erivative of 6*j**7/175 - 28*j**6/75 + 31*j**5/25 - 3*j**4/5 - 15*j**2. Factor o(h).
4*h*(h - 3)**2*(9*h - 2)/5
Let i(m) be the second derivative of -m**6/45 - m**5/60 + 7*m**4/12 - 13*m**3/9 + 4*m**2/3 - m - 99. What is s in i(s) = 0?
-4, 1/2, 1, 2
Let k(z) be the first derivative of -2*z**2 + 5 - z**3 - 12*z - 3 - 4*z**2. Factor k(t).
-3*(t + 2)**2
Let b(y) = 4*y**3 + 22*y**2 - 69*y - 3. Let w(d) = 23*d**3 + 134*d**2 - 411*d - 17. Let m(g) = 34*b(g) - 6*w(g). Suppose m(l) = 0. What is l?
-30, 0, 2
Let y(u) be the third derivative of 2*u**7/15 - 17*u**6/10 + 28*u**5/5 - 10*u**4/3 - 110*u**2. Factor y(q).
4*q*(q - 5)*(q - 2)*(7*q - 2)
Let w(i) be the first derivative of 3*i - 1/2*i**2 + 4*i**4 + 15 - 16*i**3. Factor w(f).
(f - 3)*(4*f - 1)*(4*f + 1)
Let o be (-3)/(-2 + (-12 - -5)). Suppose -1 - 2/3*g + o*g**2 = 0. Calculate g.
-1, 3
Let n(z) = z**3 - 1. Let j(q) = -q**4 + 4 - 20*q**3 + 0*q**4 - 49*q**2 + 49*q**3 - 19*q**3. Let u(r) = -j(r) - 4*n(r). Factor u(c).
c**2*(c - 7)**2
Let h(f) be the first derivative of -f**8/336 + f**7/168 + f**6/36 - 5*f**3 - 32. Let t(j) be the third derivative of h(j). Suppose t(o) = 0. What is o?
-1, 0, 2
Let c(m) be the first derivative of -m**5/40 - m**4/4 - 2*m**3/3 + 97. Determine s, given that c(s) = 0.
-4, 0
Let n(w) be the third derivative of 0*w + 1/20*w**5 + 1/8*w**4 + 24*w**2 - w**3 + 0. Solve n(u) = 0.
-2, 1
Let x = -1 - 5. Let y(n) = -n**2 - 7*n - 1. Let f be y(x). Factor t**2 - 2*t**2 + 3*t**4 - 5*t**2 + 3 - 8*t**5 - 3*t + f*t**5 + 6*t**3.
-3*(t - 1)**3*(t + 1)**2
Suppose 31*s = 28*s - 5*a + 6, 0*a - 4*a = 0. Suppose 1/5*t**s - 3/5 + 2/5*t = 0. What is t?
-3, 1
Let l be ((-10)/(-6))/((-15)/(-18)). Let w = 59 - 56. Let 0*y - 1/2*y**w + 0*y**l + 0 = 0. Calculate y.
0
Let u(y) = y**2 + 3*y + 5. Let l be u(-3). Let i = -3 + l. Factor 0 + 1/4*w - 1/2*w**i.
-w*(2*w - 1)/4
Let m(g) be the first derivative of 49*g**4/4 - 7*g**3 - 12*g**2 - 4*g - 80. Find f, given that m(f) = 0.
-2/7, 1
Let l = -9480 + 9484. Factor -18/13*q - 24/13*q**2 - 2/13*q**5 + 8/13*q**l + 4/13*q**3 + 0.
-2*q*(q - 3)**2*(q + 1)**2/13
Let b(q) = -q**2. Let w(i) be the second derivative of 2*i**4/3 + i**3/3 + 13*i. Let o(y) = 14*b(y) + 2*w(y). Factor o(x).
2*x*(x + 2)
Let m be (-17 - -33)*(-1 - -8). Factor -m*n - 16 - 37*n**3 - 47*n**3 - 135*n**4 - 240*n**3 - 288*n**2.
-(3*n + 2)**3*(5*n + 2)
Let q be (-42)/252 - (-25)/6. Determine l, given that -32/5*l - q*l**2 + 16/5 = 0.
-2, 2/5
Let f(p) = -p - 18. Let b be f(-8). Let c = b - -13. What is i in i**c - 12*i**2 + 9*i**2 - 4*i**3 = 0?
-1, 0
Let n(a) be the first derivative of -3*a**4/4 - a**3 + 101. Suppose n(v) = 0. What is v?
-1, 0
Let c(v) be the second derivative of 5/28*v**4 + 26*v + 6/7*v**2 + 0 + 6/7*v**3. Factor c(i).
