- 1/16*a**4. Factor d(w).
-(w - 3)*(w - 1)*(w + 3)/4
Solve -32/5*f**2 + 1/5*f**3 + 66/5 - 7*f = 0.
-2, 1, 33
Let n(i) = -935*i**2 - 2*i + 9. Let j be n(3). Let v = 92600/11 + j. Find z, given that 0 - 14/11*z**4 + v*z**2 + 16/11*z + 38/11*z**3 = 0.
-1, -2/7, 0, 4
Suppose 2*a = 4*u + 8, 5*a + 0*u - 5 = -5*u. Factor 3*y**2 - 14*y - 5*y - 13*y - 2*y**2 + 3*y**a + 48.
4*(y - 6)*(y - 2)
Let j = 6232 + -18676/3. Determine b, given that 20/3*b**4 - 20/3*b**2 - 5*b**3 + j*b - 5/3*b**5 + 0 = 0.
-1, 0, 1, 2
Let h(k) = -2*k**2 + k + 5. Let p be h(0). Suppose -p*o = -324 + 14. What is x in 5*x**3 + o - 62 + 5*x**2 = 0?
-1, 0
Let c(p) be the third derivative of -11*p**5/270 + 13*p**4/36 - 2*p**3/3 - 2*p**2 + 3*p - 4. Suppose c(j) = 0. What is j?
6/11, 3
Let d(j) be the first derivative of -841/5*j + 7 - 1/15*j**3 - 29/5*j**2. Factor d(x).
-(x + 29)**2/5
Let n = 1237 + -1198. Suppose -n*j = 4*b - 34*j, 7*j - 3*j = 0. Factor 4/7*g**2 + b*g + 0.
4*g**2/7
Let q be (-2874)/(-18) + 8*(-3)/(-18). Let o = -4013/25 + q. Factor o - 8/5*r**2 - 14/25*r.
-2*(4*r + 3)*(5*r - 2)/25
Let c = -409199/15 - -27280. Let f(o) be the first derivative of 1/4*o**4 + 0*o + 28 + c*o**5 + 2/9*o**3 + 0*o**2. Determine l so that f(l) = 0.
-2, -1, 0
Let b(m) be the third derivative of m**6/360 + m**5/90 - m**4/72 - m**3/9 - 3*m**2 - 216. Solve b(c) = 0 for c.
-2, -1, 1
Let t be 2 + -8 + (-12656)/(-48). Let k = t - 257. Find s, given that -8/3 - 8/3*s - k*s**2 = 0.
-2
Let l(t) be the first derivative of -8*t**5/65 - 4*t**4/13 + 2*t**3/13 + 7*t**2/13 + 4*t/13 - 4816. What is z in l(z) = 0?
-2, -1/2, 1
Let r(s) = -63*s**2 - 50*s + 27. Let c(a) = 62*a**2 + 60*a - 28. Let q(z) = 5*c(z) + 4*r(z). Factor q(d).
2*(d + 2)*(29*d - 8)
Suppose -i + 3 - 6 = 0. Let f be (-1)/(i/45*3). Factor 8*n + n + f*n**3 - 10*n**2 - 9*n.
5*n**2*(n - 2)
Let -5758/3*o + 2878/3 + 2882/3*o**2 - 2/3*o**3 = 0. What is o?
1, 1439
Let b(p) = -2*p**3 - 13*p**2 + 10*p + 15. Let o be b(-7). Let y(q) = -3*q**2 - 16*q + 14. Let s be y(o). Factor 0 + 2/7*t - 2/7*t**s.
-2*t*(t - 1)/7
Let j(u) be the first derivative of -35/2*u**2 + 25/3*u**3 + 15*u - 5/4*u**4 + 7. Factor j(i).
-5*(i - 3)*(i - 1)**2
Suppose 516*t - 511*t - 35*t**2 + 100 + 30*t**2 = 0. Calculate t.
-4, 5
Let s be (-159)/(-212) - 25234/47880. Let f = s + -1/1330. Suppose 4/9*u**2 - 2/9*u + 0 - f*u**3 = 0. Calculate u.
0, 1
Let z be 84/(-11)*15/(-282) - (-46)/(-1081). Factor z*d - 2/11*d**4 + 0 - 10/11*d**2 + 8/11*d**3.
-2*d*(d - 2)*(d - 1)**2/11
Let o(v) be the third derivative of -1 - 1/150*v**6 + 0*v**4 - 1/50*v**5 + 0*v**3 - 15*v**2 + 0*v. Solve o(z) = 0.
-3/2, 0
Let y(u) = 2*u**2 - 12*u - 8. Let x be y(9). Find s such that 2 - 8*s + x + 93 - 12*s + 19 - 5*s**2 = 0.
