). Solve d(q) = 0.
-1, 0, 2
Let d = -1896 + 32264/17. Determine u so that -128/17 - 2/17*u**2 + d*u = 0.
8
Let j(m) be the second derivative of 0*m**2 + 3/20*m**5 + 30*m + 0 + 1/2*m**4 + 0*m**3. Determine t so that j(t) = 0.
-2, 0
Suppose 5*x - 73 = -63. Factor 60*q**3 - 10*q - 10*q**x + 0*q**2 - 7*q**2 + 2*q**2 - 35*q**4.
-5*q*(q - 1)**2*(7*q + 2)
Let a(w) = 2*w + 8. Let m be a(3). Suppose -3*c + 5*q + 37 = 0, 3*c - m = 2*c + 2*q. Let -8*u**3 + 87 - c*u**4 - 87 = 0. What is u?
-2, 0
Let s(h) be the second derivative of 0*h**2 + 0 - 1/50*h**5 + 0*h**3 - 1/30*h**4 - 5*h. Determine a so that s(a) = 0.
-1, 0
Let v(q) be the second derivative of q**7/84 - q**6/10 + 3*q**5/10 - 5*q**4/12 + q**3/4 + 3*q - 167. Determine u, given that v(u) = 0.
0, 1, 3
Suppose -4*f + 3*y = 33, 5*y - 3*y = f + 12. Let z be (-28)/(f - -2) - 4. Let 0*s + 0 + 2/5*s**z - 2/5*s**2 = 0. What is s?
0, 1
Let m be (-60)/(-24) + 1/(-2). Let h = -4 - -6. Determine l, given that -3*l - 3*l**m - 9*l**3 + 18*l**h - 4 + 0*l + 1 = 0.
-1/3, 1
Let i(o) be the third derivative of o**7/3360 + o**6/320 + o**5/80 + o**4/6 - 7*o**2. Let t(a) be the second derivative of i(a). Find l such that t(l) = 0.
-2, -1
Let -60*o**2 + 4/5*o**4 - 104/5 - 92/5*o**3 - 308/5*o = 0. Calculate o.
-1, 26
Let -160/9 + 2/9*q**2 - 76/9*q = 0. What is q?
-2, 40
Let z(d) = 96*d + 290. Let b be z(-3). Factor -5*m - 1/4*m**3 - 4 - 2*m**b.
-(m + 2)**2*(m + 4)/4
Solve 24 + 123*b**3 + 4*b**5 - 34*b**4 - 14*b**5 - 11*b**5 - 23*b**4 - 102*b + 33*b**2 = 0 for b.
-4, -1, 2/7, 1
Find z such that 435*z - 16*z**2 + 2*z**4 + 34 - 484 - 79*z**2 - 15*z**3 + 3*z**4 = 0.
-5, 2, 3
Let n(v) = -v**3 - 14*v**2 + 16*v + 17. Suppose -t = -6*t - 75. Let b be n(t). Factor 16 - k**2 + 3*k**b - k**3 + 4*k - 24.
-(k - 2)**2*(k + 2)
Solve 15/2*g**4 - 1/2*g**5 - 239/2*g**2 + 162 - 27/2*g**3 - 36*g = 0 for g.
-2, 1, 9
Suppose -14 = 3*q - 10*q. Solve -4*i**q - 12*i**4 - 9*i**3 - 4*i**5 + 0*i**3 - 3*i**3 = 0.
-1, 0
Let v(t) be the second derivative of t**6/6 - t**5 - 15*t**4/2 - 50*t**3/3 - 35*t**2/2 + 328*t. Factor v(l).
5*(l - 7)*(l + 1)**3
Let c(o) = -o**5 + o**4 + o**2 - o + 1. Let d(u) = 2*u**5 + 3*u**4 + 5*u**3 + u**2 + u - 1. Let z(t) = 5*c(t) + 5*d(t). Solve z(q) = 0 for q.
-2, -1, 0
Let g(f) be the first derivative of -5*f**3/6 - 15*f**2/4 + 10*f + 142. Suppose g(b) = 0. Calculate b.
-4, 1
Let u(c) be the third derivative of c**5/180 - c**4/3 + 8*c**3 - 319*c**2. Suppose u(w) = 0. Calculate w.
12
Let v(y) be the first derivative of y**6/18 - 29*y**5/15 + 7*y**4/3 - 211. Find m, given that v(m) = 0.
0, 1, 28
Determine h, given that -61/5 + 1/5*h**2 - 12*h = 0.
-1, 61
Let v = 253/580 - 5/58. Let f(p) be the first derivative of 5 + v*p**4 + 0*p**2 + 0*p - 2/15*p**3 + 9/25*p**5. Determine l so that f(l) = 0.
