**3 + z*l + 103 - 104*l**2 - 17*l = 0?
-5, -1/5, 0
Let l = 4040948/7 - 577278. Find r, given that -20/7*r + 32/7 + l*r**2 = 0.
2, 8
Suppose -2189 = 5*m - 4*s, -2*s - 1217 - 529 = 4*m. Let v = m - -440. Factor 4*y - 7/3*y**3 - v*y**2 + 4/3.
-(y - 1)*(y + 2)*(7*y + 2)/3
Suppose 2680/9*q**2 + 196/9*q**4 + 2488/9*q - 2/9*q**5 + 832/9 + 1222/9*q**3 = 0. What is q?
-2, -1, 104
Suppose 8*p + 22 = 62. Suppose -p*a + 10 = -5. Suppose -2*b**2 + 9*b**3 - 3*b + 15*b**2 - 4*b**2 + 6*b + a*b**4 = 0. What is b?
-1, 0
Let d(o) = -o**3 + o**2 - o. Let v(t) be the first derivative of -t**4/4 - 2*t**3/3 - t**2 + 47. Let h(l) = 6*d(l) - 3*v(l). Find r, given that h(r) = 0.
0, 4
Let p(z) be the second derivative of -z**6/60 - 3*z**5/8 - 37*z**4/24 + 41*z**3/4 - 35*z**2/2 + 70*z - 5. Factor p(j).
-(j - 1)**2*(j + 7)*(j + 10)/2
Let t(v) = 4*v**4 + 12*v**3 - 54*v**2 + 43*v - 5. Let q(l) = -6*l**4 - 18*l**3 + 80*l**2 - 64*l + 8. Let o(g) = -5*q(g) - 8*t(g). Factor o(u).
-2*u*(u - 2)*(u - 1)*(u + 6)
Suppose -40*v + 34062 = -19*v. Let l = v + -11344/7. Factor -8/7*p - l + 2/7*p**2.
2*(p - 5)*(p + 1)/7
What is h in 5130/13*h + 14/13*h**3 - 722/13 - 534/13*h**2 = 0?
1/7, 19
Let n(x) be the third derivative of -95*x**2 - 5/24*x**4 + 0*x + 0 - 1/3*x**3 - 1/20*x**5. Factor n(f).
-(f + 1)*(3*f + 2)
Let o(g) be the second derivative of -g**4/6 + 223*g**3 - 2966*g - 2. Factor o(v).
-2*v*(v - 669)
Let i(c) = -c**2 + 44*c - 45. Let w(s) = -12*s**2 + 570*s - 585. Let x = 242 - 215. Let k(u) = x*i(u) - 2*w(u). Factor k(z).
-3*(z - 15)*(z - 1)
Let -828*o**3 + 365*o**4 + 479*o**2 - 15*o**5 + 214*o**2 - 96*o - 14*o - 138*o**2 + 33*o**3 = 0. Calculate o.
0, 1/3, 1, 22
Let i(q) be the first derivative of -q**3/21 + 222*q**2/7 - 443*q/7 - 4020. Determine a so that i(a) = 0.
1, 443
Let -17*l**2 + 137*l**2 - 2*l - 14*l - 14*l - 8*l**2 + 32*l**3 = 0. Calculate l.
-15/4, 0, 1/4
Let h be 0*(-1)/4*(-204 - -203). Let 14/3*z**2 + 4*z**3 + 0 - 2/3*z**4 + h*z = 0. Calculate z.
-1, 0, 7
Let x(u) be the second derivative of 6/25*u**6 + 0*u**5 + 32/5*u**3 + 2/105*u**7 - 104/15*u**4 + 288/5*u**2 + 0 + 108*u. Find y such that x(y) = 0.
-6, -1, 2
Let a(s) = -14*s**2 - 3*s + 8. Let m(l) = -28*l**2 - 7*l + 16. Let q(i) = 7*a(i) - 4*m(i). Let k be q(1). Factor -24*p**4 + 42*p**4 - k*p**4 + 5*p**5.
