 Let j(h) = q*f(h) - 45*m(h). Factor j(u).
5*u*(9*u - 4)
Let b = -1960 - -1143. Let s = -817 - b. Suppose s - 4*k**3 + 2/3*k**4 + 6*k**2 + 0*k = 0. What is k?
0, 3
Suppose -23*h = 478 + 534. Let k be h/(-18) - (-770)/(-693). Solve 0*t**3 + k - 8/3*t**2 + 0*t + 4/3*t**4 = 0 for t.
-1, 1
Let t(y) = 12*y + 39. Let n be t(-3). Factor 411*x**3 - 18*x**2 - 3*x**4 - 804*x**n + 408*x**3.
-3*x**2*(x - 3)*(x - 2)
Let w be ((-14415)/(-1260))/31 - 1/12. Suppose 4*n = n. Solve 0*d + n - 1/7*d**3 - 3/7*d**4 - w*d**5 + 0*d**2 = 0.
-1, -1/2, 0
Factor 0 - 1/4*h**2 + 815/2*h.
-h*(h - 1630)/4
Let s = 58013/77244 + -20/19311. Determine a, given that -15/4*a**3 + s*a**5 + 15/2*a**2 + 3*a - 3/2*a**4 - 6 = 0.
-2, -1, 1, 2
Let f be (-13 - -11)*(1 - 3). Factor -1324 + 2*o**2 - 2548 - 146*o - f*o**2 - 30*o.
-2*(o + 44)**2
Let w(c) = -7*c + 17. Suppose -19*k = 19 - 57. Let g be w(k). Factor 2/9 - 2/9*f**4 - 4/9*f**g + 0*f**2 + 4/9*f.
-2*(f - 1)*(f + 1)**3/9
Let g(q) be the second derivative of 65/6*q**3 + 13/3*q**6 + 15*q**2 - 40/3*q**4 - 5/6*q**7 - 3/2*q**5 + 21 - q. Suppose g(i) = 0. What is i?
-1, -2/7, 1, 3
Let a(i) = 2*i**2 - 16964*i + 14450003. Let n(l) = 5*l**2 - 33940*l + 28900005. Let c(d) = 5*a(d) - 3*n(d). Factor c(h).
-5*(h - 1700)**2
Suppose -5*l - 253*i + 27 = -257*i, 3*l - 3*i = 15. Factor -l*v**3 - 1/2*v**4 + 49/2 + 7*v - 24*v**2.
-(v - 1)*(v + 1)*(v + 7)**2/2
Let r = -482181 - -3375304/7. Factor -1/7*l**2 + 38/7 + r*l.
-(l - 38)*(l + 1)/7
Factor -59405*t**2 - 200*t**4 + 195*t**4 + 1586*t**3 - 496*t**3.
-5*t**2*(t - 109)**2
Let o(g) be the second derivative of -7/5*g**5 + 2/21*g**7 - 2/5*g**6 + 0 + 0*g**2 + 12*g**3 - 179*g + 5*g**4. Suppose o(u) = 0. What is u?
-2, -1, 0, 3
Let g(j) be the third derivative of 21*j**8/8 - 2011*j**7/5 - 52709*j**6/60 - 8163*j**5/10 - 420*j**4 - 388*j**3/3 + 2288*j**2. Solve g(h) = 0.
-1/3, -2/7, 97
Let y be (-2)/(-7) - 20370/(-49). Factor -y*x + 288 - 324*x**3 - 697*x + 195*x + 7914*x**2 - 1690*x - 1938*x**2.
-4*(x - 18)*(9*x - 2)**2
Let f(m) be the third derivative of m**8/672 - m**7/210 - m**6/240 + m**5/60 + 8*m**2 + 26*m. Factor f(o).
o**2*(o - 2)*(o - 1)*(o + 1)/2
Factor -414/5 + 1/5*k**2 - 41*k.
(k - 207)*(k + 2)/5
Let p(w) = -2*w**2 - 19*w + 21. Let v be 4/(-16)*16/(-4). Let m(l) = -l**2 + l. Let k(d) = v*m(d) + p(d). Suppose k(o) = 0. What is o?
-7, 1
Let o(l) be the third derivative of -48*l**6/5 + 40*l**5 - 97*l**4/12 + 2*l**3/3 - 736*l**2. Determine u so that o(u) = 0.
1/24, 2
Let s = 261 + -177. Suppose 3*m = m + 4. Factor 267*a**m + 217*a**2 + 92*a + s*a + 16.
4*(11*a + 2)**2
Factor 9*j**3 - 294 + 201*j**2 + 334*j + 556 - 178 - 78*j.
