be the first derivative of 11 - 3/4*p**b + 0*p**3 - 6*p + 9/2*p**2. Find m such that y(m) = 0.
-2, 1
Suppose 70*b = 173*b - 151*b. Find c, given that -1/4*c**2 + 2*c + b = 0.
0, 8
Let f be 1/2*(-1 + 1) + 39. Suppose 8*w - f = -23. Factor 8/3*g**3 - 4/3*g**w - 4/3*g**4 + 0 + 0*g.
-4*g**2*(g - 1)**2/3
Determine l, given that -1478/13 + 1480/13*l - 2/13*l**2 = 0.
1, 739
Let g(w) = 7*w + 204. Let z be g(-23). Suppose 4*q - z*q = -117. Factor 0 - 2/19*v**2 + 6/19*v**q - 6/19*v + 2/19*v**4.
2*v*(v - 1)*(v + 1)*(v + 3)/19
Let s(a) be the third derivative of 0*a**3 + 0*a - 66*a**2 + 1/900*a**6 - 1/225*a**5 + 0 + 0*a**4 + 1/1575*a**7. Solve s(l) = 0.
-2, 0, 1
Suppose -5*t + 35 = 2*i, -5*t + 4 + 11 = -2*i. Suppose -309*y - 25 = -314*y. Solve 2*x**3 + i*x**y + 3*x**3 + 22*x**5 - 2*x**3 - 18*x**4 = 0.
0, 1/3
Let n(o) be the second derivative of 1/21*o**7 + 0*o**3 + 0*o**2 + 27*o + 1 - o**6 - 8/5*o**5 + 0*o**4. Factor n(y).
2*y**3*(y - 16)*(y + 1)
Let q(z) = 2*z**3 + 31*z**2 + 11*z - 13. Let h be q(-15). Solve h*f**2 - 13 - 21*f**2 + 9*f + 19 - 23*f**2 = 0 for f.
-2, -1
Factor -43*u**2 - 36 - 2*u**3 + 3926*u - 60*u**2 + 119*u**2 - 3944*u.
-2*(u - 6)*(u - 3)*(u + 1)
Let x = -52587 - -52589. Suppose -13/6*y**3 - 2/3*y + y**4 + 2*y**x + 0 - 1/6*y**5 = 0. What is y?
0, 1, 2
Let m(g) be the second derivative of -g**5/10 - 236*g**4/3 - 55696*g**3/3 - g - 2727. Factor m(s).
-2*s*(s + 236)**2
Let q = 11816/7135 - 80/1427. Find b, given that q*b - 1/5*b**2 - 16/5 = 0.
4
Let s(k) be the third derivative of -k**5/20 + 5*k**4 - 200*k**3 + 16*k**2 - 14. Factor s(w).
-3*(w - 20)**2
Let z(g) be the first derivative of g**6/8 + 7*g**5/10 - 13*g**4/2 + 19*g**3/2 - 27*g**2/8 - 12615. Solve z(a) = 0.
-9, 0, 1/3, 1, 3
Let g = -902 - -1137. Let f = g + -232. Factor 1/4 + 1/8*y**f - 1/4*y**2 - 1/8*y.
(y - 2)*(y - 1)*(y + 1)/8
Let o(b) be the second derivative of 0 + 5/3*b**4 - 2/5*b**5 + 0*b**2 - 1/10*b**6 + 112*b + 8/3*b**3. Determine h so that o(h) = 0.
-4, -2/3, 0, 2
Let f(r) be the first derivative of 15*r**4/16 + 23*r**3/4 - 231*r**2/8 + 147*r/4 - 903. Factor f(p).
3*(p - 1)*(p + 7)*(5*p - 7)/4
Suppose -1872 = 6*b + 168. Let z = b + 1367/4. Factor 0 - 5/4*m**2 - z*m**3 + 1/2*m.
-m*(m + 1)*(7*m - 2)/4
Let c(p) be the third derivative of -p**6/24 + 7*p**5/12 + 725*p**4/24 + 2125*p**3/6 + 704*p**2. Factor c(s).
-5*(s - 17)*(s + 5)**2
Let m = -322 + 967/3. Let p = -1/34 - -71/102. What is a in m*a**2 - p + 1/3*a = 0?
-2, 1
Let f = 11 - -15. Let j = 28 - f. Factor -16 - 9*b**j + 16 + 2*b.
-b*(9*b - 2)
Factor -2/3*j**2 + 692/3 - 114*j.
-2*(j - 2)*(j + 173)/3
Let n(b) be the first derivative of -3*b**5/5 + 51*b**4/4 - 66*b**3 + 108*b**2 - 1081. Suppose n(y) = 0. What is y?