-8, 4
Let j(w) be the third derivative of 1/24*w**4 + 3/20*w**5 - 3/2*w**3 - 1/120*w**6 + 81*w + 0 + 2*w**2. Solve j(d) = 0 for d.
-1, 1, 9
Let t be 28675/(-11470)*(-2 - (-38)/20). Solve -17/2*i - 289/4 - t*i**2 = 0 for i.
-17
Suppose 11*u + 36 + 30 = 0. Let y be ((-3)/(-9) - 1)*(u - -3). Let 0 - 1/3*j**4 - j**3 + 5/3*j**y - 2/3*j + 1/3*j**5 = 0. What is j?
-2, 0, 1
Let c(s) = 16*s**4 + 48*s**3 + s**2 - 5*s. Let v(n) = -n**4 - n**3 - n**2 + n. Let f(m) = -c(m) - 5*v(m). Suppose f(h) = 0. Calculate h.
-4, 0, 1/11
Let n(b) be the third derivative of 10/27*b**3 - 1/270*b**5 - 33 - 2*b**2 + 0*b + 1/36*b**4. Factor n(r).
-2*(r - 5)*(r + 2)/9
Let s be 3225/375 - -4*(-16)/8. Find r such that 6/5*r - s*r**2 - 3/5 = 0.
1
Let q = -12 + 34. Let u = -19 + q. Factor -53*b**2 + 45*b**2 - 21*b**3 + 36*b**4 - 7*b**u.
4*b**2*(b - 1)*(9*b + 2)
Let m(v) = -6*v**4 - 304*v**3 + 305*v**2 + 326*v - 299. Let i(s) = -s**4 - 61*s**3 + 61*s**2 + 65*s - 60. Let p(w) = -33*i(w) + 6*m(w). Factor p(c).
-3*(c - 62)*(c - 1)**2*(c + 1)
Let u be -6 - -14 - (-629)/111. Let p be (4 - (-21)/(-6))*12 + -2. Determine j, given that 0 - 1/3*j**2 - 2/3*j + u*j**3 - 20/3*j**p = 0.
-1/5, 0, 1/4, 2
What is y in -496/5*y - 40 + 98/5*y**4 + 106/5*y**3 - 58*y**2 - 2/5*y**5 = 0?
-1, 2, 50
Let m(n) be the second derivative of 67/2*n**3 + 13/4*n**4 + 15*n**2 - n + 10. Factor m(q).
3*(q + 5)*(13*q + 2)
Let p be 72/(-108)*(2 - 24/9). Let z(v) be the first derivative of -2/27*v**3 - 1/3*v**2 - p*v + 22. Factor z(h).
-2*(h + 1)*(h + 2)/9
Let n = 364 + -359. Suppose d = -5*i + 8, -n*i + 3*d = -18 + 2. Suppose 4/3 - 2/3*t**i - 2/3*t = 0. Calculate t.
-2, 1
Let c(z) be the first derivative of -5/4*z**4 + 76 + 35*z - 35/3*z**3 + 5/2*z**2. Find r such that c(r) = 0.
-7, -1, 1
Let u = 4699998/5 - 939999. Factor 28/5*y + 12/5 - 7/5*y**3 - u*y**2.
-(y - 2)*(y + 2)*(7*y + 3)/5
Let w(v) be the second derivative of -v**6/25 - 27*v**5/100 + 3*v**4/10 + v**3/2 - 22*v + 277. What is b in w(b) = 0?
-5, -1/2, 0, 1
Let u be 4/24 + 14963/130 + 14 + (-3)/(-9). Suppose -8/5 - u*p**4 + 112/5*p - 554/5*p**2 + 1098/5*p**3 = 0. What is p?
2/9, 1/4, 1
Suppose 5*c - z + 471 = 0, 3*z + 65 + 42 = -c. Let l be ((-6)/(-5))/((-171)/c). Factor 0*w**2 + 0*w - l*w**3 + 2/3*w**4 + 0.
2*w**3*(w - 1)/3
Suppose 1045458/17 - 2892/17*u + 2/17*u**2 = 0. What is u?
723
Let r(o) = -o**2 - o + 2. Let k(h) = -3*h**2 + 108*h + 327. Let f(z) = k(z) - 6*r(z). Factor f(c).
3*(c + 3)*(c + 35)
Let q be 2/9 + 7550/450. Let a(v) be the second derivative of 0 + 3/20*v**5 - 3*v**2 - 1/2*v**3 - q*v + 3/4*v**4 - 1/10*v**6. Solve a(j) = 0.
-1, 1, 2
Suppose -5*h = 3*y - 9*h - 24, -51 = -4*y - h. Factor -9399*f + 9384*f - f**2 + 4*f**2 + y.
