2/7 - 204*k - 194. Suppose h(d) = 0. Calculate d.
-34, -14
Factor -6*q - q + 4*q - 13*q**2 - 12*q - 5*q + 84 + q**3.
(q - 14)*(q - 2)*(q + 3)
Let o(t) = -t**3 - 33*t**2 + 2*t + 76. Let x be o(-33). Let n be 2/6*3 - x/14. Factor -n - 1/7*p + 1/7*p**2.
(p - 2)*(p + 1)/7
Let a(p) = 5*p**4 + 25*p**3 + 168*p**2 + 140*p - 4. Let b be (1*2)/(60/(-90)). Let z(d) = -d**4 + d + 1. Let h(v) = b*a(v) - 12*z(v). Let h(k) = 0. Calculate k.
-12, -1, 0
Let 1100 + 461*v**2 - 123*v**3 + 3*v**4 - 8*v**2 - 1100 - 333*v = 0. Calculate v.
0, 1, 3, 37
Let o = 150 + -147. Factor 135 + 56*v + 18*v**2 + 52*v - 4*v**4 + o*v**4 - 6*v**3 + 2*v**3.
-(v - 5)*(v + 3)**3
Let h(b) be the second derivative of 58*b + 9/2*b**2 + 0 - 1/24*b**4 + 1/8*b**5 - 7/4*b**3 - 1/60*b**6. Suppose h(l) = 0. What is l?
-2, 1, 3
Let l(z) be the third derivative of -z**6/40 + 1857*z**5/20 - 1149483*z**4/8 + 237176659*z**3/2 - 880*z**2. Solve l(a) = 0.
619
Let y(k) be the second derivative of k**5/10 + 21*k**4/2 - 70*k**3/3 - 384*k**2 - 196*k - 5. What is m in y(m) = 0?
-64, -2, 3
Let v = 134 - 935/7. Let h(c) = c**2 + 12*c - 988. Let r be h(26). Factor 3/7*o**3 - v*o**2 + r + 0*o.
3*o**2*(o - 1)/7
Determine t, given that -4/3*t**3 + 28/3*t - 20 + 7*t**2 = 0.
-2, 5/4, 6
Let q = 63400 - 63397. Factor 8/13*u + 2/13*u**4 + 0 - 6/13*u**q + 0*u**2.
2*u*(u - 2)**2*(u + 1)/13
Let t = -25998 + 26000. What is b in 2/9*b**t + 16/9*b + 8/3 = 0?
-6, -2
Let b(q) = q**2 + 8*q + 48. Let i be b(-11). Let z be 144/168*(1 - 39/i). Let -z*f**2 + 8/9*f + 0 = 0. Calculate f.
0, 2
Find g such that -998 - 30*g**2 + 48*g + 523 + 5*g**3 + 507 - g**3 = 0.
-1/2, 4
Let z = 6861 + -6861. Let w(f) be the second derivative of 1/4*f**5 - 5/3*f**3 + z*f**2 + 0 + 5/12*f**4 - 4*f. Let w(l) = 0. What is l?
-2, 0, 1
Let a(d) = -2*d**2 + 25*d + 26. Let j be a(11). Factor -3*k**2 + 20*k - 45 - j*k + 87*k.
-3*(k - 15)*(k - 1)
Let o(x) be the third derivative of x**8/50400 - x**7/12600 - x**6/60 + 22*x**5/15 - 80*x**2. Let i(c) be the third derivative of o(c). Factor i(w).
2*(w - 6)*(w + 5)/5
Let o = -1278 - -52395/41. Let d = o - -173/123. Factor 4/3*c**4 + 4/3 - 8/3*c**2 - d*c - 4/3*c**5 + 8/3*c**3.
-4*(c - 1)**3*(c + 1)**2/3
Let h = 268223/3 + -89407. Let p(s) = -s**3 - 8*s**2 - 7*s + 2. Let g be p(-7). Factor -20/3*r**g + 14/3*r - h.
-2*(2*r - 1)*(5*r - 1)/3
Let m(b) = -10*b**2 + 107*b + 29. Suppose -3*v - 1 + 0 = -5*t, v + 5 = 4*t. Let c(r) = r**2 + r + 1. Let o(x) = t*c(x) - m(x). Let o(d) = 0. What is d?
-1/4, 9
Suppose 82 = 5*u - l, 3*u + 3*l = -89258 + 89228. Factor u*z - 99/2 + 3/2*z**2.
3*(z - 3)*(z + 11)/2
Let j(k) be the first derivative of 8/7*k**2 - 2/35*k**5 + 0*k - 5/14*k**4 - 49 - 4/21*k**3. Suppose j(x) = 0. Calculate x.
