. Solve b(h) = 0 for h.
-1, 1, 2, 37
Let q(u) = 18*u**2 + 379*u + 25. Let w be q(-21). Let y(j) be the first derivative of -2 + 1/6*j**w + 2/3*j**3 + 0*j + 2/3*j**2. Solve y(i) = 0.
-2, -1, 0
Suppose -7*i + 191 = -89. Let m be 32/20 - ((-336)/i + 8). Solve 2*b + 16/9 + 2/9*b**m = 0.
-8, -1
Factor -5512/7*h + 2208/7 - 20/7*h**2.
-4*(h + 276)*(5*h - 2)/7
Let d be (((-720)/81)/(-16))/((-390)/(-36) + -10). Let j(f) = -f. Let u be j(-4). Factor u*t - d*t**2 - 10/3.
-2*(t - 5)*(t - 1)/3
Factor -323/6*r**2 - 218/3*r - 1/6*r**4 + 56/3*r**3 + 0.
-r*(r - 109)*(r - 4)*(r + 1)/6
Let o be (2/10 - 0)*205. Find q such that 18 + q**2 + o*q - 8 - 30*q = 0.
-10, -1
Let f be (-1)/(2*9/108*-2). Let i(g) be the second derivative of 0 + 1/11*g**2 - 16*g - 1/66*g**4 + 0*g**f. Find z such that i(z) = 0.
-1, 1
Let n be -2 + (-4 - (-9 + 1)). Suppose n = 2*k - k. Determine u so that -14*u**k + 21*u - 44*u - 37*u - 16 = 0.
-4, -2/7
Solve 1252/3*c - 195938/3 - 2/3*c**2 = 0 for c.
313
Let w(v) be the first derivative of -4*v**3/27 + 88*v**2/9 + 20*v + 5204. Suppose w(y) = 0. What is y?
-1, 45
Let u(y) be the third derivative of -29*y**7/630 - 89*y**6/360 - y**5/30 - 51*y**2 + 5. Determine c so that u(c) = 0.
-3, -2/29, 0
Let 4/3*m**4 + 12672 - 248/3*m**3 + 1200*m**2 - 6624*m = 0. What is m?
6, 44
Let v(u) = -2*u**2 - 10*u - 7. Suppose -88*j - 12 = -84*j. Let s be v(j). Factor -16*c**2 + 7*c**3 + 12*c - s*c**3 + 2*c**3.
4*c*(c - 3)*(c - 1)
Let n(p) be the third derivative of p**7/140 + 9*p**6/160 - 3*p**5/40 - 5*p**4/32 + p**2 + 1639*p. Find f such that n(f) = 0.
-5, -1/2, 0, 1
Suppose 124*h + 15 = 129*h - 2*c, 2*h - c = 6. Let z(a) be the second derivative of 27/2*a**2 + 1/4*a**4 + 0 - 3*a**h + 2*a. Factor z(v).
3*(v - 3)**2
Factor -2/3*b**3 - 4*b**2 - 6*b - 8/3.
-2*(b + 1)**2*(b + 4)/3
Factor 195/2 + 5/4*h**2 - 205/4*h.
5*(h - 39)*(h - 2)/4
Suppose 0 = 346*u - 350*u. Let j(g) be the third derivative of 3/14*g**3 + 8*g**2 - 1/8*g**4 + 0*g - 1/280*g**6 + 1/28*g**5 + u. Find s such that j(s) = 0.
1, 3
Let c be -26 + 7 + (-2 - -27). Let p(y) be the second derivative of 27*y + 0*y**3 - 1/15*y**c + 0*y**2 - 1/7*y**4 - 23/70*y**5 + 0. Factor p(b).
-2*b**2*(b + 3)*(7*b + 2)/7
Let g(r) = -2*r + 1. Let o(t) = -5*t**2 + 16. Let h(v) = 3*g(v) - o(v). Let u(y) = 16*y**2 - 18*y - 41. Let p(l) = 7*h(l) - 2*u(l). Factor p(s).
3*(s - 3)*(s + 1)
Let o(b) be the first derivative of 1875*b**4/4 - 2450*b**3 - 597*b**2/2 - 12*b + 378. Factor o(l).
3*(l - 4)*(25*l + 1)**2
Let p be 5277/54529 + (-13)/(-186). Factor p*k + 0*k**3 + 1/3*k**2 - 1/6*k**5 - 1/3*k**4 + 0.
-k*(k - 1)*(k + 1)**3/6
Let x be (243/(-216) - 21/24)/(-1). Factor 3/8*p**x + 726 - 33*p.
3*(p - 44)**2/8
Let n(m) be the second derivative of 1/36*m**4 - 1/60*m**5 + 0*m**3 + 0*m**2 - 4 + 16*m. Factor n(c).
