olve a(t) = 0.
-4, -2, 0
Let y = 18 - 2. Determine j so that y*j**2 - 32*j**2 + 14*j**2 = 0.
0
Let x be 3/(-5)*(-3)/756. Let q(t) be the third derivative of 0*t**4 + 5*t**2 - x*t**7 + 0 + 1/240*t**6 + 0*t + 0*t**5 + 0*t**3. Factor q(u).
-u**3*(u - 1)/2
Factor -66*w**2 + 29*w**2 + 32*w**2 - 72*w - 215 - 148*w.
-5*(w + 1)*(w + 43)
Let o(w) be the second derivative of -14*w + 1/3*w**4 + 0 + 8*w**2 + 8/3*w**3. Solve o(p) = 0 for p.
-2
Let t(a) be the third derivative of -a**6/540 - 43*a**5/270 + 23*a**4/18 - 789*a**2. Suppose t(h) = 0. Calculate h.
-46, 0, 3
Suppose -23 = -4*p - 3*f, -4*p + 21*f - 12 = 17*f. Let g(c) be the second derivative of -1/3*c**4 + 8*c + p*c**2 + 8/3*c**3 + 0 - 4/5*c**5. Factor g(s).
-4*(s - 1)*(s + 1)*(4*s + 1)
Let x be (-1)/(-1)*24/9. Let y be 17/(357/(-14))*(-2 - -1). Determine l, given that 7/3*l - 1/3*l**5 + x*l**2 + 2/3 - y*l**4 + 2/3*l**3 = 0.
-1, 2
Suppose 64 = 61*b - 45*b. Let z(s) be the second derivative of b*s + 9/40*s**5 + 0 + 1/2*s**4 - 3*s**2 - 3/4*s**3. Factor z(a).
3*(a - 1)*(a + 1)*(3*a + 4)/2
Let n(i) be the second derivative of i**6/30 - 29*i**5/10 - i**4/12 + 29*i**3/3 + 10*i - 2. Factor n(x).
x*(x - 58)*(x - 1)*(x + 1)
Let d = -16 + 16. Factor -5*i**2 - 9 + 9 + d*i**2 + 25*i.
-5*i*(i - 5)
Let z = -14 - -14. Let n(h) be the first derivative of z*h + 5 - 1/15*h**3 - 1/10*h**2. Let n(t) = 0. Calculate t.
-1, 0
Let b(j) be the second derivative of 0*j**2 + 1/10*j**6 + 1/14*j**7 - j**3 + 0 - 5/4*j**4 - 9/20*j**5 + 5*j. Determine m so that b(m) = 0.
-1, 0, 2
Let m(l) be the third derivative of -l**8/1008 + l**7/210 + l**6/45 - l**5/15 - 2*l**4/9 + 362*l**2. Determine p, given that m(p) = 0.
-2, -1, 0, 2, 4
Let n(m) = 16*m**2 - 1. Let h be n(-1). Factor 3*x**5 + h*x**3 + 9*x**2 + 8*x**2 - 23*x**2 - 12*x**4.
3*x**2*(x - 2)*(x - 1)**2
Factor -2/5*l**3 + 28/5 + 2/5*l - 28/5*l**2.
-2*(l - 1)*(l + 1)*(l + 14)/5
Let f(w) = -w**2 + 6*w + 10. Let n be f(9). Let h = n - -19. Let 4 + 0 + 2 + 3*p - 3*p**h = 0. Calculate p.
-1, 2
Let f = 6833 - 47771/7. Factor -2*n**2 - 16/7 + f*n.
-2*(n - 4)*(7*n - 2)/7
Find b, given that -195/8*b + 9/8*b**2 - 33/4 = 0.
-1/3, 22
Let z(s) = -4*s**2 + 58*s - 2. Let x(t) = 4*t**2 - 59*t + 3. Let f(l) = -2*x(l) - 3*z(l). Find c such that f(c) = 0.
0, 14
Let l(g) be the third derivative of 5*g**8/336 + 5*g**7/42 - g**6/8 - 17*g**5/12 - 25*g**4/12 - 306*g**2. Determine d, given that l(d) = 0.
-5, -1, 0, 2
Suppose -18374*s + 18264*s = 0. Factor -9/4*n**2 + 3/4*n**4 + s*n + 0 - 3/2*n**3.
3*n**2*(n - 3)*(n + 1)/4
Factor -51*n**2 - 40 + 108*n - 55*n**2 + 86*n**2.
-4*(n - 5)*(5*n - 2)
Let p = -62 + 64. Factor -2*m**2 + 3*m - 3*m + m**2 - m**4 - p*m**3.
-m**2*(m + 1)**2
Factor 0*y + 0 + 1/2*y**2 - 1/6*y**4 + 1/3*y**3.
