 = 0.
10, 35
Let q(a) = 460*a**2 - 620*a + 90. Let b(c) = -29*c - 7 - 40*c + 17 + 51*c**2. Let d(o) = 35*b(o) - 4*q(o). Factor d(m).
-5*(m - 1)*(11*m - 2)
Let 0*d + 1/9*d**5 - 32/9*d**4 + 0 - 58/9*d**2 + 89/9*d**3 = 0. Calculate d.
0, 1, 2, 29
Let c(j) be the first derivative of -j**4/4 - 5*j**3 - 34*j**2 - 96*j + 1859. Suppose c(o) = 0. Calculate o.
-8, -4, -3
Let m be (-69 - -75)*2/6. Solve 26*b**4 + 50*b**m - 9*b**4 - 22*b**4 + 15*b**3 = 0 for b.
-2, 0, 5
Let o(m) = 520*m - 143520. Let f be o(276). Factor 0*v**2 + 4/7*v**3 + f - 4/7*v.
4*v*(v - 1)*(v + 1)/7
Let -70*u - 1148 - 66*u**2 + 65*u**2 + 1079 = 0. Calculate u.
-69, -1
Suppose 1079*i - 1117*i = 71 - 223. Factor 12 + 16*s + 4/3*s**i - 16/3*s**3 - 8/3*s**2.
4*(s - 3)**2*(s + 1)**2/3
Let m(h) be the second derivative of -h**5/80 + 81*h**4/16 + h**3/24 - 243*h**2/8 - 8656*h. Factor m(f).
-(f - 243)*(f - 1)*(f + 1)/4
Let g(m) be the first derivative of -m**5 + 75*m**3 + 100*m**2 - 420*m - 214. Find z such that g(z) = 0.
-6, -2, 1, 7
Find q, given that 4/9*q**4 - 8/9*q**2 - 14/3*q**5 + 4/9 + 28/3*q**3 - 14/3*q = 0.
-1, 2/21, 1
Let y(w) = w**3 + 5*w**2 + 2*w - 9. Suppose -14*n + 19*n = 5*u - 5, 3*u = 5*n + 11. Let f be y(u). Factor 0 + 2/3*x**5 + 0*x**2 + 0*x**f - 2/3*x**4 + 0*x.
2*x**4*(x - 1)/3
What is s in 636*s**2 - 1240 + 556*s + 1735*s**2 + 56*s - 507*s**2 + 12*s**3 = 0?
-155, -1, 2/3
Let c(u) = -u - 12. Let t be c(-4). Let a be 16/(-20)*-5*(-4)/t. Determine z, given that 5*z**4 - 4*z**5 - 77*z**a - 13*z**4 + 77*z**2 = 0.
-2, 0
Let z(w) = 3*w**3 - 37*w**2 + 192*w - 270. Let l(k) = 7*k**3 - 73*k**2 + 377*k - 543. Let j(m) = 2*l(m) - 5*z(m). Determine f, given that j(f) = 0.
2, 4, 33
Let i(b) be the second derivative of 3*b**5/20 + 43*b**4/4 - 93*b**3/2 - 405*b**2/2 - 421*b - 6. What is p in i(p) = 0?
-45, -1, 3
Let q be (-1 + 1)*(-17 - -19)/(-2). Let i(z) be the first derivative of 0*z**2 + 0*z**3 - 3/5*z**5 + 1/4*z**6 + q*z + 3/8*z**4 - 11. Let i(x) = 0. What is x?
0, 1
Let q(o) be the second derivative of 1/3*o**3 - 2*o**2 + 8 + 1/3*o**4 - 1/10*o**5 - 7*o. Solve q(a) = 0 for a.
-1, 1, 2
Let j(a) be the second derivative of -a**4/8 - 111*a**3/4 + 345*a**2 - a + 927. Suppose j(i) = 0. What is i?
-115, 4
Let c(t) be the first derivative of -2205*t**4/4 + 1330*t**3 + 410*t**2 + 40*t + 1569. Let c(l) = 0. What is l?
-2/21, 2
Let h = 183 + -177. Let j(w) = 106*w**3 + 587*w**2 - 2040*w + 1389. Let m(c) = 52*c**3 + 294*c**2 - 1020*c + 694. Let b(g) = h*j(g) - 11*m(g). Factor b(p).
4*(p + 7)*(4*p - 5)**2
Factor -32*m + 257/4*m**2 - 65/2*m**3 + 0 + 1/4*m**4.
m*(m - 128)*(m - 1)**2/4
Suppose 4 = 3*r + 2*j - 2, 0 = -r + 4*j + 2. Suppose -17*f + r = -16*f. Factor -20*y**3 - 4*y**f - y**2 - 11*y**4 + 36*y**4.