0, 2, 3, 12
Suppose -240 = -13*p + 2*p - 5*r, r + 16 = p. Let u(h) be the first derivative of 0*h - 1/4*h**2 - 1/12*h**3 + p. Factor u(a).
-a*(a + 2)/4
Let v be -4*((-204)/18 + 11). Let u(s) be the first derivative of -12*s - 8*s**2 - 9 - v*s**3. Let u(b) = 0. What is b?
-3, -1
Let u(r) be the third derivative of r**6/40 + 56*r**5/5 + 12317*r**4/8 - 12769*r**3 - 4*r**2 - 6*r - 9. Suppose u(s) = 0. Calculate s.
-113, 2
Suppose 0 = -48*c + 70 + 122. Let a = 12 + -8. Factor -a*m - 5*m**2 - 10 + 6 + c*m**2.
-(m + 2)**2
Let n(p) = -20*p**2 - 300*p - 280. Let c(i) = 4*i**2 + 60*i + 56. Let l be ((-2)/(-4))/(38/(-380)). Let m(y) = l*n(y) - 24*c(y). Find z such that m(z) = 0.
-14, -1
Suppose -281*h + 60*h - 145 + 587 = 0. Suppose -3/2*b**3 - 3/2*b**h + 3*b + 0 = 0. What is b?
-2, 0, 1
Let v(h) be the third derivative of h**8/840 - 37*h**7/525 - 41*h**6/300 + 113*h**5/150 + 2*h**4/3 - 76*h**3/15 + 587*h**2. Find n, given that v(n) = 0.
-2, -1, 1, 38
Let b be ((-56)/(-24) - 2) + (-14)/(-3). Suppose b*j - 4 = 4*j, -4*j = -3*t - 7. Find i such that -4/3*i**2 + 0*i - 2/3*i**t + 0 = 0.
-2, 0
Suppose -47*r + 3355 - 3073 = 0. Find i such that 69/5*i - 3/5*i**3 - r*i**2 - 36/5 = 0.
-12, 1
Let x be (-2)/1 + (-552)/(-92). Suppose -2 = -j + 1. Factor 75*q + 2*q**j - q**x + 0*q**3 - 1 + 2*q**2 - q**5 - 76*q.
-(q - 1)**2*(q + 1)**3
Let t = 790571 + -790569. Factor 69/10*m - 18/5*m**t + 1/10*m**3 - 17/5.
(m - 34)*(m - 1)**2/10
Let u(b) be the second derivative of 1/20*b**5 + 0*b**2 + 13/12*b**4 + 2 - b + 11/3*b**3. Factor u(x).
x*(x + 2)*(x + 11)
Let q(z) = z**3 + 17*z**2 + 37*z + 127. Let k be q(-15). Suppose k + 8 = 6*p. Solve 4/3*c**4 + 28/3*c**3 + 4/3 - 8/3*c**2 - 14/3*c**p - 14/3*c = 0.
-1, 2/7, 1
Let u(s) be the second derivative of s**7/840 - 3*s**6/8 + 405*s**5/8 + s**4/6 - 34*s**2 - 129*s. Let c(w) be the third derivative of u(w). Factor c(k).
3*(k - 45)**2
Let x(k) be the second derivative of k**4/15 + 228*k**3/5 + 272*k**2 + 2*k + 1031. Suppose x(d) = 0. What is d?
-340, -2
Suppose -1179 + 419 = 5*v. Let s be 28/15 + v/(-1140). Find b, given that 6*b**s + 0*b + 0 + 3/4*b**4 - 9/2*b**3 = 0.
0, 2, 4
Let p be (1 + 156/(-26))*(-28)/70. Let 0 + 30/7*h**2 + 2/7*h**4 - p*h**3 - 18/7*h = 0. Calculate h.
0, 1, 3
Determine o so that 2/5*o**2 + 0 + 354/5*o = 0.
-177, 0
Let n(q) be the third derivative of -q**6/120 + 2*q**5/15 + q**4/8 - 7*q**3/2 - 5*q**2 + 38*q. Let h be n(8). Factor 1/2*k - 1/4*k**4 + 1/4*k**2 + 0 - 1/2*k**h.
-k*(k - 1)*(k + 1)*(k + 2)/4
Let d(w) be the second derivative of 50*w**7/21 - 26*w**6/3 + 35*w**5/4 + 35*w**4/12 - 55*w**3/6 + 5*w**2/2 - 2552*w. Solve d(t) = 0 for t.
-1/2, 1/10, 1
Determine g, given that 3/5*g**3 - 762048/5 + 765072/5*g - 3027/5*g**2 = 0.
1, 504
Suppose 4*u = 8*u - 4*z - 100, u - 27 = 3*z. Let q = u + -22. Suppose 2/3*h**3 + 0*h**2 + 0*h + 0 + 4/3*h**4 - q*h**5 = 0. What is h?
