 h*p**5 + 6*p**2 - p + 3*p**4 + 4*p.
-3*p*(p - 1)*(p + 1)**3
Let i be (-262)/(-84) - 1794/(-8372). Find z such that -i*z**4 - 2*z**5 - 4/3*z**3 + 0 + 0*z + 0*z**2 = 0.
-1, -2/3, 0
Let k(l) be the first derivative of l**2/2 + l - 1. Let c(x) = -5*x**2 + 2 + 3*x - 4*x**2 + 8*x**2. Let j(z) = c(z) - 2*k(z). Suppose j(u) = 0. Calculate u.
0, 1
Let l(u) = -2*u**2 + 100*u + 318. Let f be l(53). Let -8/7*x**3 + 0 + 2/7*x**4 + f*x + 2/7*x**5 - 8/7*x**2 = 0. What is x?
-2, -1, 0, 2
Let q(z) be the second derivative of -z**7/36 - 13*z**6/90 + 43*z**5/120 - 5*z**4/36 + 6*z - 4. Suppose q(a) = 0. What is a?
-5, 0, 2/7, 1
Let b(t) be the first derivative of t**3/9 + t**2/6 + 68. Suppose b(h) = 0. Calculate h.
-1, 0
Let s(h) be the third derivative of -h**8/504 + 4*h**7/315 + 7*h**6/60 + 121*h**2. Let s(n) = 0. Calculate n.
-3, 0, 7
Let k(u) = -u**3 - 6*u**2 - 16*u + 2. Let b be k(0). Factor 10/3*p**3 + 9 + 12*p**b + 18*p + 1/3*p**4.
(p + 1)*(p + 3)**3/3
Let d be ((-6)/9)/(19/(-57)). Let v(l) be the first derivative of 9/5*l**5 + 0*l - 5/2*l**6 - 3*l**d - 3*l**3 + 6 + 21/4*l**4. Determine y so that v(y) = 0.
-1, -2/5, 0, 1
Let s = -34/5 - -42/5. Factor 2/5*g**3 - s*g**2 - 4/5 + 2*g.
2*(g - 2)*(g - 1)**2/5
Let t(f) = -8*f**4 + 7*f**3 + f**2 + 7*f. Let x(d) = d**4 - d**3 - d. Let c(b) = 3*t(b) + 21*x(b). Let c(o) = 0. Calculate o.
-1, 0, 1
Determine i, given that -8642*i**3 + 1413*i**4 + 83932*i + 63468*i - 133*i**4 - 1289*i**2 + 242000 - 50*i**5 - 7451*i**2 = 0.
-11/5, 10
Let w be -4*(-4)/(-40)*25. Let q = w - -14. Factor -s**5 + 1 - 8*s**q - 4*s - 1 + 8*s**2 + 5*s**5.
4*s*(s - 1)**3*(s + 1)
Let k = 77 + -67. Factor -162*x - 8*x**3 - 4 + 136*x - k*x**3 - 40*x**2.
-2*(x + 1)**2*(9*x + 2)
Let j be ((-27)/(-4))/3*(-148)/(-42). Let v = j - 52/7. Solve -3/2*y - 1/2*y**3 - v - 3/2*y**2 = 0 for y.
-1
Let m(r) be the first derivative of -2*r**5/35 + 5*r**4/14 + 26*r**3/21 + r**2 - 55. Factor m(d).
-2*d*(d - 7)*(d + 1)**2/7
Suppose 0*a = 3*a - 267. Let u = a - 86. Factor 0 + 10/3*m**u - 4/3*m**2 + 0*m.
2*m**2*(5*m - 2)/3
Let g(j) = -2*j**3 + 3*j**2 + j - 1. Suppose d = -5*s - 21, -7*d + 17 = -8*d - 4*s. Let o be g(d). Factor -1/2*k**o - 2 + 3/2*k**2 + 0*k.
-(k - 2)**2*(k + 1)/2
Let d(u) be the first derivative of -u**4 - 44*u**3/3 - 48*u**2 + 144*u + 413. Factor d(n).
-4*(n - 1)*(n + 6)**2
Let s(b) be the third derivative of b**8/840 + 22*b**7/525 - 3*b**2 - 26*b. Factor s(c).
2*c**4*(c + 22)/5
Let f be (-1)/(-2) + (-26)/65*30/32. Determine p, given that -f*p**2 - 1/4 + 3/8*p = 0.
1, 2
Suppose 0 = x + 20*x. Let g(p) be the third derivative of -3*p**2 + 0 + x*p + p**3 + 1/90*p**5 - 1/6*p**4. Suppose g(o) = 0. Calculate o.
3
Let n(h) = h**3 - h + 1. Let v(s) = 15*s**3 + 45*s**2 + 10*s - 50. Let y(r) = 30*n(r) + v(r). Factor y(a).
