erivative of 2*x**5/105 + x**4/7 - 18*x**2/7 - 54*x/7 + 402. Determine q so that d(q) = 0.
-3, 3
Let k(l) be the first derivative of -l**3/9 - l**2/3 + 5*l + 314. What is f in k(f) = 0?
-5, 3
Let j(b) be the second derivative of -b**7/14 - b**6/2 + 39*b**5/20 - 7*b**4/4 + 35*b - 1. Let j(s) = 0. What is s?
-7, 0, 1
Let n(h) = -22*h**3 - 3*h**2 - h. Let y be n(-1). Let c be 16/28*14/y. Let 0*i**3 + 1/5 + 0*i + 1/5*i**4 - c*i**2 = 0. Calculate i.
-1, 1
Let r(v) be the first derivative of 2*v**5/25 - v**4/10 - 26*v**3/15 + v**2/5 + 24*v/5 + 629. Find w, given that r(w) = 0.
-3, -1, 1, 4
Let h = -118/49 + 452/147. Factor 4/3*y**2 + 0 + h*y**3 + 2/3*y.
2*y*(y + 1)**2/3
Let l be (-44)/(-308) - (-20)/7. Suppose -l*a + 2 = z - 3, 3*z + 2*a - 8 = 0. What is u in 0*u + 0 + 2/3*u**z - 2/3*u**3 = 0?
0, 1
Let r(k) = -32*k**3 - 11*k**2 + 8*k - 10. Let d(m) = 38*m**3 + 12*m**2 - 8*m + 12. Let a(j) = -5*d(j) - 6*r(j). Solve a(n) = 0.
-4, 0, 1
Let a(i) = 7*i**5 - 5*i**4 - 8*i**3 + 40*i**2 + 4*i. Let m(h) = -15*h**5 + 9*h**4 + 15*h**3 - 81*h**2 - 9*h. Let o(r) = -9*a(r) - 4*m(r). What is q in o(q) = 0?
-2, 0, 2, 3
Let n(g) be the first derivative of -g**6/63 + 6*g**5/35 - 4*g**4/7 + 32*g**3/63 + 998. Let n(h) = 0. Calculate h.
0, 1, 4
Let w(g) = 2*g - 6. Let y(f) = 1. Let h(r) = w(r) - 2*y(r). Let x be h(6). Factor -16*z**2 + 6*z**2 - 5*z + 5*z**5 - 2*z**4 + 12*z**x.
5*z*(z - 1)*(z + 1)**3
Let t(n) be the second derivative of -5*n**4/12 + 45*n**2/2 - 56*n - 1. Let t(p) = 0. What is p?
-3, 3
Let w(s) be the first derivative of -6*s**5 - 69*s**4/8 - s**3/2 + 3*s**2/2 + 177. What is d in w(d) = 0?
-1, -2/5, 0, 1/4
Let u = -872 - -13081/15. Let p(o) be the third derivative of 0*o**4 + o**2 + 0*o**3 + 0*o + 0 - u*o**5. Factor p(d).
-4*d**2
Let a be 6/(-6)*-6 - (2 - -1). Let s be 2*4 + (-4)/(-4). Determine l, given that 4*l**2 - 20*l**2 - a - 1 - 20*l - s*l**2 = 0.
-2/5
Let 12315*a**3 + 3657*a**2 - 178*a - 66*a + 4332*a**5 + 25*a + 14351*a**4 - 1583*a**4 + 3 = 0. Calculate a.
-1, 1/38
Let z(u) = -2*u**3 + 8*u**2 + 27*u + 14. Let p(i) = -i**3 - 2*i. Let n(j) = -2*p(j) - 2*z(j). Factor n(g).
2*(g + 1)**2*(3*g - 14)
Let g(x) be the first derivative of -x**4 + 16*x**3/9 + 10*x**2/3 - 8*x/3 + 332. Solve g(j) = 0 for j.
-1, 1/3, 2
Let g(b) = 51*b**3 - 50*b**3 - 3*b**2 + 3*b**2. Let l(n) = 10*n**3 - 5*n**2 + 25*n - 15. Let x(v) = -15*g(v) + l(v). Factor x(f).
-5*(f - 1)**2*(f + 3)
Let i = -40 - -40. Let v(d) be the third derivative of 0*d**3 - 4/1365*d**7 + 2/195*d**5 + 0 + 1/156*d**4 + i*d - 1/780*d**6 + 7*d**2. Solve v(f) = 0 for f.
-1, -1/4, 0, 1
Let i(l) = 3*l**5 - 9*l**4 - 11*l**3 + 17*l**2 + 8*l + 4. Let m(t) = -t**3 - 2*t**2 + t - 1. Let z(p) = i(p) + 4*m(p). Factor z(j).
