- 2. Suppose -2*q + d + 3 = 0. Let 3*v**5 - 5*v**5 - v**2 + v**q + v**5 - 3*v**4 - 4*v**3 = 0. What is v?
-1, 0
Let o(b) = 54*b**3 + 39*b**2 + 75*b - 193. Let c(h) = 13*h**3 + 10*h**2 + 19*h - 48. Let r(y) = -25*c(y) + 6*o(y). Solve r(u) = 0.
-14, -3, 1
Let u(p) be the second derivative of -1/60*p**5 + 0 - 2*p + 1/12*p**4 + 0*p**3 - 2*p**2. Let v(s) be the first derivative of u(s). Factor v(d).
-d*(d - 2)
Suppose 4*v + 5 = 5*i, -4*i = v + 4*v - 45. Let a(x) = x - 5. Let o be a(i). Suppose 0*p - p**3 + 0*p**2 + o + 7/2*p**4 = 0. Calculate p.
0, 2/7
Factor 2*x + 4/3*x**3 - 6*x**2 + 8/3.
2*(x - 4)*(x - 1)*(2*x + 1)/3
Let f(a) be the first derivative of -2*a**3/3 - 23*a**2 + 48*a + 501. Factor f(q).
-2*(q - 1)*(q + 24)
Let l be ((-15)/10 + 2)/(50/60). Factor -1/5*d**4 + 2/5 + d + l*d**2 - 1/5*d**3.
-(d - 2)*(d + 1)**3/5
Let n = 12734/9537 - 6/3179. Determine q so that -10/3*q**3 + n*q**4 + 8/3*q**2 + 0 - 2/3*q = 0.
0, 1/2, 1
Let c be -7*(-16)/28 - 4. Let b(g) be the third derivative of -1/300*g**5 + c*g + 7*g**2 - 3/10*g**3 + 1/20*g**4 + 0. Factor b(q).
-(q - 3)**2/5
Suppose 31214 - 3*k**3 - 31214 - 69*k**2 = 0. What is k?
-23, 0
Let s = -2947 + 5895/2. Factor 3/2*k + 1/2 + s*k**3 + 3/2*k**2.
(k + 1)**3/2
Let m(y) be the first derivative of -4/15*y**5 + 52 - 4/3*y**2 + 4/9*y**3 + 2/3*y**4 + 0*y. Factor m(t).
-4*t*(t - 2)*(t - 1)*(t + 1)/3
Let p(t) be the third derivative of -t**6/1800 + t**5/600 + t**4/60 + 8*t**3/3 + 16*t**2. Let s(i) be the first derivative of p(i). Factor s(x).
-(x - 2)*(x + 1)/5
Let h = 48 + -45. Suppose -q - 4*g = -18, -h*g + 5*g - 10 = -q. Suppose 0*f - 2*f**4 + 2/3*f**5 - 2/3*f**2 + 0 + q*f**3 = 0. Calculate f.
0, 1
Let b(x) be the third derivative of x**6/420 - 88*x**5/105 + 349*x**4/84 - 58*x**3/7 + 658*x**2. Factor b(o).
2*(o - 174)*(o - 1)**2/7
Find o, given that 2/5*o**2 - 18/5 + 16/5*o = 0.
-9, 1
Suppose -2*u + 21 = 5. Let -m**4 + m**2 + 7*m - 3*m**3 + u*m**2 + 8*m - 2*m**4 + 6 = 0. What is m?
-1, 2
Suppose -2/3*a**3 + 18*a - 16*a**2 + 100/3 = 0. Calculate a.
-25, -1, 2
Let x = -87 - -104. Let d = -13 + x. Suppose 3/2*v**3 + 0 - 3/4*v**d + 0*v - 3/4*v**2 = 0. Calculate v.
0, 1
Let y(g) = 4*g**2 - 3*g + 9. Let a(z) = -5*z**2 + 3*z - 10. Let o(u) = 5*a(u) + 6*y(u). Let n(q) = 2*q**2 + 7*q - 9. Let c(l) = -4*n(l) - 9*o(l). Factor c(w).
w*(w - 1)
Let u(z) be the first derivative of 2/15*z**6 - 4 + 0*z**3 + 2*z**2 + 4*z - 2/3*z**4 + 0*z**5. Let q(a) be the first derivative of u(a). Solve q(f) = 0 for f.
-1, 1
Suppose 58 - 7 = 3*l. Let c = -16 + l. Suppose -6 - 15*t**2 + t**3 + 17*t**2 - 3 - 4*t + c = 0. What is t?
-2, 2
Factor -1094*o**2 + 106*o - 40*o**3 - 528 + 115*o**3 - 596*o**2 - 1550*o**2 - 2734*o.
