9/2*t**4 + 15*t**2 - 12*t**3 - 9*t. Let u(x) = 0. Calculate x.
1, 3
Let t(w) be the first derivative of -w**6/3 + 98*w**5/5 - 47*w**4 - 4*w**3/3 + 95*w**2 - 94*w + 6210. Factor t(z).
-2*(z - 47)*(z - 1)**3*(z + 1)
Let c(p) = p**2 - 123*p - 3356. Let s be c(-23). Factor -80/13*m + 800/13 + 2/13*m**s.
2*(m - 20)**2/13
Let t(u) be the third derivative of -u**5/690 + 3*u**4/46 + 403*u**3/69 - 4*u**2 + 10*u + 4. Find p, given that t(p) = 0.
-13, 31
Let b be ((-3)/12)/(-3 - 138/(-48)). Determine p so that -71*p**4 + 116*p**4 - 45*p**b + 7*p**3 + 3*p**3 - 20*p**5 + 10*p = 0.
-1, 0, 1/4, 1, 2
Let p(h) be the first derivative of 1/20*h**4 + 26 - 17/10*h**2 + 7/15*h**3 + 9/5*h. Factor p(i).
(i - 1)**2*(i + 9)/5
Let q be (-1*(-2)/(-6))/((-2)/(-12)). Let z be (-2 - (q + -75)) + -4. Determine s, given that z*s - 25*s**3 - 106*s + 52*s**2 - 7*s**2 + 5*s**4 + 10 = 0.
1, 2
Factor -343009*w + 48 + w**3 + 343173*w - 110*w**2 + 7*w**3.
2*(w - 12)*(w - 2)*(4*w + 1)
Let s(p) = -p**5 - 2*p**2 + p. Let h(v) = -9*v**5 - 66*v**4 - 69*v**3 - 24*v**2 + 12*v. Let d(t) = -h(t) + 12*s(t). Suppose d(o) = 0. What is o?
-1, 0, 23
Suppose -227/3*l + 892/3 + 1/3*l**2 = 0. What is l?
4, 223
Let v(z) = -11*z**2 - 15*z + 20. Let w(a) = 3*a**2 + 5*a - 6. Let y(j) = 2*v(j) + 7*w(j). Let k be y(4). Let 2/7*f**k + 0 + 4/7*f = 0. Calculate f.
-2, 0
Suppose -3/5*o**4 + 3*o**2 + 0*o - 13/5*o**3 + 1/5*o**5 + 0 = 0. Calculate o.
-3, 0, 1, 5
Let j = 386013 + -386011. Factor 58/9*v + 0 - 2/9*v**j.
-2*v*(v - 29)/9
Factor -4*h + 2*h**2 - 222 - 80*h - 136*h.
2*(h - 111)*(h + 1)
Let s(a) = 3*a**3 + 2*a**2 - 4*a + 9. Let v be s(-4). Let k = v + 137. Let -3*h**3 + 2 - k*h**2 - h**4 - 14*h + h**2 + 17*h = 0. Calculate h.
-2, -1, 1
Let g(z) = -5728*z + 22912. Let m be g(4). Let 0*x + m + 4/7*x**2 = 0. What is x?
0
Let c(s) be the first derivative of 10*s**3/3 - 19*s**2 + 24*s - 1301. Find w, given that c(w) = 0.
4/5, 3
Let j = 1038 + -1034. Let u be 70/(-84)*((-16)/5)/j. Factor 0*f**2 + 4/3*f**3 - 4/3*f - 2/3*f**4 + u.
-2*(f - 1)**3*(f + 1)/3
Let r(w) be the second derivative of w**8/1344 - w**7/252 - w**6/144 + w**5/12 - 23*w**4/3 - 38*w. Let a(l) be the third derivative of r(l). Factor a(y).
5*(y - 2)*(y - 1)*(y + 1)
Let 680625/2 - 825*q + 1/2*q**2 = 0. What is q?
825
Suppose -435 + 19*y**2 - 91*y - 8*y**2 - 18*y - 12*y**2 - 39*y = 0. What is y?
-145, -3
Let o = -3723 + 3723. Let w(r) be the second derivative of 18*r + 17/4*r**3 + 5*r**4 + 6/5*r**5 + o + 3/2*r**2. Solve w(k) = 0.
-2, -1/4
Let r(g) be the second derivative of -3*g**3 - 1/4*g**4 + g + 0*g**2 - 1/2*g**6 - 15 + 9/5*g**5. Find b such that r(b) = 0.
-3/5, 0, 1, 2
Find f such that 562 - 440*f**2 - 15*f**3 - 2873*f + 1013*f + 415 + 463 = 0.