5*p**4*(p + 1)
Suppose -3*m = 3*j + 2*j - 321, -345 = -3*m + 3*j. What is u in 194*u**2 - 12*u - m*u**2 - 110*u**2 = 0?
-3/7, 0
Solve 90*s**3 + 44757*s + 547 + 5*s**4 + 545*s**2 - 43497*s + 253 = 0.
-8, -5, -4, -1
Let u(n) be the second derivative of n**6/75 - n**5/50 - n**4/15 - 27*n + 4. Factor u(z).
2*z**2*(z - 2)*(z + 1)/5
Suppose -226*i + 55*i - 32 = -346 - 28. What is j in -j**i + 0 + 6/5*j + 1/5*j**3 = 0?
0, 2, 3
Let d(f) be the second derivative of 0 - 14/15*f**3 - 1/30*f**4 - 142*f + 0*f**2. Suppose d(a) = 0. What is a?
-14, 0
Let o be 660 - 675 - (-1 + -19). Solve 0 + 3/2*g - 3*g**3 + 3/2*g**o + 0*g**4 + 0*g**2 = 0.
-1, 0, 1
Let z(m) be the second derivative of 3*m**5/80 + 49*m**4/16 - 101*m**3/8 + 153*m**2/8 + 1224*m. Suppose z(r) = 0. Calculate r.
-51, 1
Let z(j) be the first derivative of -2*j**7/105 + j**6/15 + j**5/15 - j**4/3 + 70*j**2 - 2*j + 126. Let b(p) be the second derivative of z(p). Factor b(k).
-4*k*(k - 2)*(k - 1)*(k + 1)
Let n(m) = 3*m + 48. Let j be n(-14). Let x be (-5 - 0) + j*3. Determine h, given that x*h + 70 + 11*h - 43 + 3*h**2 - 6*h = 0.
-3
Let -145*t**4 + 36 + 5*t**5 - 275*t + 263*t**2 + 205*t**3 + 65*t**3 + 99 - 253*t**2 = 0. Calculate t.
-1, 1, 27
Let h(r) be the third derivative of r**7/525 + 13*r**6/150 + 241*r**5/150 + 78*r**4/5 + 432*r**3/5 - 269*r**2 - 2*r. Factor h(i).
2*(i + 4)**2*(i + 9)**2/5
Let n = 15700/3 - 5217. Let l(c) be the first derivative of 252/5*c**5 - 30*c**4 + 0*c + 17 + 0*c**2 - n*c**6 + 16/3*c**3. Factor l(m).
-2*m**2*(m - 2)*(7*m - 2)**2
Suppose 94*m + 6 = 87*m + 6. Factor 0 + 7/4*j**4 + m*j + 0*j**2 - 3/2*j**3 - 1/4*j**5.
-j**3*(j - 6)*(j - 1)/4
Suppose -15*b = -16*b - 2, -5*v - b - 47 = 0. Let t be (-2601)/(-255) + 1*v. Factor 24/5 + 18/5*f - t*f**2.
-6*(f - 4)*(f + 1)/5
Suppose 38/3*f + 2/15*f**2 + 124/5 = 0. Calculate f.
-93, -2
Let p(d) = -32*d**2 + 74*d + 16. Let q(c) = 35*c**2 - 73*c - 18. Let l(y) = 5*p(y) + 4*q(y). Suppose l(a) = 0. Calculate a.
-1/10, 4
Suppose -r + 5*c + 14 = 6, 4*r + 4*c = 8. Suppose -w + 4*k = 0, 0 = r*w - 0*w - 3*k. Suppose -2/5*t**4 + w - 294/5*t**2 - 42/5*t**3 - 686/5*t = 0. Calculate t.
-7, 0
Suppose 6*w - 1/5*w**4 + 0*w**3 + 31/5*w**2 + 0 = 0. What is w?
