*x**4 - 12*x**2 + 0. Factor j(m).
-4*(m + 2)*(m + 3)
Let d = -57158 - -57158. Find r such that d + 2/13*r**2 + 2/13*r = 0.
-1, 0
Let u(m) be the third derivative of m**5/45 - 41*m**4/9 + 3362*m**3/9 - 135*m**2. Find l, given that u(l) = 0.
41
Let l(h) be the first derivative of -1/20*h**5 + 0*h - 1/4*h**2 - 15 + 1/8*h**4 + 1/12*h**3. What is x in l(x) = 0?
-1, 0, 1, 2
Let u(g) be the first derivative of -19 + 2/5*g**3 + 1/10*g**6 + 0*g + 0*g**4 - 6/25*g**5 - 3/10*g**2. Factor u(w).
3*w*(w - 1)**3*(w + 1)/5
Let f be (1 - 1)*7/(-14) + 2. Factor -19*j**2 - 5*j**3 + 3*j**f + 3*j**2 - 2*j**2 - 10*j.
-5*j*(j + 1)*(j + 2)
Suppose 138*z - 127*z - 22 = 0. Find a, given that 0*a + 1/8 - 3/8*a**4 - 3/4*a**z + a**3 = 0.
-1/3, 1
Let y(z) be the first derivative of -3*z**3 - 30*z**2 - 78. Solve y(d) = 0.
-20/3, 0
Let z(j) be the third derivative of j**5/15 + 13*j**4/6 + 44*j**3/3 - 4*j**2 - 27*j. Factor z(v).
4*(v + 2)*(v + 11)
Let v(c) be the second derivative of c**6/150 + c**5/25 - c**4/20 - 3*c**3/5 - 111*c. Factor v(t).
t*(t - 2)*(t + 3)**2/5
Let o = 143 + -139. Let p(c) be the first derivative of -1/6*c**4 - 2/9*c**3 + 2/3*c**2 + 0*c - o. Determine m, given that p(m) = 0.
-2, 0, 1
Factor 64/7*r + 4/7*r**5 + 4/7*r**3 + 24/7*r**4 - 96/7*r**2 + 0.
4*r*(r - 1)**2*(r + 4)**2/7
Determine y, given that -85*y**2 - 50*y**4 - 38*y**2 + 180 - 60*y**3 + 165*y - 100*y**3 + 0*y**5 - 7*y**2 - 5*y**5 = 0.
-4, -3, -1, 1
Let s(h) = -h**2 - 23*h - 28. Let j(t) = -4*t**2 - 95*t - 111. Let g(c) = -2*j(c) + 9*s(c). Factor g(u).
-(u + 2)*(u + 15)
Let a(b) be the second derivative of b**6/1620 + b**5/270 - 2*b**4/27 + b**3/2 - 3*b**2/2 + 25*b + 2. Let o(q) be the second derivative of a(q). Factor o(d).
2*(d - 2)*(d + 4)/9
Let a(o) be the third derivative of o**6/120 + o**5/4 - 3*o**4 + 38*o**3/3 - 501*o**2. Factor a(d).
(d - 2)**2*(d + 19)
Let t(u) = 19*u**3 + 298*u**2 + 14*u - 7. Let b(g) = -6*g**3 - 100*g**2 - 4*g + 2. Let y(j) = 7*b(j) + 2*t(j). Let y(l) = 0. What is l?
-26, 0
Let n(d) = d**3 + 26*d**2 + 114*d + 1039. Let v be n(-23). Find i such that 0 - 2/3*i**3 + 1/3*i**v + 1/3*i**2 + 0*i = 0.
0, 1
Let s(k) be the first derivative of 8/21*k**3 - 5/7*k**2 + 1 + 2/7*k. Factor s(p).
2*(p - 1)*(4*p - 1)/7
Let z = 39 - 41. Let p(u) = u**2 - 11*u - 7. Let h(n) = 4*n + 2. Let k(i) = z*p(i) - 7*h(i). Find f, given that k(f) = 0.
-3, 0
Let h = -2088 + 2088. Factor h + 0*d + d**2 + 1/2*d**3.
d**2*(d + 2)/2
Determine b so that -350 + 10*b + 45*b**4 + 2*b**3 + 23*b**3 - 45*b**2 - 35*b**5 + 350 = 0.
-1, 0, 2/7, 1
Let d be (-16)/(-44)*(-110)/(-20). Factor -46/5*b - 12/5 - 14/5*b**d.