3*(i + 2)*(5*i + 2)/7
Let q(d) be the third derivative of -d**6/60 + d**5/12 + d**4/6 - d**3/2 - 791*d**2. Find b such that q(b) = 0.
-1, 1/2, 3
Let k be (0/3)/(-2 + 0/1). Suppose 3*t - 19 = -4*s + 2*t, -4*s - 3*t + 25 = k. Determine g, given that -1/3*g**5 + 4/3*g**2 - 2*g**3 + 4/3*g**s - 1/3*g + 0 = 0.
0, 1
Let p = 19 - 13. Factor -5*a**2 - a**3 - p*a - a**4 + 8*a**3 - a**3 - 3*a**2 + 9.
-(a - 3)**2*(a - 1)*(a + 1)
Find c, given that -7/5*c - 1/5*c**2 - 6/5 = 0.
-6, -1
Suppose -17*n + 31*n = 224. Let r(a) be the first derivative of 1/3*a**3 - 4*a**2 + 7 + n*a. Factor r(x).
(x - 4)**2
Let s(x) = 2*x**3 + 2*x**2 - 14*x - 10. Let v(f) = -f**3 - f**2 + 5*f + 3. Suppose -c + 13 - 10 = 0. Let y(u) = c*s(u) + 10*v(u). Factor y(z).
-4*z*(z - 1)*(z + 2)
Let w(r) be the second derivative of -147*r**5/20 + 63*r**4/2 - 30*r**3 + 12*r**2 + 45*r. Factor w(d).
-3*(d - 2)*(7*d - 2)**2
What is a in 5 + 19/4*a - 1/4*a**2 = 0?
-1, 20
Let p(n) be the first derivative of 4/3*n**3 - 2 + 64*n + 16*n**2. Determine z so that p(z) = 0.
-4
Suppose 0 = -3*b - 14 + 206. Suppose 22 + 325*x**2 + b*x**3 - 42 - 980*x**4 + 60*x - 799*x**3 = 0. What is x?
-1, -2/7, 1/4, 2/7
Let m(x) = -7*x**2 + 20*x + 7. Let t(o) = 13*o**2 - 38*o - 16. Let q(a) = 7*m(a) + 4*t(a). Find k such that q(k) = 0.
-1, 5
Let d be (1/(-3))/((-10)/(-12) + -1). What is a in 10*a**d + a**3 + 4*a**3 - 1 + 5*a + 1 = 0?
-1, 0
Let w(j) be the second derivative of -j**4/3 + 9*j**3/2 - 8*j**2 + 2*j + 1. Let i be w(6). Solve 2/13*h**i - 16/13*h + 32/13 = 0 for h.
4
Factor -14*t**3 - 9 + 20*t**2 + 9 - 28*t**2 - 3*t**4.
-t**2*(t + 4)*(3*t + 2)
Let h = -343/25 + 911/50. Determine n, given that -h*n**3 + 0 + n + 7/2*n**2 = 0.
-2/9, 0, 1
Let y = 74 + -35. Factor -10*c**2 + y*c + 4*c**2 + 21 + 0*c**2.
-3*(c - 7)*(2*c + 1)
Let n(c) = -2*c**2 + 330*c + 653. Let p(a) = 12*a**2 - 1648*a - 3264. Let y(g) = -16*n(g) - 3*p(g). Factor y(d).
-4*(d + 2)*(d + 82)
Factor 1/5*s**5 + 0*s + 0 + 0*s**3 + 0*s**2 - 6/5*s**4.
s**4*(s - 6)/5
Let v(n) be the third derivative of -n**11/110880 - n**10/25200 - n**9/20160 - 7*n**5/20 - 2*n**2. Let f(l) be the third derivative of v(l). Factor f(w).
-3*w**3*(w + 1)**2
Suppose 3*w - 6 = -2*f, -f - 3*w + 1 = -2*w. Let q(a) = -a**2 - 5*a + 2. Let h(t) = -t**2 - 5*t + 3. Let m(k) = f*q(k) + 2*h(k). Find u such that m(u) = 0.
-5, 0
Let i(h) be the third derivative of 0*h**3 - 2/45*h**5 + 0*h + 0 + 0*h**4 + 1/90*h**6 - 13*h**2. Let i(d) = 0. Calculate d.
0, 2
Let u(i) be the second derivative of -i**5/90 + i**4/36 + 2*i**3/9 + 9*i**2/2 + 7*i. Let x(c) be the first derivative of u(c). Factor x(m).
-2*(m - 2)*(m + 1)/3
Let i be (528/924)/((-6)/7 + 1). Let d(w) be the second derivative of -1/9*w**3 + 0 + 8*w + 0*w**2 - 1/6*w**i. Factor d(k).