3*(o - 44)*(5*o + 2)**2
Let s = -32/65 - -35/13. Factor s*y**2 - 7*y - 1/5*y**3 + 5.
-(y - 5)**2*(y - 1)/5
Suppose -2*w + h - 7 = -6, -2*w + 9 = h. Let t = -37 - -37. Factor t + 2/5*b**4 + 6/5*b**2 + 2/5*b**5 + 0*b - w*b**3.
2*b**2*(b - 1)**2*(b + 3)/5
Determine r, given that -5*r**3 + 5189*r**2 + 5*r - 5189*r**2 = 0.
-1, 0, 1
Let f = -15 + 76/5. Let o be (-5 - -6) + 4/(-5). Factor f*j**2 + 0 + 1/5*j**3 - 1/5*j - o*j**4.
-j*(j - 1)**2*(j + 1)/5
Let g(x) = -x**2 - 11*x - 6. Let u be g(-10). Determine y, given that -10*y + 9*y + 3 - 2*y**2 - u*y = 0.
-3, 1/2
Let q(v) = -v**2 + 8*v + 2. Let t be q(8). Find a such that -2*a**t - 14*a + 17*a - a**2 = 0.
0, 1
Let t(h) be the third derivative of -h**6/540 + h**5/180 - 3*h**3/2 + 5*h**2. Let n(j) be the first derivative of t(j). Let n(i) = 0. Calculate i.
0, 1
Factor -349*c**2 - 5*c + 50 - 146 - 37*c + 352*c**2.
3*(c - 16)*(c + 2)
Let k(l) be the second derivative of -5*l**9/12096 + l**7/336 - l**5/96 + 9*l**3/2 + 15*l. Let w(b) be the second derivative of k(b). Factor w(r).
-5*r*(r - 1)**2*(r + 1)**2/4
Suppose -x - 2 + 3 = -2*l, -x = -3*l + 1. Let r(y) = y**3 + 4*y**2 - 2*y. Let c(k) = -3*k**2 + 3*k. Let j(g) = x*c(g) + 6*r(g). Factor j(n).
3*n*(n + 1)*(2*n + 1)
Let c(y) be the first derivative of 0*y**4 + 0*y + 32 + 2*y**2 - 2/3*y**6 - 8/3*y**3 + 8/5*y**5. Factor c(k).
-4*k*(k - 1)**3*(k + 1)
Let d be ((-342)/(-96))/19*(-8)/(-6). Let t(l) be the first derivative of d*l**3 + 0*l + 3/16*l**4 - 11 - 3/4*l**2. Factor t(i).
3*i*(i - 1)*(i + 2)/4
Suppose -22 = -5*w + x, 29*w - 31*w + x + 10 = 0. Let z(g) be the second derivative of 4*g - 1/120*g**5 - 1/12*g**3 + 0 - 1/12*g**2 - 1/24*g**w. Factor z(p).
-(p + 1)**3/6
Solve 112/3*r + 2/3*r**4 - 4*r**3 - 2*r**2 - 32 = 0 for r.
-3, 1, 4
Factor -128/23*h - 2/23*h**2 - 126/23.
-2*(h + 1)*(h + 63)/23
Determine m so that -19*m + 2*m + 5*m**2 - 41*m - 12*m - 75 = 0.
-1, 15
Let f(m) = 5*m**2 + 212*m - 228. Let h(d) = 3*d**2 + 105*d - 114. Let o(a) = 6*f(a) - 11*h(a). Find u such that o(u) = 0.
1, 38
Let -821*l**2 - l - 815*l**2 + l**3 + 1633*l**2 + 3 = 0. What is l?
-1, 1, 3
Let u(w) be the third derivative of 0 + 0*w**3 - 1/70*w**5 + 0*w + 0*w**4 - 6*w**2 - 1/420*w**6. Find b such that u(b) = 0.
-3, 0
Let q(m) be the third derivative of m**8/1008 - m**7/630 - m**6/120 + m**5/36 - m**4/36 + 17*m**2. Factor q(y).
y*(y - 1)**3*(y + 2)/3
Let f = 52 + -674/13. Factor -6/13*y + 6/13*y**4 + 2/13*y**5 - f - 4/13*y**2 + 4/13*y**3.
2*(y - 1)*(y + 1)**4/13
Let a(z) be the first derivative of -3/8*z**2 + 0*z - 3 - 1/12*z**3. Factor a(o).
-o*(o + 3)/4
Let u(m) be the first derivative of 2/21*m**6 - 4/7*m**2 - 12/35*m**5 + 4/7*m**3 + 0*m + 12 + 1/7*m**4. Find v, given that u(v) = 0.
-1, 0, 1, 2
Let f(c) = -c**2 - 6*c + 2. Let v = 9 + -11. Let u(o) = o**2 + o + 1. Let k = 1 - 2. Let d(i) = k*f(i) + v*u(i). Solve d(x) = 0 for x.
