, 2/3, 1
Let t(p) be the second derivative of p**3 + 1/3*p**4 + 0 + 2*p**2 + 1/30*p**5 - p. Let j(c) be the first derivative of t(c). Determine d, given that j(d) = 0.
-3, -1
Let z(f) be the first derivative of -1/3*f**3 + 3*f + f**2 + 21. Factor z(b).
-(b - 3)*(b + 1)
Let a(z) be the first derivative of 0*z + 9 + 1/4*z**3 - 1/4*z**2. Factor a(c).
c*(3*c - 2)/4
Let y(g) be the second derivative of -g**5/5 + g**4 + 8*g**3/3 - 53*g. Factor y(s).
-4*s*(s - 4)*(s + 1)
Suppose 3*p - 10 = -0*p + i, 4*p - 9 = -3*i. Factor 31*h**3 + 6*h - 36*h + 33*h**3 - 59*h**p + 5*h**2.
5*h*(h - 2)*(h + 3)
Find v such that 8/5*v - v**4 + 1/5*v**2 + 4/5 - 7/5*v**3 - 1/5*v**5 = 0.
-2, -1, 1
Let n = -2139 - -2139. Let s(p) be the third derivative of -p**2 + 0*p + 0*p**3 + 1/10*p**5 + 1/40*p**6 - 3/8*p**4 + n. Suppose s(t) = 0. What is t?
-3, 0, 1
Let p(x) be the first derivative of 2*x**5/5 + 3*x**4/4 - 44*x**3/3 + 57*x**2/2 - 18*x - 748. Let p(d) = 0. What is d?
-6, 1/2, 1, 3
Let o = 818 - 2452/3. Let g = -593 + 8899/15. Factor 14/15*m - o*m**2 - g.
-2*(m - 1)*(5*m - 2)/15
Let t(p) = p**3 - 12*p**2 + 12*p - 10. Let j be t(11). Suppose 10*f - 6 + 6 - f**2 - 24 - j = 0. What is f?
5
Suppose 16/9*q + 2/9*q**3 - 8/9 - 10/9*q**2 = 0. What is q?
1, 2
Let h = -53 - 19. Let i = h + 145/2. Factor -1/4*r**4 - 1/4*r**2 + i - 3/4*r + 3/4*r**3.
-(r - 2)*(r - 1)**2*(r + 1)/4
Find a such that 27/7*a - 6*a**5 - 3/7*a**2 - 93/7*a**3 + 117/7*a**4 - 6/7 = 0.
-1/2, 2/7, 1
Let k be (5/2)/((-3)/(-18)). Suppose -2*j + 0*o = o - 3, 2*j = 3*o + k. What is g in -3/7*g**4 - 12/7*g - 15/7*g**j + 0 - 24/7*g**2 = 0?
-2, -1, 0
Suppose -p - 3*p = -20. Suppose p*n + 4*f = -2, 0 = n - 5*f - 7 - 10. Suppose 0*q**n - 2/5 - 1/5*q**3 + 3/5*q = 0. What is q?
-2, 1
Let m(f) be the first derivative of 5*f**3/3 - 20*f**2 - 100*f + 664. What is b in m(b) = 0?
-2, 10
Let c be (-12)/(-10) + 1/(-5). Let w be (3 - c)*(-42)/(-35). Factor -16/5*i + w + 4/5*i**2.
4*(i - 3)*(i - 1)/5
Let l(m) be the first derivative of 2*m**3 + m**2 - 3 + 0*m + 3/2*m**4 + 2/5*m**5. Determine k so that l(k) = 0.
-1, 0
Let m(j) = -14*j + 1. Let y be m(1). Let f = y + 23. Determine h so that -630*h**3 + f*h**2 + 45*h**2 - 24*h - 548*h**4 - 259*h**2 - 375*h**5 - 277*h**4 = 0.
-1, -2/5, 0
Let d(y) be the first derivative of -2*y**5/35 - 89*y**4/14 - 1406*y**3/7 - 817*y**2 - 7396*y/7 + 265. Find i, given that d(i) = 0.
-43, -2, -1
Let x(w) be the third derivative of w**8/336 + 17*w**7/210 + 43*w**6/120 - 241*w**5/60 + 35*w**4/3 - 50*w**3/3 - 4*w**2 + 14. Factor x(r).
(r - 1)**3*(r + 10)**2
Let z(i) = -i**3 - 10*i**2 - 10*i + 3. Let c be z(-9). Suppose 2*l = 5*l - 6. Factor -t**2 - c + 0*t - l*t + 11.
-(t + 1)**2
Suppose 2*b = -5*u - b + 26, u + 5*b = 14. Let n be u/6 + (-84)/180. Suppose -n*k**3 + 0 + 2/5*k - 1/5*k**2 = 0. Calculate k.
