**2
Suppose 102*i = 5*f + 99*i - 203, -3*f + 4*i + 124 = 0. Determine k so that -50/3*k**3 + 50/3*k - f - 5/3*k**4 + 125/3*k**2 = 0.
-12, -1, 1, 2
Let w(o) = -2*o**3 - 114*o**2 + 130*o + 815. Let m be w(-58). Let q = -346 + 2781/8. Factor -1/2*x + 3/8*x**4 + 2*x**2 - q*x**m + 0.
x*(x - 2)**2*(3*x - 1)/8
Let u(z) be the first derivative of -z**4/8 + 14*z**3/3 - 13*z**2 - 2087. Let u(q) = 0. What is q?
0, 2, 26
Factor -301043*v - 9639734 + 227814 - 5*v**2 + 314763*v.
-5*(v - 1372)**2
Factor 56/5*h + 0 - 4/5*h**2.
-4*h*(h - 14)/5
Let p = -3644 + 14585/4. Solve -3/4*h + 1/4*h**2 + 1/12*h**3 - p = 0.
-3, 3
Let z be ((-5)/(40/(-26)) - 7)/(505/(-10706)). Factor -z*i + 6*i**2 + 39/2.
3*(i - 13)*(4*i - 1)/2
Suppose -314/5*p + 313/5 + 1/5*p**2 = 0. Calculate p.
1, 313
Let h be 62/(-1)*1/(-2). Determine w, given that -w**3 - 3*w - w + 35*w**2 - h*w**2 = 0.
0, 2
Let c be ((-168)/(-448)*(-4)/6)/(-1)*3. Find t such that 21/2*t**2 - 75/4*t + 9 - c*t**3 = 0.
1, 12
What is m in 4/3*m**3 + 0*m - 60*m**2 - 1/3*m**5 + 0 + 15*m**4 = 0?
-2, 0, 2, 45
Let v(f) be the third derivative of -25*f**7/42 - 5*f**6/12 + 506*f**5/3 + 675*f**4/4 + 135*f**3/2 - 3001*f**2. Suppose v(m) = 0. Calculate m.
-9, -1/5, 9
Let m(v) be the third derivative of -v**7/210 + v**6/15 - 4*v**5/15 + 520*v**2. Let m(g) = 0. Calculate g.
0, 4
Let m(d) be the third derivative of d**6/2520 + 11*d**5/420 + d**4/8 - d**3/6 + 6*d**2 + 5*d. Let i(c) be the first derivative of m(c). Factor i(v).
(v + 1)*(v + 21)/7
Let r(b) = -3*b**2 + 5*b - 4*b**3 - 2*b**2 + b**3 + 4*b**3. Let s be r(4). Factor 3*u**3 + 20*u**2 - s*u**3 + 5*u**3 - 14*u - 4*u**4 + 26*u.
-4*u*(u - 3)*(u + 1)**2
Suppose 0 = 6103*p - 6106*p. Let a(u) be the second derivative of 21*u + p - 1/24*u**3 + 1/80*u**5 + 1/24*u**4 - 1/4*u**2. Factor a(n).
(n - 1)*(n + 1)*(n + 2)/4
Let a(g) = g - 1. Let z(m) = -m**3 - 3*m**2 - 5*m + 3. Suppose -12 = -4*t + 2*t. Let w(q) = t*a(q) + 2*z(q). Suppose w(d) = 0. Calculate d.
-2, -1, 0
Let v = 4252/3 - 1410. Let h(m) = 3*m + 46. Let f be h(-14). Solve v*p**3 + 490/3*p - 1/3*p**f - 343/3 - 56*p**2 = 0 for p.
1, 7
Let q(j) be the third derivative of j**5/210 - 11*j**4/21 + 4*j**3 + j**2 - 677. Factor q(y).
2*(y - 42)*(y - 2)/7
Let q(x) be the first derivative of -4*x**5/5 + 21*x**4 - 180*x**3 + 486*x**2 + 2757. Let q(y) = 0. What is y?
0, 3, 9
Suppose -5*l - 190 = -2*y + 117, y + l = 136. Suppose -y*s = -145*s. Factor -8/3*t + 2/9*t**4 + 32/9*t**2 + s - 14/9*t**3.
2*t*(t - 3)*(t - 2)**2/9
Suppose -739 = -16*v - 179. Suppose -86*m = -v*m - 102. Factor 5/3*d**m - 10/3*d + 5/3.
5*(d - 1)**2/3
Let g(a) be the third derivative of a**6/240 + 2*a**5/15 + 21*a**4/16 - 2*a**2 + 420. Factor g(n).
n*(n + 7)*(n + 9)/2
Let f(u) = 2*u**2 + u - 1. Let x(s) = -5*s**2 - s + 4. Let t be 3/(((-4)/(-10))/(12/1)). Let k be t/20*(0 + (-4)/3). Let n(a) = k*f(a) - 2*x(a). Factor n(h).