-1/3, 0, 1
Solve -3/5*i**2 + 24*i - 117/5 = 0.
1, 39
Let h(l) = l**5 + l**4 + l**2 + 1. Let v(x) = 4*x**5 - 2*x**4 + 7*x**3 + 4*x**2 - 8*x + 7. Let w = -557 - -556. Let s(n) = w*v(n) + 3*h(n). Factor s(c).
-(c - 2)**2*(c - 1)**2*(c + 1)
Let s(f) be the third derivative of 1 + 0*f + 8/3*f**3 - 92*f**2 - 1/420*f**7 - 1/120*f**6 + 1/10*f**5 + 5/6*f**4. Let s(m) = 0. What is m?
-2, 4
Let m(y) be the first derivative of 0*y - 2/25*y**5 + 35 + 2/15*y**3 + 0*y**2 + 1/15*y**6 - 1/10*y**4. Determine t, given that m(t) = 0.
-1, 0, 1
Let d = 906967/3 - 302319. Suppose -5/6*m**2 - 5/2 + d*m = 0. Calculate m.
1, 3
Let h(a) = -a**2 - 162*a - 2334. Let o be h(-16). Suppose -1/8*s**o + 9/4*s - 17/8 = 0. What is s?
1, 17
Let t(a) = -2*a**4 + 40*a**3 - 97*a**2 - 136*a + 24. Let x(w) = -6*w**4 + 122*w**3 - 292*w**2 - 410*w + 80. Let d(b) = 10*t(b) - 3*x(b). Solve d(r) = 0.
-1, 0, 5, 13
Suppose p + 2*y + 5 = 0, 4*p = 6*p - 3*y - 25. Let c(q) be the first derivative of -8*q + 8 - 12*q**3 + 14*q**2 - 4/5*q**p + 5*q**4. Factor c(l).
-4*(l - 2)*(l - 1)**3
Factor -616*h**2 - 228*h**3 - 64*h**3 + 4*h**4 + 1168*h + 1297 + 1103.
4*(h - 75)*(h - 2)*(h + 2)**2
Let n be (9/(-27) - (-46)/48)*(-786)/(-655). Find y, given that n*y**3 - 9 - 12*y - 9/4*y**2 = 0.
-2, -1, 6
Suppose 0*x**2 - 1/4*x**5 + 0 - 4*x**3 + 17/4*x**4 + 0*x = 0. What is x?
0, 1, 16
Factor -936*c**2 - 403637 - 1777892 + 935*c**2 + 2954*c.
-(c - 1477)**2
Let r = -5420/498759 - 2/2883. Let p = 3140/2249 + r. Factor p*y**2 + 2/13 + 20/13*y.
2*(y + 1)*(9*y + 1)/13
Let h(l) be the second derivative of l**7/42 + 109*l**6/150 + 34*l**5/5 + 15*l**4 - 2527*l. Factor h(o).
o**2*(o + 10)**2*(5*o + 9)/5
Let d(m) be the third derivative of m**5/180 + 209*m**4/9 + 349448*m**3/9 + 813*m**2. Factor d(y).
(y + 836)**2/3
Let f(b) be the first derivative of -121*b**3/15 + 7656*b**2/5 - 484416*b/5 - 5904. What is w in f(w) = 0?
696/11
Let z = 1912 + -1020. Determine o so that -9*o + 445*o**2 - 6*o + 444*o**2 - z*o**2 = 0.
-5, 0
Let j be (-25)/32 - 869/(-316). Let i = -39/32 + j. Solve 1/4*a**4 - 1/2 + 1/4*a**2 + 3/4*a**3 - i*a = 0 for a.
-2, -1, 1
Let b(l) = 30*l**2 - 4566*l - 2904. Let h be b(153). Factor -32*k - h - 1/3*k**2.
-(k + 48)**2/3
Let o(u) be the first derivative of -4*u**3/27 + 1688*u**2/9 - 712336*u/9 + 852. Factor o(w).
-4*(w - 422)**2/9
Let t(p) = -12*p - 81. Let h be t(-7). Factor 0*r**3 + 16*r**2 - r - 3*r + 0*r + 4*r**h - 16.
4*(r - 1)*(r + 1)*(r + 4)
Let f(n) = -94*n**2 - 269*n - 83. Let p(g) = -30*g**2 - 90*g - 26. Let s(u) = -4*f(u) + 14*p(u). Let s(k) = 0. What is k?
-4, -2/11
Let j = -205 - -207. Determine a so that -42*a**3 + 170 - 170 - 15*a + 3*a**4 + 57*a**3 - 3*a**j = 0.