- a + 2*m + 145 = 0. What is m?
-1, 1
Solve 4508/5*i - 4/5*i**3 + 2248/5*i**2 + 2256/5 = 0 for i.
-1, 564
Let d = 9986/6235 - 2/1247. Let u = 411/5 + -81. Factor -8/5*k + d + 2/5*k**4 - u*k**2 + 4/5*k**3.
2*(k - 1)**2*(k + 2)**2/5
Let c be (-8)/46*(-141 - (-37037)/286). Factor -4 + 26/7*q + 2/7*q**c.
2*(q - 1)*(q + 14)/7
Let k = 53797 - 376577/7. Factor k*m**3 + 10/7*m**2 + 0*m + 0.
2*m**2*(m + 5)/7
Let w be ((-720)/(-315))/(3 + (-102)/42). Solve 1/2*f**2 - w - f = 0.
-2, 4
Let f be 2*38/4*((42 - 2)/(-20))/(-6). Factor -1 + 5/3*p + 23/3*p**2 + 4/3*p**4 + f*p**3.
(p + 1)**2*(p + 3)*(4*p - 1)/3
Let x(i) be the second derivative of -2 + 0*i**2 - 2/9*i**3 + 10*i + 1/15*i**5 + 1/45*i**6 - 1/18*i**4. Determine k, given that x(k) = 0.
-2, -1, 0, 1
Suppose -3*p = 43 - 181. Let k = -41 + p. Let -191*q**4 + 4*q + 195*q**4 - 16*q**2 - 4 + 4*q**3 - 2*q**k + 10*q = 0. What is q?
-2, 1
Let a(y) be the first derivative of 2*y**5/25 + 98*y**4/5 + 25676*y**3/15 + 316932*y**2/5 + 5229378*y/5 + 3336. Let a(l) = 0. What is l?
-77, -21
Let d(x) be the first derivative of -x**4/18 + 74*x**3/27 - 4*x**2 - 713. Determine s, given that d(s) = 0.
0, 1, 36
Let v(x) be the third derivative of -8/1155*x**7 + 0*x**3 - 1/55*x**6 + 0*x**4 + 0 - 1/1848*x**8 + 0*x**5 - x**2 + 0*x. Factor v(r).
-2*r**3*(r + 2)*(r + 6)/11
Let m = -600/11 + 6187/110. Let g = 151/30 - m. Find a, given that 1/3 + 5/3*a**4 + 10/3*a**2 + 1/3*a**5 + g*a**3 + 5/3*a = 0.
-1
Let h be -9 + (-20)/(-10) + 10. Let z(n) be the first derivative of -3*n**4 - 2*n**2 + 6 - 20/3*n**h + 4*n. Let z(b) = 0. What is b?
-1, 1/3
Factor -82/3*a - 2/3*a**2 - 80/3.
-2*(a + 1)*(a + 40)/3
Let t = 1993 - 1327. Find w, given that 54*w**2 + 6*w**3 + 3*w**4 - 714*w - 30*w**3 + 15 + t*w = 0.
1, 5
Let p(o) = -14*o - 4. Let u be p(-1). Let m = 14 - u. Determine i so that -3 - m*i + 24*i**2 + 6 - 3 = 0.
0, 1/6
Suppose 200*h - 182 - 218 = 0. Let f(n) be the first derivative of -4/11*n + 1/11*n**h + 18 + 4/33*n**3 - 1/22*n**4. Factor f(j).
-2*(j - 2)*(j - 1)*(j + 1)/11
Let q(p) be the first derivative of 280 + 784*p + 4/5*p**5 + 188*p**3 - 728*p**2 + 26*p**4. Factor q(f).
4*(f - 1)**2*(f + 14)**2
Factor 98/11*b**3 - 1050/11*b**2 - 2784/11*b - 1664/11.
2*(b - 13)*(7*b + 8)**2/11
Let i(d) be the first derivative of -d**4/10 - 424*d**3/15 - 211*d**2/5 - 1384. Factor i(l).
-2*l*(l + 1)*(l + 211)/5
Let j(b) be the second derivative of -1/60*b**6 - 83 - 2*b - 1/12*b**4 + 10/3*b**2 - b**3 + 13/120*b**5. Suppose j(m) = 0. What is m?
-5/3, 2
Suppose -5*j = 3*s + 1225, 3*j = 5*s + 125 - 894. Let i = -1237/5 - j. What is h in -39/5*h**2 - 12/5 - 36/5*h - i*h**4 - 18/5*h**3 = 0?
-2, -1
Let h(v) be the third derivative of -v**7/525 - 37*v**6/60 - 73*v**5/30 + 37*v**4/12 + 122*v**3/5 - 5*v**2 - 427. Solve h(f) = 0 for f.
