4 + 43*i**3.
i**2*(i - 21)*(i - 1)**2
Let v be (30/(-72)*6)/(10/(-6)). Factor -k**3 + k**2 - v*k**4 - 1/2*k**5 + 3/2*k + 1/2.
-(k - 1)*(k + 1)**4/2
Suppose -426 = 10*y + 484. Let x be y/(-70) - (-2)/10. Find u, given that -3*u**3 + 3*u + 0*u**2 + 3/2*u**4 - x = 0.
-1, 1
Suppose -h = -8*h. Let b(c) be the first derivative of 2/45*c**5 - 2 - 1/6*c**4 + h*c + 0*c**2 + 0*c**3. Factor b(g).
2*g**3*(g - 3)/9
Let p(k) be the third derivative of k**7/105 + k**6/12 + k**5/6 - 5*k**4/12 - 2*k**3 - 19*k**2. Let p(s) = 0. Calculate s.
-3, -2, -1, 1
Let t(f) = f - 5. Let o be t(5). Let z = 89060 + -178115/2. Factor o*u**2 - 15/2*u + 5 + z*u**3.
5*(u - 1)**2*(u + 2)/2
Let 1/4*c**2 + 19/4*c + 0 = 0. Calculate c.
-19, 0
Factor -42*d**2 + 82*d**2 - 39*d**2 + 18 + 9*d.
(d + 3)*(d + 6)
Let h(i) be the second derivative of i**4/78 - 8*i**3/39 + 7*i**2/13 + 139*i. Solve h(v) = 0 for v.
1, 7
Factor 46/7*s**2 + 24/7 - 8*s - 16/7*s**3 + 2/7*s**4.
2*(s - 3)*(s - 2)**2*(s - 1)/7
Let h = -107140 + 537533/5. Let m = h - 365. What is l in -4/5 - m*l**2 + 18/5*l = 0?
1/4, 2
Let n(k) be the first derivative of -2/9*k - 1/2*k**2 - 4/27*k**3 + 5/12*k**4 - 23. Factor n(d).
(d - 1)*(3*d + 1)*(5*d + 2)/9
Let t(x) = x**2 - 1. Let b(g) = -g**4 + 6*g**3 - 11*g**2 + 12*g - 6. Let l(h) = b(h) - 2*t(h). Suppose l(a) = 0. What is a?
1, 2
Suppose 18 = -5*p - 4*y, -p = 2*p - 5*y + 33. Let q be (-13)/(-30) + p/(-36). Determine c so that -q*c**2 - 9/5*c - 6/5 = 0.
-2, -1
Suppose 3*u = 13*u + 3*u. Suppose u = 4*f - 8. Factor -s**f - 1/3 - s - 1/3*s**3.
-(s + 1)**3/3
Let z(d) be the first derivative of -1/3*d**3 + 17 - 1/12*d**4 + 1/15*d**5 + 1/6*d**2 + 2/3*d. Suppose z(v) = 0. Calculate v.
-1, 1, 2
Let r(y) be the first derivative of -2/3*y - 32/3*y**3 - 14 - 7/3*y**4 + 98/15*y**5 + 14/3*y**2. Solve r(t) = 0 for t.
-1, 1/7, 1
Let m(o) be the second derivative of -3*o**5/10 + 7*o**4/3 - 20*o**3/3 + 8*o**2 + 132*o - 1. What is a in m(a) = 0?
2/3, 2
Let c(a) be the first derivative of -5*a**6/2 - 51*a**5/5 - 12*a**4 - 4*a**3 + 308. Determine d so that c(d) = 0.
-2, -1, -2/5, 0
Let t be (4/5)/((-32)/80). Let n = t + 4. Solve 1/2*j**n + 2*j + 2 = 0.
-2
Factor 11962*s**3 - 192*s**4 - 17*s**2 - 92*s**5 - 12070*s**3 + 9*s**2.
-4*s**2*(s + 1)**2*(23*s + 2)
Let z = 9/20 + 7/20. Let f = 281 - 1397/5. Let -2/5*d**3 + f*d - 16/5 + z*d**2 = 0. What is d?
-2, 2
Suppose -f - 34 + 40 = 0. Let h(z) be the third derivative of -1/4*z**5 - 1/4*z**4 + 0*z**3 + 0 - 3/40*z**f + 0*z - 3*z**2. Let h(k) = 0. What is k?
-1, -2/3, 0
Let v = 110 + -106. Factor -4*w**4 + 4*w**2 - 2*w + 5*w - v*w**3 + 6*w - 5*w.
-4*w*(w - 1)*(w + 1)**2
Let y = -69 - -69. Let r be 25/10 + -2 - y. Factor s - r*s**2 + 3/2.
-(s - 3)*(s + 1)/2
Suppose 3*r = 2*r + 4. Suppose 0 = p + 3*u - 8, 9*u = 5*p + r*u. Factor -2 + d**2 + p - 2*d + 1.
