5*b. Let d(k) = 4*n(k) - 5*q(k). Factor d(r).
r**2*(r - 1)**2
Suppose -4*x + 1 = 3*z + 4, 13 = x - 2*z. Factor -x*f**3 + 6*f**2 + 9*f + 4*f + 3*f**4 - f - 18*f**2.
3*f*(f - 2)*(f - 1)*(f + 2)
Suppose 35 = 2*p + 3*y, 3*y + y = 4*p - 80. Suppose -4*b + 12 = -q, -2*q = 2*b - 0*b + 4. Let 7*d**2 + p - 17 - 3*d**b + d**3 + 5*d = 0. What is d?
-2, -1
Let l(c) = 11*c**2 - 7*c - 4. Let u(j) = -5*j**2 + 3*j + 2. Let y(k) = 6*l(k) + 10*u(k). Factor y(w).
4*(w - 1)*(4*w + 1)
Factor 12*d**2 + 3*d - 4*d**2 + 3*d**3 - 5*d**2 + 4*d**2 - d**2.
3*d*(d + 1)**2
Let o(u) be the third derivative of u**8/13440 - u**7/720 + u**6/180 + u**5/15 - 7*u**4/6 + 24*u**2. Let d(s) be the second derivative of o(s). Solve d(j) = 0.
-1, 4
Let x(y) = 29*y**3 - 137*y**2. Let n(a) = -5*a**3 + 23*a**2. Let w(i) = -34*n(i) - 6*x(i). Factor w(o).
-4*o**2*(o - 10)
Let x = 4849/3 - 1599. Let 8/3 + 4*n + 8*n**5 - 12*n**3 - x*n**2 + 44/3*n**4 = 0. What is n?
-2, -1, -1/3, 1/2, 1
Solve -3497*q**4 - 13*q + 3492*q**4 + 33*q + 30*q**3 - 45*q**2 = 0 for q.
0, 1, 4
Factor -2 + 47*t + 27*t - 53 + 5*t**2 - 24*t.
5*(t - 1)*(t + 11)
Let s(q) be the first derivative of 1/5*q**3 + 0*q - 54 - 3/10*q**2. Factor s(h).
3*h*(h - 1)/5
Let c(f) be the third derivative of -1/210*f**5 - 1/84*f**4 - 3*f**2 + 0*f + 1/420*f**6 + 1/21*f**3 + 0. Solve c(r) = 0 for r.
-1, 1
Let n(z) be the first derivative of 2*z**6/21 - 16*z**5/35 - 10*z**4/7 + 256*z**3/21 - 174*z**2/7 + 144*z/7 - 75. Determine v so that n(v) = 0.
-4, 1, 3
Let d = 5/2199 + 1451/6597. Suppose -d*j**2 - 4/9 + 2/3*j = 0. What is j?
1, 2
Let t(u) = -u**3 + 15*u**2 - 69*u + 111. Let v(n) = -n - 1. Let z(l) = t(l) + 3*v(l). Suppose z(w) = 0. Calculate w.
3, 6
Let s(u) = u + 10. Let z be s(-7). Suppose 0 = -5*l - 2*x + 5, -3*l - x - 8 = -4*l. Factor -1 + k**l + 6*k**2 - 5*k**4 + 0 + 3*k**z - 4*k.
-(k - 1)**2*(k + 1)*(5*k + 1)
Let h be -1 + 13 - (13 + -10). Find d such that 14*d**2 - 7*d**2 - 4*d**2 - h - 6*d = 0.
-1, 3
Let j(m) be the first derivative of m**8/3360 + m**7/840 + 5*m**3/3 - 5. Let n(y) be the third derivative of j(y). Factor n(d).
d**3*(d + 2)/2
Factor -10 + 10/3*r**2 + 5/3*r**3 - 25/3*r.
5*(r - 2)*(r + 1)*(r + 3)/3
Let d be (-3 + 3 + 0)*(-16 - (-588)/36). Determine m so that -4/9*m + 1/3*m**3 + 1/9*m**5 + 4/9*m**4 - 4/9*m**2 + d = 0.
-2, -1, 0, 1
Determine k so that 5*k**2 + 218*k - 50 - 183*k - 42 + 2 = 0.
-9, 2
Let r(b) be the second derivative of 1/3*b**2 - 2/9*b**3 + 0 + 1/18*b**4 + 3*b. Factor r(v).
2*(v - 1)**2/3
Let q(g) = 2*g - 2. Let x be q(2). Let b be (-2)/(9/(-6) - -1). Factor d**x + 2 - 7*d**2 - 4*d - 4*d**3 - d**b - 3.
-(d + 1)**4
Let j = 143 - 138. Let m(z) be the third derivative of 2/3*z**3 - 2/105*z**7 - 1/3*z**4 + 0 - 9/20*z**j - 5*z**2 - 19/120*z**6 + 0*z. Factor m(u).