-4, -2, 0, 1
Let s be (1 + 84/(-64))*(-26)/65*1. Factor -15/4*y**2 - 11/8 - y**3 - 4*y + s*y**4.
(y - 11)*(y + 1)**3/8
Let g(b) be the first derivative of 2*b**5/25 - 17*b**4/30 - 898*b**3/45 + 231*b**2 - 1404*b/5 + 3298. Let g(p) = 0. Calculate p.
-13, 2/3, 9
Suppose 0*y + 280/11*y**2 - 2/11*y**4 + 0 - 278/11*y**3 = 0. Calculate y.
-140, 0, 1
Let t(s) = 9*s**2 + 11*s - 50. Let l(n) = -10*n**2 - 10*n + 56. Let f(a) = -5*l(a) - 6*t(a). Factor f(u).
-4*(u - 1)*(u + 5)
Let q = 197 + -191. Suppose 0 = z - q + 3. Factor 5/3*k**2 + 0 - 5/6*k - 5/6*k**z.
-5*k*(k - 1)**2/6
Let o(n) be the first derivative of n**5/10 - 53*n**4/4 + 630*n**3 - 23275*n**2/2 + 42875*n/2 - 1043. Factor o(v).
(v - 35)**3*(v - 1)/2
Let s be 2 - 6/3 - 9. Let f(j) = 2*j**2 + 18*j + 3. Let p be f(s). Factor -7*x**2 - 2*x**p + 2*x + 4*x + x - 5*x + 7*x**4.
x*(x - 1)*(x + 1)*(7*x - 2)
Let n(y) be the second derivative of -5*y + 361/4*y**2 - 22 + 1/80*y**5 + 5/6*y**4 + 437/24*y**3. Factor n(u).
(u + 2)*(u + 19)**2/4
Let b be 10136/70 + (3 + -1)/10. Factor 6*o**2 - 12*o**3 - 141*o**4 + b*o**4 + 2*o**2.
4*o**2*(o - 2)*(o - 1)
Find t, given that 40*t - 1/4*t**3 - 224 + 1/2*t**2 = 0.
-14, 8
Let p = -901 + 906. Suppose -4*u + 10*b = 5*b - 45, -15 = 2*u + 5*b. Factor 10*n - 15*n**3 - 11 + 21 - p*n**2 + 5*n - u*n**4.
-5*(n - 1)*(n + 1)**2*(n + 2)
Factor -9/4*d - 1/2*d**4 + 0 + 9/2*d**2 + 1/4*d**5 - 2*d**3.
d*(d - 3)*(d - 1)**2*(d + 3)/4
Let b(a) be the second derivative of a**6/120 - 31*a**5/20 - 251*a**4/48 - 21*a**3/4 + 6*a + 43. Determine o so that b(o) = 0.
-1, 0, 126
Let w = -434 - -437. Suppose 28*r + 6*r**w - 20*r + 46*r + 111*r**2 - 156*r**2 = 0. What is r?
0, 3/2, 6
Let h be 0*((-34)/4)/(-17). Let d be (h - -1) + (-14)/42. Determine s, given that 1/3*s**2 + s + d = 0.
-2, -1
Find i, given that -36*i - 39/2*i**2 + 213/4*i**3 + 9/4*i**4 + 0 = 0.
-24, -2/3, 0, 1
Let m = -178627 + 1786271/10. Suppose -s + m*s**2 + 12/5 = 0. Calculate s.
4, 6
Let h(p) be the first derivative of 5*p**3 + 9*p + 21/2*p**2 - 104 + 3/4*p**4. Suppose h(w) = 0. What is w?
-3, -1
Let w be ((-8)/(-50))/((-37)/6105*-66). Suppose w*q**2 + 72/5 + 24/5*q = 0. What is q?
-6
Suppose -39*q + 52 = -35*q. Let w be q/(-117) + 92/180. Factor 16/5*s - 8/5 + w*s**3 - 2*s**2.
2*(s - 2)**2*(s - 1)/5
Let k be (-990)/2178 + 5/11. Solve -42/5*b**2 + 0 + 2/5*b**3 + k*b = 0 for b.
0, 21
Let c(u) = u**4 + u**3 + u**2 - u + 1. Let y(m) = -3*m**4 - 3*m**3 - 5*m**2 + 3*m - 4. Suppose -43*i + 49*i - 24 = 0. Let a(o) = i*c(o) + y(o). Factor a(s).
s*(s - 1)*(s + 1)**2
Determine t, given that 36/5*t**4 - 39366/5 + 2914/5*t**3 + 704214/5*t + 15714*t**2 = 0.
-27, 1/18
Let k(d) be the first derivative of 1089/5*d + 1/15*d**3 + 33/5*d**2 + 114. Factor k(m).
(m + 33)**2/5
Suppose -72/5 - 422/5*u**2 + 472/5*u + 22/5*u**3 = 0. What is u?
