*z**3 = 0.
-2, -1, 0, 1, 2
Let j be ((-6)/42*3/1)/((-16)/14). Factor 9/8*s + j + 3/8*s**3 + 9/8*s**2.
3*(s + 1)**3/8
Let h(q) be the second derivative of -q**8/5040 + 13*q**6/540 + 2*q**5/15 - 137*q**4/6 - 9*q - 11. Let a(i) be the third derivative of h(i). Factor a(c).
-4*(c - 4)*(c + 1)*(c + 3)/3
Let b(k) = -2*k**3 - 8*k**2 + 7*k + 5. Let t be b(-5). Suppose -t*u = -7*u. Find a, given that 0 + 4/3*a**4 + 2/9*a**5 + 16/9*a**2 + 8/3*a**3 + u*a = 0.
-2, 0
Suppose -14*u + 16*u = 12. Let z(o) = -8*o**2 + u - 14*o + 1 - 6. Let d(x) = -24*x**2 - 42*x + 2. Let l(r) = -3*d(r) + 10*z(r). Factor l(c).
-2*(c + 2)*(4*c - 1)
Let t(l) = -2*l + 6. Let o(z) = -3129*z**2 + 473*z - 38. Let v(p) = 5*o(p) + 30*t(p). Factor v(g).
-5*(7*g - 1)*(447*g - 2)
Let i(m) be the second derivative of m**7/210 + 13*m**6/150 + 9*m**5/100 - 41*m**4/60 - 31*m**3/15 - 12*m**2/5 - 265*m - 2. Factor i(w).
(w - 2)*(w + 1)**3*(w + 12)/5
Let c = -3154 + 3157. Let t(a) be the second derivative of 25*a - 1/4*a**c - 9/16*a**2 - 1/32*a**4 + 0. Factor t(k).
-3*(k + 1)*(k + 3)/8
Factor -1603*n + 5*n**3 - 2*n**3 - 180*n**2 + 3985*n - 1707*n - 1242*n.
3*n*(n - 63)*(n + 3)
Let d(i) be the first derivative of i**6/80 - 19*i**5/480 + i**4/96 - 163*i**3/3 + 184. Let m(s) be the third derivative of d(s). Factor m(q).
(q - 1)*(18*q - 1)/4
Factor -12/7 + 291/7*f - 72/7*f**2.
-3*(f - 4)*(24*f - 1)/7
Suppose 5*o - 11*b + 12*b = 7, -4*o + 5 = b. Suppose 0 = 180*q - 181*q + o. Determine x so that 2/3*x**3 - q*x**2 + 0 + 0*x = 0.
0, 3
Suppose -3*n + n = -2*v + 4, 0 = -3*v + 15. Let l be (n/(-2))/(6/(-148)). Find u such that -l*u**3 + 10 - 35*u**3 + 67*u**3 + 15*u = 0.
-1, 2
Let u(o) = 11*o**2 - 5*o + 8. Let n(r) = 2069*r**2 - 4138*r**2 + 3*r - 4 + 2064*r**2. Let i = 17 + -10. Let v(j) = i*n(j) + 3*u(j). Factor v(k).
-2*(k - 2)*(k - 1)
Let h(n) = -21*n**2 - 36*n - 87. Let b(x) = 380 - x**2 + 376 - 755. Let a(k) = -18*b(k) + h(k). Let a(w) = 0. What is w?
-7, -5
Let z be (-44)/21 + (-180)/(-27). Solve z + 34/7*g + 2/7*g**2 = 0 for g.
-16, -1
Let o(a) be the second derivative of -a**6/6 - 31*a**5/4 - 515*a**4/12 + 225*a**3/2 + a + 2696. Find i such that o(i) = 0.
-27, -5, 0, 1
Let -6/11*z**2 + 248/11 + 368/11*z = 0. What is z?
-2/3, 62
Let z(v) = 14*v**4 - 12*v**3 - 353*v**2 - 3*v + 6. Let r(n) = -165*n**4 + 145*n**3 + 4235*n**2 + 35*n - 70. Let a(t) = 3*r(t) + 35*z(t). Factor a(c).
-5*c**2*(c - 10)*(c + 7)
Let z = -1 - -1. Suppose z = -2*f + 2, 5*b + 14*f - 12 = 17*f. Solve -5/7*j**2 - 2/7*j + 0 - 3/7*j**b = 0 for j.
-1, -2/3, 0
Let p be (-5 - (-664)/12)*6. Factor -958*r - 5*r**4 + 70*r**3 - 41*r**2 - 1620 - 24*r**2 - p*r.
-5*(r - 9)**2*(r + 2)**2
Let m be (5322/23062)/((-12)/(-104)). Factor -m + 57/4*h - 7/4*h**2.