3*j*(j - 4)*(j - 1)*(j + 1)**2
Let u be (-390)/(-429)*1*11. Solve 16*t - 2*t**4 + u*t**2 + 2/5*t**5 - 2*t**3 + 32/5 = 0 for t.
-1, 4
Let j = -1039 - -4159/4. Factor -j*f**3 + 3/4*f + 0*f**2 + 3/8*f**4 - 3/8.
3*(f - 1)**3*(f + 1)/8
Let s(t) be the second derivative of t**5/4 - 35*t**3/2 + 50*t**2 - 792*t. Factor s(g).
5*(g - 4)*(g - 1)*(g + 5)
Factor -25/3 + 28/9*b - 1/9*b**2.
-(b - 25)*(b - 3)/9
Factor -1/3*q**3 - 7/3*q + 5/3*q**2 + 1.
-(q - 3)*(q - 1)**2/3
Solve -2/7*o**2 - 16/7*o - 2 = 0.
-7, -1
Let i(w) = 172*w**3 + 188*w**2 + 13*w - 3. Let p(a) = 1205*a**3 + 1315*a**2 + 90*a - 20. Let k(d) = -20*i(d) + 3*p(d). Find z such that k(z) = 0.
-1, -2/35, 0
Let b(q) be the second derivative of 0 - 46*q - 3/10*q**5 + 1/3*q**4 + 0*q**2 + 1/3*q**3. Find n, given that b(n) = 0.
-1/3, 0, 1
Let v(x) be the first derivative of -x**4/10 + 2*x**3/3 - 2*x**2/5 - 16*x/5 + 48. What is o in v(o) = 0?
-1, 2, 4
Factor -84*i + 80 + 15*i**2 - 162*i - 13*i + 14*i.
5*(i - 16)*(3*i - 1)
Let q(h) be the third derivative of h**6/210 - h**5/3 + 323*h**4/42 - 578*h**3/21 + h**2 + 3. Factor q(b).
4*(b - 17)**2*(b - 1)/7
Let d(z) be the first derivative of -z**4/42 + 2*z**3/63 + 5*z**2/21 + 2*z/7 - 30. Solve d(n) = 0 for n.
-1, 3
Let r(n) = -n + 10*n + 9*n**3 - 8*n**2 + 110 - 105. Let g(v) = -10*v**3 + 8*v**2 - 10*v - 6. Let z(d) = -5*g(d) - 6*r(d). Let z(b) = 0. What is b?
0, 1
Let y be (-12)/(-1) + (-130)/13. Factor -1/10*p**5 + 3/10*p**3 + 0 + 1/5*p**y + 0*p + 0*p**4.
-p**2*(p - 2)*(p + 1)**2/10
Let h(z) be the second derivative of -17*z + 0 - 1/2*z**2 + 1/6*z**3 + 1/42*z**7 - 1/10*z**5 - 1/30*z**6 + 1/6*z**4. Factor h(g).
(g - 1)**3*(g + 1)**2
Suppose 16 = -2*k + 5*d, -2 = -k - 2*k + d. Let n be (-6)/k + 2*(-255)/(-110). Factor 2/11*o**2 + n + 12/11*o.
2*(o + 3)**2/11
Let p(v) = -v**2 + 3*v + 2. Let z(y) = -y**2 - 3*y + 22. Let k(u) = -3*p(u) + z(u). Factor k(c).
2*(c - 4)*(c - 2)
Suppose 0 = 3*k + 5 + 1. Let t(x) = x**2 + x + 1. Let v(b) = -9*b**2 - 5*b - 2. Let q(p) = k*t(p) - v(p). What is s in q(s) = 0?
-3/7, 0
Factor -5 - h**3 + 20 - h**3 + 248*h**2 + 250*h - 15.
-2*h*(h - 125)*(h + 1)
Let w(q) be the first derivative of 1/66*q**4 + 6*q - 1/33*q**3 + 2 + 0*q**2. Let m(n) be the first derivative of w(n). Determine d so that m(d) = 0.
0, 1
Let t(o) be the third derivative of 2/17*o**3 + 11/204*o**4 + 0 + 10*o**2 + 1/85*o**5 + 0*o + 1/1020*o**6. Suppose t(q) = 0. Calculate q.
-3, -2, -1
Let l(m) be the third derivative of 0*m**3 + 1/4*m**4 + 1/20*m**5 + 0 - 7/10*m**6 - 16*m**2 + 0*m. Factor l(i).
-3*i*(4*i + 1)*(7*i - 2)
Factor -42*r**3 - 109*r**4 - 210 - 45*r**2 + 210*r**4 - 106*r**4 - 33*r**3 + 335*r.
-5*(r - 1)**2*(r + 3)*(r + 14)
Suppose 0 = -3*s - 5*n - 16, n + 3 - 7 = -3*s. Suppose 0*x**s + x**3 - 4*x**3 = 0. What is x?
