d) be the first derivative of d**4/3 - 10*d**3/3 + 12*d**2 - 30*d + 13. Let c(k) be the first derivative of i(k). Factor c(l).
4*(l - 3)*(l - 2)
Let r(m) be the third derivative of m**6/600 - m**5/100 + m**4/60 - 4*m**2 - 3. Factor r(t).
t*(t - 2)*(t - 1)/5
Let l be (-32)/(-18) + 4/18. Suppose -3*m = -l - 7. What is v in v**4 - 4*v**4 + 3*v**2 - 6*v**m + 4*v**4 + 2*v**4 = 0?
0, 1
Let h(d) be the third derivative of -d**7/945 - 7*d**6/270 - 13*d**5/270 + 7*d**4/3 - 12*d**3 - 405*d**2. Factor h(q).
-2*(q - 2)**2*(q + 9)**2/9
Suppose -5*f = -3*q - 2*q - 20, f = -3*q + 4. Suppose 5*n + 5 = 15, -4*m + 5*n - 10 = 0. Factor -2/7*d**5 + m*d + 2/7*d**3 + q + 0*d**4 + 0*d**2.
-2*d**3*(d - 1)*(d + 1)/7
Suppose -2*q + 11 = -19. Let p be (-5)/(q/9) + 5. Factor 9*l - 2*l**p - 5*l - 2 + 0*l.
-2*(l - 1)**2
Solve -54/7*w + 2/7*w**2 + 52/7 = 0 for w.
1, 26
Suppose i - q = 3*q + 1571, -i + 5*q + 1572 = 0. Factor -1663*m + 3*m**2 + 768 + 0*m**2 + i*m.
3*(m - 16)**2
Suppose 35*k + k = 0. Let m(h) be the second derivative of 1/4*h**2 - 1/8*h**3 + 3*h + k + 1/48*h**4. Factor m(j).
(j - 2)*(j - 1)/4
Let 0 + 3/2*d**3 - 33/8*d**2 - 9/8*d = 0. What is d?
-1/4, 0, 3
Determine l, given that 127 - 22 + 120 + 3*l**2 + 228*l = 0.
-75, -1
Suppose -4*y - 3*y = 0. Let a(f) be the first derivative of 2 - 49/8*f**4 - f**2 - 14/3*f**3 + y*f. Suppose a(t) = 0. What is t?
-2/7, 0
Let n(d) be the third derivative of -d**6/24 + 2*d**5/3 - 35*d**4/24 + d**2 + 340. Factor n(h).
-5*h*(h - 7)*(h - 1)
Let i(x) be the third derivative of -x**7/105 + x**6/6 + 11*x**5/30 - 3*x**2 - 109. Find u such that i(u) = 0.
-1, 0, 11
Let k(l) be the third derivative of -1/90*l**5 - 1/9*l**3 - 11*l**2 + 1/1080*l**6 + 11/216*l**4 + 0 + 0*l. Determine d so that k(d) = 0.
1, 2, 3
Let f be (120/(-100))/(63/(-30)). Solve f*q - 2/21*q**2 - 6/7 = 0 for q.
3
Let h(p) = -p + 1. Let w(r) = 13*r**2 - 100*r + 381. Let s(o) = -7*o**2 + 50*o - 190. Let z(b) = -7*s(b) - 4*w(b). Let d(i) = 2*h(i) + z(i). Factor d(g).
-3*(g - 8)**2
Let s(i) be the third derivative of 1/3*i**3 + 0 - 1/90*i**5 + 44*i**2 + 0*i + 1/18*i**4. Let s(c) = 0. Calculate c.
-1, 3
Let i(l) be the third derivative of -l**8/336 - l**7/42 - 3*l**6/40 - 7*l**5/60 - l**4/12 + 118*l**2. Solve i(o) = 0 for o.
-2, -1, 0
Let y(c) = c**3 + c**2 - 1. Let n(j) = -7*j**4 - 30*j**3 - 38*j**2 - 19*j + 1. Let g(i) = -n(i) - 5*y(i). Determine v, given that g(v) = 0.
-1, -4/7
Let b(p) = 4*p**3 + 4*p**2 - p - 2. Let a(w) = -4*w**3 - 4*w**2 + 2*w + 3. Let y(o) = 2*a(o) + 3*b(o). Factor y(z).
z*(2*z + 1)**2
Let x(p) be the second derivative of -p**5/50 + 3*p**4/5 - 4*p**3 - 40*p**2 + 285*p + 2. What is g in x(g) = 0?
-2, 10
Let 0 - 1/2*k**4 - 6*k - 3/2*k**3 + 8*k**2 = 0. What is k?