-1, 0, 2/9
Let g(y) = -4*y**3 - 36*y**2 + 3. Let l(q) = 20*q**3 + 180*q**2 - 14. Let f(k) = -14*g(k) - 3*l(k). Factor f(v).
-4*v**2*(v + 9)
Let t(v) be the second derivative of 3*v**6/35 - 11*v**5/70 - 17*v**4/21 + 44*v**3/21 - 8*v**2/7 - 600*v. What is y in t(y) = 0?
-2, 2/9, 1, 2
Let d(g) be the first derivative of g**7/1155 + g**6/330 - g**5/110 + 23*g**2/2 + 13. Let w(z) be the second derivative of d(z). Let w(i) = 0. What is i?
-3, 0, 1
Let n = -1855 - -1855. Let d(b) be the third derivative of -1/20*b**5 + 0*b + 11*b**2 + n - 2*b**3 + 1/2*b**4. Factor d(w).
-3*(w - 2)**2
Suppose -3*k - 5*b + 2*b - 3 = 0, 4*k + 2*b = 4. Suppose s + 47 = 3*s + k*g, s - 3*g = 1. Determine d so that -7*d**2 + 9*d - 6*d**2 + 6 + s*d**2 = 0.
-2, -1
Let f(v) be the first derivative of -5*v**4/18 - 268*v**3/9 - 2720*v**2/3 - 6400*v/9 - 38. Let f(j) = 0. Calculate j.
-40, -2/5
Let x(b) be the first derivative of -3 + 7/2*b**2 + 1/12*b**3 + 1/48*b**4 + 0*b + 1/480*b**5. Let w(h) be the second derivative of x(h). Factor w(k).
(k + 2)**2/8
Find o such that -484/5*o - 2/5*o**2 - 482/5 = 0.
-241, -1
Let q be (12/(-15))/((-26)/195). Let r(m) be the first derivative of 1/4*m**q - 5 + m**3 - 3/10*m**5 - 3/4*m**4 + 3/4*m**2 - 3/2*m. Factor r(y).
3*(y - 1)**3*(y + 1)**2/2
Let g be (-21)/2*114/(-171). Find y, given that -25/6*y - g*y**2 - 2/3 - 3/2*y**3 = 0.
-4, -1/3
Let j(m) = -13*m**2 - 5*m. Let a be j(-2). Let t be ((-63)/a)/((-27)/(-48)*1). Factor 2/3*v**2 - 10/3*v + t.
2*(v - 4)*(v - 1)/3
Solve -42*n**2 + 36/5*n**4 - 3/5*n**5 + 150 + 135*n - 96/5*n**3 = 0.
-2, -1, 5
Determine a so that 7*a**3 + a + 3*a**3 - 10*a - 4 - 6*a**2 - 21*a**3 + 10*a**3 = 0.
-4, -1
Let a = -8 - -43. Let g be (-12)/(-20) - (0 + 11/a). Determine x, given that 2/7*x**2 + g*x**4 + 4/7*x**3 + 0*x + 0 = 0.
-1, 0
Let d(w) be the third derivative of w**6/120 - 7*w**5/12 + 323*w**4/24 - 289*w**3/6 + 7*w**2 + 6. Factor d(h).
(h - 17)**2*(h - 1)
Suppose 35 = 4*s - 3*t, -130*s + 132*s = 3*t + 25. Let q(a) be the first derivative of 1/4*a**4 - 1/3*a**3 + 0*a + 1/5*a**s + 1 - 1/2*a**2. Factor q(b).
b*(b - 1)*(b + 1)**2
Let l(f) be the third derivative of -15*f**6/8 + 7*f**5/4 + 5*f**4/24 - 5*f**3/6 + 2*f**2 + 5*f. Factor l(k).
-5*(3*k - 1)**2*(5*k + 1)
Let r(v) be the third derivative of -v**7/3360 + v**6/288 - v**5/120 - 5*v**3/3 + 10*v**2. Let s(u) be the first derivative of r(u). Factor s(p).
-p*(p - 4)*(p - 1)/4
Let s(q) be the first derivative of 1/9*q**3 + 18 + 4/3*q - 5/6*q**2. Factor s(l).
(l - 4)*(l - 1)/3
Suppose -4 + 1216*d**4 - 1218*d**4 - 46*d**2 + 16*d**3 + 56*d - 20 = 0. What is d?
1, 2, 3
Determine z so that 0*z + 0*z**2 + 0 - 1/5*z**3 = 0.
0
Let g be (-15)/(-4) + 15/(-20). Let c(m) = m**2 + 3*m + 3. Let x be c(-3). Factor g*r**3 + r - x*r - r + 0*r.
3*r*(r - 1)*(r + 1)
Find f, given that 100/3*f**2 + 0*f + 0 + 1/3*f**4 - 20/3*f**3 = 0.