-(h - 8)*(7*h - 1)/4
Let x = 90775 + -272317/3. Factor -2*c**2 + 1/3*c**3 + 0 + x*c.
c*(c - 4)*(c - 2)/3
Let p be (-27)/(-2) + 13/(-34 + 45 + -12). Let h - 12 + p*h**2 = 0. What is h?
-6, 4
Let g(a) = -51*a - 3. Let h be g(0). Let i be (-2)/h*(-120)/(-35). Factor -2/7*f**2 - i - 12/7*f.
-2*(f + 2)*(f + 4)/7
Let a = 218 - 200. Let y(i) = 9*i**4 - 168*i**3 + 261*i**2 - 36*i. Let h(x) = x**4 + x**2 - x. Let q(k) = a*h(k) + y(k). Factor q(b).
3*b*(b - 3)**2*(9*b - 2)
Let j be 610317/567 - 2/18. Let z = 1078 - j. Find i such that -8/7*i + 8/7*i**3 - z*i**4 + 16/7*i**2 - 4/7 = 0.
-1, -1/3, 1
Let w(i) be the first derivative of i**3/9 - 18*i**2 - 708. Factor w(h).
h*(h - 108)/3
Let d(t) be the first derivative of -2*t**3/3 + 1122*t**2 - 629442*t + 666. Factor d(x).
-2*(x - 561)**2
Let r(b) be the second derivative of -b**4/3 - 146*b**3/3 - 144*b**2 - 2*b + 1. What is i in r(i) = 0?
-72, -1
Let t(h) be the second derivative of h**7/16380 - 3*h**5/65 + h**4/4 + 31*h**3/6 - 193*h. Let z(y) be the third derivative of t(y). What is v in z(v) = 0?
-6, 6
Let n(d) = -4*d**3 - 4*d**2 + 4. Let j(k) = 4*k**3 + k**2 + k - 3. Let u = 421 + -417. Let o(h) = u*j(h) + 3*n(h). Factor o(g).
4*g*(g - 1)**2
Suppose -3*i + 20 = -70. Let j = 35 - i. Let 3 - 4*a**2 - a**2 - 2*a**4 + j*a**4 - a**2 = 0. What is a?
-1, 1
Let u(v) be the second derivative of -v**6/18 + 11*v**5/20 - 13*v**4/36 - 17*v**3/2 + 15*v**2 - 1392*v. Let u(w) = 0. Calculate w.
-2, 3/5, 3, 5
Let x(g) be the first derivative of 110 + 0*g + 39/8*g**4 + 3/10*g**5 + 55/2*g**3 + 225/4*g**2. Solve x(z) = 0.
-5, -3, 0
Let m(f) be the second derivative of -f**6/180 - f**5/2 - 479*f**4/36 - 145*f**3/3 - 841*f**2/12 + 3847*f. Solve m(c) = 0 for c.
-29, -1
Let v(c) be the first derivative of 49 - 15/2*c**2 + 3/4*c**4 + 2*c**3 - 18*c. Factor v(j).
3*(j - 2)*(j + 1)*(j + 3)
What is p in -19408*p**3 + 80*p + 24*p**2 + 2*p**5 - 5*p**4 + 19380*p**3 - p**4 = 0?
-2, 0, 2, 5
Let n = -111 - -113. Factor -15*p**n + 19*p + 348 - 408 + 137*p.
-3*(p - 10)*(5*p - 2)
Suppose 35*z - 1479 = 1671. Let q be ((-51)/(-255))/(3/z*2). Solve 0*v + 0*v**2 + 0 - 2/9*v**q = 0 for v.
0
Let g(c) = 15*c**2 - 4648*c - 1076468. Let r(p) = -10*p**2 + 4646*p + 1076471. Let h(l) = 3*g(l) + 4*r(l). Determine f, given that h(f) = 0.
-464
Let o = -483/8 - -60. Let m = -1/88 - o. Solve 6/11*c**4 - m*c**2 - 4/11*c**3 - 2/11*c**5 + 6/11*c - 2/11 = 0 for c.
-1, 1
Let d be 29/((7 - -3)/10). Solve 8*v**4 - 88*v + 51*v + 2*v**3 - 20*v**2 + 16 + 2*v**5 + d*v = 0.
-2, 1
Let c be 2016/(-448)*8/(-9). Let s(i) be the second derivative of -1/75*i**6 + 0*i**3 + 6*i + 1/50*i**5 + 0*i**2 + 0 + 0*i**c. Factor s(d).
-2*d**3*(d - 1)/5
Suppose 2*n = 4*n + 5*j + 17, -5*n = -3*j - 35. Factor -16*g**2 - 5*g**3 + 16*g + g**3 + 87*g**n - 83*g**4.