-24, -6, 2/3
Solve 20/3*z**3 + 708 - 476*z - 3532/3*z**2 = 0.
-1, 3/5, 177
Let y = -2559/4 - -2565/4. Let v(m) be the first derivative of -3/40*m**5 - 9/16*m**4 - 3/2*m**2 - 11 + 0*m - y*m**3. Solve v(p) = 0.
-2, 0
Let k(h) be the first derivative of h**5/20 - 29*h**4/8 + 79*h**3 - 1539*h**2/4 + 2187*h/4 + 3087. Factor k(w).
(w - 27)**2*(w - 3)*(w - 1)/4
Let f(y) be the second derivative of 66*y**2 - 1 - 12*y**3 + 1/4*y**4 - 306*y. Factor f(a).
3*(a - 22)*(a - 2)
Suppose -51 = -18*b + b. Suppose 0*l - 6*l**b - 5*l**4 + 2*l + 6*l + 4*l**2 - l**5 = 0. Calculate l.
-2, 0, 1
Let m(s) be the second derivative of -s**4/54 + 56*s**3/9 - 784*s**2 - 631*s. Find j, given that m(j) = 0.
84
Let s = -389905/7 + 55701. Find q such that -10/7*q - 12/7 - s*q**4 + 2*q**2 + 10/7*q**3 = 0.
-1, 1, 6
Suppose -81*t + 5*h - 21 = -85*t, 3*t = -2*h + 14. Factor -1/5*i**2 + t*i - 20.
-(i - 10)**2/5
Suppose 28/3*i**3 + 0 - 10*i**4 - 29/3*i + 1/3*i**5 + 10*i**2 = 0. Calculate i.
-1, 0, 1, 29
Determine z, given that 0 - 2079/5*z + 1/5*z**3 + 2078/5*z**2 = 0.
-2079, 0, 1
Let d(g) be the third derivative of 2*g**2 - 5 + 72*g**6 + 1152*g**5 + 0*g + 12/7*g**7 + 0*g**3 + 5/336*g**8 + 0*g**4. Find j such that d(j) = 0.
-24, 0
Suppose -13*d + 100 = -18*d. Let t be 160/d - (-26)/3. Solve t*b**3 + 0 + 0*b + 0*b**2 = 0 for b.
0
Let h(t) be the first derivative of -5*t**6/18 + 5*t**5/6 + 65*t**4/8 - 115*t**3/9 - 280*t**2/3 - 80*t + 4712. Solve h(w) = 0 for w.
-3, -2, -1/2, 4
Let j(v) be the second derivative of 5*v**7/42 + 131*v**6/3 + 1027*v**5/2 + 7015*v**4/3 + 10175*v**3/2 + 5715*v**2 - 2*v + 1548. Suppose j(f) = 0. What is f?
-254, -3, -1
Let z = 53 + -58. Let u be (0/z - 213)*(-2)/6. Factor 55*m + 9*m**3 + 11*m**3 - 22*m**2 - 10 - u*m**2 + 28*m**2.
5*(m - 2)*(m - 1)*(4*m - 1)
Find c such that -72 + 4*c + 21*c**2 + 26*c - 15*c**2 - 8*c**2 = 0.
3, 12
Let w(s) = 53*s**2 - 3*s - 3. Let k be w(3). Find a, given that -6*a**2 - 120 - 204*a**2 + 5*a**3 + k*a - 85*a + 20*a**3 = 0.
2/5, 2, 6
Find d such that 0 + 0*d - 43/5*d**2 - 9*d**4 - 1/5*d**5 - 87/5*d**3 = 0.
-43, -1, 0
Let i(f) = -1690*f + 6763. Let u be i(4). Let o(k) be the first derivative of 4*k**u - 4/5*k**5 + 9 + 0*k**4 + 0*k - 4*k**2. Factor o(s).
-4*s*(s - 1)**2*(s + 2)
Let a be (23628/352 + -68)*2/(-7). Let -1 + 5/4*b**2 + a*b = 0. What is b?
-1, 4/5
What is t in 4 - 13 + 3*t + t**2 - 6 - 10 - 15 = 0?
-8, 5
Let x(o) be the second derivative of o**8/15120 - o**6/3240 - 3*o**3 - o - 1. Let g(d) be the second derivative of x(d). Factor g(t).
t**2*(t - 1)*(t + 1)/9
Let w(d) = 48*d**2 - 561*d - 1950. Let z(g) = -20*g - 218. Let m be z(-11). Let u(s) = -3*s**2 + 35*s + 122. Let a(r) = m*w(r) + 33*u(r). Factor a(p).
-3*(p - 14)*(p + 3)
Factor 14*x - 2*x**2 + 81*x + 16*x - 6*x + 79*x.