-183, -2, -1, 1
Let t be (-34300)/(-42875) + ((-2)/5 - 0). Let 0 - t*z**5 + 12/5*z**4 - 24/5*z**3 + 4*z**2 - 6/5*z = 0. What is z?
0, 1, 3
What is k in 14356*k**2 + 14376*k**2 + k**3 + 14336*k**2 + 320*k - 43152*k**2 = 0?
0, 4, 80
Let d(t) be the third derivative of -t**5/300 - 93*t**4/20 + 561*t**3/10 - 52*t**2 + 68. What is l in d(l) = 0?
-561, 3
Let h(v) = -133*v**3 - 20027*v**2 + 9980*v - 1256. Let w(k) = 332*k**3 + 50068*k**2 - 24956*k + 3140. Let r(z) = -12*h(z) - 5*w(z). Let r(t) = 0. What is t?
-157, 1/4
Let p(v) = v**2 - 124*v - 199. Let b(z) = z**2 - 120*z - 213. Let n(i) = 7*b(i) - 6*p(i). Let n(j) = 0. What is j?
-3, 99
Solve -4*j**3 + 43426*j**2 + 8*j**3 - 43358*j**2 = 0 for j.
-17, 0
Let g(o) be the third derivative of -o**7/630 + o**6/45 - 5*o**4/12 + o**3/2 - 48*o**2. Let v(i) be the second derivative of g(i). What is f in v(f) = 0?
0, 4
Let -14/15*r**4 + 0 + 6/5*r**5 + 0*r - 8/3*r**3 - 8/15*r**2 = 0. What is r?
-1, -2/9, 0, 2
Let t = 380 + -372. Let j be (-28)/t + 7 + -2. Factor -j*d + 3*d**2 + 0.
3*d*(2*d - 1)/2
Solve 0 - 12*k**2 + 9/2*k**3 + 3*k**4 + 6*k - 3/2*k**5 = 0 for k.
-2, 0, 1, 2
Determine g, given that -38/7*g**2 - 36/7*g - 2/7*g**3 + 0 = 0.
-18, -1, 0
Let 59*j**4 + 765*j - 2109*j - 96 - 1854*j**2 - 681*j**3 - 134*j**4 = 0. What is j?
-4, -1, -2/25
Let y be -8 + 5 - 9 - (-13488)/204. Factor -y*a**2 - 2/17*a**5 - 1152/17 - 36/17*a**4 - 96*a - 258/17*a**3.
-2*(a + 3)**2*(a + 4)**3/17
Let o(i) be the second derivative of 0*i**3 + 0 - 1/6*i**4 + 1/30*i**5 + 8*i**2 - 24*i. Let b(h) be the first derivative of o(h). Factor b(d).
2*d*(d - 2)
Let v = 4417 - 4411. Let m(g) be the third derivative of 0 - 1/168*g**8 + 0*g + 1/105*g**7 + 0*g**v + 0*g**4 - 14*g**2 + 0*g**5 + 0*g**3. Factor m(s).
-2*s**4*(s - 1)
Let a(i) be the first derivative of 80*i + 16*i**3 - 1/5*i**5 - i**4 + 34 - 56*i**2. Let a(l) = 0. What is l?
-10, 2
Let w(j) = j**3 - 2*j**2 + 2*j. Let c be w(2). Suppose -9*r + 180 = r. Find t, given that 0*t**3 + 17*t**2 - 3*t**3 + t**3 - t**c - r*t**2 = 0.
-1, 0
Suppose 18 = 3*j - 3*q, 0*j - 9 = 2*j + 5*q. Let t(s) be the first derivative of -8*s + 34*s**2 - 27*s**3 + 27 + 23*s**j - 16*s**3. Factor t(u).
-4*(u - 1)*(15*u - 2)
Let v(c) = -50*c**3 - 1444*c**2 + 1784*c - 536. Let i(q) = 250*q**3 + 7222*q**2 - 8921*q + 2678. Let z(m) = -2*i(m) - 11*v(m). Find n, given that z(n) = 0.
-30, 3/5
Determine d, given that 0 - 2/3*d**5 - 130/3*d**3 + 32/3*d**4 + 100/3*d**2 + 0*d = 0.
0, 1, 5, 10
Let 6*v**5 - 80/9*v**3 + 0 - 424/9*v**2 + 62/3*v**4 + 32/3*v = 0. Calculate v.
-3, -2, 0, 2/9, 4/3
Suppose 23*i - 138 - 230 = 0. Let -i*v**3 - 34*v**2 + 41*v**2 + 12 + 21*v**2 + 56*v = 0. What is v?