-y**2*(y - 3)*(y + 1)/6
Let c(r) be the third derivative of 7/6*r**4 + 0 - 1/5*r**5 - 4/3*r**3 - 11*r**2 + 0*r. Factor c(a).
-4*(a - 2)*(3*a - 1)
Let b(n) be the first derivative of 3*n**6/8 + 9*n**5/20 - 25*n**4/16 - 15*n**3/4 - 3*n**2 - n - 708. Suppose b(h) = 0. Calculate h.
-1, -2/3, -1/3, 2
Let t be (-1 + 0)*(1 - 1). Suppose 2*f = -4*v - t*f, 2*v - 4*f = 20. Factor 4*n**4 - 6*n**5 + 10*n**3 - v*n**3 + 2*n**5.
-4*n**3*(n - 2)*(n + 1)
Let i = -479 + 485. Let s(q) be the first derivative of 1/3*q**6 + 5*q**2 + 2*q + 2*q**5 + i + 20/3*q**3 + 5*q**4. Factor s(y).
2*(y + 1)**5
Factor -2*d**2 + 2 - 388*d**5 + 389*d**5 - 4*d**3 - 92*d + 95*d.
(d - 2)*(d - 1)*(d + 1)**3
Let q(d) be the first derivative of 1225*d**3/24 - 35*d**2/4 + d/2 - 9. Solve q(r) = 0 for r.
2/35
Let d(m) be the first derivative of 13/3*m**2 - 2 + 4/3*m + 22/9*m**3. Solve d(h) = 0.
-1, -2/11
Let o(l) be the first derivative of -1/5*l**5 + 3 - l**3 + 0*l - 5/2*l**2 + 5/8*l**4 + 1/40*l**6. Let h(y) be the second derivative of o(y). Factor h(p).
3*(p - 2)*(p - 1)**2
Let f(a) be the first derivative of 2/7*a**4 - 9 + 0*a**3 - 8/7*a**5 + 0*a**2 + 25/21*a**6 + 0*a. Factor f(t).
2*t**3*(5*t - 2)**2/7
Factor 0 + 0*u - 68/7*u**2 - 4/7*u**4 + 72/7*u**3.
-4*u**2*(u - 17)*(u - 1)/7
Let c(y) be the second derivative of -y**8/2800 - y**7/700 - y**6/600 - 2*y**3 + 14*y. Let k(g) be the second derivative of c(g). Solve k(p) = 0.
-1, 0
Let x(o) be the third derivative of -o**6/540 + o**4/9 - 16*o**3/27 + 3*o**2 + 11. Factor x(m).
-2*(m - 2)**2*(m + 4)/9
Suppose -199 = 4*v - 3*r, -250 = 4*v - r - 45. Let k = 54 + v. Factor 4*p - 4/3 - 5/3*p**k.
-(p - 2)*(5*p - 2)/3
Let l(v) be the third derivative of v**7/945 - 19*v**6/270 + 361*v**5/270 + 95*v**2. Let l(p) = 0. Calculate p.
0, 19
Suppose 3*c - 7*c - 8 = -4*d, 5*c + 5*d - 30 = 0. Let i(n) be the first derivative of 5 - 2/3*n**3 + 6*n + 2*n**c. Factor i(v).
-2*(v - 3)*(v + 1)
Let m(q) = 5*q**3 - 220*q**2 + 1210*q + 5. Let n(k) = -2*k**3 + 110*k**2 - 605*k - 3. Let x(t) = 3*m(t) + 5*n(t). Factor x(d).
5*d*(d - 11)**2
Let x(l) be the third derivative of 0*l + 0 + 5/2*l**4 - l**2 + 1/2*l**5 + 20/3*l**3 + 1/24*l**6. Suppose x(s) = 0. What is s?
-2
Let l(z) be the second derivative of 0*z**3 + 2/75*z**6 - 8/25*z**5 + 0 + 6/5*z**4 - 54/5*z**2 - 20*z. What is a in l(a) = 0?
-1, 3
Let i(t) be the first derivative of t**6/9 + 16*t**5/15 + 10*t**4/3 + 20*t**3/9 - 7*t**2 - 12*t - 289. Suppose i(q) = 0. Calculate q.
-3, -2, -1, 1
Suppose -11 + 1 = -2*a. Suppose 3*m + 4*t + 3 = 7*t, 5*m + 3*t - 19 = 0. Factor q**5 - a + 15*q**4 - 4*q**5 + 10*q**3 - 15*q + 8*q**5 - 10*q**m.
5*(q - 1)*(q + 1)**4
Let p be 6/15 - 8/((-1600)/145). Factor 3/4 + p*a**2 - 3/8*a**4 - 3/8*a**3 + 15/8*a.