-2*(b + 3)*(7*b + 2)/5
Let g(r) be the second derivative of -3*r + 0*r**3 + 0 + 2*r**2 + 1/240*r**6 + 1/12*r**4 - 1/30*r**5. Let z(a) be the first derivative of g(a). Factor z(f).
f*(f - 2)**2/2
Let c be 36/(-8)*4/(-3). Let j = -33 - -42. Suppose c*d**2 + 6*d**3 + j*d + 2 - 4*d**3 - 3*d = 0. Calculate d.
-1
Let r = -6 + 15. Let q = r + -4. Factor -3*p**5 - 3*p**3 + 6*p**4 - p**5 + p**q.
-3*p**3*(p - 1)**2
Let t(d) be the third derivative of -d**7/24 + d**6/8 - d**5/12 - 17*d**3/3 - 45*d**2. Let s(a) be the first derivative of t(a). Factor s(g).
-5*g*(g - 1)*(7*g - 2)
Let p be (-29)/(-29) + (1 - 0)*22. Factor -23*u + 5 + 5*u**2 + 36*u - p*u.
5*(u - 1)**2
Let a(c) be the second derivative of -5*c**4/12 - 25*c**3/6 - 10*c**2 - 7*c + 1. Find z, given that a(z) = 0.
-4, -1
Let o = -489/4 - -26903/220. Let d = 169/110 - o. Factor -q - 2 + 5/4*q**3 + d*q**2 + 1/4*q**4.
(q - 1)*(q + 2)**3/4
Let p(o) be the second derivative of 3*o**4/10 + 44*o**3/15 - o**2 + o + 15. Factor p(f).
2*(f + 5)*(9*f - 1)/5
Let m(j) be the second derivative of 0*j**3 + 2/21*j**7 + 2/15*j**6 + 0*j**4 + 0*j**5 + 16*j + 0*j**2 + 0. Factor m(g).
4*g**4*(g + 1)
Let g(q) = -2*q + 18. Let j be g(8). Factor -40*b**5 + 37*b**5 - b**2 + 9*b**3 + 7*b**j.
-3*b**2*(b - 2)*(b + 1)**2
Let z(b) be the second derivative of -5*b**4/12 + 25*b**3/6 - 10*b**2 + 465*b. Solve z(y) = 0.
1, 4
Let t(f) = -8*f**2 - f. Let c(s) = 42*s**2 + 749*s + 69192. Let y(n) = c(n) + 5*t(n). Solve y(m) = 0 for m.
-186
What is b in -34/3*b - 32/3 + 62/3*b**2 + 4/3*b**3 = 0?
-16, -1/2, 1
Let x be (-362)/(-28) - ((-1392)/(-112) + -12). Factor 1/2*c**2 + x + 5*c.
(c + 5)**2/2
Suppose -5*t = 10, 4*w - t - 6 = 3*w. Let r(x) be the third derivative of -6*x**2 + 0*x**w + 1/30*x**6 + 0 + 0*x + 0*x**3 + 2/15*x**5. Factor r(g).
4*g**2*(g + 2)
Let f be ((-1678)/(-98) - 17)/(1/7). Let k = 4 + -1. Let 24/7*x**4 + 0 - 2*x**5 + 0*x - f*x**k - 4/7*x**2 = 0. What is x?
-2/7, 0, 1
Let c(x) be the second derivative of -3*x**6/40 - x**5/10 + 3*x**4/8 + x**3 - 17*x**2/2 + 6*x. Let t(a) be the first derivative of c(a). Solve t(w) = 0.
-1, -2/3, 1
Factor 5/8*o**2 - 1/8 - 1/2*o.
(o - 1)*(5*o + 1)/8
Let x(z) be the third derivative of -z**5/100 - z**4/5 - 8*z**3/5 - 5*z**2 + z. Factor x(c).
-3*(c + 4)**2/5
Suppose -t + 2*z - 1 = 3, 0 = 2*t - 3*z + 3. Let 5 - 2*i**2 - 13 - 8*i**2 - 12*i + t*i**2 = 0. What is i?
-2, -1
Factor -296*i + 101*i - 35*i**2 - 3 + 39 - 5 + 59.
-5*(i + 6)*(7*i - 3)
Let s be 19/4 + (-12)/(-48). Let y(m) be the first derivative of 2*m - 2*m**2 + 2/3*m**3 + s. Factor y(t).
2*(t - 1)**2
Let p(r) = 8*r**3 - 103*r**2 + 188*r - 93. Let a(l) = -105*l**3 + 1340*l**2 - 2445*l + 1210. Let d(v) = 3*a(v) + 40*p(v). Solve d(f) = 0 for f.
1, 18
Let u(o) be the first derivative of 11*o**6/900 - 13*o**5/300 + o**4/30 - 3*o**3 + 13. Let h(t) be the third derivative of u(t). Suppose h(f) = 0. What is f?
2/11, 1
Find u such that -1/6*u**4 + 0*u + u**3 + 8/3*u**2 + 0 = 0.