-2*(h + 1)**2
Suppose -5*r + 4 = -16. Let x be 14/((-26)/((-442)/119)). Suppose -2/15*b**r + 2/15*b**x + 0 - 2/15*b**3 + 2/15*b = 0. Calculate b.
-1, 0, 1
Let s(k) be the second derivative of 11 + 2*k + 1/45*k**6 + 0*k**5 + 0*k**3 - 1/18*k**4 + 0*k**2. Factor s(g).
2*g**2*(g - 1)*(g + 1)/3
Let w(h) be the first derivative of -50/21*h**3 + 30 - 648/7*h - 180/7*h**2. Factor w(o).
-2*(5*o + 18)**2/7
Let q(u) = -2*u**2 + u. Let t(f) = 16*f**2 - 114*f - 612. Let s(k) = -10*q(k) - t(k). Factor s(i).
4*(i + 9)*(i + 17)
Let i(l) = -l**3 + 8*l**2 + 10*l + 20. Let t be i(9). Let d = t - 27. Suppose -26*h**4 + 33*h**2 - 6*h - 7*h**5 + 15*h**3 - d*h - 7*h**2 = 0. What is h?
-4, -1, 0, 2/7, 1
Let p(n) = 3*n**2 - 28*n**2 - n**2 + 87*n**2 - 39*n. Let o(d) = -31*d**2 + 19*d. Let t(s) = -9*o(s) - 4*p(s). Factor t(a).
5*a*(7*a - 3)
Let k(d) be the second derivative of 1/165*d**6 + 1/55*d**5 + 0 + 0*d**3 - 4/33*d**4 + 0*d**2 - 11*d. Find i such that k(i) = 0.
-4, 0, 2
Find l such that 0 + 254/7*l**3 - 2*l**5 - 162/7*l**4 + 0*l - 78/7*l**2 = 0.
-13, 0, 3/7, 1
Let v(h) be the second derivative of -h**4/12 - 5*h**3/3 - 11*h**2/2 - 10*h. Let a be v(-6). Factor -a*u**2 + 42*u**2 - 17*u**2 - 17*u**2.
-5*u**2
Let w(f) be the first derivative of -27 + f**3 + 0*f + 0*f**2 - 25/144*f**4 + 1/24*f**5 - 1/432*f**6. Let y(s) be the third derivative of w(s). Factor y(u).
-5*(u - 5)*(u - 1)/6
Let i(s) = -36*s**4 + 60*s**3 + 4*s**2 - 172*s - 64. Let y(u) = -u**4 - 5*u**3 - 2*u**2 + u + 1. Let v(k) = -i(k) + 8*y(k). Determine n so that v(n) = 0.
-1, -3/7, 2, 3
Let y(o) = 387*o**2 + 3120*o + 2334. Let h(k) = 24*k**2 + 195*k + 146. Let f(p) = 33*h(p) - 2*y(p). Let f(z) = 0. What is z?
-10, -5/6
Let d be (-2 - -1)*(-14 - -14)/(-11). Suppose -10/7*q + d - 11/7*q**2 - 1/7*q**3 = 0. What is q?
-10, -1, 0
Let n(u) be the second derivative of u**6/30 - 8*u**5/15 + 7*u**4/6 - 61*u**2/2 - 70*u. Let p(w) be the first derivative of n(w). Factor p(y).
4*y*(y - 7)*(y - 1)
Let -17*x**2 + 13*x**3 + 241*x - 86*x - 35*x**3 + 23*x**3 + 173*x**2 = 0. What is x?
-155, -1, 0
Factor -227/2*t - 113 - 1/2*t**2.
-(t + 1)*(t + 226)/2
Let z(r) be the second derivative of 165*r + 0*r**3 + 1/10*r**5 - 1/105*r**7 - 1/75*r**6 + 0 + 0*r**2 - 1/10*r**4. Factor z(o).
-2*o**2*(o - 1)**2*(o + 3)/5
Let q(f) = 2*f**2 + 52*f - 163. Let m = 802 - 799. Let v(t) = 12*t**2 + 260*t - 816. Let i(g) = m*v(g) - 16*q(g). Factor i(r).
4*(r - 8)*(r - 5)
Find r such that -32/3*r + 7*r**3 + 1/6*r**5 - 13/6*r**4 - 4/3*r**2 + 0 = 0.
-1, 0, 2, 4, 8
Suppose 77*x - 55 = 23*x + 53. Suppose 108/5 - 21/5*s**x + 36/5*s + 2/5*s**3 = 0. Calculate s.
-3/2, 6
Factor -120984 - 568*b - 2/3*b**2.