0, 10
Suppose 9 = q + f - 0*f, -3*f = -q + 17. Let l = 13 - q. Factor 2*o**3 - o + 5*o**2 - o + o**2 - 8*o**3 + l*o**4.
2*o*(o - 1)**3
Let 9/2 - 3*d + 3/8*d**3 - 3/8*d**2 = 0. What is d?
-3, 2
Factor 0 + 2/15*l**2 - 4/15*l.
2*l*(l - 2)/15
Suppose -11200*k**2 - 8*k**4 - 14 + 11206*k**2 - 28*k**3 - 28*k**3 + 40*k = 0. What is k?
-7, -1, 1/2
Let z(i) be the first derivative of -1/6*i**6 + 0*i + 0*i**3 + 0*i**2 + 1/4*i**5 - 11 - 1/16*i**4. Factor z(t).
-t**3*(t - 1)*(4*t - 1)/4
Let r(a) = a**2 - 1. Let k be r(-5). Let i be (20/6)/(16/k). Find w, given that -2*w**2 - 2*w**i + w**2 + 3*w**2 - 6*w**2 + 4*w**4 + 2*w**3 = 0.
-1, 0, 1, 2
Let i(q) be the third derivative of q**8/1344 - q**6/160 + q**5/120 + 138*q**2. Factor i(v).
v**2*(v - 1)**2*(v + 2)/4
Let i(a) be the third derivative of -a**10/50400 + a**9/6720 - a**5/6 - 33*a**2. Let s(n) be the third derivative of i(n). Find j such that s(j) = 0.
0, 3
Let m be -5*(-8)/(-200)*-10. Let h(s) be the first derivative of 2/21*s**3 + 0*s + m + 1/7*s**2. Factor h(p).
2*p*(p + 1)/7
Solve 3*p - 1/8*p**3 - 3/8*p**2 - 7/2 = 0.
-7, 2
Factor -334*t**2 + 30 + 16*t + 114*t**2 + 112*t**2 + 110*t**2.
2*(t + 3)*(t + 5)
Suppose 0*p + 3*p = -2*w - 1, -22 = -4*w + 2*p. Factor 10*r**3 + 258*r**w - 263*r**4 + 2*r**5 - 7*r**5.
-5*r**3*(r - 1)*(r + 2)
Let p = -5617/7 - -803. Let 2/7*s - p - 2/7*s**3 + 4/7*s**2 = 0. Calculate s.
-1, 1, 2
Factor 613 + 17*y**2 - 34*y - 19*y**2 - 645.
-2*(y + 1)*(y + 16)
Let s(w) be the first derivative of -5*w**3/3 - 225*w**2 - 10125*w - 359. Factor s(i).
-5*(i + 45)**2
Let v(k) = -16*k**2 + 231*k - 7945. Let u(t) = 7*t**2 - 117*t + 3972. Let y(c) = 7*u(c) + 3*v(c). What is q in y(q) = 0?
63
What is o in -3*o**2 + 54 - 17 - 15 - 38*o - 22 = 0?
-38/3, 0
Factor m**2 + 19 - 3*m - 5 - 7 - 5.
(m - 2)*(m - 1)
Let d = -285598/17 + 16800. Factor d*z**2 + 2/17*z**4 + 0 + 4/17*z**3 + 0*z.
2*z**2*(z + 1)**2/17
Factor -o**2 - 48 - 6*o + o + 5*o**2 + 49*o.
4*(o - 1)*(o + 12)
Let u = -3 - -5. Suppose -4*c**2 + 2*c - 4*c**2 + 6*c**u = 0. What is c?
0, 1
Let v(h) be the second derivative of 7/60*h**4 + 0 + 0*h**2 + 10*h + 1/15*h**3 - 1/20*h**5 - 2/75*h**6. Determine f so that v(f) = 0.
-2, -1/4, 0, 1
Factor 2*k**4 + 7/8*k**5 + 1/2*k**3 - 7/4*k**2 - 11/8*k - 1/4.
(k - 1)*(k + 1)**3*(7*k + 2)/8
Let r be -6*(1 - 0)*-1. Let n(k) = k**4 + 21*k**3 - 5*k**2 - 9*k + 16. Let w(z) = -87 - z**4 - z**3 - z + 45 + 41. Let m(p) = r*w(p) + n(p). Factor m(t).
-5*(t - 2)*(t - 1)**2*(t + 1)
Solve -16/9 - 10/9*s**3 + 40/9*s + 4/9*s**2 = 0.
-2, 2/5, 2
Let k(h) = h**3 + 7*h**2 + 4. Let s be k(-7). Suppose 40 = x - 3*q, -4*x - s*q + 90 