 p(h).
-(h - 3)*(h + 1)**2/2
Let x be (-4)/(2 - 80/24). Determine n, given that -7/5*n**x - 8/5*n - 19/5*n**2 + 4/5 = 0.
-2, -1, 2/7
Let d(u) = -u**3 - 4*u**2 - 2*u + 5. Let c(q) = q**3 + 3*q**2 + q - 4. Let b(p) = -5*c(p) - 4*d(p). Let i be b(0). Factor 0*k**3 + 1/3*k**4 + i + 0*k + 0*k**2.
k**4/3
Suppose -119*q + 6 = -117*q. Let 0*v**3 + 5*v**3 + 36 + 69*v - 2*v**3 + 30*v**2 - 6*v**q = 0. What is v?
-1, 12
Suppose 0 = -1389*w + 1360*w + 58. Factor 2/5*r**3 - 4/5 + 2*r - 8/5*r**w.
2*(r - 2)*(r - 1)**2/5
Suppose -3*s + 7 = -33*t + 32*t, -13 = t - 5*s. Factor 0 + 1/2*r**t - 5/2*r.
r*(r - 5)/2
Suppose -4*l**4 + 80*l**3 - 25*l**4 + 4*l**4 + 10*l - 65*l**2 = 0. Calculate l.
0, 1/5, 1, 2
Let l(c) be the third derivative of -c**5/300 + 7*c**4/120 - c**3/5 - 83*c**2. Solve l(i) = 0 for i.
1, 6
Let u be 24/128*(-128)/(-48). Factor -2 - 1/4*f**3 + f + u*f**2.
-(f - 2)**2*(f + 2)/4
Let f(u) be the third derivative of -u**8/504 + u**7/105 - u**6/180 - u**5/30 + u**4/18 - 22*u**2 - 2. Determine i so that f(i) = 0.
-1, 0, 1, 2
Let q(o) be the first derivative of 5/7*o**3 + 6/7*o**2 + 1/14*o**6 - 15/28*o**4 - 3/35*o**5 - 12/7*o + 34. What is c in q(c) = 0?
-2, -1, 1, 2
Let q(g) be the second derivative of -g**6/120 - g**5/8 - g**4/4 + 3*g**3 + 142*g + 2. Let q(h) = 0. What is h?
-6, 0, 2
Let d = -1945 + 93361/48. Let v(w) be the second derivative of 1/96*w**4 + d*w**3 + 0 + 0*w**2 + 6*w. Determine f so that v(f) = 0.
-1, 0
Factor 25*l**5 - 1108625*l**2 + 92925*l**3 - 136584*l + 555352*l - 2635*l**4 + 9982*l.
5*l*(l - 35)**3*(5*l - 2)
Let r(v) be the third derivative of v**8/56 + 19*v**7/105 + 37*v**6/60 + 17*v**5/30 - 4*v**4/3 - 4*v**3 - 174*v**2. Let r(g) = 0. Calculate g.
-3, -2, -1, 2/3
Let m(d) = 22*d - 503. Let w be m(23). Factor -15*u**4 + 9/2*u**5 - 9*u**2 + 3/2*u + 0 + 18*u**w.
3*u*(u - 1)**3*(3*u - 1)/2
Let d(h) be the first derivative of h**5/90 - h**4/18 + h**3/9 - 3*h**2 - 29. Let f(k) be the second derivative of d(k). Factor f(i).
2*(i - 1)**2/3
Let x be 15/(-30) - ((-4408)/80 + 6). Suppose 138/5*j**2 + 48/5*j**3 - 432/5*j + 3/5*j**4 + x = 0. What is j?
-9, 1
Let k be (-2 + 5/(-10))*12/(-15). Factor 1/3*q**3 + 0*q - 1/6*q**4 - 1/6*q**k + 0.
-q**2*(q - 1)**2/6
Let y = 13414 + -13412. Factor 0*m + 0*m**3 - 3/7*m**4 + 1/7*m**5 + 4/7*m**y + 0.
m**2*(m - 2)**2*(m + 1)/7
Let d(o) = o**3 + 8*o**2 + 17*o + 12. Let k be d(-5). Let p = -8 + 12. Factor -6*q**2 - 4*q**2 - 8*q + 4*q**k + p*q**2.
-2*q*(q + 4)
Let a(j) = 7*j**2 + 3*j + 8. Let o(t) = 5*t - 39. Let i be o(9). Let q(n) = 7*n**2 + 4*n + 7. Let p(s) = i*q(s) - 5*a(s). Factor p(w).
(w + 1)*(7*w + 2)
Factor 88 + 90/11*n**2 + 96*n + 2/11*n**3.