-6, 0, 1, 2
Let l(p) be the first derivative of -44 - 5/2*p**2 + 1/12*p**3 + 25*p. Factor l(s).
(s - 10)**2/4
Suppose 0 = -6*q + 5*q. Find w, given that 3/10*w**2 - 1/5*w + 0 + q*w**3 - 1/10*w**4 = 0.
-2, 0, 1
Let j be (-4)/18 + 28*20/1386. Let h(n) be the first derivative of -2 + 2/33*n**3 - 6/11*n + j*n**2. Factor h(b).
2*(b - 1)*(b + 3)/11
Let w(s) = 280*s**4 - 370*s**3 - 260*s**2 + 405*s - 55. Let k(x) = 31*x**4 - 41*x**3 - 29*x**2 + 45*x - 6. Let b(a) = -35*k(a) + 4*w(a). Factor b(p).
5*(p - 1)**2*(p + 1)*(7*p - 2)
Let q(u) be the third derivative of -u**6/40 + 3*u**5/10 + 63*u**2. Let q(b) = 0. What is b?
0, 6
Factor -87 + 44*c**2 + 153 - 82 + 80*c.
4*(c + 2)*(11*c - 2)
Let q = -125 + 125. Suppose q - 1/4*l**2 - 1/4*l = 0. Calculate l.
-1, 0
Let q(n) be the first derivative of n**4/10 + 4*n**3/3 + 28*n**2/5 + 48*n/5 - 543. Determine r so that q(r) = 0.
-6, -2
Factor -4952 - 264*q + 2*q**2 + 596 + 3*q**2 - 9*q**2.
-4*(q + 33)**2
Let x(v) = -v + 0*v - 3*v + v. Let n be x(-1). Let -19*d**2 - 15*d**3 - 21*d - n*d**4 - 6 - 8*d**2 + 0 = 0. Calculate d.
-2, -1
Let q(r) be the third derivative of 1/18*r**4 + 1/6*r**3 + 0*r + 0 - 11*r**2 + 1/180*r**5. Determine s, given that q(s) = 0.
-3, -1
Suppose 0 = -310*j + 299*j. Factor 2/7*d**2 + 0*d + j - 1/7*d**3.
-d**2*(d - 2)/7
Factor -x**3 + x**3 - 4*x**3 - 68*x - 32*x**2 - 40*x**2.
-4*x*(x + 1)*(x + 17)
Let g(b) be the second derivative of b**6/10 - 9*b**5/20 + 66*b. Let g(u) = 0. Calculate u.
0, 3
Let b be (-14)/70 + (-1132)/(-10). Let c be (-5)/15*(-1 - b). Factor -34 + c + 0*p - 2*p**3 + 2*p - 4*p**2.
-2*(p - 1)*(p + 1)*(p + 2)
Let c(z) = -z**2 + z. Let w = -9 + 11. Suppose -4 + 26 = a - 4*g, -w*a = 5*g + 8. Let d(b) = 141*b**2 + 48*b + 3. Let m(s) = a*c(s) - d(s). Factor m(y).
-3*(7*y + 1)**2
Suppose 0*j + 0 + 2*j**2 + 1/7*j**3 = 0. Calculate j.
-14, 0
Suppose -4*r = -7*r + 9. Factor -r + 4*o**2 + 3 + 0 + 4*o**3 - 8*o.
4*o*(o - 1)*(o + 2)
Let x = 8145 - 24434/3. Suppose -x*t**2 + 1/3*t + 2 = 0. What is t?
-2, 3
Let a(t) be the first derivative of -t**4/20 - 4*t**3/3 + 21*t**2/10 - 72. Factor a(f).
-f*(f - 1)*(f + 21)/5
Factor 0 - 40/3*f**3 + 0*f - 8*f**2 - 14/3*f**4.
-2*f**2*(f + 2)*(7*f + 6)/3
Let a = -75 - -73. Let v(t) = 5*t**3 - 2*t**2 + 2. Let z(y) = -y**2 + 1. Let g(m) = a*z(m) + v(m). Let g(i) = 0. Calculate i.
0
Let g(p) be the second derivative of -p**7/210 - p**6/45 - p**5/30 - 3*p**3/2 + 8*p. Let x(j) be the second derivative of g(j). Find o such that x(o) = 0.
-1, 0
Let c(f) be the third derivative of -5/6*f**3 + 0 + 11*f**2 + 1/60*f**5 + 0*f - 1/6*f**4. Determine o, given that c(o) = 0.
-1, 5
Let t = 15 + -17. Let v be t + 3 - (-3 - -2). Suppose 4/3 + 2/3*y**2 + v*y = 0. Calculate y.
-2, -1
Let w(y) = 2*y**2 - y. Let u(b) = b**3 - 15*b**2 - 7*b + 12. Let c(r) = -2*u(r) - 18*w(r). Factor c(n).