-2, 0, 8
Let j(t) = -7*t**3 - 8*t**2 + 19*t + 15. Let a(m) = -4*m**3 - 4*m**2 + 10*m + 7. Let k(n) = 5*a(n) - 3*j(n). Suppose k(o) = 0. Calculate o.
-5, -1, 2
Let b(r) = -r**2 - r + 5. Suppose 0*j = -3*j + 21. Suppose -j - 18 = 5*g. Let s(c) = -1. Let y(x) = g*s(x) - b(x). Factor y(p).
p*(p + 1)
Let q be (8/(-5))/(2/(-5)). Let o be (-6)/12 - -2 - 6/q. Suppose -s**4 + 0*s + 0 - 2/3*s**3 + o*s**2 - 1/3*s**5 = 0. What is s?
-2, -1, 0
Let o be -18*40/(-300) + (4 - 0). Factor o*z**2 + 0*z - 2/5.
2*(4*z - 1)*(4*z + 1)/5
Let h = 76 + -73. Let i(s) be the second derivative of -2*s + 0*s**2 + 1/30*s**5 + 1/9*s**4 + 0 + 1/9*s**h. Factor i(d).
2*d*(d + 1)**2/3
Let g(t) be the first derivative of -7 - 3/16*t**4 + 15/8*t**2 + 3/4*t**3 - 3/20*t**5 + 3/2*t. Find u, given that g(u) = 0.
-1, 2
Suppose -5*w - 20 = 0, w - 2*w = -2*t + 12. Let i be t/(16/12)*6/9. Factor 3/2 - o - 1/2*o**i.
-(o - 1)*(o + 3)/2
Let q(f) be the second derivative of -5*f**4/6 + 25*f**3/2 + 20*f**2 - 215*f. Factor q(a).
-5*(a - 8)*(2*a + 1)
Let v(k) be the first derivative of -2*k**5/75 - 4*k**4 - 7436*k**3/45 - 472*k**2 - 6962*k/15 + 472. Factor v(y).
-2*(y + 1)**2*(y + 59)**2/15
Suppose 243*m - 245*m + 204 = 0. Let l = -203/2 + m. Factor 4/3*b**4 + 7/6*b**3 + 0 + l*b**5 + 0*b + 1/3*b**2.
b**2*(b + 1)**2*(3*b + 2)/6
Let s(q) be the first derivative of q**4/4 + 16*q**3/3 + 8*q**2 + 18*q + 4. Let a be s(-15). Factor 0*k**3 + 6*k + 12*k**2 + 4*k - k + 3*k**a.
3*k*(k + 1)*(k + 3)
Suppose 67 = a - 216*a + 497. Determine y, given that 20 + 1/5*y**a - 4*y = 0.
10
Let y(q) be the second derivative of 0*q**2 + 0 + 0*q**3 + 1/33*q**4 + 1/110*q**5 - 9*q. Suppose y(z) = 0. What is z?
-2, 0
Let i(f) be the third derivative of f**5/12 - 5*f**4/12 + 5*f**3/6 - 68*f**2. Solve i(g) = 0.
1
Let c(s) be the second derivative of -s**5/35 + 4*s**4/21 - 10*s**3/21 + 4*s**2/7 + 15*s - 2. Factor c(d).
-4*(d - 2)*(d - 1)**2/7
Let p = -1435 - -30137/21. Find j such that 0*j**3 + 2/21*j**2 + 0 - p*j**4 + 0*j = 0.
-1, 0, 1
Let o be (-4)/(-4) - (-102)/(-93). Let x = 49/186 + o. Factor 0*d + x*d**2 + 0.
d**2/6
Let j(g) = -g**3 - 2*g**2 + 2*g + 6. Let v be j(0). Let z(x) be the second derivative of -v*x**2 - 77/4*x**4 + 147/20*x**5 + 16*x**3 + 0 + 6*x. Solve z(y) = 0.
2/7, 1
Suppose 5*c**3 - 39*c**3 + 21*c**3 + 15*c**3 + 44*c**2 = 0. What is c?
-22, 0
Let k(t) be the first derivative of 88/51*t**3 + 4/85*t**5 - 12/17*t + 10 - 21/17*t**4 - 5/17*t**2 + 7/51*t**6. Let k(c) = 0. Calculate c.
-3, -2/7, 1
Suppose -4 = 4*i, -f + 4 + 2 = -2*i. Let v = 2 + f. Factor 2*h**2 - 5 - 5*h**2 + v*h + 14.
-3*(h - 3)*(h + 1)
Let k(n) be the first derivative of -n**7/168 + n**6/72 + n**5/6 - 5*n**4/6 - 5*n**3/3 - 6. 