ppose j(t) = 0. Calculate t.
-1, 0, 1, 2
Let r(u) = 2*u**2 + 32*u + 58. Let g be r(-14). Determine d so that -2/3*d + 0 + 0*d**g + 2/3*d**3 = 0.
-1, 0, 1
Let l(q) be the first derivative of 0*q**2 + 2/3*q**3 - 8*q - 21. Factor l(u).
2*(u - 2)*(u + 2)
Suppose -2*m = 3*m - 10. Suppose u - 5 = -m. Determine a, given that a - a - 4*a**2 + 4*a**u = 0.
0, 1
Factor 5*p + 6 - 44 - 5*p**3 + 80*p**2 - 41 - 1.
-5*(p - 16)*(p - 1)*(p + 1)
Let y(x) = x**3 + 19*x**2 + 6. Suppose -4*z - 4 = -4*b, -5*b - 5 = 5*z + 10. Let k(h) = -h**3 + h**2 - 1. Let j(d) = b*y(d) - 6*k(d). Factor j(w).
5*w**2*(w - 5)
Let b(y) be the first derivative of -y**4 + 4*y**3/3 + 2*y**2 - 4*y + 103. Find h, given that b(h) = 0.
-1, 1
Let q(l) be the first derivative of -10 + 2/105*l**5 + 0*l**4 + 0*l**2 - 2/63*l**3 + 0*l. Find m, given that q(m) = 0.
-1, 0, 1
Factor -26*i + 146*i + 8*i**2 + 116 - 4*i**2.
4*(i + 1)*(i + 29)
Suppose -2*p + 5 = -2*q - 5, 2*q + 4 = -4*p. Let z(b) be the first derivative of -2/5*b + 1/10*b**2 + 3/5*b**3 - p - 13/20*b**4 + 1/5*b**5. Factor z(c).
(c - 1)**3*(5*c + 2)/5
Let m be ((-2)/120)/(-2 - (1 - 2)). Let n(b) be the third derivative of -m*b**5 + 0*b + 0 + 0*b**4 + 0*b**3 - 2*b**2 - 1/120*b**6. Factor n(x).
-x**2*(x + 1)
Let y(v) be the second derivative of v**4/72 - 55*v**3/18 + 3025*v**2/12 - v - 142. Let y(o) = 0. What is o?
55
Let v(n) = 3*n**4 + 3*n**3 + 2*n**2 + 4*n. Let t(i) = 16*i**4 + 14*i**3 + 11*i**2 + 22*i. Let m(q) = 6*t(q) - 33*v(q). Factor m(j).
-3*j**3*(j + 5)
Let f be 0/(14*(-1)/(-2) + -6). Let k(v) be the second derivative of 5*v + f - v**3 + 0*v**2 + 3/20*v**5 - 1/4*v**4. Let k(w) = 0. What is w?
-1, 0, 2
Let k(u) = u**3 - 9*u**2 + 2*u - 15. Let y be k(9). Suppose 12/5*w**2 + 3/5*w**3 + y*w + 6/5 = 0. Calculate w.
-2, -1
Let u(b) be the second derivative of 0*b**2 + 2*b - 8/27*b**3 + 0 - 1/27*b**4. Factor u(x).
-4*x*(x + 4)/9
Suppose -42*a + 12 = -114. Let r(j) be the second derivative of 0*j**4 + 3/20*j**5 - 3/2*j**a - 6*j + 0 + 3*j**2. What is h in r(h) = 0?
-2, 1
Let z(w) = 23*w**2 - 140*w - 120. Let d(m) = -45*m**2 + 285*m + 240. Let k(f) = 2*d(f) + 5*z(f). Factor k(i).
5*(i - 6)*(5*i + 4)
Let s(r) be the third derivative of r**9/30240 + r**8/6720 - r**6/720 - r**5/240 + 5*r**4/8 - 12*r**2. Let d(a) be the second derivative of s(a). Factor d(x).
(x - 1)*(x + 1)**3/2
Find v such that -49 - 34*v**3 + 13*v**2 + 71*v**3 - 35*v - 38*v**3 = 0.
-1, 7
Factor 168*g - 50*g**3 + 144 + 9*g**2 - 36*g**3 + 68*g**3 - 3*g**4.
-3*(g - 3)*(g + 1)*(g + 4)**2
Let h(m) = -10*m**3 - 75*m**2 + 305*m - 55. Let a(q) = -q**3 + 2*q**2 + q + 1. Let i(b) = 25*a(b) - h(b). Let i(u) = 0. Calculate u.
1/3, 4
Let p be ((-2)/(-10))/((-18)/(-15)). Let x(f) be the first derivative of 2/9*f**3 + 8 + 0*f**2 + p*f**4 + 0*f. Determine c, given that x(c) = 0.