2*(n + 1)*(n + 22)**2/11
Let g(h) = -h**2 - 7*h + 12. Let s be g(-8). Suppose 3*n**3 + n**4 + 8*n**2 - 3*n - 2*n**s - 7*n**2 + 0*n**3 = 0. Calculate n.
-1, 0, 1, 3
Let a(k) be the first derivative of -k**5/100 + 3*k**4/20 + 6*k**2 - 22. Let f(b) be the second derivative of a(b). Factor f(d).
-3*d*(d - 6)/5
Let y(l) be the first derivative of -l**6/18 + l**5/15 + 5*l**4/12 + l**3/3 + 13. Suppose y(i) = 0. Calculate i.
-1, 0, 3
Factor 2/19*f**2 + 2/19*f**4 + 4/19*f**3 + 0 + 0*f.
2*f**2*(f + 1)**2/19
Let m(w) be the third derivative of w**7/7560 - w**6/1080 + w**5/540 - w**3/3 + 13*w**2. Let b(h) be the first derivative of m(h). Factor b(c).
c*(c - 2)*(c - 1)/9
Let 0 - 2/7*c**3 - 48/7*c**2 + 0*c = 0. Calculate c.
-24, 0
Let l be (-4)/32 - 476/(-224). Let k be 2/1*(-28)/(-35). What is v in -2/5*v**3 - 4/5 - 2*v - k*v**l = 0?
-2, -1
Let v be 4 - (0 - -2 - 0). Suppose o = 4*j - 9, -v*j + j + 1 = o. Find w, given that -j + 4*w - 13*w + 5*w**2 + 12*w = 0.
-1, 2/5
Let u = -37 - -113/3. Let i = 7826/75 + -2592/25. Factor u - i*q**2 + 1/3*q**3 - 1/3*q.
(q - 2)*(q - 1)*(q + 1)/3
Let y(u) = -3*u**3 + u**2 + 10*u + 8. Let q be y(-1). Factor 4/13*w**3 + 0*w**q - 2/13*w**4 + 0*w + 0.
-2*w**3*(w - 2)/13
Suppose 7*u - 3698 + 3698 = 0. Factor -2/5*p**2 + 0 + u*p.
-2*p**2/5
What is s in 0 - 8/5*s + 2/5*s**2 = 0?
0, 4
Let h(j) be the first derivative of j**3/9 - j**2 + 3*j + 62. Factor h(d).
(d - 3)**2/3
Let t(o) be the second derivative of -o**7/4725 + o**6/1080 - o**5/900 + 25*o**4/12 + 12*o. Let f(b) be the third derivative of t(b). Factor f(k).
-2*(k - 1)*(4*k - 1)/15
Suppose -3*y = -0*y. Suppose 2*c - 5*n = 25, c - 5*n - 23 = 2. Suppose 0*o + y*o**2 + 2/7*o**3 + c = 0. What is o?
0
Let z(m) = 7*m**3 + 76*m**2 - 7*m - 79. Let g(w) = 34*w**3 + 380*w**2 - 34*w - 394. Let p(j) = -3*g(j) + 14*z(j). Suppose p(c) = 0. What is c?
-19, -1, 1
Suppose -4*q = -3*q + 5, 2*d + 5*q + 17 = 0. Suppose 3*z**5 - 18*z**d - 126*z**2 - 12 + 51*z + 66*z**3 - 6*z**4 + 42*z**2 = 0. What is z?
1, 4
Let n(o) be the second derivative of -o**4/96 + 3*o**3/8 + 19*o**2/16 + o + 44. Find h such that n(h) = 0.
-1, 19
Determine w, given that -40 + 863*w - 35*w**3 - 426*w - 377*w + 5*w**5 + 10*w**2 = 0.
-2, 1, 2
Let z be -1 + 1*62/14. Let k be (-45)/(-13) - 2358/5109. Determine g so that z*g**2 + 2/7*g**k + 128/7 + 96/7*g = 0.
-4
Let j be ((-16)/3 + 1)/((-59)/1180). Let v = j - 86. Factor -v*u**2 - 2/3*u**3 + 2/3*u**4 + 2/3*u + 0.
2*u*(u - 1)**2*(u + 1)/3
Let j(c) be the third derivative of 2/7*c**3 - 1/105*c**6 + 0 - 34*c**2 + 2/735*c**7 + 1/21*c**4 - 4/105*c**5 + 0*c. Factor j(x).
4*(x - 3)*(x - 1)*(x + 1)**2/7
Let t(h) be the second derivative of -h**7/280 + h**5/40 + h**3 + 10*h. Let i(b) be the second derivative of t(b). Factor i(k).
-3*k*(k - 1)*(k + 1)
Let g(z) be the second derivative of -z**10/52920 + z**8/5880 - z**6/1260 + z**4/12 + 29*z. Let h(t) be the third derivative of g(t). Factor h(x).
