) = 10*y**2 + 2. Let b(w) = -q(w) + 5*r(w). Let b(h) = 0. What is h?
-20, -6
Let l = 1041 - 1027. Let k be l/(0 + 2) - (-2197)/169. What is w in 0*w + 0 - 30*w**3 - 45*w**4 - 25/2*w**5 + k*w**2 = 0?
-2, 0, 2/5
Suppose -5*a - s - 5 = -3, -a - 10 = 5*s. Suppose a + 12 = 2*w. Factor -17*q**2 + 49*q**2 + 3*q**3 - 20*q**2 + w + 15*q.
3*(q + 1)**2*(q + 2)
Let b = 86191/689400 + -2/86175. Determine y so that 5/8*y**2 + 7/8 - b*y**3 + 13/8*y = 0.
-1, 7
Let k = 3 - -6. Let s be k/(-6)*(-2 + -8). Solve 14*d**3 - 6*d**3 - 12*d**2 - 11*d**3 - 6 - s*d = 0 for d.
-2, -1
Let k(c) be the third derivative of 1/12*c**6 + 1/15*c**5 - c**4 + 0*c + 17*c**2 - 3 - 1/210*c**7 + 0*c**3 - 1/336*c**8. Suppose k(f) = 0. Calculate f.
-3, -2, 0, 2
Let n = -289 - 125. Let r = -412 - n. Let -5/4*m**3 - 5*m**r + 5/4*m + 5 = 0. Calculate m.
-4, -1, 1
Determine r, given that 27*r - 48*r**4 + 24*r - 5*r**5 + 48*r**2 - 917*r**3 - 10*r**5 + 18*r**5 + 863*r**3 = 0.
-1, 0, 1, 17
Let f(m) = 21*m**3 + 44*m**2 - 21*m - 44. Let d(u) = u**3 + 3*u**2 - u - 3. Let h(l) = 10*d(l) - f(l). Factor h(x).
-(x - 1)*(x + 1)*(11*x + 14)
Let f be 1/(-2)*0*(-17)/(-272). Let g(q) be the second derivative of -1/40*q**5 - 1/8*q**3 - 7/48*q**4 + f + 0*q**2 + 16*q. Find x such that g(x) = 0.
-3, -1/2, 0
Let q(w) be the second derivative of -w**7/98 + 9*w**6/70 + 9*w**5/20 + 11*w**4/28 + 988*w. Find y, given that q(y) = 0.
-1, 0, 11
Let s = -18269134/19 + 961534. Solve 2/19*x**4 - 14/19*x**2 + 2/19*x**3 - s - 26/19*x = 0 for x.
-2, -1, 3
Suppose -333*f - 855 = -1521. Factor -4*d**3 + 0 + 0*d + 8/3*d**f.
-4*d**2*(3*d - 2)/3
Let n be (-78)/((-2)/(3 + (-5)/3)). Let o = 62 - n. Factor 56*y**3 + o*y**2 - 60*y**3 + 6*y**2 - 16*y.
-4*y*(y - 2)**2
Let t(a) = 2*a**2 - 945*a - 26970. Let n be t(-27). Factor 0 - 24*o - 3/8*o**n + 6*o**2.
-3*o*(o - 8)**2/8
Let t(f) be the second derivative of 0*f**3 + 0 - 184*f + 2/135*f**6 + 0*f**2 - 11/45*f**5 - 4/9*f**4. Factor t(p).
4*p**2*(p - 12)*(p + 1)/9
Let f(z) be the second derivative of -49*z - 2 + 0*z**4 + 1/4*z**6 + 0*z**3 + 0*z**2 + 1/28*z**7 + 9/20*z**5. Factor f(a).
3*a**3*(a + 2)*(a + 3)/2
Let g be (1 - (-7)/4) + 4/16. Suppose 13*a**4 - 8*a**g - 208*a + 108*a**2 - 26*a**4 + 39 + 9*a**4 + 73 = 0. Calculate a.
-7, 1, 2
Let b(m) = 64*m**2 - 1. Let y = 14 + -11. Let l be b(y). Find t, given that -16*t + l - 595 - 5*t**2 - 4*t = 0.
-2
Let i = -4/1069 - -3223/4276. Factor -3/4*a**3 - 1/4*a**5 + 0 + 0*a - i*a**4 - 1/4*a**2.
-a**2*(a + 1)**3/4
Let y(u) be the second derivative of 3*u**5/2 - 143*u**4/30 + 61*u**3/15 + 7*u**2/5 + 2402*u. What is n in y(n) = 0?