3*(f - 4)*(f - 1)
Let k(i) = -i**3 - i**2 - 7*i - 1. Let z(o) = -12*o**3 + 467*o**2 - 92*o - 493. Let l(x) = -52*k(x) + 4*z(x). Determine v so that l(v) = 0.
-480, -1, 1
Let g = 1639/15 - 3103/30. Let f(r) be the second derivative of 0 - g*r**3 - 36*r - 5/12*r**4 - 25*r**2. Solve f(y) = 0 for y.
-5, -2
Let n be ((-1232)/780 + (-66)/429)*-3. Find d, given that -n*d - 5 - 1/5*d**2 = 0.
-25, -1
Let g(l) = -11*l**4 - 78*l**3 + 535*l**2 - 894*l + 490. Let y(a) = -a**4 + 2*a**3 + a + 5. Let s(f) = g(f) - 6*y(f). Factor s(q).
-5*(q - 2)**2*(q - 1)*(q + 23)
Let u(a) = -a**4 + a**3 + a**2. Let m(y) = -4*y**4 - 143*y**3 - 162*y**2 + 152*y - 28. Let x(v) = m(v) + 5*u(v). Factor x(d).
-(d + 2)*(d + 14)*(3*d - 1)**2
Let p be (16/(-8) - 3 - 7/(-1))*1. Let s(k) be the first derivative of 4/3*k - 4/5*k**5 - 33 + 2/9*k**6 + 8/9*k**3 - 2*k**p + 2/3*k**4. Factor s(q).
4*(q - 1)**4*(q + 1)/3
Let r be (-56)/234*1 - 20/(-45). Let v(b) be the second derivative of -1/78*b**4 + 0 - 27*b + r*b**3 + 0*b**2. Solve v(j) = 0 for j.
0, 8
Determine c, given that 34/3*c**4 - 4/9*c**5 + 2/9*c**2 - 6*c + 0 + 18*c**3 = 0.
-1, 0, 1/2, 27
Let u(d) be the first derivative of 5*d**5/12 - 5*d**4/18 - 65*d - 65. Let k(b) be the first derivative of u(b). What is m in k(m) = 0?
0, 2/5
Let g(o) be the second derivative of -o**9/3024 - o**8/1680 + o**7/420 - o**3/3 + 2*o**2 - 120*o + 1. Let l(i) be the second derivative of g(i). Factor l(z).
-z**3*(z - 1)*(z + 2)
Let j(x) be the first derivative of x**6/120 + x**5/20 - 5*x**3/3 - 4*x + 27. Let k(r) be the third derivative of j(r). Factor k(b).
3*b*(b + 2)
Suppose 2*j = -20*j + 110. Suppose -j*f - 16*w + 15*w + 2 = 0, -f + 2*w + 7 = 0. Suppose f - 7/2*p**2 - 5/2*p = 0. Calculate p.
-1, 2/7
Let h = 200043 + -3000643/15. Solve 0 + 0*l + 2/3*l**4 - h*l**5 - 4/15*l**3 - 16/15*l**2 = 0.
-1, 0, 2, 4
Let a(n) = 20*n + 117. Let p be a(-6). Let j be -9 + (-7 - -12) - p*3. Factor -3/5*k**3 + 0 - 2/5*k + 1/5*k**4 - k**2 + 1/5*k**j.
k*(k - 2)*(k + 1)**3/5
Let t(q) be the third derivative of -7*q**8/120 - q**7/25 + 104*q**6/75 + 12*q**5/5 - 76*q**4/15 + 16*q**3/5 - q**2 - 345*q. What is i in t(i) = 0?
-2, 2/7, 3
Suppose 239 + 1 = 116*f + 8. Let t be (-28)/(-7) + (-14)/(-6). Factor t*u**4 + 0 - 2/3*u**3 + 0*u**f + 0*u.
u**3*(19*u - 2)/3
Let v = -26/105 + 796/105. Let x(n) be the second derivative of 1/6*n**4 + 0 + 121*n**2 + v*n**3 + 14*n. Suppose x(h) = 0. What is h?
-11
Let g(j) = 4*j**2 - 7*j - 1. Let t be g(2). Suppose -u - v + 7 = 0, -v + 2 = -2*u + t. Factor 2/7*o + 4/7 - 2/7*o**u.
-2*(o - 2)*(o + 1)/7
Let p = 33 + -31. Factor -905*a + 10*a**4 - 21*a**3 - 13*a**4 + 908*a + 21*a**p + 6*a**5 - 6.
3*(a - 1)**3*(a + 2)*(2*a + 1)
Let x = 7273 - 7273. Let s(b) be the second derivative of 2/15*b**6 + 0 - 4/3*b**3 + x*b**2 + 5/3*b**4 - 24*b - 4/5*b**5. Determine w, given that s(w) = 