t n(v) = 0. What is v?
-20, 1
Let z(f) be the first derivative of 5*f**4/2 + 215*f**3/12 + 235*f**2/8 + 15*f - 4660. Factor z(l).
5*(l + 1)*(l + 4)*(8*l + 3)/4
Let g(d) = -90*d**4 - 320*d**3 - 880*d**2 - 935*d - 335. Let p(v) = -11*v**4 - 40*v**3 - 110*v**2 - 117*v - 42. Let i(f) = 3*g(f) - 25*p(f). Solve i(j) = 0.
-3, -1
Suppose 67*p + 22*p + 172*p = -114*p + 1875. Suppose 0 + 0*u + 2/11*u**p + 0*u**2 - 2/11*u**4 + 0*u**3 = 0. Calculate u.
0, 1
Factor 92*r + r**3 + 87*r + 30*r**2 - 57900 + 56744 - 26*r.
(r - 4)*(r + 17)**2
Let s(w) = -12*w**4 - 4*w**3 - 17*w**2 - 5*w + 10. Let f(p) = -7*p**4 - p**3 - 8*p**2 - 2*p + 6. Let z(b) = -5*f(b) + 3*s(b). Find i such that z(i) = 0.
-5, -1, 0
Find v such that 27*v**2 - 162*v - 30*v + 74*v**4 + 63*v**4 + 45*v**2 + 144 - 140*v**4 = 0.
-6, 2
Let c(g) = 8*g**3 - 41*g**2 + 33*g + 2. Let a(w) = -33*w**3 + 161*w**2 - 131*w - 9. Let j(t) = -8*a(t) - 36*c(t). What is h in j(h) = 0?
0, 5/6, 7
Let z(o) be the third derivative of -o**6/150 - 592*o**5/75 - 43808*o**4/15 + 3*o**2 + 571*o. Suppose z(a) = 0. Calculate a.
-296, 0
Let m(s) = -15*s**5 + 16*s**4 + 252*s**3 - 189*s**2 - 582*s - 177. Let a(d) = -d**5 - 2*d**4 - d**2 + 2*d + 3. Let j(w) = -5*a(w) + m(w). Solve j(q) = 0 for q.
-4, -1, -2/5, 2, 6
Let g(c) be the first derivative of -4*c**5/5 + 14*c**4 + 116*c**3 + 296*c**2 + 304*c + 276. Suppose g(k) = 0. Calculate k.
-2, -1, 19
Let k = 113675/147693 + -5/11361. Factor 2/13*q**2 + k - 12/13*q.
2*(q - 5)*(q - 1)/13
Suppose 3756*b**3 + 184 - 4408/3*b + 54*b**4 + 6146/3*b**2 = 0. Calculate b.
-69, -1, 2/9
Let k(s) = 13*s - 15. Let y(r) = 28*r - 33. Let o(b) = -13*k(b) + 6*y(b). Let p be o(-6). Factor 9/2*m**2 + 5/2*m + m**4 + 7/2*m**p + 1/2.
(m + 1)**3*(2*m + 1)/2
Let d(z) = 25 + 4*z**2 + 6*z**2 + 7*z + z + 6*z**4 - 17 + 32*z**3. Let v(s) = 4*s**4 + 21*s**3 + 7*s**2 + 5*s + 5. Let k(o) = -5*d(o) + 8*v(o). Factor k(g).
2*g**2*(g + 1)*(g + 3)
Let l(f) be the first derivative of -f**5/60 + 2*f**3/3 + 47*f**2 + 143. Let p(z) be the second derivative of l(z). Factor p(m).
-(m - 2)*(m + 2)
Factor -3*g**2 - 15*g - 69*g + 1461 - 1281.
-3*(g - 2)*(g + 30)
Suppose 62 = -2*m + 6. Let v be m/(-6)*(0 - (-30)/35). Find q such that -60*q**4 + 3 - 270*q**v - 248*q**3 - 44*q**2 + 16*q - 128*q**5 + 10*q**4 + 1 = 0.
-1, -1/2, -1/4, 1/4
Suppose 5*l + 2235*d - 2233*d + 14 = 0, -l + 5*d = -35. Factor 1/3*f**3 + l - 8*f - 10/3*f**2.
f*(f - 12)*(f + 2)/3
Let d(l) = -l**2 + 3*l + 8. Let r(z) = -2*z**2 - 6*z - 13. Let w be r(-5). Let u(k) = 6*k**2 - 14*k - 41. Let j(o) = w*d(o) - 6*u(o). What is a in j(a) = 0?
-3, -2
Suppose 1 + 7 = 4*x. Let y = -10 + 12. Let -15*k**2 + x*k**3 + 4*k**2 + 7*k**y = 0. What is k?