-5, -1, 0, 6
Let l(u) = u**3 - 6*u**2 - 7*u + 2. Let b be l(7). Determine s, given that s**b + 346 + 274 - 80*s + s**2 + 180 = 0.
20
Let i be (3 + (-153)/(-45) - 7)/((-21)/120). Find y, given that -402/7*y**4 - 72/7*y**5 - 632/7*y**3 + i - 198/7*y**2 + 80/7*y = 0.
-3, -2, -2/3, -1/4, 1/3
What is o in 0 - 36/11*o - 42/11*o**3 - 102/11*o**2 = 0?
-2, -3/7, 0
Let w(s) be the second derivative of -1/3*s**3 + 13/120*s**6 - 3/40*s**5 + 15/8*s**2 + 0 - 11/12*s**4 - 1/84*s**7 + 112*s. Suppose w(h) = 0. What is h?
-1, 1/2, 3, 5
Factor 43*v**2 + 0 + 1/2*v.
v*(86*v + 1)/2
Let j = 1069 + -700. Suppose 4*p = 377 - j. Solve -2/3*u - 4/3 + 2/3*u**p = 0.
-1, 2
Let o be 3*(-36)/243*63/(-14). Let s(c) be the first derivative of -3 - 1/14*c**o + 0*c - 3/14*c**4 - 1/42*c**6 - 4/35*c**5 - 4/21*c**3. Factor s(v).
-v*(v + 1)**4/7
Let v be 3 - ((-221)/(-78) + 0). Let h(f) be the first derivative of v*f**4 - 2/3*f + 2/9*f**3 + 4 - 1/3*f**2. Factor h(g).
2*(g - 1)*(g + 1)**2/3
Let v = 5888375/7 + -841193. Factor -1/7*z**2 - v - 38/7*z + 3/7*z**3.
(z - 4)*(z + 3)*(3*z + 2)/7
Let b(c) = c**2 - 32*c - 105. Let q = -228 - -263. Let t be b(q). Factor 3/2*g**2 + t + 6*g.
3*g*(g + 4)/2
Let i = 3692737/8 + -461591. Find m, given that -1/4 + 1/8*m**5 + i*m - 3/4*m**4 - 2*m**2 + 7/4*m**3 = 0.
1, 2
Suppose -14051*p - 108 = -14078*p. Let b(i) be the second derivative of 1/110*i**5 - 3*i + 0*i**2 + 1/33*i**3 - 1/33*i**p + 0. Factor b(u).
2*u*(u - 1)**2/11
Factor -11048*y - 10334*y + 23176*y - y**2 - 804609.
-(y - 897)**2
Let o(w) be the second derivative of -w**4/30 - 31*w**3/3 - 604*w**2/5 - 6005*w. Factor o(u).
-2*(u + 4)*(u + 151)/5
Let w(r) be the first derivative of -r**5 + 1485*r**4/4 + 1495*r**3 + 4495*r**2/2 + 1500*r + 440. Factor w(k).
-5*(k - 300)*(k + 1)**3
Let w(c) be the third derivative of -c**7/70 + 3*c**6/40 + 27*c**5/20 + 13*c**4/8 - 21*c**3 - 1146*c**2. What is v in w(v) = 0?
-3, -2, 1, 7
Let u(m) be the first derivative of -1/2*m**2 - 1/2*m**4 - 1/10*m**5 - 5/6*m**3 + 0*m - 135. Factor u(n).
-n*(n + 1)**2*(n + 2)/2
Let i(h) be the first derivative of h**4/30 - 2*h**3/15 - 3*h**2/5 - 75*h + 99. Let d(b) be the first derivative of i(b). Suppose d(m) = 0. What is m?
-1, 3
Let f = -1395 + 1389. Let g(h) = -1 + h + 1. Let v(a) = a**2 + 3*a. Let j(z) = f*g(z) + 3*v(z). Factor j(r).
3*r*(r + 1)
Let q(x) be the first derivative of 0*x**2 - x**3 + 6*x -