-2*(n - 2)*(n - 1)*(n + 6)
Let k(x) = -4*x - 9. Let q be k(-6). Factor -6*m**3 - 15*m - 33*m**2 - q*m + 6*m**2 - 9.
-3*(m + 1)*(m + 3)*(2*m + 1)
Factor -30*r + 710*r**2 + 69*r - 707*r**2 + 66.
3*(r + 2)*(r + 11)
Let x(y) be the third derivative of 3/2*y**4 - 2/15*y**6 + 0 + 0*y - 1/5*y**5 + 11*y**2 - 4/3*y**3. Factor x(m).
-4*(m - 1)*(m + 2)*(4*m - 1)
Let s = -4230 - -17001/4. Factor -27/4*o**2 + s*o - 21/4*o**3 + 81/2 - 3/4*o**4.
-3*(o - 2)*(o + 3)**3/4
Factor 35*s**2 + 26*s**2 - 48*s + 112 - 99*s**2 + 34*s**2.
-4*(s - 2)*(s + 14)
Suppose -2*n + 5*n = 6. Let c(o) = o**3 + o**2 + 2. Let p be c(0). Find z, given that 16*z**2 - n - p - 4*z**2 + 1 - 9*z = 0.
-1/4, 1
Let r(b) be the third derivative of 3/140*b**5 - 1/28*b**4 + 14*b**2 + 0*b**3 + 1/784*b**8 + 1/280*b**6 + 0*b - 3/490*b**7 + 0. Suppose r(a) = 0. What is a?
-1, 0, 1, 2
Let g be (9/(-72)*-4)/10. Let c(a) be the first derivative of g*a**4 + 4/15*a**3 + 0*a - 4 + 2/5*a**2. What is i in c(i) = 0?
-2, 0
Let k = 1289/117 + -95/9. Let s = k + 8/39. Suppose 0 + 1/6*f**2 - s*f = 0. What is f?
0, 4
Let v(x) be the second derivative of x**8/8400 - x**6/900 - 23*x**4/12 - 4*x. Let r(a) be the third derivative of v(a). Factor r(b).
4*b*(b - 1)*(b + 1)/5
Let s(b) be the third derivative of -b**7/11340 - b**6/3240 - 5*b**4/6 + 7*b**2. Let i(h) be the second derivative of s(h). Determine v, given that i(v) = 0.
-1, 0
Let c = 51 + -51. Let n(x) be the first derivative of 1/8*x**6 + 1/2*x**3 + c*x**4 - 3/10*x**5 - 3/8*x**2 + 1 + 0*x. Factor n(f).
3*f*(f - 1)**3*(f + 1)/4
Let y(s) be the third derivative of -6*s**2 + 1/2*s**3 + 0*s + 0 - 1/6*s**4 + 1/90*s**6 + 0*s**5. Let a(x) be the first derivative of y(x). Factor a(d).
4*(d - 1)*(d + 1)
Let t = 2767/132 + -43273/220. Let c = t + 176. Factor 0 - c*d**2 + 2/15*d**4 + 0*d + 2/15*d**3.
2*d**2*(d - 1)*(d + 2)/15
Let n(i) = i**2 + 1. Let h(w) = -2 + 8 + 10*w**2 - 5*w + 9. Let p(l) = h(l) - 15*n(l). Find m, given that p(m) = 0.
-1, 0
Let i = 2642/3945 - 4/1315. Factor 2/3*g**2 + g**3 - i - g.
(g - 1)*(g + 1)*(3*g + 2)/3
Let n(p) be the second derivative of p**6/2 + 5*p**5/4 - 5*p**4/3 - 10*p**3/3 - 214*p. Determine r, given that n(r) = 0.
-2, -2/3, 0, 1
Let f(h) = 8*h**5 + 8*h**4 - 56*h**3 - 4*h - 4. Let y(k) = -k**5 - k**3 + k + 1. Let w(z) = f(z) + 4*y(z). Solve w(r) = 0.
-5, 0, 3
Let v(w) be the third derivative of -w**7/420 + w**6/240 + w**5/60 + 84*w**2. What is x in v(x) = 0?
-1, 0, 2
Let v(m) be the first derivative of -4*m**5/5 - 2*m**4 + 12*m**3 + 4*m**2 - 32*m + 504. Let v(s) = 0. Calculate s.
-4, -1, 1, 2
Let b(o) = -208*o**2 + 3*o + 1. Let h be b(-1). Let d be 2/24*2 - (-35)/h. Factor d - 2/5*g**4 + 2/5*g**2 + 2/5*g**3 - 2/5*g**5 + 0*g.
-2*