-1, 0
Let i(q) be the second derivative of q**5/5 + 5*q**4 - 32*q**3/3 - 86*q. Factor i(j).
4*j*(j - 1)*(j + 16)
Let k(b) be the first derivative of 3*b**4/4 + 32*b**3/9 + 10*b**2/3 - 16*b/3 + 495. Factor k(i).
(i + 2)**2*(9*i - 4)/3
Let n be 82/(-3157)*55*(-21)/8. Suppose 3/4*h**2 + 9/2*h + n = 0. Calculate h.
-5, -1
Suppose 0 = 4*h + 5*b + 416, 2*b + 12 = -b. Let n = -94 - h. Solve -7/2*t**4 + 3/2*t**n - 1/2*t**3 + 7/2*t**2 - t + 0 = 0 for t.
-1, 0, 1/3, 1, 2
Let j be 4/(-14) - (12016/1456 + -9). Factor -2/13*d**3 + 10/13*d**2 - 18/13 - j*d.
-2*(d - 3)**2*(d + 1)/13
Let o(d) = d. Let h(z) = 3*z - 3. Let r(k) = h(k) - 2*o(k). Let i be r(6). Let -24/5*w - 12/5 + i*w**2 = 0. What is w?
-2/5, 2
Let k(f) = -2*f**4 + 22*f**3 + 3*f. Let g(w) = w**4 - 23*w**3 - 2*w. Let t(h) = 6*g(h) + 4*k(h). Solve t(y) = 0 for y.
-25, 0
Let b(l) = -l**2 + l + 2. Let w(h) = 6*h**2 - 23*h - 42. Let s(v) = 35*b(v) + 5*w(v). What is g in s(g) = 0?
-14, -2
Let p be (-2)/(24/980) - 2. Let d = -81 - p. Determine x, given that d + 0*x + 2/3*x**3 - 2*x**2 = 0.
-1, 2
Let q(w) be the first derivative of -1/6*w**4 + 1/3*w**2 + 2/27*w**3 + 9 - 2/9*w. Factor q(t).
-2*(t - 1)*(t + 1)*(3*t - 1)/9
Let -20 - 34/3*a + 22/9*a**4 + 190/9*a**2 + 134/9*a**3 = 0. Calculate a.
-3, -1, 10/11
Suppose -5*p + 14 = -4*b + 1, b = 2*p - 7. Factor -1/9*g**5 + 0*g**2 - 2/9*g**b + 0*g - 1/3*g**4 + 0.
-g**3*(g + 1)*(g + 2)/9
Let q = 18/49 - -142/147. Solve -1/3*j**2 - q - 4/3*j = 0.
-2
Let o(z) = z + 10. Let i be o(-8). Suppose -4*x = t - 13, 3*x - i*t + t = 8. Suppose j**4 - j + 2 + 6*j**x + 2*j**3 - 7*j**3 - 2*j**2 - j**2 = 0. What is j?
-2, -1, 1
Suppose -3/5*c**5 + 134/5*c**2 - 5 - 126/5*c**3 + 7*c**4 - 3*c = 0. Calculate c.
-1/3, 1, 5
Let v(w) be the second derivative of -1/6*w**4 + 2/9*w**3 - 1/9*w**2 + 0 + 9*w. Suppose v(m) = 0. Calculate m.
1/3
Suppose 0 = -17*b + 21*b - 12. Suppose 4*m**3 - 44*m**4 + m**5 + b*m - 3*m + 40*m**4 = 0. Calculate m.
0, 2
Suppose 0 = i + 2 - 4. Factor -13*b**3 - 5*b**2 + 4*b**i + 12*b**3.
-b**2*(b + 1)
Let w be 2/4 - 134/288. Let y = 3/16 + w. Factor -2/9*l**2 + 0*l + 0 - y*l**3.
-2*l**2*(l + 1)/9
Let z(f) be the second derivative of 7/12*f**3 + 0 - 1/60*f**6 - 1/2*f**2 + 1/8*f**5 + 10*f - 3/8*f**4. Let z(w) = 0. What is w?
1, 2
Let g(v) = -v**3 + 3*v**2 - v - 1. Let j(l) = l**4 + 5*l**3 - 49*l**2 + 13*l + 30. Let c(u) = 18*g(u) + 2*j(u). Find w such that c(w) = 0.
-3, -1, 1, 7
Let m(g) be the second derivative of 4*g**6/15 - 7*g**5/10 - g**4 + 7*g**3/3 + 2*g**2 + 2*g + 3. Suppose m(w) = 0. Calculate w.
-1, -1/4, 1, 2
Let o(w) be the second derivative of 363*w**4/26 - 44*w**3/13 + 4*w**2/13 + 171*w. Suppose o(h) = 0. Calculate h.