4*g*(g - 2)*(g - 1)*(g + 2)
Factor 2/5*w**2 - 104/5 - 102/5*w.
2*(w - 52)*(w + 1)/5
Let d be (-1428)/136*((-1287)/126 - -10). Let 3*g + 15/4*g**4 - 15/4*g**2 + 0 - d*g**3 - 3/4*g**5 = 0. What is g?
-1, 0, 1, 4
Let -2/7*r**5 + 20/7*r**2 - 6/7*r + 12/7*r**4 + 0 - 24/7*r**3 = 0. Calculate r.
0, 1, 3
Let u be (-36)/(-24)*(-4)/(-3). Factor -75*x + 2*x**2 - 6*x**2 - 12*x**u - 11*x**2 + 18.
-3*(x + 3)*(9*x - 2)
Let s(t) be the third derivative of t**6/1260 - 6*t**5/35 + 108*t**4/7 + 7*t**3/2 - 3*t**2 + 35. Let b(h) be the first derivative of s(h). Solve b(a) = 0.
36
Let l be 377651/5330 + -71 - (-3)/10. Factor -34/13*b + 32/13 + l*b**2.
2*(b - 16)*(b - 1)/13
Suppose 3*w + 276 = 3*r, 6*r + 2*w = 7*r - 96. What is o in 55*o**3 - 16*o + 156*o - 24*o**2 - 88*o**2 + 5*o**4 - r*o**2 = 0?
-14, 0, 1, 2
Let g(c) be the first derivative of -10*c**3/39 + 9917*c**2/13 - 7932*c/13 - 11257. Factor g(x).
-2*(x - 1983)*(5*x - 2)/13
Determine v so that 14/9*v**5 + 20/9*v**2 - 68/9*v**4 + 10*v**3 + 16/3 - 104/9*v = 0.
-1, 6/7, 1, 2
Let f(y) = -22*y**2 - 916*y + 20282. Let q(x) be the first derivative of 4*x**3/3 + 183*x**2/2 - 4056*x - 150. Let g(m) = 3*f(m) + 16*q(m). Factor g(b).
-2*(b - 45)**2
Suppose 6*g + 450 = 9*g. Let p = -104 + g. Factor p*r - 156*r**2 - 64*r**4 - 284*r**3 - 3 + 524*r**3 - 9*r.
-(r - 3)*(4*r - 1)**3
Suppose 20 = -540320*v + 540340*v. Factor -1/4*p**2 + v + 0*p.
-(p - 2)*(p + 2)/4
Suppose -62 = -5*f - o, o + 34 = 3*f - 0*o. Let m be ((-5)/(25/f))/(4/(-10)). Let 37 - m*v**2 - 12*v + 2*v**2 + 3 = 0. What is v?
-5, 2
Let q(v) be the second derivative of -v**8/672 + v**7/56 - 41*v**3/6 - v**2/2 - 67*v - 2. Let g(l) be the second derivative of q(l). Factor g(k).
-5*k**3*(k - 6)/2
Factor -21*k + 48 - 3/2*k**2.
-3*(k - 2)*(k + 16)/2
Factor -69 + 48*z + z - z**2 + 581 - 68 + 2*z**2.
(z + 12)*(z + 37)
Suppose 2*v = -2*v + 8. Let m be 1512/(-336)*(-12)/24. Suppose 3/4*j**v + m*j + 3/2 = 0. Calculate j.
-2, -1
Let g(h) be the second derivative of 7*h**5/90 + 17*h**4/27 + 52*h**3/27 + 8*h**2/3 + h + 3237. Solve g(u) = 0 for u.
-2, -6/7
Let b(u) be the second derivative of u**7/315 - u**6/180 - u**5/90 + u**4/36 - 44*u**2 + 34*u. Let n(x) be the first derivative of b(x). Factor n(k).
2*k*(k - 1)**2*(k + 1)/3
Suppose -s - 74 = -5*o - 3, 83 = 5*o + 2*s. Suppose 2 = o*i - 28. Factor 4/5*w**i + 16/5*w + 16/5.
4*(w + 2)**2/5
Let s be 20/50 - ((-92)/(-10))/(-2). Let 5 - 4*d**2 - 12 - 28 - s*d + 33*d + 11 = 0. Calculate d.
1, 6
Let f(k) be the third derivative of k**6/160 + k**5/20 - k**4/32 - k**3/2 + 380*k**2 + k. Suppose f(j) = 0. Calculate j.
-4, -1, 1
Let a(l) = -2*l**2 + 97*l - 384. Let g be a(4). Let p(k) = k**3 + 28*k**2 + k + 31. Let t be p(g). Factor 9/2 - 19/2*i - 1/2*i**t + 11/2*i**2.
-(i