5*(a + 1)*(3*a - 2)*(3*a + 2)
Let l(m) be the second derivative of m**4/32 - 3*m**3/8 - 3*m**2 - m - 1. Suppose l(v) = 0. What is v?
-2, 8
Let r(h) = 3*h**2 + 18*h + 22. Let f be r(-12). Let l be (-8)/6 - -1 - f/(-102). Solve 2/3 - w + 1/3*w**l = 0.
1, 2
Let c(x) be the first derivative of -7 - 3/8*x**4 + x**3 + 0*x - 1/10*x**5 - 7/2*x**2. Let u(a) be the second derivative of c(a). Factor u(f).
-3*(f + 2)*(2*f - 1)
Suppose 3*f = 12, 4*f + 145 = 5*p + 9*f. Suppose -4*x = -20, x + 0*x = -5*u + p. Suppose -56/3*j - 16/3 - 68/3*j**2 - 2*j**u - 34/3*j**3 = 0. Calculate j.
-2, -1, -2/3
Factor 3*u**2 + 6*u + 12 + 19*u - 13*u.
3*(u + 2)**2
Let m(i) be the second derivative of -i**4/24 + i**3/4 - i**2/2 + i + 19. Suppose m(c) = 0. Calculate c.
1, 2
Factor 15625/2 + 9725*h**2 - 1/2*h**5 + 77/2*h**4 - 1013*h**3 - 33125/2*h.
-(h - 25)**3*(h - 1)**2/2
Let u(z) be the second derivative of z**4/6 + 6*z**3 + 32*z**2 - 35*z. Find t such that u(t) = 0.
-16, -2
Let q(y) = 2*y - 6. Let g(a) = a**3 + 5*a**2 - a. Let j be g(-5). Let p be q(j). Solve 10*b**3 + 2*b**2 + 14*b - 14*b**2 + 50*b**2 - 6 - 8*b**p = 0.
-1, 1/4, 3
Let b be ((-588)/84 - 2*-3)*0. Determine s so that 9/7*s**4 - 6/7*s**3 + 0*s + b*s**2 - 3/7*s**5 + 0 = 0.
0, 1, 2
Let b(c) be the first derivative of 7*c**5/25 - 23*c**4/20 + 9*c**3/5 - 13*c**2/10 + 2*c/5 + 77. Factor b(j).
(j - 1)**3*(7*j - 2)/5
Let c(n) be the first derivative of -1/10*n**4 + 14 + 0*n**2 + 0*n**3 + 0*n. Suppose c(u) = 0. What is u?
0
Factor 36/5 + 57/5*s + 12/5*s**2.
3*(s + 4)*(4*s + 3)/5
Suppose 0 = 14*b + 26*b. Find o such that 2/3*o**3 + 2/3*o**2 + 2/9*o + 2/9*o**4 + b = 0.
-1, 0
Suppose 7*c + 3460 = -3*c. Let j = c + 1736/5. Solve j*i**3 - 26/5*i**2 + 32/5*i - 8/5 = 0 for i.
1/3, 2
Suppose -24/5*h + 1/10*h**2 + 288/5 = 0. Calculate h.
24
Let l be 2/(-16) + 297/72. Suppose -3*j - 3 = -l*j. Factor 4*d - 4*d**4 - 8*d + 8*d**j + 4*d.
-4*d**3*(d - 2)
Let n(z) = -z**3 - 12*z**2 - 19*z + 10. Let y be n(-10). Suppose y = -3*g + 4*a + 14, -3*a + 6 = -4*g + 20. Factor 9/4 + 3/4*t**g + 3*t.
3*(t + 1)*(t + 3)/4
Let g be (-4)/40*-8 - (-30)/25. Let c(f) be the first derivative of -2*f**3 - g*f**4 - 2/3*f**5 - 2/3*f**2 + 7 + 0*f. Suppose c(n) = 0. What is n?
-1, -2/5, 0
Let z be 7 - (7 + -3 + 0). Let m(r) be the second derivative of 2/3*r**4 + 0*r**3 - 2*r - 25/21*r**7 + z*r**6 + 0 + 0*r**2 - 12/5*r**5. Factor m(a).
-2*a**2*(a - 1)*(5*a - 2)**2
Let d(t) = -2*t - 2. Let v be d(-2). Suppose -10*u**2 + 8 + 32*u + 8*u**5 - 15*u**3 - 26*u**3 + u**3 + v*u**4 = 0. Calculate u.
-2, -1, -1/4, 1, 2
Suppose 0 = 7*i + 12 - 173. Suppose i*w - 28*w = -10. Factor 0*n**4 + 0*n + 0 + w*n**3 - 2/3*n**5 + 4/3*n**2.
