 60 + 10*s**3.
5*(s - 2)**2*(s + 1)*(s + 9)/3
Let b be (-70)/(-50) + (-88)/(-55). What is z in 2*z**5 - 1/3*z**4 + 1/3 + 0*z**2 - 10/3*z**b + 4/3*z = 0?
-1, -1/2, -1/3, 1
Let m(a) be the second derivative of -a**6/15 + 12*a**5/5 - 15*a**4/2 + 22*a**3/3 - 18*a + 1. Determine w so that m(w) = 0.
0, 1, 22
Let d(g) = -2*g**3 + 30*g**2 - 34*g - 46. Let b(n) = -2*n**3 + 30*n**2 - 33*n - 47. Let z(k) = -10*b(k) + 9*d(k). Factor z(p).
2*(p - 14)*(p - 2)*(p + 1)
Let c(p) be the first derivative of p**4/40 + p**3/10 + p**2/10 - 172. Factor c(h).
h*(h + 1)*(h + 2)/10
Let q = -391/130 - -99/26. Determine i, given that 0*i - 4/5*i**4 + q*i**2 + 0*i**3 + 0 = 0.
-1, 0, 1
Let u be 9/405*-12*-8. Factor -2/15*a - 16/15*a**2 + 0 - u*a**3.
-2*a*(4*a + 1)**2/15
Let u(b) = -b**2 + 5*b + 6. Let x = 7 - 1. Let l be u(x). Factor 5 + 3*o**2 + l*o + 4*o - 3 - o**2.
2*(o + 1)**2
Let k(n) be the first derivative of -16/15*n**3 - 1/2*n**4 + 0*n + 4/5*n**2 + 18. Find s such that k(s) = 0.
-2, 0, 2/5
Let x(k) be the third derivative of 0 - 10*k**2 - 5/8*k**4 - 1/14*k**7 - 1/4*k**5 + 5/3*k**3 + 7/24*k**6 + 0*k. Let x(s) = 0. Calculate s.
-2/3, 1
Let o(p) be the third derivative of p**6/40 + 6*p**5/5 - 25*p**4/8 - 7*p**2 - 2. Factor o(s).
3*s*(s - 1)*(s + 25)
Suppose -2*n**4 - 5*n**3 + 40*n**2 + 3*n**3 - 28*n**2 = 0. What is n?
-3, 0, 2
Suppose 0 = -2*c - c + 9. Let u be (-1384)/519*3*(-2)/8. Factor -i - 3*i - 16*i**u - 4*i - 2*i**4 - 10*i**c.
-2*i*(i + 1)*(i + 2)**2
Let x = 441 + -437. Let c(i) be the second derivative of 0 - 6*i + 1/24*i**3 - 1/32*i**x + 0*i**2 + 1/160*i**5. Determine y so that c(y) = 0.
0, 1, 2
Let k(i) be the first derivative of 69/8*i**4 + 21/10*i**5 + 15 + 39/4*i**2 + 3*i + 27/2*i**3. Factor k(w).
3*(w + 1)**3*(7*w + 2)/2
Let x(s) be the first derivative of 8*s - 9*s**2 + 4/3*s**3 - 13. Factor x(d).
2*(d - 4)*(2*d - 1)
Suppose 0 = -2*q - 4*z + 5*z - 59, 100 = -4*q - 4*z. Let c = q + 28. Find b, given that 0*b**2 - 2/3*b + c + 2/3*b**3 = 0.
-1, 0, 1
Let s = 101/6 + -67/4. Let l(q) be the third derivative of 2*q**2 - 1/24*q**4 + 1/120*q**5 + s*q**3 + 0 + 0*q. Find p, given that l(p) = 0.
1
Let d(c) = 9*c**2 + 178*c + 169. Let o(l) = 8*l**2 + 176*l + 168. Let h(g) = 3*d(g) - 4*o(g). Determine z so that h(z) = 0.
-33, -1
Find i, given that 0 - 1/11*i**4 + 1/11*i**2 + 2/11*i**3 - 2/11*i = 0.
-1, 0, 1, 2
Let m(p) = -7*p + 81. Let z be m(7). Let a be (z/(-40))/((-2)/(-5)) - -4. Factor -1/2*r - 1/4 - 1/4*r**a.
-(r + 1)**2/4
Let f be 75/10 - 4/8. Factor -f*z + 14*z**3 - 4*z + 18*z**2 + 15*z.
2*z*(z + 1)*(7*z + 2)
Suppose 21 - 5 = 16*w. Let q(h) = -56*h**3 + 140*h**2 - 112*h + 28. Let p(j) = j**3 - 1. Let r(z) = w*q(z) + 12*p(z). Determine m so that r(m) = 0.