5*y**2*(y - 1)*(5*y + 1)
Let w = 1/4532 + 283/1133. Let a(u) be the first derivative of w*u**2 + 2/3*u - 28 - 1/18*u**3. Solve a(t) = 0.
-1, 4
Let y(j) be the first derivative of j**2 - j + 283. Let v(u) = -3*u**3 + 21*u**2 + 6*u - 81. Let m(g) = -v(g) - 3*y(g). Factor m(n).
3*(n - 7)*(n - 2)*(n + 2)
Let q be (-11 + 2)/((-2)/2). Factor 15*x**3 - x**4 + 6*x - 9*x**3 + 12 - q*x**2 - 10*x.
-(x - 3)*(x - 2)**2*(x + 1)
Let q be 1 + ((-20)/450)/((-4)/1010) - -10. What is f in 8*f**2 + 242/9*f**3 + 40*f**4 + 0 + 8/9*f + q*f**5 = 0?
-1/2, -2/5, 0
Let g(u) be the first derivative of 1/14*u**4 + 0*u - 4/7*u**3 + 75 + 5/7*u**2. Determine f, given that g(f) = 0.
0, 1, 5
Let n(h) = -h**3 + 7*h**2 - 2*h + 10. Let a be n(3). Suppose 2*k + a = 2*z, -2*z + 3*z + 3*k - 12 = 0. Factor z*f + 54 + 3/2*f**2.
3*(f + 6)**2/2
Let t(j) = 8*j**2 - 3*j - 1. Let m be t(-3). Factor 4*d**3 - 6754 - m*d**2 + 438*d + 5730 + 74*d.
4*(d - 8)**2*(d - 4)
Let x(r) = 13*r - 4*r + 1 - 52*r**3 + 3*r**2 - 6*r. Let h be x(-1). Determine b so that h*b**2 - b**3 + 2*b + 58*b**2 - 110*b**2 = 0.
-1, 0, 2
Let s(g) be the second derivative of g**4/78 - 4232*g**3/39 + 4477456*g**2/13 + 6253*g. Determine k so that s(k) = 0.
2116
Let q(a) = 29*a + 390 + 7*a + 0*a - 208. Let m be q(-5). Solve 0*d + 3/2*d**3 + 0*d**m + 0 = 0.
0
Let o(y) = 119*y + 1904. Let j be o(-16). Suppose j*c + 0 + 1/9*c**3 - 2/9*c**2 = 0. Calculate c.
0, 2
Let h(v) = -v**3 - 38*v**2 - 77*v + 69. Let c be h(-34). Let n = 1937 + c. Solve -2/9*f**5 + 2/9*f**3 + n*f + 2/9*f**4 + 0 - 2/9*f**2 = 0.
-1, 0, 1
Let g be (19/(171/30))/((-2)/(-3)). Let b be (g/7)/(530/212). Find q, given that 6/7*q**3 - 4/7*q**2 + 0*q + 0*q**4 + 0 - b*q**5 = 0.
-2, 0, 1
Let j be (36/90)/(3/(-9) - 78/(-18)). Let g(o) be the second derivative of -2/5*o**2 + 1/60*o**4 - 38*o - j*o**3 + 0. Find l, given that g(l) = 0.
-1, 4
Let s = -241093/8 - -30137. Factor -15/8*x**3 - 3*x**2 - 3/2*x + 0 - s*x**4.
-3*x*(x + 1)*(x + 2)**2/8
Suppose 0*t = t - 4*i - 12, -5*t + 4*i = -12. Suppose t = -2*v + 4. Find s such that -4*s + 7*s**v - s - 2*s**2 + 0*s = 0.
0, 1
Let b = -694 + 697. Let a(h) be the third derivative of 8*h**2 - 1/138*h**4 + 0*h + 0 - 1/690*h**5 + 0*h**b. Factor a(c).
-2*c*(c + 2)/23
Factor 9*l**3 + 63*l + 13*l**3 + 174*l + 123*l**2 + 117 - 19*l**3.
3*(l + 1)**2*(l + 39)
Let i(g) be the third derivative of g**7/105 - 7*g**6/12 + 67*g**5/30 - 11*g**4/4 + 663*g**2. Solve i(q) = 0 for q.
0, 1, 33
Let i(y) = 3*y**4 + 12*y**3 - 23*y**2 + 4*y + 8. Let j(v) = 8*v**4 + 35*v**3 - 68*v**2 + 14*v + 22. Let h(z) = -11*i(z) + 4*j(z). Solve h(x) = 0 for x.
0, 1, 3, 4
Suppose 0 = -5*p + 5*z + 95, -525*p + 3 = -524*p + 3*z. Let o be (-10)/(40/(-21))*72/p. Find l such that 24/5*l - 12/5 + 267/5*l**2 + o*l**3 = 0.