-(u + 1)*(u + 2)**2*(4*u - 1)
Let m(w) be the first derivative of 4*w**5/5 - 3*w**4 - 16*w**3/3 - 99. Factor m(x).
4*x**2*(x - 4)*(x + 1)
Let u = -8 + 9. Let s be u*(-2)/10 - (-28)/40. Factor -3/4*h**3 + 1/4*h**4 - 5/4*h**2 + 1/4*h**5 - s*h + 0.
h*(h - 2)*(h + 1)**3/4
Suppose -j + 0 - 19 = -3*g, 3*g - 22 = 4*j. Let k = 9 - g. Let 64*a**2 + 0 - 32/3*a + 112*a**4 - 400/3*a**k - 30*a**5 = 0. What is a?
0, 2/5, 2/3, 2
Let x(z) be the third derivative of z**5/120 + z**4/48 - 5*z**3/2 - 115*z**2. Factor x(r).
(r - 5)*(r + 6)/2
Let o(z) be the second derivative of -z**5/4 - 5*z**4/6 - 20*z. What is b in o(b) = 0?
-2, 0
Let u(r) = -r**2 - 6*r - 6. Let a be u(-4). Suppose -a*t + 3*t = 4. What is o in -33*o**3 + 35*o**3 + 0 + 4*o**5 + 0 + 9*o**t = 0?
-2, -1/4, 0
Let x be 3/6*0 + 7 + 4. Determine d, given that -x*d + 2*d**3 - 11*d + 8 - 2*d**2 + 14*d = 0.
-2, 1, 2
Suppose 2*n - 10 = -2*p, 5 - 24 = -2*p - 5*n. Let t = 41 - 39. Determine o so that -3 - 1/3*o**t + p*o = 0.
3
Let w(h) be the first derivative of h**6/24 + h**5/4 + 7*h**4/16 + h**3/4 - 116. What is y in w(y) = 0?
-3, -1, 0
Let y = 31 - -32. Let i be (16/15)/(3 - y/35). Find a, given that 8/9 + 2/9*a**2 - i*a = 0.
2
Let s(g) be the third derivative of -g**7/210 + 17*g**6/40 - 49*g**5/60 - 17*g**4/8 + 25*g**3/3 - 364*g**2. Suppose s(x) = 0. What is x?
-1, 1, 50
Suppose 0*z = 6*z - 1848. Let o = z + -305. Factor 1/4*b**2 + 0 - 1/2*b + 1/4*b**o.
b*(b - 1)*(b + 2)/4
Let w = -25 + 22. Let i be (-56)/(-24) + 1/w. Suppose h**i - 3*h - h**2 + 4*h**2 + 35*h + 64 = 0. Calculate h.
-4
Let s(l) = 7*l - 6. Let g be s(3). Find x, given that 230*x**2 - g*x - 235*x**2 + 5*x**3 + 5*x = 0.
-1, 0, 2
Let y = -42/17 - -10086/119. What is g in -162/7*g**4 - 56*g + 40/7 + 1090/7*g**2 - y*g**3 = 0?
-5, 2/9, 1
Let 3/4*z + 13/4*z**3 + 0 - 5/4*z**4 - 11/4*z**2 = 0. What is z?
0, 3/5, 1
Let i(g) be the first derivative of g**4/2 - 2*g**3 - 24*g**2 + 160*g + 550. Suppose i(m) = 0. Calculate m.
-5, 4
Let u(v) = v**3 + v**2 + 6. Let l be u(0). Let m(r) be the third derivative of 0 + 0*r**3 - l*r**2 + 0*r**4 + 1/60*r**5 + 0*r. Solve m(a) = 0.
0
Factor 21*y**5 - 5*y**4 + 8*y**5 - 24*y**5.
5*y**4*(y - 1)
Let j(x) be the third derivative of x**8/1120 + 3*x**7/560 - x**6/15 + 3*x**5/20 - 49*x**3/6 - 9*x**2. Let d(k) be the first derivative of j(k). Factor d(l).
3*l*(l - 2)*(l - 1)*(l + 6)/2
Let y(a) = 2*a**2 - 7*a - 2. Let n be y(6). Let p = -26 + n. Let 8/3*k - 1/3*k**p - 16/3 = 0. What is k?
4
Suppose -31*h + 84 = -3*h. Let u(o) be the third derivative of -1/30*o**4 + 0 - h*o**2 - 1/150*o**5 + 0*o - 1/15*o**3. Determine w so that u(w) = 0.
-1
Let o(d) be the second derivative of -d**4/42 - d**3/21 + 15*d + 1. Factor o(p).
-2*p*(p + 1)/7
Let n(u) be the second derivative of -1/6*u**3 + 0 + u**2 - 1/12*u**4 - 8*u. Determine s, given that n(s) = 0.