-2*n**2*(n - 2)*(n + 1)**2/3
Let p(f) = 3*f**3 - 13*f**2 + 10*f. Let l(t) = -8*t**3 + 39*t**2 - 31*t. Let w(v) = -4*l(v) - 11*p(v). Let m be w(-14). Factor -1/2*q**2 + 1/2*q**3 + m + 0*q.
q**2*(q - 1)/2
Let i(l) = -l**2 + 19*l - 19. Let p(g) = 2*g**2 - 18*g + 18. Let f(m) = 2*i(m) + 3*p(m). Suppose f(n) = 0. What is n?
2
Suppose 50*o - 4 = 48*o. Let j(b) be the third derivative of 0*b + 5*b**o - 1/60*b**6 + 1/210*b**7 + 1/12*b**4 + 0 - 1/15*b**5 + 1/2*b**3. Solve j(d) = 0 for d.
-1, 1, 3
Let u(f) be the second derivative of -121*f**6/90 + 44*f**5/5 - 24*f**4 - 17*f**3/6 - 16*f. Let r(o) be the second derivative of u(o). Factor r(j).
-4*(11*j - 12)**2
Let b be (-2 - (-3)/2)*0/5. Let x be (8/36)/((-6)/(-9) + b). Suppose 0*y + 0*y**2 + 0 - x*y**4 - 1/3*y**3 = 0. What is y?
-1, 0
Let a(w) = 16*w - 188. Let b be a(12). Let j(l) be the third derivative of 0*l**b - 1/140*l**5 + 1/14*l**3 - 3*l**2 + 0 + 0*l. Factor j(y).
-3*(y - 1)*(y + 1)/7
Let n = -1177 + 123586/105. Let t(r) be the third derivative of 9*r**2 + 1/5*r**5 - 1/3*r**4 + n*r**7 + 0*r + 0 + 1/3*r**3 - 1/15*r**6. Factor t(q).
2*(q - 1)**4
Let f(d) be the third derivative of d**8/448 - 9*d**6/160 + d**5/20 + 3*d**4/8 - 218*d**2. Suppose f(h) = 0. What is h?
-3, -1, 0, 2
Let w(s) be the second derivative of 1/2*s**2 + 1/8*s**4 + 12*s + 0 - 1/60*s**6 + 1/40*s**5 - 5/12*s**3. Suppose w(r) = 0. Calculate r.
-2, 1
Let k be (-8)/3*1*3/(-2). Solve -30*b + b**2 - b**k + 59*b - b**3 - 28*b = 0 for b.
-1, 0, 1
Determine q, given that -1/2*q + 1/8*q**3 + 0*q**2 + 0 = 0.
-2, 0, 2
Let u(b) be the second derivative of b**7/105 + 2*b**6/25 + 13*b**5/50 + 2*b**4/5 + 4*b**3/15 + 17*b. Factor u(p).
2*p*(p + 1)**2*(p + 2)**2/5
Let z(a) be the first derivative of -a**7/525 - a**6/150 - a**5/150 - 41*a**2/2 + a + 42. Let l(r) be the second derivative of z(r). Solve l(d) = 0.
-1, 0
Let i = -35/61 - -428/427. Suppose -3/7*q + 3/7*q**3 - i + 3/7*q**2 = 0. What is q?
-1, 1
Let -40 + 7*w**2 - 3*w**2 + 0*w**2 + 18*w - 6*w = 0. Calculate w.
-5, 2
Suppose -19*r + 7 = -50. Suppose 15*s = -r*s + 54. Factor -2/19*k**s + 0*k**2 + 2/19*k + 0.
-2*k*(k - 1)*(k + 1)/19
Factor 1/3*o**4 + 21*o**3 + 181/3*o + 20 + 61*o**2.
(o + 1)**3*(o + 60)/3
Suppose 20/3*z**4 + 148/3*z**2 + 16 + 136/3*z + 2/3*z**5 + 26*z**3 = 0. Calculate z.
-3, -2, -1
Suppose -216*g + 64 = -184*g. Solve 5/3*r**3 + 0*r + 2/3*r**g + 1/3*r**5 + 4/3*r**4 + 0 = 0 for r.
-2, -1, 0
Factor -3/5*b**2 + 198/5*b - 3267/5.
-3*(b - 33)**2/5
Suppose 4 + 4 = 4*f. Let s be f*(-3 - (-36)/8). What is y in -12*y + 12*y**s + 27*y**2 - 23*y**2 - 3*y**4 - 8 + 7*y**4 = 0?
-2, -1, 1
Let c(x) be the first derivative of 5*x**3/3 - 20*x**2 - 45*x - 86. Suppose c(b) = 0. What is b?
-1, 9
Let w(i) be the third derivative of -i**8/26880 + i**7/5040 - i**6/2880 + 3*i**4/8 + i**3/3 + i**2 -