2
Suppose -3*x - 4 + 7 = 0. Suppose -x = -l - 2*d - 3, -l + 2 = -2*d. Find t such that -2/7*t**2 + 3/7*t + 1/7*t**5 + l*t**4 + 2/7 - 4/7*t**3 = 0.
-1, 1, 2
Let p(c) be the third derivative of -1/60*c**4 + 1/300*c**6 + 0*c**3 + 1/150*c**5 + 0 - 1/525*c**7 + 0*c + 12*c**2. Factor p(g).
-2*g*(g - 1)**2*(g + 1)/5
Let x = 29 - 47. Let k be 50/x + 4 + -1. Suppose -k*h**2 - 8/9*h + 2/9 + 8/9*h**3 = 0. What is h?
-1, 1/4, 1
Let i = -10 - -20. Let n(z) = z**3 - 3*z**2 + 2. Let v be n(3). Suppose -4*w + v*w + 6*w - i*w**3 + 10*w**2 + 6*w**5 - 10*w**4 = 0. What is w?
-1, -1/3, 0, 1, 2
Let j be (-4)/((-56)/78) + -3 + -2. Determine f, given that 0*f + j*f**2 - 16/7 = 0.
-2, 2
Suppose -13*z + 30 = -48. Solve -z*t**2 - 2*t + 2*t**2 + 0*t - 4*t**3 + 2*t**3 = 0 for t.
-1, 0
Let t(u) be the first derivative of -u**6/2340 + u**5/390 + 5*u**3 + 22. Let d(r) be the third derivative of t(r). Let d(w) = 0. What is w?
0, 2
Find j, given that -36*j - 72 - 4*j**2 - 21*j**2 + 21*j**2 = 0.
-6, -3
Let 8*k**2 + 5*k + 5*k - 3*k + k**3 = 0. Calculate k.
-7, -1, 0
Factor 50/3*q**3 + 352/3*q - 128/3 - 280/3*q**2.
2*(q - 4)*(5*q - 4)**2/3
Let b(l) be the third derivative of -l**8/10080 - l**7/840 + l**6/90 + l**5/6 - 2*l**2. Let v(w) be the third derivative of b(w). What is d in v(d) = 0?
-4, 1
Factor 3/2*l**4 + 3/2 - 3*l**2 + 0*l + 0*l**3.
3*(l - 1)**2*(l + 1)**2/2
Suppose -75*y + 71*y = -21744. Let b be 6/51*-1 + y/1989. Factor -12/13*z**4 - 6/13*z + 2/13 - 30/13*z**2 - b*z**3.
-2*(z + 1)**3*(6*z - 1)/13
Let g be -3 + -1 + 357/51. Solve -4/7*k**2 + 4/7*k**g + 4/7 - 4/7*k = 0 for k.
-1, 1
Let n(d) be the third derivative of -d**8/47040 - d**7/2940 + d**5/15 - 21*d**2. Let b(p) be the third derivative of n(p). Determine r so that b(r) = 0.
-4, 0
Let j(i) = i**3 + 3*i**2 - 3*i - 8. Let l be j(-3). Let h be l*0*(-1 + 2). Factor 4/7*y**2 + h*y - 2/7*y**4 + 0 + 2/7*y**3.
-2*y**2*(y - 2)*(y + 1)/7
Solve 0*y + 1/3*y**3 + 7/3*y**2 - 4/3 - y**4 - 1/3*y**5 = 0.
-2, -1, 1
Let h(k) = -2*k**2 - 10*k + 3. Let i be h(-5). Find u, given that -13*u - 125*u**2 - 137*u - i*u**2 + 3*u**2 - 45 = 0.
-3/5
Let t(i) be the second derivative of -i**6/90 + i**5/30 + 11*i**4/36 - 2*i**3/3 - 6*i**2 + 31*i. Find g, given that t(g) = 0.
-2, 3
Let w be 8/1200 - -9 - 9. Let u(h) be the third derivative of 0*h - w*h**5 + 8*h**2 + 0*h**3 - 1/300*h**6 + 0 + 0*h**4. Let u(r) = 0. What is r?
-1, 0
Suppose 3*a = -3*v - v + 49, -77 = -5*a - 2*v. Let t be ((-14)/(-105))/((-1)/a*-3). Factor -t*s**2 + 2/3*s**4 + 0 + 4/3*s - 4/3*s**3.
2*s*(s - 2)*(s - 1)*(s + 1)/3
Let j(h) be the third derivative of -h**5/30 - 7*h**4/12 - 7*h**2. Factor j(t).
-2*t*(t + 7)
Let f(g) = -g**4 + g**2 + g. Let v(b) = 5*b**5 + 25*