0
Let o(a) be the second derivative of a**7/42 - a**6/10 + a**5/20 + a**4/4 - a**3/3 + 432*a. Factor o(k).
k*(k - 2)*(k - 1)**2*(k + 1)
Suppose 0 = -p - 5*k - 8, 76 = -p - 2*p - 2*k. Let v = p - -59/2. Factor -v*l**4 + 0 - 3/4*l + 0*l**3 + 3/2*l**2 + 3/4*l**5.
3*l*(l - 1)**3*(l + 1)/4
Let f(q) be the second derivative of 3*q + q**3 + 39/40*q**5 - 3/10*q**6 + 1/28*q**7 + 0*q**2 + 0 - 3/2*q**4. Solve f(b) = 0 for b.
0, 1, 2
Let f = -782 - -1207. Let a = 8927/21 - f. Determine o, given that -4/7*o**2 + 2/3*o - a = 0.
1/6, 1
Let s(g) = -g**2 + 9*g + 3. Let k be s(9). Suppose 0 = -k*p - c, 4*p + p = 4*c. What is h in p*h**2 + 2*h**2 + 2*h**2 + 12*h = 0?
-3, 0
Let k = -4 - -16. Let v = -6 + k. Let -2*a**2 + 8*a**4 - 2*a + 2*a**3 - v*a**4 + 0*a**4 = 0. Calculate a.
-1, 0, 1
Let u(w) be the first derivative of -18 + 13/8*w**2 + 1/4*w**3 - 5/2*w. Solve u(a) = 0 for a.
-5, 2/3
Let u(p) = 369*p**2 - 8*p + 17*p - 378*p**2. Let b(l) = -l**2 + l. Let c(m) = -40*b(m) + 5*u(m). Let c(s) = 0. Calculate s.
0, 1
Let a(m) be the second derivative of -m**9/34020 - m**8/10080 + m**7/5670 - 7*m**4/6 + 6*m. Let q(b) be the third derivative of a(b). Factor q(p).
-2*p**2*(p + 2)*(2*p - 1)/9
Let o(l) = -l**2 + 7*l - 2. Let b be o(6). Determine p so that 25*p**2 - 10*p**4 - 3*p**4 + p**b + 10*p + 2*p**4 + 5*p**3 = 0.
-1, -1/2, 0, 2
Let w(c) = 31*c**2 - 2*c + 1 - 32*c**2 + 0. Let l be w(0). Factor -5*f**3 + l + f**3 + 20*f + 11 + 4*f**2.
-4*(f - 3)*(f + 1)**2
Suppose -140 + 140 = q. Let v(c) be the third derivative of -1/40*c**6 + 0*c**5 + 2*c**2 + 0*c + 0*c**3 + 1/8*c**4 + q. Factor v(t).
-3*t*(t - 1)*(t + 1)
Let l be (-16 + 2)*-3*2/21. Let g be (-217)/620 + 3/l. Find h such that -11/5*h**5 + 42/5*h**4 + 32/5*h**2 - 58/5*h**3 - g - 3/5*h = 0.
-2/11, 1
Find u such that -11/6*u**2 + 1/6*u**3 + 17/3*u - 4 = 0.
1, 4, 6
Let m = 13/8 + -31/24. Let x(j) be the second derivative of -4*j + 0 - j**2 + 1/6*j**4 + 1/10*j**5 - m*j**3. Suppose x(k) = 0. What is k?
-1, 1
Let s = 22726 - 22724. Factor 5/4*j + 1/4*j**s + 1.
(j + 1)*(j + 4)/4
Let f(v) be the second derivative of -v**4/72 - v**3/36 + v**2/6 + 4*v + 10. Factor f(t).
-(t - 1)*(t + 2)/6
Let p be (11 + (-51)/6)*6/30. Find d such that d**2 - 1/2*d + d**3 - 1/2*d**5 - p - 1/2*d**4 = 0.
-1, 1
Let x = -9792 + 48962/5. Factor 4/5*o + 2/5 + x*o**2.
2*(o + 1)**2/5
Factor -92*z**4 + 168*z**3 + z**2 + 901*z**5 - 21*z**2 - 885*z**5 - 60*z**2 - 32*z.
4*z*(z - 2)**3*(4*z + 1)
Determine s so that s**5 - 8/5*s**2 + 0*s + 11/5*s**4 + 0 - 2/5*s**3 = 0.
-2, -1, 0, 4/5
Let g(a) be the second derivative of -11*a**4/27 + 10*a**3/27 + 4*a**2/3 - 944*a. Let g(o) = 0. What is o?
-6/11, 1
Suppose -2*s = -6*s + 16. Let z be (s/2)/8*8. Factor 2 + 4*r**2 + z*r + 3*r + 4*r.
(r + 2)*(4*r + 1)
Suppose -2264*f