2/11, 1, 2
Let u(f) = -15*f**3 + 40*f**2 + 225*f + 280. Let l(a) = -a**3 + 3*a**2 + 16*a + 20. Let s(p) = -55*l(p) + 4*u(p). Factor s(t).
-5*(t - 2)*(t + 1)*(t + 2)
Let u be 13 + 748/(-77) - (-8)/(-28). Factor 21/5*j - 6/5 - u*j**2.
-3*(j - 1)*(5*j - 2)/5
Let h = 741/121 + -3735/847. Determine g, given that 4/7*g**3 + 0*g**2 - h*g + 8/7 = 0.
-2, 1
Let d(j) = 2*j**2 + 3*j - 3. Suppose -r = -2*y - 2 - 0, -5*y = -5*r - 5. Let o(h) = 5*h**2 + 7*h - 7. Let g(i) = y*o(i) + 7*d(i). What is b in g(b) = 0?
0
Let c(y) be the second derivative of y**7/42 + 4*y**6/15 - 11*y**5/20 - 3*y**4/2 - 17*y + 3. Determine p, given that c(p) = 0.
-9, -1, 0, 2
Let g = -5 + 6. Let x(o) = -o**3 + o + 6. Let r be x(0). Factor g - r*n - n**2 + 3*n + 3*n.
-(n - 1)*(n + 1)
Let l(k) be the first derivative of 0*k + 16/5*k**5 + 0*k**3 + 0*k**2 + 4 + 2/3*k**6 + 3*k**4. Factor l(n).
4*n**3*(n + 1)*(n + 3)
Let o = -587 + 589. Let l(s) be the third derivative of 0*s**4 + 0*s**3 + 1/480*s**5 + 0*s - 5*s**o + 0 + 1/480*s**6. Factor l(y).
y**2*(2*y + 1)/8
Let j = -178 + 44. Let o = 942/7 + j. What is l in 0 - o*l + 6/7*l**3 - 2/7*l**2 = 0?
-2/3, 0, 1
Let a(l) be the third derivative of 24649*l**5/20 + 157*l**4/4 + l**3/2 - 2*l**2 - 50. Let a(o) = 0. What is o?
-1/157
Let s(d) = d**4 + d**3 + d - 1. Let a(f) = -3*f**4 - 8*f**3 - 12*f**2 - 12*f - 1. Let l(u) = -7*u + 25. Let r be l(4). Let j(i) = r*a(i) - 6*s(i). Factor j(y).
3*(y + 1)**3*(y + 3)
Let x(r) = -12*r**3 + 33*r**2 - 43*r - 27. Let w(p) = -3*p**3 + 8*p**2 - 11*p - 7. Let m(y) = 22*w(y) - 6*x(y). Solve m(n) = 0.
-1/3, 2
Let l(z) be the first derivative of -3*z**4/28 - 24*z**3/7 + 3*z**2/14 + 72*z/7 + 67. Find q, given that l(q) = 0.
-24, -1, 1
Let h(q) be the third derivative of -q**5/30 - 7*q**4/12 + 6*q**3 - 204*q**2. Determine j so that h(j) = 0.
-9, 2
Suppose -127 = -5*q + 8. Suppose -s + u = 9 - q, 4*s + u = 87. Let -15*b**4 + 37*b**3 - 9*b**2 + 24*b**2 - 10*b**3 - s*b**5 - 6*b + 0*b = 0. Calculate b.
-1, 0, 2/7, 1
Let h(k) be the third derivative of -k**6/300 + k**5/10 + 11*k**4/20 + 17*k**3/15 - 93*k**2. What is p in h(p) = 0?
-1, 17
Let y(w) be the second derivative of w**8/1120 - w**7/80 + 11*w**6/240 - w**5/16 + 7*w**3/2 - 15*w. Let r(m) be the second derivative of y(m). Factor r(x).
3*x*(x - 5)*(x - 1)**2/2
Solve -5/4*q**3 + 0 + 1/4*q**5 + 3/4*q**2 + 0*q + 1/4*q**4 = 0 for q.
-3, 0, 1
Let d(g) be the second derivative of g**7/210 + g**6/30 - g**5/20 - 3*g**4/4 - 16*g**2 - 30*g. Let i(y) be the first derivative of d(y). Factor i(l).
l*(l - 2)*(l + 3)**2
Suppose 0 = 3*q - 7 + 1. Suppose 3*l - 8*l = 2*y - 31, 2*l = q*y + 4. Suppose -1/2 - 7/4*t - 5/4*t**4 - t**l + 7/4*t**2 + 11/4*t**3 = 0. Calculate t.
-2, -1, -1/4, 1
Let t = 40 + -37. Determine j, given that -t*j**2 - 5*j + j**3 + j**4 - 4 + 0 + 0 + 2 = 0.