-4*x*(x - 1)**2*(x + 1)**2/7
Suppose -c - 1 = -6*m + 2*m, -4*m - 4*c - 24 = 0. Let k be 6/(9/4 - m/(-4)). Let 10/3*v**2 - 4/3*v + 0 - 2*v**k = 0. What is v?
0, 2/3, 1
Let v be (-18 - 0)*(-1 - -2). Let z be (5 - -1)/(v/(-12)). Suppose -3/5*f + 6/5*f**z + 0*f**2 + 9/5*f**3 + 0 = 0. Calculate f.
-1, 0, 1/2
Let d(t) be the third derivative of -t**7/735 - t**6/210 + t**5/210 + t**4/42 - 2*t**2 - 16*t. Factor d(b).
-2*b*(b - 1)*(b + 1)*(b + 2)/7
Let m(y) be the third derivative of -y**6/24 - y**5/6 + 5*y**4/3 + 2*y**2 - 13. Solve m(b) = 0.
-4, 0, 2
Suppose -27 = -3*i - 6*i. Let l be (-130)/(-180) - i/(18/3). Factor 0 + 0*t - l*t**3 - 1/3*t**2 + 1/9*t**4.
t**2*(t - 3)*(t + 1)/9
Let t be (164/15)/(1/(-10) - 0). Let u = t + 111. Factor u*i**3 + 4/3*i**2 + 1/3*i + 0 + 2/3*i**4.
i*(i + 1)**2*(2*i + 1)/3
Suppose 27*i - 4 = 25*i. Find l, given that -2*l**3 + l**3 - 3*l**3 + i*l**2 + 2*l**3 = 0.
0, 1
Let -l**2 + 3872 + 3*l**2 - 54*l + 230*l = 0. Calculate l.
-44
Let r be (-91)/(-28) - ((-3)/(-7) - (-253)/308). Factor -4/5*a**r - 24/5*a + 28/5.
-4*(a - 1)*(a + 7)/5
Factor 38/3*r - 37/3 - 1/3*r**2.
-(r - 37)*(r - 1)/3
Let m(c) = c**2 + c. Let f = -13 - -17. Suppose 3*p + f = 7*p. Let k(l) = -5*l**2 - 7*l - 2. Let x(y) = p*k(y) + 4*m(y). Factor x(d).
-(d + 1)*(d + 2)
Let x(p) be the second derivative of 0*p**2 + 0 + 1/50*p**6 + 14*p + 1/100*p**5 - 1/30*p**3 - 1/20*p**4. Factor x(n).
n*(n - 1)*(n + 1)*(3*n + 1)/5
Suppose 12/7*i - 22/7*i**2 + 8/7 - 3/7*i**3 + 5/7*i**4 = 0. What is i?
-2, -2/5, 1, 2
Let i(k) = k**2 + 24*k - 19. Let q be i(-25). Let d(s) be the second derivative of -q*s - 4/3*s**3 + 1/6*s**4 + 0 + 4*s**2. Let d(j) = 0. What is j?
2
Factor -8*g + 79*g**2 + 8*g**3 - 81*g**2 + 2*g**4 + 0*g**4.
2*g*(g - 1)*(g + 1)*(g + 4)
Let c(z) be the third derivative of z**8/4200 - z**7/525 + z**6/450 + z**5/75 - z**4/20 - z**3 - 8*z**2. Let g(u) be the first derivative of c(u). Factor g(a).
2*(a - 3)*(a - 1)**2*(a + 1)/5
Factor -8/7*i**2 + 12/7*i - 4/7.
-4*(i - 1)*(2*i - 1)/7
Let s(h) be the third derivative of 4/15*h**5 + 12*h**2 - 1/30*h**6 - 5/6*h**4 + 0 + 4/3*h**3 + 0*h. Factor s(d).
-4*(d - 2)*(d - 1)**2
Suppose 0 = -2*m - 3*m + 35. Suppose 0 = -10*t + m*t + 48. Suppose y + 1 + 11*y - 5 - t*y**3 = 0. What is y?
-1, 1/2
Let o be 10 + -7 - (-2 + 1). Suppose -4*y = 2*x + o, 4*x - 4*y - 20 = 2*x. Factor x*d**2 + 4*d**5 + 0*d**2 - 6*d**5 + 6*d**3.
-2*d**2*(d - 2)*(d + 1)**2
Let q = -7 - 1. Let c be ((q + -2)/(-2))/1. Solve 4*a**3 + 15*a**c - 12*a**5 - 5*a**5 - 2*a = 0.
-1, 0, 1
Let i(k) be the first derivative of -3*k**4/2 + 7*k**3/2 + 3*k**2/2 + 76. Factor i(w).
-3*w*(w - 2)*(4*w + 1)/2
Solve 32/11*d**2 + 8/11*d - 14/11*d**5 