(j + 21)*(3*j + 2)**2
Let w be (-7)/((-147)/(-5383))*3. Let m = w + 769. Let -2/7*j**4 - 2/7*j**2 + 0 + m*j + 4/7*j**3 = 0. Calculate j.
0, 1
Suppose 0 = 4*n + y + 1, 0*n + 5 = n - 5*y. Let u = 110937/2 + -55467. Factor u - 3/2*s**2 + n*s.
-3*(s - 1)*(s + 1)/2
Let g(f) be the first derivative of 2/57*f**3 - 2/95*f**5 + 9 + 0*f - 9/38*f**4 + 9/19*f**2. Let g(z) = 0. Calculate z.
-9, -1, 0, 1
Let p = 663 + -370. Factor -3*a**4 - 456*a + p*a - 58*a**3 - 675 - 858*a**2 - 1277*a - 38*a**3.
-3*(a + 1)**2*(a + 15)**2
Let k(g) be the third derivative of -g**8/1008 + 2*g**7/63 - 7*g**6/180 - 23*g**5/45 - 19*g**4/24 - 38*g**2 - g + 66. Find j, given that k(j) = 0.
-1, 0, 3, 19
Let k(d) = -d**3 + 15*d**2 - 4*d - 10. Let i be k(4). Suppose w + 148 - i = 0. Factor -3/2*q - 15/8*q**w + 0 - 3/8*q**3.
-3*q*(q + 1)*(q + 4)/8
Solve -248 - 4*r**2 + 596*r + 620*r + 525*r - 2075*r + 586*r = 0.
1, 62
Let r(t) be the third derivative of 0 - 49*t**2 - 40/3*t**3 + 25*t**4 + 0*t - 75/4*t**5. Let r(u) = 0. Calculate u.
4/15
Let g = -510/1769 + 3299/5307. Determine f so that -14/3*f - g*f**2 - 13/3 = 0.
-13, -1
Let j(t) be the second derivative of t**6/30 + t**5/20 - 2*t**4 + 6*t**3 - 3*t + 121. Factor j(d).
d*(d - 3)*(d - 2)*(d + 6)
Let t(d) be the third derivative of 1/140*d**5 - 1/7*d**4 + 2 + 30*d**2 + 0*d**3 + 0*d. Determine m, given that t(m) = 0.
0, 8
Let v(w) = -w**3 + 1007*w**2 - 247005*w - 750020. Let o(s) = 2*s**3 - 2016*s**2 + 494011*s + 1500044. Let i(y) = 10*o(y) + 22*v(y). Factor i(j).
-2*(j - 500)**2*(j + 3)
Let o be (2 - (-28)/(-49))*21/6. Factor -39*v**3 - 3*v**o + 563*v**4 + 36*v**2 + 554*v**4 - 1099*v**4 - 12*v.
-3*v*(v - 2)**2*(v - 1)**2
Let j be 4 + -1 + (-17)/(68/8). Let a(k) = 5*k**2 + 82*k + 968. Let l(s) = -s**2 + 2*s. Let v(h) = j*a(h) + 3*l(h). Suppose v(x) = 0. What is x?
-22
Let u = 288546/5 - 57702. Factor 6/5*q**2 + 0*q + 0 + u*q**4 - 27/5*q**3 - 3*q**5.
-3*q**2*(q - 1)**2*(5*q - 2)/5
Let p(y) be the third derivative of -y**5/120 + 151*y**4/48 - 961*y**2. Solve p(n) = 0.
0, 151
Let p(x) be the first derivative of -x**6/2 + 48*x**5/5 - 123*x**4/4 + 26*x**3 + 291. Let p(l) = 0. What is l?
0, 1, 2, 13
Let d(o) = o**3 - 1. Suppose 30 - 21 = 3*l - 2*w, 4*l = 2*w + 10. Let q(u) = -5*u**3 - 7*u**2 - 10*u + 4. Let p(c) = l*q(c) + 4*d(c). Factor p(j).
-j*(j + 2)*(j + 5)
Let v(y) = -372*y + 21204. Let o be v(57). Let o + 2/15*m**3 + 2/15*m**4 - 2/15*m - 2/15*m**2 = 0. Calculate m.
-1, 0, 1
Let h(s) be the first derivative of 10*s**2 - 34*s + 0*s**3 - 5/12*s**4 - 24. Let b(q) be the first derivative of h(q). Factor b(p).
-5*(p - 2)*(p + 2)
Let y(f) be the third derivative of -f**6/300 - 29*f**5/75 - 55*f**4/3 - 6776*f**3/15 - 1873*f**2 + 1. Find n such that y(n) = 0.
-22, -14
Let z be 9*((-2)/(-2) + 2128/(-57)). Let n = 327 + z. Find o, given that 0 - 2/3*o**5 + n*o - 2*o**3 + 2/3*o**2 + 2*o**4 = 0.