-2*(b + 426)**2/3
Let v(p) = p**2 + p. Let a(q) = -5*q**2 + 20*q + 9. Let j(s) = a(s) + 3*v(s). Let r be j(11). Factor 30*d**2 + d**3 + 8 - r*d**2 - 4*d - 13*d - 2*d**3.
-(d - 8)*(d - 1)**2
Let z = 136 - 223. Let c = -84 - z. Solve -6*i**3 + 8*i - 4*i**2 + 4*i**4 - i**3 - i**c = 0.
-1, 0, 1, 2
Let n(u) = u**2 - 4*u + 11. Let z be n(-5). Let b be 364/z + (-2)/4 + 1. Factor 20*g**2 + 25*g + 12*g**3 - b*g**3 - 8 + 18.
5*(g + 1)**2*(g + 2)
Let t(h) = 7*h**5 + 24*h**4 + 69*h**3 - 6*h**2 - 12*h - 6. Let v(l) = -l**5 - l**4 + 2*l**3 + l**2 + 2*l + 1. Let s(x) = -t(x) - 6*v(x). What is q in s(q) = 0?
-9, 0
Suppose 2 = -3*b + 8. Let f(r) = -6*r - 20. Let q be f(-6). Find d such that d**3 + 19*d**b + q*d - 14*d**2 - 13*d**2 = 0.
0, 4
Suppose -17*x + 181 - 1 = -160. Let r(c) be the first derivative of 2/7*c**3 + x + 2/7*c**4 + 0*c + 0*c**2 + 2/35*c**5. Factor r(o).
2*o**2*(o + 1)*(o + 3)/7
Suppose 6/11*h**3 + 8 + 14/11*h - 68/11*h**2 = 0. Calculate h.
-1, 4/3, 11
Let d be ((-10)/(-18) - (-20516)/(-80280))/((-1)/((-2)/6)). Factor -108/5*g - d*g**4 + 27/5*g**2 + 0*g**3 + 243/10.
-(g - 3)**3*(g + 9)/10
Let l be (-9 - (-660)/45) + 0 + (-5)/1. Factor 0*h + l*h**5 + 0 - 2*h**3 + 4/3*h**2 + 0*h**4.
2*h**2*(h - 1)**2*(h + 2)/3
Let r = -101546 + 101546. Suppose r + 5*a**2 + 1/2*a**3 + 0*a = 0. What is a?
-10, 0
Let v(d) be the first derivative of 29*d**3 - 1869*d**2 - 129*d + 4912. Solve v(k) = 0.
-1/29, 43
Let s = 2741 + -2741. Let j(a) be the first derivative of 1/9*a**3 - 10 + s*a**2 + 0*a. Determine p so that j(p) = 0.
0
Let q = -57303/8 - -7163. Let g(n) be the first derivative of 11 + 0*n**3 + 1/4*n**2 - q*n**4 + 0*n. Find m, given that g(m) = 0.
-1, 0, 1
Let f = 58 - 55. Factor 16*t**2 + t - 3*t**3 + 11*t + 7*t**f.
4*t*(t + 1)*(t + 3)
Factor -1568/3 + 8/3*b**2 + 1044*b.
4*(b + 392)*(2*b - 1)/3
Let z(x) be the first derivative of -x**4/2 + 116*x**3/3 - 229*x**2/4 + 57*x/2 - 115. Factor z(w).
-(w - 57)*(2*w - 1)**2/2
Factor 1500 + 375*c + 30*c**2 + 3/4*c**3.
3*(c + 10)**2*(c + 20)/4
Suppose 218*a = 468*a - 216*a - 170. Let j(i) be the first derivative of 2/3*i**2 - 16/9*i**3 - 50 + 0*i + 5/3*i**a + 5/12*i**4. Factor j(p).
p*(p + 1)*(5*p - 2)**2/3
Factor -2/9*f**3 - 44/9*f**2 - 64/3*f + 64.
-2*(f - 2)*(f + 12)**2/9
What is r in -3/5*r**3 - 18/5*r**2 + 57/5*r + 72/5 = 0?
-8, -1, 3
Let b(s) = 2*s**4 + s**3 - s**2 - 3*s. Let j(a) = a**5 + 7*a**4 - 55*a**3 - 1101*a**2 + 3200*a + 4225. Let x(v) = -5*b(v) - j(v). Find m such that x(m) = 0.
-13, -1, 5
Let q(o) be the second derivative of o**7/2520 - o**6/135 - o**5/40 - o**3/3 + 3*o**2 + 267*o. Let v(u) be the second derivative of q(u). Factor v(p).
p*(p - 9)*(p + 1)/3
Let w(g) be the third derivative of -g**5/120 + 67*g**4/96 - 65