0, 2
Let t(f) be the second derivative of -f**6/360 - 5*f**5/12 - 625*f**4/24 + f**3/6 + f**2 - 21*f. Let b(q) be the second derivative of t(q). Solve b(p) = 0.
-25
Let f(x) = 3*x - 95. Let d be f(37). Suppose 37*t + 5*t**2 + d*t + t**2 - 3*t**2 + t = 0. Calculate t.
-18, 0
Suppose -1144/3*m + 34/3*m**3 - 152/3 + 1262/3*m**2 = 0. Calculate m.
-38, -2/17, 1
Suppose -5*d + p = 3, 2*d - 8*p = -5526 + 5502. Factor -h - 1/4*h**3 - 5/4*h**2 + d.
-h*(h + 1)*(h + 4)/4
Let t(m) be the third derivative of -m**6/320 - 7*m**5/80 - 7*m**4/16 + 15*m**3/2 + 1185*m**2. Determine c so that t(c) = 0.
-10, -6, 2
Suppose 47 = -1090*w + 1094*w + 5*p, 0 = -2*w - 8*p + 62. Factor 5/2*k**w + 0*k + 1/2*k**5 + 0*k**2 + 3*k**4 + 0.
k**3*(k + 1)*(k + 5)/2
Let n(f) = -35*f + 105. Let u be n(3). Find d such that 9 + 2*d**2 + 62 + 11 + u*d**2 + 84*d = 0.
-41, -1
Let w(b) be the first derivative of -b**5/150 - b**4/18 - 8*b**3/45 - 4*b**2/15 - 7*b - 92. Let j(f) be the first derivative of w(f). Let j(s) = 0. Calculate s.
-2, -1
Let s(o) = 6*o**2 + 396*o + 1136. Let w be s(-3). Determine y, given that 200/3 - 680/3*y + w*y**5 + 146/3*y**3 + 66*y**2 - 62/3*y**4 = 0.
-2, 1/3, 2, 5
Suppose -17*u + 4*u + 130 = 0. Solve 4*k**4 + 7*k**2 + 33*k - 16*k**2 - 24 + 19*k - u*k**2 - 4*k**3 - 9*k**2 = 0.
-3, 1, 2
Factor 73 - 7*q**3 + 2*q**3 - 176*q - 19*q + 2*q**3 + 53 + 72*q**2.
-3*(q - 21)*(q - 2)*(q - 1)
Let y(j) be the third derivative of -j**6/210 + 2*j**5/21 + 4*j**4/7 + j**2 - 487*j. Determine v, given that y(v) = 0.
-2, 0, 12
Suppose 0 = -4*t - 5*p - 3, -6 = 5*p + 9. Suppose x = -4*l + 8, l - 4*x = -t + 5. Let 2*z + 6*z**2 - 4*z**3 + 5*z**3 + l*z + z**3 = 0. What is z?
-2, -1, 0
Suppose -y - 4*c = 11 - 3, c - 5 = -2*y. Suppose -164*h**2 - 29*h**4 + 20*h**y - 48*h**3 - 9 - 48*h + 86*h**2 = 0. What is h?
-3, -1, -1/3
Let o(p) be the third derivative of -p**6/24 + 17*p**5/6 - 325*p**4/24 + 80*p**3/3 + 1565*p**2. Let o(y) = 0. Calculate y.
1, 32
Let j(d) be the third derivative of d**7/105 - d**6/6 + 16*d**5/15 - 8*d**4/3 - 5*d**2 - 9. Let j(g) = 0. Calculate g.
0, 2, 4
Let f be -7*(1164/(-7))/12. Suppose 102*n = -4*a + f*n - 2, 4*n + 6 = -a. Suppose 0 + 2/5*l**a - 14/5*l = 0. What is l?
0, 7
Let m = -180 + 145. Let s be (-252)/m + -7 + 1/20. Factor -s*j**2 - 4*j - 16.
-(j + 8)**2/4
Let o(j) be the second derivative of j**6/30 + 19*j**5/10 + 167*j**4/4 + 1276*j**3/3 + 1694*j**2 - 1298*j. Factor o(p).
(p + 2)*(p + 11)**2*(p + 14)
Let c(j) = -349 + 14*j + 7*j**2 - 20*j + 343 - j**3. Let t be c(2). Suppose -8/7*o**5 - 26/7*o**4 + 0*o + 8/7*o**t + 0 + 26/7*o**3 = 0. What is o?
-4, -1/4, 0, 1
Let d(a) be the third derivative of -a**9/40320 - a**8/3360 - a**7/3360 + a**6/80 + 11*a**5/30 - 31*a**2. Let i(w) be the third derivative of d(w). Factor i(q).