0, 1
Suppose -25*n + 21*n + 359*n = 710. Let 14/5*u**4 - 74/5*u**3 + 48/5*u**n - 32/5 + 104/5*u = 0. Calculate u.
-1, 2/7, 2, 4
Let l be 8840/26775 - (-4)/(-90). Let g(x) be the first derivative of -l*x**2 - 1/35*x**5 - 1/7*x - 1/7*x**4 - 2/7*x**3 + 15. Factor g(v).
-(v + 1)**4/7
Let v(q) be the third derivative of -1/16*q**6 - q - 1/4*q**4 + 0*q**3 + 17/80*q**5 - 14*q**2 + 0 + 1/280*q**7. Solve v(c) = 0.
0, 1, 8
Let m(k) be the third derivative of -k**5/20 - 583*k**4/2 - 679778*k**3 - 1340*k**2. Solve m(l) = 0 for l.
-1166
Let j(p) = -5*p**2 - 12*p - 15. Let f(z) = -22 - 3*z**2 + 4*z**2 - 4*z**2 - 3*z**2 - 11*z + 7. Let l(w) = 4*f(w) - 5*j(w). Determine n so that l(n) = 0.
-15, -1
Let h = 823272 + -63392828/77. Let d = 81/7 + h. Factor d*z - 1/11*z**2 - 1/11*z**3 + 1/11.
-(z - 1)*(z + 1)**2/11
Let k(d) be the second derivative of d**5/10 + 59*d**4/36 - 38*d**3/9 + 11*d**2/6 + 987*d. Let k(t) = 0. Calculate t.
-11, 1/6, 1
Suppose -5 = -g - 5*n, -n = 5*g - 3*n + 2. Suppose g = -6*z - z + 49. Solve z*m**2 + 6*m**4 - 4*m**2 - m**5 - 8*m**4 + 3*m**3 + 4*m + 5*m**2 = 0 for m.
-2, -1, 0, 2
Suppose 5*m + 5*n = 20, -3*m + 14 - 2 = -4*n. Suppose 2*a + 12 = 4*o, 3*a - o = m*o - 15. Factor -4/9*q**2 + a + 4*q.
-4*q*(q - 9)/9
Suppose 0 = -17*h + 232 - 181. Let a(d) be the first derivative of 4/19*d**2 + 8/19*d + 2/57*d**h - 5. Factor a(r).
2*(r + 2)**2/19
Let s(u) be the first derivative of -1/4*u**4 + 1/2*u**2 - 3*u + 83 + u**3. Factor s(c).
-(c - 3)*(c - 1)*(c + 1)
Let a(q) be the second derivative of 13*q + 0 + 1/216*q**4 + 0*q**3 + 6*q**2 + 1/540*q**5. Let u(s) be the first derivative of a(s). Factor u(c).
c*(c + 1)/9
Let a(t) be the second derivative of t**4/3 + 176*t**3 + 34848*t**2 - 3261*t. What is o in a(o) = 0?
-132
Let b(k) = k**3 - 39*k**2 - 63*k - 71. Let t be b(40). Let v = -12881/13 - t. Factor v*g**2 + 0 + 2/13*g.
2*g*(g + 1)/13
Suppose -5*i = -2*h - 12, 4783*i + 8 = 4781*i + 4*h. Factor -2/9*f**2 + 26/9*f + 2/9*f**i - 26/9*f**3 + 0.
2*f*(f - 13)*(f - 1)*(f + 1)/9
Let y(i) be the second derivative of 5*i**4/12 - 165*i**3/2 + 245*i**2 - 5739*i. Suppose y(j) = 0. What is j?
1, 98
Suppose 3*a = -4*k + 8, -k - 2 = -2*k + 5*a. Let l(w) = 2*w**3 + 7*w**2 - 185*w + 8. Let c be l(8). Factor -2/5*y**k + c + 2/5*y - 2/5*y**3 + 2/5*y**4.
2*y*(y - 1)**2*(y + 1)/5
Let k = 3134 - 3130. Let c(u) be the first derivative of -3/2*u**k + u**3 + 0*u**2 + 0*u - 9/5*u**5 - 12. Factor c(w).
-3*w**2*(w + 1)*(3*w - 1)
Let q(i) be the third derivative of -i**6/540 - i**5/45 - i**4/9 - 8*i**3/27 - 3*i**2 + 95. Factor q(w).
-2*(w + 2)**3/9
Let b(p) be the second derivative of p**7/70 - p**6/5 + 69*p**5/100 - 7*p**4/10 - 1335*p. Solve b(t) = 0.
0, 1, 2, 7
Let g(p) be the third derivative of -5*p**8/112 + 2*p**7/