2/11, 1, 18
Let c(q) = -q**3 - 19*q**2 - 381*q - 5899. Let u be c(-17). Find a such that u*a - 15*a**2 + 35/2*a**3 + 0 - 5/2*a**4 = 0.
0, 1, 6
Let w(p) = 4*p**2 + 19*p - 2. Let o be w(-5). Factor 11*g**4 + 10*g**4 + 9*g**2 + 3*g**2 + 48*g**o.
3*g**2*(g + 2)*(7*g + 2)
Let o be ((-159)/(-12) + -14)*(-16)/3. Let c(t) be the first derivative of 0*t - 1/6*t**6 + 13 + 0*t**2 + 0*t**o + 1/5*t**5 + 0*t**3. Factor c(w).
-w**4*(w - 1)
Let f(c) = 94*c**2 - 283*c - 347. Let r be f(-39). Let p(y) be the first derivative of -56*y**4 + 1568*y**3 + 4/5*y**5 - 21952*y**2 + 41 + r*y. Factor p(j).
4*(j - 14)**4
Let b(p) be the first derivative of 4/9*p**3 + 8/3*p**2 + 163 + 4*p. Factor b(s).
4*(s + 1)*(s + 3)/3
Let x(j) be the first derivative of 4/3*j**3 - 17/2*j**2 + 35 - 1/15*j**5 + 0*j - 1/6*j**4. Let g(h) be the second derivative of x(h). Solve g(t) = 0.
-2, 1
Let x(j) be the first derivative of 4*j**5/5 - 27*j**4/2 - 668*j**3/3 - 864*j**2 - 704*j - 1489. Find z, given that x(z) = 0.
-4, -1/2, 22
Let u = -22862/15 - -91463/60. Factor u*h**5 + 0*h**4 - 1/4*h**3 + 0 + 0*h + 0*h**2.
h**3*(h - 1)*(h + 1)/4
Let r(l) be the first derivative of l**5/30 - 11*l**4/54 + 4*l**3/9 - 4*l**2/9 + 18*l + 16. Let z(b) be the first derivative of r(b). Find d such that z(d) = 0.
2/3, 1, 2
Factor -1/5*h**3 - 122/5*h**2 - 359/5*h - 238/5.
-(h + 1)*(h + 2)*(h + 119)/5
Let w(g) be the second derivative of -3/2*g**2 - 17/12*g**4 + 1/168*g**7 - 1/15*g**6 + 3*g - 21/40*g**5 - 47/24*g**3 - 25. Factor w(n).
(n - 12)*(n + 1)**4/4
Let n(g) = -10*g**3 + 1130*g**2 + 2330*g + 1170. Let c(l) = l**3 + 6*l**2 + l. Let h(s) = 5*c(s) + n(s). Factor h(z).
-5*(z - 234)*(z + 1)**2
Let l = 1642 + -1634. Suppose 13*b + 4*u = 8*b - l, 0 = 4*b - 5*u - 10. Find a, given that -3/2*a**2 - 4/3*a + b - 1/6*a**3 = 0.
-8, -1, 0
Let k(a) be the third derivative of -a**5/60 + 3*a**4/4 - 29*a**3/6 - 17*a**2. Let i be k(16). Find l such that 15*l**2 + 3*l + 4*l + 21*l**i - 6*l - 7*l = 0.
-1, 0, 2/7
Suppose 6*p = 66 + 6. Suppose 23 = 2*k - 3*o, 5*k + 4*o = -o + 95. What is z in -4*z**2 + p*z**3 + 35*z**4 - 44*z**4 + k*z**2 = 0?
-2/3, 0, 2
Suppose 0 = -y - 375 + 436. Suppose 30*f - y*f + 27*f = 0. Factor 2/3*x + 2/3*x**2 - 2/3*x**3 + f - 2/3*x**4.
-2*x*(x - 1)*(x + 1)**2/3
Let o be (-8)/3*(-3)/2. Suppose 0 = 2*x - 4*m + o, 3*x - m = -2*m + 8. Find n such that -15*n + 15*n**2 + 3*n**3 + 5 + 2*n**3 + x*n**3 - 12*n**3 = 0.
1
Let b(n) be the second derivative of n**5/70 + 8*n**4/21 + 17*n**3/7 + 36*n**2/7 - 4*n - 97. Factor b(z).
2*(z + 1)*(z + 3)*(z + 12)/7
Solve -51*a + 0*a**3 + 275*a - 60 - 132*a + 4*a**3 - 26*a**2 - 10*a**2 = 0.
1, 3, 5
Let m(h) be the first derivative of 35/4*h**4 - 10*h - 23 - 35/2*h**2 + 10/3*h**3. Determine c so t