-2*x*(x - 92)
Factor -2*a**2 + 24 - 28*a - 92*a + 14*a + 84.
-2*(a - 1)*(a + 54)
Let v(k) be the first derivative of k**4/30 + 4*k**3/15 - 12*k**2/5 - 82*k - 43. Let s(p) be the first derivative of v(p). What is r in s(r) = 0?
-6, 2
Let z(f) be the third derivative of -3/20*f**6 + 1/336*f**8 + 0*f**5 - 2*f**2 + 0 + 0*f**7 - 31*f + 0*f**3 + 27/8*f**4. Factor z(a).
a*(a - 3)**2*(a + 3)**2
Let z be 4/(-6)*14 - (-77 - -67). Let 10/3 + z*t**2 + 4*t = 0. What is t?
-5, -1
Let x(w) be the first derivative of w**6/2 + 132*w**5/25 - 93*w**4/5 - 22*w**3/5 + 357*w**2/10 - 66*w/5 + 478. What is o in x(o) = 0?
-11, -1, 1/5, 1, 2
Let u be 10/(-8) - (-602)/8. Let m = 109 - u. Determine a so that 93*a**3 - m*a**4 + 35*a**2 + 6 - 10*a - 6 - 83*a**3 = 0.
-1, 0, 2/7, 1
Let k = 84 - 79. Suppose a = -p + 4, -k*p - 3*a = -0*p - 16. Suppose 3*y - 3*y**3 + 5*y**p + y**2 - 6 + y**2 - y**2 = 0. Calculate y.
-1, 1, 2
Let s(n) be the second derivative of 0 - 1/110*n**5 + 3/220*n**6 - 2/33*n**4 + 4/33*n**3 - 12*n**2 + 7*n. Let g(d) be the first derivative of s(d). Factor g(h).
2*(h + 1)*(3*h - 2)**2/11
Let x(o) = -o**2 - 50*o + 828. Let s be x(-63). Suppose -53*w + 115 = s. Determine k so that 12/7*k**w - 52/7*k - 40/7 = 0.
-2/3, 5
Factor 7120*q**2 + 336 - 2682*q - 1024/9*q**4 - 56192/9*q**3.
-2*(q + 56)*(8*q - 3)**3/9
Let n(w) be the second derivative of -w**4/4 - 53*w**3/2 + 81*w**2 + 521*w. Factor n(p).
-3*(p - 1)*(p + 54)
Let c(j) be the third derivative of 0*j + 4/15*j**5 - 11/6*j**4 - 10 + 1/30*j**6 - 2*j**2 + 4*j**3. Solve c(d) = 0.
-6, 1
Let g(c) = -4*c**2 + 22*c. Let h(y) = y**2 - 6*y. Let f be 7/(42/(-114)) + (-2)/(-2). Let v(x) = f*h(x) - 4*g(x). Factor v(j).
-2*j*(j - 10)
Find i such that 0 - 1/6*i**5 + 22/3*i**2 + 0*i + 29/2*i**3 + 7*i**4 = 0.
-1, 0, 44
Let g = 12193994/53509419 + 600/34367. Let p = -4/173 + g. Factor 8/9*r - 2/9 - 8/9*r**3 + p*r**2.
-2*(r - 1)*(r + 1)*(4*r - 1)/9
Let j be 8 + -1 - (-3 - (5 + (-24)/2)). Let k(g) be the first derivative of -1/15*g**j + 33 + 6/5*g**2 - 36/5*g. Factor k(o).
-(o - 6)**2/5
Let j(y) be the second derivative of -y**7/90 + 11*y**6/60 + y**5/3 - y**4/2 - 4*y + 14. Let x(v) be the third derivative of j(v). Factor x(t).
-4*(t - 5)*(7*t + 2)
Let t(o) be the second derivative of o**4/48 + 19*o**3/8 + 53*o**2/2 - 1252*o. Factor t(b).
(b + 4)*(b + 53)/4
Let r be (-11)/(-198) + 8/18. Let v(l) be the first derivative of -r*l**5 + 0*l - 5/2*l**2 - 5 + 5/2*l**3 + 0*l**4. Determine c so that v(c) = 0.
-2, 0, 1
Let c(g) be the third derivative of 0*g + 5/24*g**6 + 1/42*g**7 - 85/24*g**4 - 4*g**2 - 25/3*g**3 - 1/4*g**5 + 39. Let c(h) = 0. Calculate h.
-5, -1, 2
Let g(b) be the third derivative of -b**6/180 + 13*b**5/90 + 4*b**4/9 - 28*b**3/9 - 1099*b**2. Solve g(z) = 0.
-2, 1, 14
Let -279074