-1, 2
Solve 12*p + 2/3*p**2 - 38/3 = 0 for p.
-19, 1
Let l be (-69)/(-71) - (-1 + -3 + 5). Let v = l - -79/284. Determine n, given that -n**4 + 0 + 7/4*n**3 - 1/2*n**2 - v*n = 0.
-1/4, 0, 1
Let q(v) be the third derivative of v**6/72 - v**5/12 - v**3/2 - 3*v**2. Let j(c) be the first derivative of q(c). Factor j(s).
5*s*(s - 2)
Suppose 15*b - 18*b + 36 = 0. Suppose -b = -10*h + 7*h. Suppose 6*g**2 - 11*g**3 - 2*g**h - 4*g**4 - 4*g**3 - g**3 = 0. What is g?
-3, 0, 1/3
Let w(h) be the first derivative of h**3 + 141*h**2/2 - 330. Factor w(v).
3*v*(v + 47)
Determine v so that 44/5 - 2/5*v**3 + 26/5*v - 4*v**2 = 0.
-11, -1, 2
Let k = 2431/5 - 486. Suppose 2/5*q + k*q**3 + 0 + 3/5*q**2 = 0. What is q?
-2, -1, 0
Let p = -8052 - -56367/7. Let 0*x + 0 - 9*x**5 + 48/7*x**3 + 12/7*x**2 + p*x**4 = 0. Calculate x.
-2/3, -2/7, 0, 1
Let c(s) be the second derivative of -5*s**7/16 + 107*s**6/40 - 33*s**5/4 + 19*s**4/2 + s**3 - 6*s**2 - 202*s + 2. Solve c(n) = 0 for n.
-2/7, 2/5, 2
Suppose 6*h - 4*h - 4 = 0. Factor -1139*x + 1124*x - 4 - 5*x**h - 6.
-5*(x + 1)*(x + 2)
Find i, given that -2/7*i**3 + 26/7*i**2 + 0 - 24/7*i = 0.
0, 1, 12
Factor -22/3*b**2 + 4/3*b + 0.
-2*b*(11*b - 2)/3
Suppose -12 + 8 = 4*a. Let f(z) = 2*z**2 + z + 1. Let k be f(a). Factor 2/15*o**3 - 4/15*o**k + 0 + 0*o.
2*o**2*(o - 2)/15
Let c be ((-7948)/36 - 3) + 2. Let y = 222 + c. Determine k so that -y*k**2 + 4/9*k - 2/9 = 0.
1
Find u such that 1/5*u**4 - 9/5*u**3 + 0 + 0*u - 2*u**2 = 0.
-1, 0, 10
Let c(m) be the third derivative of -m**8/2520 + m**7/1260 + m**6/540 - m**5/180 + 17*m**3/6 + 42*m**2. Let b(y) be the first derivative of c(y). Factor b(h).
-2*h*(h - 1)**2*(h + 1)/3
Let q(k) be the first derivative of -k**4 - 16 - 1/5*k**5 + 0*k + 0*k**2 - k**3. Factor q(m).
-m**2*(m + 1)*(m + 3)
Let q be ((-6)/5)/(21/(-70)). Let w(o) = -o**3 + 3*o**2 + 6*o - 3. Let c be w(q). Solve 1/4*y**3 - 19/4*y**4 + 23/4*y**2 - 1 + 7/4*y**c - 2*y = 0.
-1, -2/7, 1, 2
Let o be ((-22)/77)/(9/(-21)). Let m(f) be the second derivative of 3*f**2 + 4*f + 0 + o*f**3 + 1/18*f**4. Factor m(u).
2*(u + 3)**2/3
Let r(a) be the second derivative of -a**5/40 - a**4/12 + a**3/3 + 2*a**2 - 39*a. Factor r(t).
-(t - 2)*(t + 2)**2/2
Let q(a) be the second derivative of 0 - 1/56*a**7 + 9/80*a**5 - 1/16*a**4 + 0*a**2 + 9*a - 1/4*a**3 + 1/40*a**6. Determine g, given that q(g) = 0.
-1, 0, 1, 2
Suppose 0*j = q + j + 9, 0 = 3*j - 15. Let a be ((-21)/(-28))/((-3)/q). Factor a*s**2 + 1/2 - 3/2*s**3 - 5/2*s.
-(s - 1)**2*(3*s - 1)/2
Let h(m) be the third derivative of m**5/100 + m**4/40 - 3*m**3/5 + 168*m**2. Find x such that h(x) = 0.
-3, 2
Let d = 313/10 + -31. Let f(a) be the third derivative of -7/60*a**6 + 0*a**3 + d*a**5 + 0*a - 3*a**2 + 0 - 1/6*a**4. Factor