-2, -2/7, 1/6
Let b be (3/(-26))/(3867/(-83785)). Suppose -b*d**2 + 5/2*d + 30 = 0. Calculate d.
-3, 4
Let j = 266 + -270. Let f(p) = 4*p**3 - 6*p**2 + 2*p + 10. Let m(i) = -5*i**3 + 6*i**2 - 3*i - 11. Let b(d) = j*m(d) - 6*f(d). Factor b(w).
-4*(w - 2)**2*(w + 1)
Let i be (-444)/462 - 312/(-273). Factor -i*k**3 + 0*k + 8/11*k**2 + 0.
-2*k**2*(k - 4)/11
Let b = 69 + -64. Suppose 2*z - 3*c - 357 = 203, -1438 = -b*z - 2*c. Find o, given that z*o**2 - 3*o - 289*o**2 + 2*o**3 + o**3 + 3*o**4 = 0.
-1, 0, 1
Let l(y) be the first derivative of 3/4*y**4 - 83 + 13/2*y**2 + 29/9*y**3 + 6*y + 1/15*y**5. Factor l(t).
(t + 1)*(t + 2)*(t + 3)**2/3
Let h(r) be the first derivative of 3*r**5/35 + 31*r**4/28 - 4*r**3/7 + 30*r - 11. Let s(f) be the first derivative of h(f). Factor s(j).
3*j*(j + 8)*(4*j - 1)/7
Suppose -779*v + 780*v + 23 = 4*g, 0 = 41*g - 3*v - 127. Determine d, given that g + 2*d**2 - 20/3*d = 0.
1/3, 3
Let m(n) be the first derivative of 1/84*n**4 + 0*n - 2/21*n**3 - 1/2*n**2 + 16 + 1/210*n**5. Let c(b) be the second derivative of m(b). Factor c(p).
2*(p - 1)*(p + 2)/7
Let b(u) = -u**3 + u**2 - 12. Let s(c) = -7*c**3 + 13*c**2 - 32*c - 60. Let p(t) = -8*b(t) + s(t). Factor p(w).
(w - 2)**2*(w + 9)
Determine d so that -1385*d - 4072 + 1846 - 540 - d**2 = 0.
-1383, -2
Let j(t) be the second derivative of -t**6/135 + t**5/18 + 13*t**4/54 + 7*t**3/27 - 1717*t. Factor j(s).
-2*s*(s - 7)*(s + 1)**2/9
Let l(s) be the first derivative of -6*s**5/35 - 69*s**4/14 - 228*s**3/7 + 864*s**2/7 + 5184*s/7 - 3457. What is a in l(a) = 0?
-12, -2, 3
Let a be 42/(-28)*(-16)/6. Let l be (-3 - (-16)/6)*-9. Solve -6*v**l + v**3 - 8*v**2 + 3*v**2 + 5*v**a + 5*v**5 = 0.
-1, 0, 1
Let f(o) be the second derivative of -5*o**8/336 + o**7/14 - o**6/12 - 73*o**2/2 + o + 36. Let s(i) be the first derivative of f(i). Factor s(y).
-5*y**3*(y - 2)*(y - 1)
Let h(y) be the first derivative of -18*y**4 + 363/10*y**2 - 1/10*y**6 + 22/5*y**3 + 0*y - 102 - 66/25*y**5. Let h(i) = 0. Calculate i.
-11, -1, 0, 1
Suppose 41*m = 50*m - 7281. Let 48*y - 36 - 12*y**3 + 3*y**4 + 1607*y**2 - m*y**2 - 801*y**2 = 0. What is y?
-2, 1, 2, 3
Let y(z) be the first derivative of -1/2*z**4 + 6*z**3 - 24*z**2 - 63 + 32*z. Factor y(x).
-2*(x - 4)**2*(x - 1)
Let g(d) be the second derivative of 7*d**6/72 + 11*d**5/8 - 25*d**4/12 + 59*d**3/6 - 7*d + 3. Let a(p) be the second derivative of g(p). Factor a(s).
5*(s + 5)*(7*s - 2)
Let h(o) be the first derivative of o**4/2 - 32*o**3/3 + 39*o**2 - 336. Factor h(r).
2*r*(r - 13)*(r - 3)
Let z(n) be the first derivative of -7*n**4/8 - 29*n**3/6 - 8*n**2 - 2*n - 493. Factor z(w).
-(w + 2)**2*(7*w + 1)/2
Let k(o) be the third derivative of -o**5/40 - 52*o**4/3 + 139*o**3/3 + 3224*o**2. Factor k(z).
-(z + 278)*(3*z - 2)/2
Solv