(d - 1)**2
Factor -156*g**2 + 2*g**5 + 30*g**2 - 14950*g**4 - 250*g**3 + 14828*g**4.
2*g**2*(g - 63)*(g + 1)**2
Suppose c + 133*c**2 - 5*c - 131*c**2 + 10*c**4 + 16*c**3 = 0. Calculate c.
-1, 0, 2/5
Let b be (-2008)/(-3765) + 1/(-3). Let a(z) = -2*z. Let c be a(-1). Solve -1/5*k + 2/5 - b*k**c = 0.
-2, 1
Solve -1 - 3/2*g**2 + 7/2*g = 0.
1/3, 2
Let w = -1779 - -1782. Let 0 + 3*h**2 + h + 5/4*h**w = 0. What is h?
-2, -2/5, 0
Let 12*a**3 + 34*a**4 - 17*a**4 + 4*a**5 + 4*a**2 - 5*a**4 = 0. Calculate a.
-1, 0
Let x(b) be the third derivative of 3*b**7/140 - b**6/80 - 7*b**5/20 + b**4/4 + 2*b**3 - 86*b**2. Find c, given that x(c) = 0.
-2, -2/3, 1, 2
Let x be 102/3 + (-2 - 1). Let o = x + -61/2. What is h in -1/2*h**2 + 0*h + o = 0?
-1, 1
Let h(d) = d**2 + 18*d + 35. Let v be h(-10). Let n be (18/v)/((-8)/10). Factor -1/2*c**2 + 1/2*c - 1/2*c**3 + 0 + n*c**4.
c*(c - 1)**2*(c + 1)/2
Suppose -4*x = s - 10, -3*s = -7*x + 3*x + 18. Let 15*i**3 - 3*i**2 + 0*i**3 - x*i**5 + 3*i**4 - 12*i**3 = 0. What is i?
-1, 0, 1
Let p = 2957/2 + -1477. Find f such that -p*f**5 + 9/4*f**4 - 9/4*f**2 + 3/4*f**3 + 0 + 3/4*f = 0.
-1, 0, 1/2, 1
Let c(g) = 22*g**2 - 60*g - 16. Let p be c(3). Factor 0*a**p + 0 + 2/7*a**5 + 2/7*a**4 + 0*a - 4/7*a**3.
2*a**3*(a - 1)*(a + 2)/7
Let a(f) = 7 - 10*f + 5 + 9 - 31. Let h be a(-1). Factor h + 2/9*x**2 - 4/9*x.
2*x*(x - 2)/9
Suppose 1 = 3*z - 5. Let a be (-15)/6*(-4)/5. Determine l, given that -2*l + 2*l**a - 1 + 1 + 5*l**z = 0.
0, 2/7
Factor 1/8*b**3 - 3 - 13/4*b**2 + 49/8*b.
(b - 24)*(b - 1)**2/8
Let t be 1 - 1 - -4 - 4. Let f be 3 + (5 - (t + 4)). What is z in -9*z**4 + 26*z**3 + f*z**5 + 6*z**3 - 16*z**2 - 11*z**4 = 0?
0, 1, 2
Solve 5/2*b**3 - 1/2*b**4 - 125/2*b + 0 + 25/2*b**2 = 0 for b.
-5, 0, 5
Find q, given that 16/7*q - 60/7*q**4 - 1364/7*q**2 + 176/7 - 112*q**3 = 0.
-11, -2, -2/5, 1/3
Suppose 0 = 5*z, -52*z = 4*v - 57*z. Let t(s) be the second derivative of 0 + 1/20*s**5 + v*s**2 + 1/18*s**3 - 8*s + 1/9*s**4. What is c in t(c) = 0?
-1, -1/3, 0
Let g = -27 + 30. Let p(b) be the second derivative of 1/36*b**4 - 1/6*b**2 + 1/18*b**g - 3*b + 0 - 1/60*b**5. Suppose p(h) = 0. What is h?
-1, 1
Let c(i) = 2*i**2. Let m(r) = -4*r**2 - r. Suppose -3*n - n = 16. Let g(d) = n*m(d) - 9*c(d). Factor g(t).
-2*t*(t - 2)
Let t(s) be the second derivative of -s**7/70 - 9*s**6/20 - 27*s**5/5 - 27*s**4 + 14*s**2 + 45*s. Let y(d) be the first derivative of t(d). Factor y(x).
-3*x*(x + 6)**3
Suppose z + 2*t + 11 = 0, 4*z + 11 = 3*t - 0*t. Let w(g) = g**2 + 6*g + 8. Let d be w(z). Determine a so that 10 - 18*a + 20*a**2 - 2*a**d - 5 - 4*a**3 - 1 = 0.
1/3, 1, 2
Let s be ((-3)/2)/(6/(-96)). Suppose -3*h + 3*r = -s, -2*h - 2*r + 3*r + 14 = 0. Factor -2*v + 2 + v**2 + 0 + 1 + h*v.