-7/75, 1
Let z be (4/72)/((-16)/(-864)). Factor 1/5*n**4 - 2*n**z + 0 + 9/5*n**2 + 0*n.
n**2*(n - 9)*(n - 1)/5
Let q(c) be the third derivative of c**7/135 + 29*c**6/270 + 64*c**5/135 + 8*c**4/27 + 78*c**2 + 6. Let q(k) = 0. Calculate k.
-4, -2/7, 0
Let r(y) be the first derivative of 31*y**3/3 - 2*y**2 - 5*y - 41. Let v(b) = 6*b**2 - b - 1. Let q(x) = -4*r(x) + 22*v(x). Solve q(p) = 0 for p.
-1/4, 1
Suppose -3/5*o**4 + 1488/5*o + 0 + 696/5*o**2 + 69/5*o**3 = 0. Calculate o.
-4, 0, 31
Suppose -2/9*w**4 - 50/3*w**2 + 0 + 40/9*w**3 + 0*w = 0. What is w?
0, 5, 15
Suppose -g = 2*a - 6*g - 21, a + 2*g + 3 = 0. Suppose 5*w - p - 12 = 0, 19*w - 6 = 15*w - p. Solve 2 + 234*d**3 - w - 238*d**a = 0 for d.
0
Let m(q) be the second derivative of q**4/4 + 59*q**3/2 + 1305*q**2 - 2*q + 892. Factor m(a).
3*(a + 29)*(a + 30)
Suppose o + 1 = 2*p - 0, -5*p = -4*o + 2. Suppose 5*c + 5*d = 30, -2 = 3*c - 2*d - 5. Factor -1/2*h**4 - 3*h**p + 0*h - 5/2*h**c + 0.
-h**2*(h + 2)*(h + 3)/2
Suppose 360 - 534*g + 244*g + 8*g**3 - 3*g**3 + 245*g - 40*g**2 = 0. Calculate g.
-3, 3, 8
Let x(m) be the first derivative of -112/27*m**3 + 115/9*m**2 - 1/18*m**4 - 116/9*m - 107. Let x(w) = 0. Calculate w.
-58, 1
Let c = 6366 - 6345. Let j(q) be the first derivative of 3/4*q**2 + c - 1/2*q - 1/3*q**3. Suppose j(b) = 0. What is b?
1/2, 1
Suppose -14 = 19*a - 26*a. Let z = 6 - 4. Determine n so that 112*n**2 + 107*n**2 - 226*n**z + 4*n**3 - a*n = 0.
-1/4, 0, 2
Let g(c) be the first derivative of c**4/14 - 4*c**3/3 + 11*c**2/7 + 52*c/7 + 848. Solve g(r) = 0.
-1, 2, 13
Let k(f) = -f**2 - 25*f - 3. Let r = -113 - -115. Let l(t) = 2*t - 1. Let q(d) = r*k(d) + 14*l(d). Determine i so that q(i) = 0.
-10, -1
Let s(b) be the first derivative of -3*b**5/5 + 21*b**4 - 131*b**3 - 1392*b**2 - 2304*b - 665. Suppose s(f) = 0. What is f?
-3, -1, 16
Let v(x) be the first derivative of -x**4/34 - 82*x**3/17 - 711*x**2/17 - 2106*x/17 - 2076. Factor v(d).
-2*(d + 3)**2*(d + 117)/17
Factor 83*n - 18*n + 196 + n**4 + 79*n + 38*n - 9*n**3 - 17*n**2 + 7*n.
(n - 7)**2*(n + 1)*(n + 4)
Factor -487*b + 1139*b - 4*b**2 + 2243*b + b**2.
-3*b*(b - 965)
Let p be 0 + -2 + 16 + -8. Let h be p/(-27) + 256/18. Solve 18 - 70*c**4 - h + 102*c**2 - 14 - 22 + 128*c - 9*c**5 - 119*c**3 = 0.
-4, -1, 2/9, 1
Let c(l) be the first derivative of 0*l**2 - 8/15*l**3 - 36 - 4/15*l**4 - 1/25*l**5 - 34*l. Let r(v) be the first derivative of c(v). What is w in r(w) = 0?
-2, 0
Let z be (245443/330)/53 - 14. Let g(i) be the third derivative of -1/120*i**4 - 21*i**2 + 1/300*i**5 + 0*i + 1/600*i**6 - z*i**3 + 0. Factor g(b).
(b - 1)*(b + 1)**2/5
Factor 170/13*k + 332/13 + 2/13*k**2.
2*(k + 2)*(k + 83)/13
Let i be (-270)/(-105) + -6 + (-342)/(-63). Find a such that -1/11*a**i - 14/11*a - 49/11 = 0.
-7
Let s(o) be the third derivative of o**6/150 + 461*o**5/75 - o**4/30 - 922*o**3/15 + 3*o**2 + 90*o - 6. Find l such that s(l) = 0.
