+ 7/3*g**4 + 0 + 0*g + 16/3*g**3. Factor h(q).
4*(q + 1)*(q + 2)*(q + 4)
Let w(j) be the first derivative of -j**6/24 - 19*j**5/20 + 21*j**4/8 - j**3/6 - 41*j**2/8 + 21*j/4 - 662. Factor w(i).
-(i - 1)**3*(i + 1)*(i + 21)/4
Let v(g) be the second derivative of g**7/378 - 7*g**6/270 - g**5/180 + 7*g**4/108 + 935*g. Find i, given that v(i) = 0.
-1, 0, 1, 7
Let q(n) = 128*n + 256. Let u be q(-2). Let p(m) be the third derivative of 1/240*m**5 + 0*m - 1/24*m**4 - 20*m**2 + 0*m**3 + u. Factor p(z).
z*(z - 4)/4
Suppose -195*p + 164*p + 124 = 0. Let i be (9/216)/(1/p + 0). Factor 0*w - 1/6*w**2 + 0 - i*w**3.
-w**2*(w + 1)/6
Let j = -85/84 - -33/28. Let n(w) be the second derivative of 1/5*w**5 - 1/15*w**6 - 45*w + 0*w**2 - 2/3*w**3 + 0 + j*w**4. Factor n(o).
-2*o*(o - 2)*(o - 1)*(o + 1)
Let h(d) = -d**3 - 559*d**2 + 16*d + 4. Let n(v) = v**3 + 557*v**2 - 20*v - 5. Let i(w) = -5*h(w) - 4*n(w). Determine c so that i(c) = 0.
-567, 0
Let a(z) = -2749*z - 54977. Let p be a(-20). Factor 16/15*l + 8/5 - 2/3*l**2 - 2/15*l**p.
-2*(l - 2)*(l + 1)*(l + 6)/15
Let a be (5 + 1)/(0 + 12/8). Let q(m) = 9*m - 34. Let k be q(a). Factor -3*f**k - 11*f**2 + 9*f + 5*f + 16*f**2.
2*f*(f + 7)
Determine t so that 2644989/4*t**3 - 1755675/8 + 4391481/4*t**2 + 9/8*t**5 + 1751085/8*t + 13785/8*t**4 = 0.
-765, -1, 1/3
Suppose 180*m**3 - 3872 - 2514*m**2 - 8*m**4 - 1712*m**2 + 7920*m + 8*m**4 - 2*m**4 = 0. Calculate m.
1, 44
Let a = -33204 + 33206. Factor 3/2*z**3 + 5/6*z**4 + 1/3*z + 7/6*z**a + 0 + 1/6*z**5.
z*(z + 1)**3*(z + 2)/6
Let k(d) = -d**2 + d. Let s(f) = f**4 - f**3. Let o(u) = -u**2 - 16*u - 29. Let w be o(-14). Let z(a) = w*s(a) - 4*k(a). Factor z(i).
-i*(i - 2)*(i - 1)*(i + 2)
Let b(g) be the third derivative of -g**2 - 31 + 1/8*g**3 + 0*g - 1/48*g**4 - 1/240*g**5. Let b(x) = 0. What is x?
-3, 1
Let z(m) = 2*m**3 - 32*m**2 - 63. Let c be z(17). Let g = 515 - c. Factor 4/5*r + 2/5*r**2 + g.
2*r*(r + 2)/5
Suppose 4*d - 4*y = -7*y + 12878, 5*y - 16100 = -5*d. Factor -2*g**3 - 3*g - 4*g - 3216*g**4 + g**5 - 8*g**2 - 2 + d*g**4.
(g - 2)*(g + 1)**4
Suppose -2736*s + 2740*s = 12. Let y(q) be the second derivative of 0*q**2 - 5/27*q**4 - 15*q + 0 + 2/27*q**s + 5/36*q**5. Solve y(r) = 0.
0, 2/5
Let t(f) be the first derivative of -145*f**3 - 5*f**2 - 1133. Factor t(w).
-5*w*(87*w + 2)
Let f be 5/(-1)*(-3078)/90. Suppose -3*h = -f + 165. Factor -2/3*n**3 - 4/3*n + 0 - 2*n**h.
-2*n*(n + 1)*(n + 2)/3
Let w = 1857 - 1852. Suppose -17*l + 14*l + 5*g + 26 = 0, w*l + 3*g + 2 = 0. Factor -2 + 1/4*n**l + 1/2*n.
(n - 2)*(n + 4)/4
Let v(n) be the first derivative of n**6/24 + 19*n**5/20 + 31*n**4/16 - 59*n**3/12 - 35*n**2/2 - 17*n + 465. Suppose v(t) = 0. What is t?