-2, 0, 1
Factor -338/7 - 2/7*g**2 - 52/7*g.
-2*(g + 13)**2/7
Let c(u) = -u - 1. Let a(b) be the third derivative of -b**5/60 + b**4/8 + 2*b**3/3 - 46*b**2. Let y(h) = 2*a(h) + 4*c(h). Factor y(s).
-2*(s - 2)*(s + 1)
Suppose 12*c - 24*c + 13*c = 0. Let l(t) be the second derivative of 3/16*t**4 - 4*t + c - 1/4*t**3 - 1/20*t**5 + 1/8*t**2. Factor l(f).
-(f - 1)**2*(4*f - 1)/4
Let x = 698/4407 + -15/113. Let n(b) be the first derivative of 2/65*b**5 + 2/13*b - x*b**6 - 1/13*b**2 + 1/13*b**4 - 4/39*b**3 + 12. Factor n(l).
-2*(l - 1)**3*(l + 1)**2/13
Solve -18/11*h**3 + 2/11*h**5 + 10/11*h**4 + 16/11*h - 34/11*h**2 + 24/11 = 0 for h.
-6, -1, 1, 2
Suppose 0 = -u - 2*u + 6. Let 2*a**5 - a**4 - 3*a**4 + 10*a**4 - 8*a**u = 0. Calculate a.
-2, 0, 1
Suppose 4*a + 4*k = 0, -83*a = -85*a + 2*k + 8. What is q in 16/3 - 2/3*q**a - 4/3*q = 0?
-4, 2
Factor -6/7*y**2 + 0 + 108/7*y.
-6*y*(y - 18)/7
Let j be 2*6 + (-1)/((-1)/(-2)). Let z be j/25 - 2/5. Determine y, given that 2/13*y**2 + z*y + 0 + 2/13*y**3 = 0.
-1, 0
Suppose 32/11*h - 6/11*h**5 + 26/11*h**4 - 8/11 - 18/11*h**2 - 26/11*h**3 = 0. Calculate h.
-1, 1/3, 1, 2
Let n(s) be the first derivative of s**7/525 - s**6/100 + s**5/150 + s**4/20 - 2*s**3/15 + 5*s**2 - 16. Let o(h) be the second derivative of n(h). Factor o(j).
2*(j - 2)*(j - 1)**2*(j + 1)/5
Let g(k) be the third derivative of k**8/896 - k**7/560 - 3*k**6/160 - k**5/80 + 5*k**4/64 + 3*k**3/16 + 202*k**2. Solve g(f) = 0 for f.
-1, 1, 3
Let h(v) be the first derivative of -v**5/5 - v**4/4 + v**3/3 + v**2/2 - 48. Factor h(u).
-u*(u - 1)*(u + 1)**2
Let t(k) = -6*k**2 + 8*k - 6. Suppose 3*q = 4*g - 2, -2*q - 6 + 43 = 5*g. Let s(h) = -5*h**2 + 7*h - 6. Let p(n) = q*t(n) - 7*s(n). Factor p(v).
-(v - 2)*(v + 3)
Let f(y) = -7*y**3 + 36*y**2 - 21*y - 70. Let d(s) = 8*s**3 - 36*s**2 + 20*s + 72. Let n(k) = -3*d(k) - 4*f(k). Factor n(g).
4*(g - 8)*(g - 2)*(g + 1)
Factor 0*i**2 + 1/8*i**3 + 0 + 0*i + 1/8*i**5 + 1/4*i**4.
i**3*(i + 1)**2/8
Let v(b) be the first derivative of b**5/35 - 9*b**4/28 + 25*b**3/21 - 27*b**2/14 + 10*b/7 + 385. Factor v(c).
(c - 5)*(c - 2)*(c - 1)**2/7
Find f, given that 4/5*f**3 - 800 - 24*f**2 + 240*f = 0.
10
Let b(o) = -10*o**2 - 2*o - 1. Let m(q) = 17*q**2 + 4*q + 2. Let f(x) = 5*b(x) + 3*m(x). Factor f(n).
(n + 1)**2
Let f(x) be the first derivative of 0*x - 19 + 1/6*x**4 + 2/15*x**5 + 0*x**2 + 0*x**3. Factor f(h).
2*h**3*(h + 1)/3
Let v = 43 + -36. Let m(t) = -t - 3. Let r be m(-6). Factor -l**2 - v*l**2 + 7*l**2 + l + 1 - l**r.
-(l - 1)*(l + 1)**2
Let j(z) = 11*z**2 + 59*z + 22. Let d be j(-5). Factor 3*s**4 - 9/5*s**5 + 0*s - 6/5*s**3 + 0 + 0*s**d.