-2, 1
Suppose -u - 5 = -2*g, 2*u + 0*u = -4*g - 10. Let q(n) be the third derivative of g*n - 21/40*n**5 - 5*n**2 + n**3 + 11/160*n**6 + 0 + 9/8*n**4. Factor q(o).
3*(o - 2)**2*(11*o + 2)/4
Let q(k) = k**3 + 8*k**2 + 7*k + 3. Let t be q(-7). Let c(j) = 3*j. Let x be c(1). Factor l**t - 5*l**x - 26*l**4 - l**2 - 4*l**3 + 10*l**4.
-l**2*(4*l + 1)**2
Suppose 0 = -7*z + 28 - 14. Let q(m) be the second derivative of -3/100*m**5 + 1/10*m**3 + 0 + 3/10*m**z + 2*m - 1/20*m**4. Suppose q(y) = 0. What is y?
-1, 1
Let o(y) = -y**2. Let n(i) be the first derivative of -4*i**3/3 + 2*i**2 - 6*i + 9. Let r(u) = -n(u) + 6*o(u). Factor r(z).
-2*(z - 1)*(z + 3)
Let u(i) be the second derivative of 3*i + 1/18*i**4 + 14/9*i**3 - 1/63*i**7 - 8/3*i**2 - 13/30*i**5 + 7/45*i**6 - 1. Find w such that u(w) = 0.
-1, 1, 2, 4
Suppose 4*a + 40 = -4*a. Let b(z) = 5*z**3 - 7*z**2 - 2*z. Let h(o) = 10*o**3 - 15*o**2 - 5*o. Let n(t) = a*b(t) + 2*h(t). Let n(g) = 0. What is g?
0, 1
Let q(c) = -c**3 + 3*c**2 + 6*c - 4. Let y(x) = -x. Let g(d) = -d**3 - 3*d**2 + d + 4. Let t be g(-3). Let n(f) = t*q(f) + 6*y(f). Determine i so that n(i) = 0.
-1, 2
Factor -9/2*d**3 + 6*d**2 + 0*d - 3/2*d**4 + 0.
-3*d**2*(d - 1)*(d + 4)/2
Suppose -2*q = y + 7, -5*y - 8*q + 6*q + 13 = 0. Let 3*m + 0 - 9/2*m**3 + 3/2*m**y + 3/2*m**2 - 3/2*m**4 = 0. Calculate m.
-1, 0, 1, 2
Factor 1 + 3*s**2 - s + 0*s - 4*s**2 + s**4 - s**2 + 2*s**3 - s**5.
-(s - 1)**3*(s + 1)**2
Let x = 11 - -4. Suppose 2*q - x = -3*q. Let v(r) = -5*r**2 + 8*r. Let k(d) = -4*d**2 + 7*d - 1. Let h(f) = q*v(f) - 4*k(f). Factor h(u).
(u - 2)**2
Let w(r) be the first derivative of 3/5*r**5 + 3*r**2 - 2 - 3/2*r**4 - 3*r + 0*r**3. Factor w(j).
3*(j - 1)**3*(j + 1)
Let a(h) be the first derivative of -8*h**5/5 - 21*h**4 - 40*h**3/3 - 36. Let a(i) = 0. Calculate i.
-10, -1/2, 0
Suppose -3*x = 4*r - 18, -2*r + 8 + 0 = x. Let p(q) = 7*q - 12. Let g be p(2). Determine w so that -r*w**g - 15*w - 22*w - 4 - 2 + 28*w = 0.
-2, -1
Let i(k) be the third derivative of -k**5/15 - 5*k**4/3 - 32*k**3/3 - 277*k**2. Factor i(t).
-4*(t + 2)*(t + 8)
Let -256/3*b + 7/3*b**3 - 28 + 45*b**2 = 0. What is b?
-21, -2/7, 2
Let f(w) be the first derivative of 1/38*w**4 + 0*w**2 + 9 + 8/19*w - 2/19*w**3. Determine g so that f(g) = 0.
-1, 2
Suppose -3*f + 23 + 64 = 0. Let d = 31 - f. Solve 0 - 1/6*j**d + 0*j + 1/6*j**4 + 0*j**3 = 0 for j.
-1, 0, 1
Suppose 15 = -5*f + 5*c, 0 = -3*f - 3*c - 59 + 20. Let i = f - -17. Factor -16*h + 2 - i - 2*h**2 - 25.
-2*(h + 4)**2
Let m(l) = 10*l**3 + 18*l**2 + 24*l - 2. Let j(d) = -d**2 + d - 1. Let i = -7 + 8. Let n(r) = i*m(r) - 6*j(r). Let n(h) = 0. What is h?
-1, -2/5
Let d = -4