-3*(a - 2)*(a + 1)**3/8
Let c(m) be the third derivative of -m**8/280 - m**7/75 + 2*m**5/75 + 3*m**2 + 6*m. Let c(b) = 0. Calculate b.
-2, -1, 0, 2/3
Suppose 2/25*j**2 + 1352/25 - 104/25*j = 0. What is j?
26
Let r(x) be the second derivative of 2*x**7/189 + 8*x**6/135 + x**5/9 + 2*x**4/27 + x + 97. Let r(q) = 0. Calculate q.
-2, -1, 0
Let b(q) be the second derivative of -q**7/252 + 7*q**6/60 - q**5 + 25*q**4/18 - 223*q. Factor b(g).
-g**2*(g - 10)**2*(g - 1)/6
Let v(l) be the third derivative of -9/20*l**5 + 0*l**4 + 0*l + 0*l**3 - 1/10*l**7 + 33/40*l**6 + 5*l**2 + 0 - 7/16*l**8. Let v(d) = 0. What is d?
-1, 0, 3/7
Let j = 5 - 92. Let n be j/(-27) + 6/(-27). Factor 0 + 0*l**2 - 2/9*l**4 - 2/9*l**n + 0*l.
-2*l**3*(l + 1)/9
Let o be (3/(-11))/(10 + 336/(-33)). Let g(n) be the first derivative of 9/4*n**2 + 5 + 3/8*n**4 - o*n**3 - 3/2*n. What is d in g(d) = 0?
1
Suppose w = -4*f + f + 14, -2*w + 33 = f. Let l = w + -12. Find d such that -d**3 + 3*d**3 + d**5 - 2*d**l + 4*d**4 + 3*d**5 = 0.
-1, 0
Solve -172*b**2 + 0 + 11094*b + 2/3*b**3 = 0 for b.
0, 129
Let v = -117 - -113. Let c be v + 1/((-7)/(-42)). Let -2/3*m + 2/3*m**3 + 2/3 - 2/3*m**c = 0. Calculate m.
-1, 1
Suppose 18*n = 54*n - 72. Let x(z) be the second derivative of 1/42*z**4 + 6*z - 1/21*z**3 - 2/7*z**n + 0. What is l in x(l) = 0?
-1, 2
Let c(q) be the second derivative of -10/3*q**3 - q**4 + 4*q**2 + 0 + 26*q. Determine g so that c(g) = 0.
-2, 1/3
Let d be 1/1*(-576)/(-480)*(-10)/(-8). Determine i so that -3/2*i + d*i**3 - 3 + 3*i**2 = 0.
-2, -1, 1
Let u(y) be the second derivative of -7*y**6/45 + 19*y**5/30 + y**4/3 - 28*y**3/9 - 8*y**2/3 - 103*y. Determine t so that u(t) = 0.
-1, -2/7, 2
Solve 290*c**3 + 13*c**4 + 1/5*c**5 + 3969*c + 9261/5 + 2394*c**2 = 0 for c.
-21, -1
Let m(k) be the third derivative of 2*k**7/105 - k**6/12 + k**5/15 - 206*k**2. Factor m(z).
2*z**2*(z - 2)*(2*z - 1)
Let p(d) = 13*d**2 + 15*d + 8. Let r(y) = 2*y**2 + y. Let j(v) = 5*p(v) - 30*r(v). Find z such that j(z) = 0.
-8, -1
Suppose 3*j = 2*t - 2, -t + 0 = -1. Let i(k) be the third derivative of 1/28*k**4 + 1/70*k**5 + 1/21*k**3 + 0 + 1/420*k**6 + j*k + 5*k**2. Factor i(d).
2*(d + 1)**3/7
Factor 31*c**3 + 27*c**2 - 2*c**3 - 30*c**3 - 195*c + 169.
-(c - 13)**2*(c - 1)
Suppose -4*w + 8 = 0, -2*p = -3*w - 1 + 3. Suppose -3*m + 1 = -5*r - 3, m - 5 = -p*r. Let 8*b**2 + 12*b + 6 + 2/9*b**4 + 20/9*b**m = 0. What is b?
-3, -1
Let m(g) be the second derivative of g**4/3 - 4*g**3 + 6*g - 3. Factor m(k).
4*k*(k - 6)
Let c(n) = -n**4 + 2*n**3 - n - 1. Let b(l) = -3*l**4 + 6*l**3 + 3*l**2 - 6*l - 6. Let z(g) = b(g) - 6*c(g). Factor z(k).
3*k**2*(k - 1)**2
Let k(h) = 3*h**2 + 7*h + 4. Let v be k(-2). Find a, given that -80 - 189*a**v - 20*a - 20*a + 184*a**2 = 0.
-4
Let p(n) be the first derivativ