-2*k*(3*k + 1)/3
Let q(g) = -70*g**4 + 685*g**3 + 390*g**2 - 2575*g - 55. Let k(v) = -5*v**4 + 49*v**3 + 28*v**2 - 184*v - 4. Let r(j) = -55*k(j) + 4*q(j). Factor r(w).
-5*w*(w - 9)*(w - 2)*(w + 2)
Let n = 550/63 - 58/7. Factor 0*f + 0 + n*f**3 - 2/9*f**2 - 2/9*f**4.
-2*f**2*(f - 1)**2/9
Let t(a) be the first derivative of a**7/210 + a**6/6 + 5*a**5/2 + 125*a**4/6 - 2*a**3/3 + 8. Let z(u) be the third derivative of t(u). Factor z(r).
4*(r + 5)**3
Suppose -2*j = -0*w + w - 6, 5*w = -j + 12. Suppose j*b + 0*b - 6 = 0. Solve -b*a - a**2 + a**2 - a**2 = 0 for a.
-3, 0
Suppose 10*q - 39 = -22 + 23. Suppose 0*y**3 - 2/9*y**q + 0*y - 2/9 + 4/9*y**2 = 0. Calculate y.
-1, 1
Let s(i) = i**2 + i. Let l(f) = 4 + 0*f + 5 + 15*f + 7*f**2 + f. Let o(h) = -l(h) + 4*s(h). Factor o(p).
-3*(p + 1)*(p + 3)
Let a(y) = 32*y**4 + 34*y**3 + 156*y**2 + 218*y + 82. Let m(g) = 26*g**4 + 33*g**3 + 156*g**2 + 217*g + 83. Let z(s) = -5*a(s) + 6*m(s). Factor z(q).
-4*(q - 11)*(q + 1)**2*(q + 2)
Suppose 0 - 1/3*v + 1/6*v**2 = 0. What is v?
0, 2
Let m(n) = 40*n - 2837. Let a be m(71). Determine r, given that 28/3*r**2 - 16/3 + 8/3*r**a + 16/3*r = 0.
-2, 1/2
Factor 35*p - 2*p**2 + 4 - 3*p - 34.
-2*(p - 15)*(p - 1)
Let n be (23/(-161))/(396/(-634)). Let t = n + -1/154. Let -2/9*l**2 + 0 - 2/3*l**4 + 0*l + 2/3*l**3 + t*l**5 = 0. What is l?
0, 1
Let i(x) be the third derivative of -x**6/480 - 11*x**5/80 - 85*x**4/32 + 289*x**3/24 - 173*x**2. Determine o so that i(o) = 0.
-17, 1
Let f(w) be the first derivative of w**3/3 - 7*w**2/2 + 6*w - 260. Suppose f(g) = 0. Calculate g.
1, 6
Let t be (-1 + (-7)/(-5))/(18/540). Factor t*c**2 - 3*c + 12*c**4 + 28 - 28 - 18*c**3 - 3*c**5.
-3*c*(c - 1)**4
Let q(a) be the first derivative of a**6/6 - 8*a**5/5 - 9*a**4 + 302*a**3/3 + 35*a**2/2 - 294*a + 520. Suppose q(j) = 0. What is j?
-6, -1, 1, 7
Suppose 4*j**3 + j**4 + 1468*j**5 - 1470*j**5 - 3*j**4 = 0. Calculate j.
-2, 0, 1
Let k be 14/3*60/40. Let q(g) be the third derivative of 0 - 1/40*g**6 + 1/70*g**k - 3/20*g**5 - 5*g**2 + 0*g + 1/8*g**4 + g**3. What is y in q(y) = 0?
-1, 1, 2
Let k(s) = 0*s**2 + 0*s + 0*s + 12*s**2. Let b be k(1). Factor -m**2 + 26*m - 14*m - b*m.
-m**2
Let j(x) be the first derivative of x**6/8 + 3*x**5/4 + 21*x**4/16 - x**3/4 - 3*x**2 - 3*x + 428. Determine c so that j(c) = 0.
-2, -1, 1
Let z(d) be the third derivative of -d**6/300 + d**4/60 - 114*d**2. Factor z(b).
-2*b*(b - 1)*(b + 1)/5
Let z(p) = p**3 + p**2 - 1. Let u(j) = -6*j**2 + 4*j + 0*j**2 + 7 - 8*j**3 - 2*j - 1. Let l = 23 - 29. Let b(h) = l*z(h) - u(h). Find c, given that b(c) = 0.
-1, 0, 1
Let z(h) be the first derivative of -h**3/3 - 23*h**2/2 - 21*h - 38. Let u be z(-22). Solve -u + 5/2*l - 3/2*l**2 = 0.
2/3, 1
Let x(f) be the third derivative 