(v + 1)*(v + 3)
Let q(i) be the first derivative of 3/5*i**5 - 22 - 4*i**3 + 0*i + 0*i**2 + 0*i**4. Let q(w) = 0. Calculate w.
-2, 0, 2
Let r = 881/5 + -175. Let r + 2/5*n**4 - 8/5*n**2 + 4/5*n**3 - 4/5*n = 0. What is n?
-3, -1, 1
Let u = 488 - 483. Suppose 0 + 2/7*t**u - 2/7*t**3 + 0*t + 2/7*t**2 - 2/7*t**4 = 0. What is t?
-1, 0, 1
Let g(j) = 7*j**3 + 5*j**2. Let p(x) = -15*x**3 - 10*x**2. Let l(h) = h + 11. Let d be l(-9). Let u(w) = d*p(w) + 5*g(w). Find t, given that u(t) = 0.
-1, 0
Let l be (1/3)/((-25)/(-30)). Find p such that l*p + 4/5*p**3 + 0 - 1/5*p**4 - p**2 = 0.
0, 1, 2
Let q(a) be the second derivative of -a**5/90 + 7*a**4/27 - 49*a**3/27 - 81*a. What is t in q(t) = 0?
0, 7
Let v(h) be the second derivative of h**7/252 - h**6/15 - 7*h**5/20 - 11*h**4/18 - 5*h**3/12 - 6*h + 49. Factor v(s).
s*(s - 15)*(s + 1)**3/6
Solve -4*h**5 - 6*h**4 - 22*h**4 + 0*h**2 + 2*h**5 - 24*h**2 - 50*h**3 = 0.
-12, -1, 0
Let t = -79/9 - -9. Let n be (0 + -6)/((-1150)/40 - -22). Factor -n*u + t*u**2 + 8/9.
2*(u - 2)**2/9
Let k(q) = 3*q**4 - 13*q**3 + 8*q**2 + 4*q - 2. Let j(g) = 6*g**4 - 28*g**3 + 17*g**2 + 10*g - 5. Let p(a) = -2*j(a) + 5*k(a). Factor p(b).
3*b**2*(b - 2)*(b - 1)
Let g(v) = -3*v**2 + v - 2. Let l be g(-5). Let y = l - -449. Suppose -375*i**2 - 12*i**4 + y*i**2 + 28*i**3 - 8*i**4 = 0. What is i?
0, 2/5, 1
Factor -72 + 11*p**4 - 15*p**4 - 44*p**3 - 24 - 152*p**2 - 208*p.
-4*(p + 1)*(p + 2)**2*(p + 6)
Factor -2*m**2 + 2/3*m**4 + 4 + 14/3*m - 2*m**3.
2*(m - 3)*(m - 2)*(m + 1)**2/3
Let x(l) = -l**5 - 3*l**4 + 31*l**3 - 46*l**2 + 21*l. Let d(g) = -g**5 + g**4 - g**3 - g. Let y(t) = -2*d(t) - 2*x(t). Factor y(i).
4*i*(i - 2)*(i - 1)**2*(i + 5)
Let l(p) be the second derivative of -5*p**4/12 + 5*p**3/3 - 5*p**2/2 + 25*p - 2. Suppose l(x) = 0. Calculate x.
1
Factor 0 - 1/5*l**2 - l.
-l*(l + 5)/5
Let w = -43676 - -43678. Factor -2/21*n**3 - 38/21*n - 6/7 - 22/21*n**w.
-2*(n + 1)**2*(n + 9)/21
Let t(q) = -q**3 - 14*q**2 + 13*q - 30. Let r be t(-15). Let f be 4/(25/10 + r). Factor 0 + 3/5*y - f*y**2 + y**3.
y*(y - 1)*(5*y - 3)/5
Let f(v) be the third derivative of v**5/300 - 13*v**4/120 + 2*v**3/5 - 54*v**2. Factor f(h).
(h - 12)*(h - 1)/5
Let d be (-4)/((-26)/70 - 465/1085). Solve 0*g + 0 + 0*g**2 - 2/3*g**d - 8/3*g**4 - 2*g**3 = 0.
-3, -1, 0
Let j(y) = 5*y**3 + 96*y**2 + 603*y + 503. Let b(u) = -5*u**3 - 99*u**2 - 602*u - 502. Let n(s) = -3*b(s) - 2*j(s). Let n(x) = 0. What is x?
-10, -1
Let g be (34 - 34)/(0 + -1 - 0). Suppose 24*c - 20*c - 3*f - 2 = g, -5*c + 8 = -f. Factor -3/5*i**c + 6/5 + 3/5*i.
-3*(i - 2)*(i + 1)/5
Let -25/3*k**3 - 17/3*k**2 - 11/3*k**4 + 0 - k = 0. What is k?
-1, -3/11, 0
Solve 0 - 3/2*h - 3/4*h**2 - 3/4*h**5 + 9/4*h