-c**2*(c - 1)/3
What is i in -1944/7 - 2700/7*i - 100/7*i**3 - 852/7*i**2 - 4/7*i**4 = 0?
-9, -6, -1
Let q(b) = 2*b**2 + 321*b + 792. Let z be q(-158). Factor 6/5*g**3 - 2/5*g**4 - 6/5*g + 0 + 2/5*g**z.
-2*g*(g - 3)*(g - 1)*(g + 1)/5
Let h(p) be the second derivative of -7*p**7/39 + 35*p**6/39 - 93*p**5/65 + 34*p**4/39 - 8*p**3/39 + 1797*p - 2. Solve h(d) = 0 for d.
0, 2/7, 1, 2
Let m(g) be the third derivative of -g**7/1260 + g**6/72 + g**5/360 - 5*g**4/72 + 1235*g**2. Factor m(p).
-p*(p - 10)*(p - 1)*(p + 1)/6
Let t(u) = -u**3 - 165*u**2 - 1382*u + 3434. Let s be t(-156). Find c such that 3362/9 - 164/9*c + 2/9*c**s = 0.
41
Let q(w) be the second derivative of w**4/16 - 403*w**3 + 974454*w**2 + 563*w. Determine a, given that q(a) = 0.
1612
Let g(p) be the first derivative of p**5/4 - 15*p**4/4 - 25*p**3/3 - 77*p + 22. Let b(f) be the first derivative of g(f). Suppose b(z) = 0. Calculate z.
-1, 0, 10
Factor -2/7*c**3 - 195944362/7 - 1275126/7*c - 2766/7*c**2.
-2*(c + 461)**3/7
Let b(d) be the third derivative of -d**5/12 - 515*d**4/24 - 505*d**3/3 + 155*d**2 - 3. Factor b(t).
-5*(t + 2)*(t + 101)
Let g(d) be the third derivative of -d**6/660 + 8*d**5/165 + 5*d**4/12 + 38*d**3/33 - 1539*d**2. Determine p so that g(p) = 0.
-2, -1, 19
Factor 0 + 72/7*k**4 + 240/7*k**3 + 248/7*k**2 + 12*k - 4/7*k**5.
-4*k*(k - 21)*(k + 1)**3/7
Let f(d) be the first derivative of -d**6/4 - 9*d**5/10 + 3*d**4/4 + 3*d**3 - 3*d**2/4 - 9*d/2 - 2370. Suppose f(y) = 0. Calculate y.
-3, -1, 1
Let r(y) = 7*y**2 + 63*y + 2. Let s be 69 + -75 - 3/1. Let v be r(s). Determine k, given that 2/3*k + 0 - 2/9*k**v = 0.
0, 3
Let u be (-23 - -15 - 2*(-27)/6) + 19. Let s(a) be the second derivative of 1/10*a**5 + 0*a**2 - 5/6*a**4 + 0 - 1/225*a**6 - u*a + 25/9*a**3. Factor s(y).
-2*y*(y - 5)**3/15
Let h(z) = 2*z**2 - 19*z - 6. Let o(b) = 6*b**2 - 54*b - 12. Let a(d) = 8*h(d) - 3*o(d). Factor a(q).
-2*(q - 3)*(q - 2)
Let l = -3872 - -19364/5. Let u(z) be the first derivative of -2/5*z**4 + 16 - 4/25*z**5 + l*z**2 + 4/5*z + 0*z**3. Factor u(a).
-4*(a - 1)*(a + 1)**3/5
Let x(n) be the second derivative of -5*n**7/39 + 27*n**6/65 + 383*n**5/130 - 239*n**4/26 - 204*n**3/13 - 108*n**2/13 + 17*n + 55. Find u such that x(u) = 0.
-3, -2/5, -2/7, 3
Let r be (-2)/(-7) - (-622)/(-21). Let z = r + 92/3. Factor 0 - 2*s - z*s**2 + 2/3*s**3.
2*s*(s - 3)*(s + 1)/3
Let s = -271 + 275. Let l be 7/63 + s/18 + 0. Factor l*a**2 - 2/3*a + 1/3.
(a - 1)**2/3
Let v be ((-6)/(-5))/((-60)/(-200)). Factor -10*s**4 + 8*s**v + 4*s**3 + 0*s**4 - 2*s**2.
-2*s**2*(s - 1)**2
Let u(h) = 2*h**2 - 7195*h + 6372455. Let g(n) = -3*n**2 + 10798*n - 9558683. Let r(p) = -5*g(p) - 8*u(p). Determine i, given that r(i) = 0.
1785
Let q(m) be the first derivative of -m**3 - 33*m**2 - 171*m - 1387. Find o, given that q(o) = 0.