-3*s**3*(s - 1)*(3*s - 2)/5
Let s = 1/770 - -71/4620. Let r(o) be the second derivative of 1/168*o**7 + s*o**6 - 1/24*o**4 + o + 0*o**5 + 0*o**2 - 1/24*o**3 + 0. Factor r(p).
p*(p - 1)*(p + 1)**3/4
Let b be 48/(-9) + 10 - (-9)/(-54). Find t such that -5/6*t**3 + 4/3 + b*t**2 - 5*t = 0.
2/5, 1, 4
Let y(u) = -u**3 + 10*u**2 + 3. Let a be y(10). Let d(f) = f**2 + 5*f - 3. Let m be d(-6). Let -m + 7 - 11*o**a + 6*o + 6*o**2 - 2 + 13*o**3 = 0. Calculate o.
-1
Suppose 0 = y - 2*f + 5, 3*y - 33 = -5*f + 7. Factor -o**5 + 3*o**4 - 7 + 6*o**2 + 23 - 22*o**2 + y*o**3 - o**3.
-(o - 2)**3*(o + 1)*(o + 2)
Let l(q) be the third derivative of -q**5/60 - 11*q**4/24 - 14*q**3/3 + 11*q**2. Solve l(m) = 0.
-7, -4
Let b be ((-4)/6)/((-82)/9). Let a = b - -23/246. Factor -a*w**2 + 0*w + 0.
-w**2/6
Let g(n) be the first derivative of -2/3*n**3 - n**2 + 4 - 5*n - 1/6*n**4. Let a(u) be the first derivative of g(u). Solve a(m) = 0.
-1
Suppose 0 = 2*h + 3*h - 25. What is l in -60*l - 158*l**2 - 60*l**4 - 3 + 51*l**2 - 145*l**3 - h - 43*l**2 - 9*l**5 = 0?
-2, -1/3
Let g(q) be the first derivative of 1/15*q**4 - 8/15*q + 14/45*q**3 - 9 + 4/15*q**2. Let g(a) = 0. What is a?
-2, 1/2
Let p(r) be the second derivative of -3*r**5/20 - 5*r**4/2 - 9*r**3/2 - 51*r + 6. Factor p(q).
-3*q*(q + 1)*(q + 9)
Let k be (0 + -4)*-1 - (-8)/(-2). Let v(l) be the third derivative of 0*l - 7/240*l**5 - 1/12*l**3 - 5*l**2 - 3/32*l**4 + k. Factor v(j).
-(j + 1)*(7*j + 2)/4
Let m(g) be the third derivative of g**5/15 + 11*g**4 + 726*g**3 + 106*g**2. Factor m(j).
4*(j + 33)**2
Let g = -8/649 + 689/3245. Determine n, given that 3/5*n + 0 - g*n**2 = 0.
0, 3
Let -3/2*o**4 - 51/2*o**3 + 171/2*o**2 - 177/2*o + 30 = 0. What is o?
-20, 1
Find h such that 2/13*h**2 + 0 - 12/13*h + 2/13*h**3 = 0.
-3, 0, 2
Let d(p) = -99*p - 789. Let n be d(-8). Suppose -4/5*g + 0 - 4/5*g**n + 8/5*g**2 = 0. What is g?
0, 1
Suppose 5*x - 2 = 3*x. Suppose -2*d = -3*d + x. Factor o**2 + d - 2*o + 0*o + 4*o + 0.
(o + 1)**2
Factor -35625*x - 17*x**2 - 8*x**2 + 80 + 35545*x.
-5*(x + 4)*(5*x - 4)
Factor 1/6*o**4 - 598/3*o + 217/3*o**2 + 22/3*o**3 - 529/2.
(o - 3)*(o + 1)*(o + 23)**2/6
Suppose 1/2*f**4 + 3*f**3 + 0 - 1/2*f**5 - 2*f**2 - 4*f = 0. What is f?
-2, -1, 0, 2
Let n(p) be the first derivative of p**4/30 + 32*p**3/45 - 106. Let n(w) = 0. What is w?
-16, 0
Let a(u) be the first derivative of 5/4*u**4 + 12 + 0*u + 0*u**3 - 5/2*u**2. Factor a(d).
5*d*(d - 1)*(d + 1)
Let n be 4/(-16) + (-5)/((-40)/26). Let s(f) be the third derivative of 0*f + 1/40*f**5 - 2*f**2 + 0 - 1/24*f**4 + 0*f**n. Let s(a) = 0. What is a?
0, 2/3
Let i = 6074/5 + -1214. Factor i*l + 1/5*l**2 + 3/5.
(l + 1)*(l + 3)/5
Suppose 6*x - 15 = x. Suppose -s = -4*g - 14 - 5, -x*s + 1 = 2*g. Factor 0*o - 2/7*o**s - 8/7 + 6/7*o**2.
-2*(o - 2)**2*(o + 1)/7
Let v(z)