-17, -2, -1, 2
Factor -82*w - 1/3*w**3 - 85/3*w**2 + 0.
-w*(w + 3)*(w + 82)/3
Factor 258*b + 185*b - 1021 - 2*b**2 - 129*b + 388*b - 375.
-2*(b - 349)*(b - 2)
Find a, given that 12*a - 12*a**3 + 3/5*a**2 + 0 - 3/5*a**4 = 0.
-20, -1, 0, 1
Let z = -1933663 + 9701171/5. Factor -444/5*y**2 - 810448/5 - z*y - 2/5*y**3.
-2*(y + 74)**3/5
Let j(t) be the second derivative of -1/180*t**5 - 1/9*t**3 - 1/24*t**4 + 0 - 6*t**2 - 6*t. Let o(x) be the first derivative of j(x). Factor o(h).
-(h + 1)*(h + 2)/3
Factor -1028/3*q**2 + 410/3*q**3 + 376*q + 1/3*q**5 - 21*q**4 - 448/3.
(q - 56)*(q - 2)**3*(q - 1)/3
Let d = -5122059 - -7247715371/1415. Let w = d + 2/4245. Factor -1/3*z**3 + w*z**2 + 2/3 - 5/3*z.
-(z - 2)*(z - 1)**2/3
Determine m, given that 168/5 + 123/5*m**2 - 690*m = 0.
2/41, 28
Let z(v) = -156*v + 17*v**2 + 20*v + 359 - 319. Let p(c) = 16*c**2 - 137*c + 41. Let q(j) = -4*p(j) + 5*z(j). Determine l, given that q(l) = 0.
2/7, 6
Suppose 0 = n - 4*o + 2 - 9, -3*o = -3*n + 12. Determine p so that -23*p**2 - 2 + 32*p**2 + 12*p + p**4 - 19*p - 5*p**n + 4 = 0.
1, 2
Let k(i) be the first derivative of -2*i**5/5 - 29*i**4/4 + 23*i**3/3 + 58*i**2 - 60*i + 2279. Solve k(c) = 0.
-15, -2, 1/2, 2
Let u(a) = 8*a**2 - 608*a - 1223. Let i(r) = 11*r**2 - 913*r - 1835. Let q(w) = 5*i(w) - 7*u(w). Find j, given that q(j) = 0.
-307, -2
Let z(l) be the first derivative of 123/16*l**4 + 15*l - 279 + 3/4*l**5 + 83/4*l**3 + 51/2*l**2 - 1/8*l**6. Suppose z(k) = 0. What is k?
-2, -1, 10
Let g(o) be the first derivative of -1/7*o**3 - 1/7*o**4 + 0*o - 1/35*o**5 - 96 + 0*o**2. Let g(v) = 0. Calculate v.
-3, -1, 0
Suppose 5*i - 144 = -44. Suppose 0 = 21*j - i*j - 2. Factor -2*a + 441 - j*a**2 - 441.
-2*a*(a + 1)
Factor 87*b**2 + 84*b**2 + 82*b**2 - 2071*b + 211*b - 258*b**2.
-5*b*(b + 372)
Let u = -436 - -468. Factor 4*w + 68*w**2 - 31*w - u*w**3 + 22 - 18 - 13*w.
-4*(w - 1)**2*(8*w - 1)
Let q = -2653 - -2655. Let s(p) be the first derivative of 8/11*p + 2/33*p**3 - 5/11*p**q - 4. Factor s(g).
2*(g - 4)*(g - 1)/11
Suppose -1674 + 198 = -4*l. Let f = l + -366. Determine b, given that 0*b**f + 1/2*b**5 + 0 + 1/2*b**4 + 0*b**2 + 0*b = 0.
-1, 0
Let r(z) = z**2 + 9*z. Let u(x) = -x + 1. Let j(v) = -r(v) - 6*u(v). Let f(d) = -4*d**2 - 11*d - 24. Let g(w) = -2*f(w) + 9*j(w). Factor g(n).
-(n + 2)*(n + 3)
Let u(p) be the third derivative of -p**5/480 + 657*p**4/32 - 1294947*p**3/16 + 3*p**2 - 19*p. Suppose u(x) = 0. Calculate x.
1971
Suppose -x = i + 4, -84*x - 32 = -83*x + 5*i. Let v(y) be the first derivative of 2592*y + 18*y**x - 27 + 324*y**2 + 3/8*y**4. Let v(b) = 0. Calculate b.
-12
Let c = 18717 + -205886/11. Let j(l) be the first derivative of -50 + 1/33*l**3 - c*l**2 + 1/11*l. Factor j(p).