-1, -1/4, 3
Let q(i) = 296*i**3 - 1543*i**2 + 1256*i + 5. Let d(b) = -2*b**3 - 25*b**2 - 1. Let m(z) = 22*d(z) - 2*q(z). Factor m(v).
-4*(v - 2)**2*(159*v + 2)
Let s = 151 - 603/4. Suppose -2*n + 12 = -g, 3*g + 6 = -17*n + 13*n. Let -3/4 - 1/4*x**2 + s*x**n - 5/4*x = 0. What is x?
-1, 3
Let n(p) be the second derivative of -79/18*p**3 + 13/2*p**2 + 41/36*p**4 - 15 - 1/60*p**5 - p. Solve n(m) = 0 for m.
1, 39
Let i(b) be the second derivative of 1/28*b**5 - 7*b + 0*b**3 + 0*b**2 - 1/42*b**4 + 0 - 1/70*b**6. Factor i(n).
-n**2*(n - 1)*(3*n - 2)/7
Factor 4*q**4 - 207*q - 3599 + 1651*q - 3583 + 7182 - 148*q**3 + 1292*q**2.
4*q*(q - 19)**2*(q + 1)
Let j be ((-3)/(-2))/(-1 - 80/(-128)) + 7. Factor -18/11*h + 12/11*h**j + 0 + 30/11*h**2.
6*h*(h + 3)*(2*h - 1)/11
Solve 2*x**5 + 20936/3*x**3 + 262144/3 + 92416*x**2 + 602/3*x**4 + 876544/3*x = 0.
-32, -4, -1/3
Factor -376*k**3 - 13077281*k + 13078817*k - 48*k**4 - 832*k**2 + 1509 - 2*k**5 + 2587.
-2*(k - 2)*(k + 2)*(k + 8)**3
Let y = 128834/9 + -14312. Let 140/9*c + 16/3 + 10/9*c**4 - 56/9*c**3 + y*c**2 = 0. What is c?
-1, -2/5, 3, 4
Let o(t) be the second derivative of 2*t**7/189 - 68*t**6/135 + 379*t**5/45 - 182*t**4/3 + 120*t**3 + 816*t**2 - 3317*t + 1. Let o(w) = 0. Calculate w.
-1, 6, 17
Let 70*k - 87 + 188*k**3 - 34*k - 198*k - 5*k**4 - 61 - 278*k - 99*k**2 = 0. What is k?
-1, -2/5, 2, 37
Let l(y) be the second derivative of y**6/15 - 2*y**5 + 31*y**4/2 - 130*y**3/3 + 56*y**2 - 800*y. Factor l(w).
2*(w - 14)*(w - 4)*(w - 1)**2
Let h(l) be the first derivative of -94*l + 76*l**2 - 16*l**3 - 60 + 148 - 4*l**3 - 2*l + l**4. Find d, given that h(d) = 0.
1, 2, 12
Let g = -2063/3 - -688. Suppose 0 - 7*a - g*a**2 = 0. Calculate a.
-21, 0
Suppose 41*n + 15 + 313 = 0. Let m be 6 - (20/(-5) - n). Suppose -3/2*t - 3/2*t**m + 0 = 0. What is t?
-1, 0
Suppose 147*o + 2 + 10 - 12 = 0. Suppose 2*h = -2*h. Find k such that 9/2*k**4 - 9/2*k**3 + o*k + 3/2*k**2 - 3/2*k**5 + h = 0.
0, 1
Let v(m) be the first derivative of 5*m**4/4 + 1460*m**3 + 639480*m**2 + 124485440*m - 160. Determine z, given that v(z) = 0.
-292
Let n(a) be the third derivative of -a**5/90 + 187*a**4/54 - 248*a**3/27 + 409*a**2. Determine h, given that n(h) = 0.
2/3, 124
Let l(f) be the first derivative of f**4/4 - 76*f**3/3 + 722*f**2 - 3155. Find v such that l(v) = 0.
0, 38
Let z(v) = -v - 34. Let y be z(-38). Factor -61 - 37 + 40 - 26 - y*o**2 + 88*o.
-4*(o - 21)*(o - 1)
Find o such that -101/3*o**3 + 64/3*o + 10*o**4 + 4 + 47/3*o**2 = 0.
-1/3, -3/10, 2
Let y(n) = -n**2 + 2*n - 20. Let h(q) = -51*q**2 + 1237*q - 390. Let g(f) = -h(f) + 6*y(f). Factor g(r).
5*(r - 27)*(9*r - 2)
Let b be ((-1280)/225 - -9) + (-26)/234. Solve -16/5*j + b + 4/5*j**2 = 0.
2
Let s = 14930/13069 + 6/13069. Find o such that -16/7 + 36/7*o**2 - s*o**4 - 