2/33
Suppose 5*c - 3*q = 19, 2*q = 2*c + 6*q - 18. Suppose -c*b + 10 = -y, 3*b + y = -b + 8. Factor 6*w**3 - 3*w**3 + 3*w**2 - w**b - 5*w**3.
-2*w**2*(w - 1)
Factor 4*j**3 - 1385*j**2 + 59*j - 3*j**3 + 1400*j**2 + 45.
(j + 1)*(j + 5)*(j + 9)
Let a(r) = 2*r**5 + 4*r**4 - 5*r**3 + r**2 - 2*r + 5. Let x(z) = z**5 + 2*z**4 - 2*z**3 - z + 2. Let n = 5 + 10. Let o(k) = n*x(k) - 6*a(k). Factor o(t).
3*t*(t - 1)*(t + 1)**3
Let -4/3*m**5 - 68/3*m**2 - 68/3*m**3 + 0 - 28/3*m**4 - 8*m = 0. What is m?
-3, -2, -1, 0
Solve 15*n**3 - 36*n**2 + 12*n + 137 + 140 - 277 = 0 for n.
0, 2/5, 2
Let g(f) = 2*f - 2. Let a be g(1). Suppose 30*i - 33*i = a. Determine r, given that -1/2*r + 1/2*r**2 + i = 0.
0, 1
Let n(s) be the third derivative of s**11/66528 - s**9/12096 - s**5/4 - 3*s**2. Let i(h) be the third derivative of n(h). Determine z so that i(z) = 0.
-1, 0, 1
Factor -2/17*j**2 + 20/17 + 6/17*j.
-2*(j - 5)*(j + 2)/17
Factor -4/17*l**2 + 0 + 0*l + 14/17*l**4 - 26/17*l**3.
2*l**2*(l - 2)*(7*l + 1)/17
Factor 1/5*o**2 + 4/5 - 4/5*o.
(o - 2)**2/5
Let r(u) be the second derivative of -3/2*u**2 + 0 - 4*u + 3*u**3 + 7/4*u**4. Factor r(l).
3*(l + 1)*(7*l - 1)
Suppose -2*k + 2 = 2. Suppose k = -6*n + 5 - 5. Find a such that -2/3*a - 2/3*a**5 + 0 + n*a**4 + 4/3*a**3 + 0*a**2 = 0.
-1, 0, 1
Let r(b) = 3*b**3 + 36*b**2 + 33*b - 50. Let s(h) = -2*h**3 - 18*h**2 - 16*h + 30. Let p(x) = 3*r(x) + 5*s(x). Factor p(t).
-t*(t - 19)*(t + 1)
Let s(m) be the first derivative of -m**3/12 + 7*m**2/4 + 15*m/4 - 21. Factor s(w).
-(w - 15)*(w + 1)/4
Let r(f) be the third derivative of -f**10/982800 + f**8/65520 - f**6/4680 - 31*f**5/60 + 25*f**2. Let u(v) be the third derivative of r(v). Factor u(h).
-2*(h - 1)**2*(h + 1)**2/13
Let j(d) be the second derivative of d**6/24 - 13*d**5/80 + d**4/8 - 187*d. Let j(m) = 0. Calculate m.
0, 3/5, 2
Let n(p) be the first derivative of p**4 + 92*p**3/3 + 963. Factor n(v).
4*v**2*(v + 23)
Suppose -9*z = -14*z + h + 7, 5*z - 13 = 4*h. Let r be 12/60 + z/(-3)*0. Find i such that 0 + r*i**2 - 1/5*i = 0.
0, 1
Let j(p) = 3*p**2 - 44*p - 676. Let a(r) = -5*r**2 + 90*r + 1352. Let y(z) = -4*a(z) - 7*j(z). Factor y(f).
-(f + 26)**2
Suppose -8*r = -12*r + 12. Factor 4*k**3 + 17*k**3 - 6 - k**4 + 17*k - 14*k**r - 17*k**2.
-(k - 3)*(k - 2)*(k - 1)**2
Let h(c) = c**3 + c**2 + c. Let x(s) = -2*s**3 - 13*s**2 - 12*s. Let m(t) = 3*h(t) + 3*x(t). Factor m(q).
-3*q*(q + 1)*(q + 11)
Suppose -s - 1209 = 3*f - 1196, 0 = 5*s - 4*f - 30. Suppose 0 + 2/3*d**4 - 8/3*d**3 + 2/3*d**s + 4*d = 0. What is d?
-1, 0, 2, 3
Suppose -8 = -3*p - p. Let i = 5 - 5. What is a in -p*a**2 - 3*a + i - 4*a - 8 - a = 0?
-2
Let p be ((-4)/10)/((-10)/(-250)). Let v be (-6)/p*(6 + -1). What is u in u - 2*u**v + 6*u**3 - 3*u**3 + 2*u**2 = 0?
-1, 0
Let z(r) be 