-19, -3
Let x(n) be the first derivative of -n**6/6 - 7*n**5/5 - 19*n**4/4 - 25*n**3/3 - 8*n**2 - 4*n - 2809. Suppose x(l) = 0. What is l?
-2, -1
Let a = -2175 + 3811. Let f = 1640 - a. Determine l so that 0*l**2 - 32/17 - 8/17*l**3 + 2/17*l**f + 32/17*l = 0.
-2, 2
Suppose -11*o + 31 = -13. Factor -22*n**3 + 3*n**2 - 4 + 3*n**4 - 41*n + 29*n + 40*n + o*n**4.
(n - 2)**2*(n + 1)*(7*n - 1)
Let y be (((-3)/(-18))/((-7)/(-14)))/((-1)/(-9)). Let c(v) be the second derivative of 0*v**y + 1/200*v**5 - 1/120*v**4 + 0 + 0*v**2 - 33*v. Factor c(t).
t**2*(t - 1)/10
Let 13095 - 1097 + 5363 - 570*s**2 + 41*s**4 + 3*s**5 + 5775*s - 258*s**3 + 1014 - 38*s**4 = 0. Calculate s.
-5, 7
Factor -1/2*t**3 - 547/2*t**2 - 550 + 824*t.
-(t - 2)*(t - 1)*(t + 550)/2
Let o(s) be the first derivative of -9/7*s**2 + 47 - 2/21*s**3 + 104/7*s. Factor o(r).
-2*(r - 4)*(r + 13)/7
Let o = 28/6721 - -33521/20163. Let o*v**2 + 50/3 - 55/3*v = 0. Calculate v.
1, 10
Let v(j) be the third derivative of j**5/120 - 1217*j**4/144 + 45*j**3/2 + 86*j**2 + 41. Factor v(a).
(a - 405)*(3*a - 2)/6
Let g(y) be the second derivative of -116/15*y**6 + 0 + 64*y + 0*y**2 + 107/5*y**5 + 8*y**3 + 2/3*y**7 - 68/3*y**4. Solve g(n) = 0 for n.
0, 2/7, 1, 6
Suppose -4*x - 2*x + 3*x = 24*v + 114, -5 = v. Factor -4/11*h - 6/11*h**x + 2/11.
-2*(h + 1)*(3*h - 1)/11
Let q = -166 - -1496/9. Let t = -4221 + 37993/9. Solve 2/9*a - t + q*a**2 = 0.
-2, 1
What is m in -69/7*m**3 - 1188/7*m + 0 - 3/7*m**4 - 72*m**2 = 0?
-11, -6, 0
Let u(y) be the second derivative of 1/5*y**5 + 15*y + 170*y**3 - 31/3*y**4 + 0 - 450*y**2. Factor u(f).
4*(f - 15)**2*(f - 1)
Determine a, given that 23/8*a**4 - 71/8*a**2 + 25/8*a**3 + 0 + 3/8*a**5 + 5/2*a = 0.
-5, -4, 0, 1/3, 1
Let y(q) = -55*q**3 + 240*q**2 + 15*q + 15. Let g(n) = -15*n**3 + 60*n**2 + 4*n + 4. Let h(m) = 15*g(m) - 4*y(m). Let h(p) = 0. What is p?
-12, 0
Let u(r) = -r**2 + 15*r - 12. Let j be (-21)/(-2)*4/3. Let b be u(j). Let -6*s**5 + 4*s**3 + 2*s**5 + 4*s**4 - b*s**2 - 3*s**2 + s**2 = 0. What is s?
-1, 0, 1
Let n be 1 - (1 - (2 + 0)). Let x(w) = w**3 - 25*w**2 + 24*w + 4. Let u be x(24). Suppose z**u - 10*z**n + 11*z**5 - 6*z**5 - 5*z**3 + 9*z**4 = 0. What is z?
-2, -1, 0, 1
Let h = 1464 + -1464. Let d(l) = l**3 + l**2 - 4*l + 2. Let z be d(1). Factor h + 2/7*q**3 + z*q - 6/7*q**2.
2*q**2*(q - 3)/7
Let u be (-4)/(-3)*45/1. Factor 9*c**2 + 112*c + 87 + 93 + 13*c**2 - 2*c**3 - u.
-2*(c - 15)*(c + 2)**2
Suppose -2*z = -381 + 377. Let l(q) be the third derivative of 0 + z*q**2 + 0*q**3 - 1/24*q**4 + 0*q - 1/60*q**5. Factor l(u).
-u*(u + 1)
Let x = -4 - -8. Suppose 2 - 7*r**2 + 27*r**2 - x*r - 10*r**2 - 8*r**2 = 0. Cal