(p - 1)**2/11
Let k(g) be the second derivative of -1/4*g**3 + 0 - 17*g - 7/8*g**2 + 1/48*g**4. Suppose k(v) = 0. Calculate v.
-1, 7
Suppose -5*m = 99 - 184. Determine f, given that -m*f**2 - 10*f**2 + 6*f**2 - 24 + 42*f + 3*f**3 = 0.
1, 2, 4
Let k(v) be the second derivative of v**4/12 + v**3/6 + v**2/2 + v - 11. Let m(o) = -5*o**3 - 5*o**2 + 10*o - 15. Let a(i) = 5*k(i) + m(i). Factor a(q).
-5*(q - 1)**2*(q + 2)
Let y(h) = 37*h**2 + 204*h + 5195. Let z(m) = -16*m**2 - 102*m - 2598. Let j(x) = -3*y(x) - 7*z(x). Find r such that j(r) = 0.
-51
Let p(n) = n**3 + n**2 - n. Let b(u) = -26*u**3 + 276*u**2 - 642*u + 188. Let l(q) = b(q) + 20*p(q). Determine y so that l(y) = 0.
1/3, 2, 47
Let u(b) be the second derivative of -b**4/27 + 34*b**3/27 + 40*b**2/3 - 643*b. Determine i, given that u(i) = 0.
-3, 20
Let g be 23/(552/640) + 78 + -98. Factor 1/3*f**2 - 44/3 + g*f.
(f - 2)*(f + 22)/3
Let u = 841 - 838. Let b(r) be the second derivative of 1/2*r**u + 0 + 3*r - 1/30*r**6 - 7/12*r**4 + 1/4*r**5 + 0*r**2. Factor b(z).
-z*(z - 3)*(z - 1)**2
Let q(m) be the third derivative of 2*m**5/15 + 953*m**4/4 - 715*m**3/3 + 13*m**2 + 9*m + 6. Let q(c) = 0. What is c?
-715, 1/4
Solve 70 - 28448*k**2 - 176*k + 78 + 220 + 28260*k**2 - 4*k**3 = 0.
-46, -2, 1
Suppose d = 3*u + 41, 0*u = 4*u + 8. Find o, given that 55 - 15 - 5*o**2 - d - 25 - 20*o = 0.
-2
Let w(d) = -2*d**3 - 68*d**2 + 271*d - 195. Let g(h) = 22*h**3 + 750*h**2 - 2980*h + 2140. Let y(t) = -6*g(t) - 68*w(t). Find l, given that y(l) = 0.
-35, 1, 3
Let a(q) be the first derivative of 2*q**5/55 - 65*q**4/11 + 824. Find c such that a(c) = 0.
0, 130
Let m be (-3)/((-9)/(-15)) + 23 + -12. Let x be -23*(-5)/(-20) + m. Find g, given that -1/2*g**3 + 0*g + 3/4*g**2 - x*g**4 + 0 = 0.
-3, 0, 1
Suppose 206*w = 33*w + 519. Find n such that 0 - 4/5*n**w + n**2 + 1/5*n**4 - 2/5*n = 0.
0, 1, 2
Let i = 184251742870 + -20658858165384926/112123. Let j = i - -2/10193. Determine o so that 686/11 + j*o**2 - 294/11*o - 2/11*o**3 = 0.
7
Let h(n) be the second derivative of n**8/80640 - n**7/30240 - n**6/4320 - 25*n**4/3 + 20*n. Let z(c) be the third derivative of h(c). What is q in z(q) = 0?
-1, 0, 2
Let 53*b**2 - 4134 + 3*b**2 - 12*b**3 + 4134 + 2*b**5 - 6*b**4 - 48*b = 0. What is b?
-3, 0, 2
Let j(u) be the first derivative of -3*u**4/4 + 10*u**3 - 24*u**2 + 1431. Let j(x) = 0. Calculate x.
0, 2, 8
Let z(b) = 7*b**2 - 941*b + 6606. Let m be z(127). Let a = -4 - -4. Suppose a + 1/2*o**5 + 0*o + 3/2*o**4 + o**3 + 0*o**m = 0. What is o?
-2, -1, 0
Suppose 61*q = 6 + 360. Let z(b) be the second derivative of 9/70*b**5 + 0*b**2 + 0 + 0*b**3 + 9/28*b**4 - 9*b + 1/70*b**q. Let z(j) = 0. Calculate j.
-3, 0
Let p(c) = 10*c**4 - 44*c**3 - 454*c**2 - 1678*c - 2298. Let g(j) = -62*j**4 + 263*j**3 + 2725*j**2 + 10065*j + 13787. Let k(w) = 6*g(w) + 37*p(w). Fac