-3*(q - 1)*(q + 2)*(q + 3)/2
Let u(a) be the second derivative of -5/12*a**4 + 1 - 1/90*a**6 + 4/15*a**5 + 0*a**2 + 0*a**3 - 74*a. Solve u(f) = 0 for f.
0, 1, 15
Suppose 1952/11*h + 1950/11 + 2/11*h**2 = 0. What is h?
-975, -1
Let h(q) be the third derivative of -q**8/84 + 38*q**7/105 - 8*q**6/3 - 20*q**5/3 - 4539*q**2. Suppose h(k) = 0. Calculate k.
-1, 0, 10
Let p be 100*1 + (-5 + 2 - -7). Let z be 4/3 + p/(-132). Let 4/11*h - z + 2/11*h**2 = 0. Calculate h.
-3, 1
Suppose -26 = -3*y - 11. Let -2*s**2 - 36 - 6*s**2 - 76*s + 25*s**3 + 92*s**5 + 44*s**4 + 47*s**3 - 88*s**y = 0. Calculate s.
-9, -1, 1
Let o(j) be the second derivative of j**4/102 - 25*j**3/51 - 600*j**2/17 - 4339*j. Factor o(b).
2*(b - 40)*(b + 15)/17
Let c = 48658/64879 + 5/259516. What is b in 30*b - c*b**3 - 21 - 33/4*b**2 = 0?
-14, 1, 2
Let w = 23945/6 + -7979/2. Find h such that -1/3*h**2 + h + w = 0.
-1, 4
Suppose -3*o + 2*v = -10, -17*o - 4*v - 20 = o. Determine j, given that -5/3*j**3 + 0 + o*j - 95/3*j**2 = 0.
-19, 0
Let u(n) = -n**2 - 856*n - 105897. Let m be u(-150). Find j, given that 1/8*j**4 + 0*j - 27/8 + 9/4*j**2 + j**m = 0.
-3, 1
Let k = 93/167 - -8033/1169. Factor -12/7*n**2 + k*n + 40/7.
-4*(n - 5)*(3*n + 2)/7
Let c = 123 + -120. Factor 4*m**3 - m**c - 20*m - 46*m**2 + 0*m**3 + 3*m**3 + 32.
2*(m - 8)*(m + 1)*(3*m - 2)
Let f = 3883 + -3883. Let u(x) be the third derivative of 0 + 4*x**2 + 1/84*x**6 - 1/70*x**5 + 0*x - 1/42*x**4 + f*x**3. What is v in u(v) = 0?
-2/5, 0, 1
Let k be ((-8)/18*-1 + 72/(-162))/(-3). Let j(r) be the first derivative of 42 - 2/5*r**2 + 0*r**4 + 8/15*r**3 + 2/15*r**6 - 8/25*r**5 + k*r. Factor j(u).
4*u*(u - 1)**3*(u + 1)/5
Let i(h) be the third derivative of h**7/735 + h**6/210 - 3*h**5/70 - h**4/42 + 8*h**3/21 - 35*h**2 - 10. Determine s, given that i(s) = 0.
-4, -1, 1, 2
Let a = -2236/9 - -746/3. Factor 0 - a*s**2 + 0*s.
-2*s**2/9
Let w(n) be the second derivative of n**8/6720 - n**7/168 - n**6/720 + n**5/8 - 31*n**4/12 - 83*n. Let s(z) be the third derivative of w(z). Factor s(d).
(d - 15)*(d - 1)*(d + 1)
Factor -301 + 2799 + 5*k**2 + 2366 + 806 - 845*k + 0*k**2.
5*(k - 162)*(k - 7)
Let c(l) be the second derivative of l**5/170 - 13*l**4/17 - 53*l**3/17 - 80*l**2/17 - 16*l + 99. What is a in c(a) = 0?
-1, 80
Let l(f) be the first derivative of -3*f**2 + 36*f + 1/12*f**3 + 33. Factor l(r).
(r - 12)**2/4
Suppose 0*y - 2849 = -32*y - 2785. Factor 27/5*m**3 + 51/5*m**y + 28/5*m + 4/5.
(m + 1)*(3*m + 2)*(9*m + 2)/5
Let t be (0 + 30/(-9))/(24 - 26). Let g(x) be the second derivative of t*x**3 + 0 + 1/6*x**6 - 23*x - 5/12*x**4 + 5/42*x**7 - 3/4*x**5 + 0*x**2. Factor g(r).
5*r*(r - 1)**2*(r + 1)*(r + 2)
Factor 74 + 695*j - 2230*j + 734*j + 280 + 689*j - 2*j**2.
-2*(j - 3)*(j + 59)
Factor 6653 + 2*f**3 - 114*f + 0*f**2 + 112*f*