-461, -1, 1
Let k be (0/(-5 + 16))/(-6) - -4*1. Let i(o) be the second derivative of -1/10*o**5 + 1/6*o**4 + 21*o + 4/3*o**3 - k*o**2 + 0. Determine a so that i(a) = 0.
-2, 1, 2
Let h(p) = 30*p**2 - 3*p + 1. Let o(s) = 31*s**2 + 212*s - 215. Let i(q) = 2*h(q) - 2*o(q). Factor i(n).
-2*(n - 1)*(n + 216)
Suppose b = -4*k - 2, -12*k - b = -15*k + 2. What is q in 26/5*q**2 - 34/5*q**3 + 12/5*q - 2*q**4 + k + 6/5*q**5 = 0?
-2, -1/3, 0, 1, 3
Let n(c) = 320*c - 15038. Let z be n(47). Let u = -3 - -8. Solve -148/7*d**4 - 10*d**u + 0 - 78/7*d**3 + 8/7*d**z + 8/7*d = 0 for d.
-1, -2/5, 0, 2/7
Let g(i) be the first derivative of -29 + 12/11*i**3 + 0*i - 3/11*i**2. Factor g(m).
6*m*(6*m - 1)/11
Factor 0 + 87/8*c + 4*c**2 + 1/8*c**3.
c*(c + 3)*(c + 29)/8
Find o such that 71*o**3 - 59*o**2 - 1081375*o + 50 - 42*o**2 + 1081352*o + 3*o**4 = 0.
-25, -2/3, 1
Let l(w) be the first derivative of -w**7/420 - w**6/80 + w**4/12 + 16*w**2 + 2*w + 17. Let z(s) be the second derivative of l(s). Let z(a) = 0. What is a?
-2, 0, 1
Let c = 56 + -180. Let q = 137 + c. Solve -38*s + 144 + 2*s**2 + 2*s**2 - 23*s + q*s = 0.
6
Let u(c) be the first derivative of -5/3*c**2 + c - 16 + 1/15*c**5 - 1/2*c**4 + 4/3*c**3. Factor u(j).
(j - 3)*(j - 1)**3/3
Determine b, given that -81*b**2 - 8*b**3 - 4393 + 1755*b + 1274 + 9*b**3 - 1444 = 0.
3, 39
Let h(g) = 2*g**2 + 8*g + 11. Let z be h(-2). Let k be (-1 + z)*-2 + 9. Let -2*i - 34*i**3 + 19*i**3 + 20*i**3 - i**4 - 3*i + 6 - k*i**2 = 0. What is i?
-1, 1, 2, 3
Let n = -253 - -263. Let a be 0*(10/(-25))/(12/n). Solve a + 4/5*t - 8/5*t**2 + 4/5*t**3 = 0.
0, 1
Let w(l) be the third derivative of l**5/90 + 8*l**4/9 - 76*l**3/3 + l**2 - 939*l. Factor w(q).
2*(q - 6)*(q + 38)/3
Let p be (34/51)/(-3 + (-80)/(-24)). Solve 8/21*x + 2/21*x**p + 8/21 = 0 for x.
-2
Let y = 22697 + -22695. Let i = 37/60 - -1/20. Determine k so that k + i + 1/3*k**y = 0.
-2, -1
Let w = 379 + -343. Suppose 15*y**3 + 108 + w*y**2 + 108*y - 21*y**3 + 10*y**3 = 0. What is y?
-3
Let x(t) be the second derivative of -39*t + 2/45*t**5 - 1/135*t**6 - 5/54*t**4 + 0*t**2 + 0 + 2/27*t**3. Suppose x(y) = 0. What is y?
0, 1, 2
Let v(k) be the third derivative of 64*k**2 - 22*k**4 + 0*k - 32*k**3 + 0 - 1/35*k**7 - 27/5*k**5 - 5/8*k**6. Factor v(x).
-3*(x + 4)**3*(2*x + 1)
Let j(k) = 4*k**2 + 104*k + 2704. Let r(n) = 15*n**2 + 416*n + 10816. Suppose -23*z - 24 = -27*z. Let u(g) = z*r(g) - 22*j(g). Factor u(v).
2*(v + 52)**2
Let r(k) be the second derivative of k**7/189 - 2*k**5/45 - k - 98. Factor r(i).
2*i**3*(i - 2)*(i + 2)/9
What is y in -416768*y + 1862800/9*y**2 + 278784 - 101384/3*y**3 - 2/9*y**5 - 524/3*y**4 = 0?
-396, 2
Determine v, given that -258/7*v + 6/7*v**3 + 760/7*v**2 - 508/7 = 0.
-127, -2/3, 1
Let o be (4/(