*5 + 130*v**2 + 0 - 225/32*v**4 - 1/160*v**6 + 0*v + 0*v**3. Let d(i) = 0. What is i?
-15, 0
Let x be (0 - -2)*(3 + -3 - -1). Determine a, given that -318*a**2 + a + 327*a**2 - x*a = 0.
0, 1/9
What is s in -3*s**4 - 1/9*s**5 - 65/9*s**2 + 32/3*s - 95/9*s**3 + 92/9 = 0?
-23, -2, -1, 1
Let t(l) be the first derivative of 7*l**5/150 - 61*l**4/60 - 6*l**3/5 + 107*l**2 - 104. Let x(r) be the second derivative of t(r). What is g in x(g) = 0?
-2/7, 9
Let i(u) be the first derivative of -u**4/10 - 734*u**3/15 - 6771*u**2 - 66978*u/5 + 106. Solve i(r) = 0 for r.
-183, -1
Let i(o) be the first derivative of -24*o**2 - 1/14*o**4 - 288/7*o - 22 - 50/21*o**3. Factor i(n).
-2*(n + 1)*(n + 12)**2/7
Let x(s) be the first derivative of s**5/120 + s**4/24 - s**3/4 + 95*s**2/2 - 11. Let l(a) be the second derivative of x(a). Find u, given that l(u) = 0.
-3, 1
Suppose -766*k**4 + 1539*k**4 - 757*k**4 + 4*k**5 - 104*k**3 - 11 - 124*k + 43 + 176*k**2 = 0. Calculate k.
-8, 1
Let r = 45585 + -136753/3. Suppose r*v**3 + 0*v**2 + 0 + 0*v - 2/3*v**4 = 0. What is v?
0, 1
Let k(x) = -10 - 10 - 8*x + 2*x**2 + 28 + 4*x**3 - 14. Let o(w) = w**2 - 1. Let d(q) = -k(q) + 6*o(q). Determine b, given that d(b) = 0.
-1, 0, 2
Let y be (-1)/((-14)/8) + 69524/91091*(-11)/(-2). Factor -64/13*r - y - 2/13*r**2.
-2*(r + 1)*(r + 31)/13
Suppose c - 123 = 11*w - 35, -24 = 5*c + 3*w. Let a(m) be the second derivative of 0*m**2 + c - 5/24*m**4 + 5/12*m**3 + 22*m. Factor a(v).
-5*v*(v - 1)/2
Let a(g) be the first derivative of 16/3*g - 59 - 2/9*g**3 + 2/3*g**2. Factor a(x).
-2*(x - 4)*(x + 2)/3
Let a = 12451/235 - 2321/47. Find z, given that 52/5 + a*z**2 + 238/5*z = 0.
-13, -2/9
Let u(a) = a**3 + 10*a**2 - 2*a - 18. Let h be u(-9). Let p = -79 + h. Suppose 2*c**p + 20*c - 4 - 2 - c**2 - 7*c**2 = 0. Calculate c.
1/3, 3
Let l(k) = k**3 + 31*k**2 - 203*k - 3432. Let i be l(-34). Let a(v) be the first derivative of 8*v + 24*v**i - 45 - 26/3*v**3. Factor a(j).
-2*(j - 2)*(13*j + 2)
Let m(f) be the third derivative of -19*f**6/40 + 37*f**5/10 - 17*f**4/2 - 4*f**3 + 594*f**2. Factor m(p).
-3*(p - 2)**2*(19*p + 2)
Let d be 64/26 - (47 - (-16335)/(-351)). Factor 9*s + 1/2*s**3 + 0 - 19/2*s**d.
s*(s - 18)*(s - 1)/2
Let t = 205 - 271. Let v be -1 + -3 - -46*(-6)/t. Find p, given that -v*p**2 - 2/11*p + 4/11 = 0.
-2, 1
Let w(a) = -236*a - 3537. Let z be w(-15). Find d, given that 2/9*d**4 - 8/9*d**z + 8/3*d + 2 - 4/9*d**2 = 0.
-1, 3
Suppose 2530 + 2050 = 20*k. Let 197*y - 256 - k*y - 10*y**2 + 9*y**2 = 0. What is y?
-16
Let h(f) be the second derivative of -f**5/12 + 5*f**4/8 + 10*f**3/3 - f**2 + 93*f. Let k(o) be the first derivative of h(o). What is q in k(q) = 0?
-1, 4
Suppose -4*k = -f + 9, 54*f - 52*f - 2*k - 12 = 0. Let -525*n - 26342*n**4 + 26250*n**4 + 2208*n**2 - 627*n - 2*n**f - 962*n**3 = 0. Calculate n.
-24, 0, 1
Let t(f) be the first derivative of -f**6/2700 - f**5/900 + f**4/30 + 31*f**3/3 - 34. Let z(o) be the third derivative of t(o). Factor z(k).
-2*(k - 2)*(k + 3)/15
Suppose 0 = 35*p - 20*p - 1350. Factor 4*d**2 + 45*d - 4*d**2 + p + 4*d**2 + d**2.
5*(d + 3)*(d + 6)
Let v(z) be the third derivative of -10/3*z**3 + 0*z + 0 - 1/2*z**4 - 129*z**2 + 2/15*z**5. Factor v(q).
4*(q + 1)*(2*q - 5)
Let o be (-141300)/(-2355) - 166/3. Factor 8 + 1/3*l**2 - o*l.
(l - 12)*(l - 2)/3
Determine i so that 494 - 217*i**4 - 302400*i + 16851 + 134530 - 9*i**5 - 616956*i**3 - 5204*i**4 - 1065822*i**2 - 3*i**5 = 0.
-225, -1, 1/4
Let -39*x**4 - 202*x + 9*x**4 - 15*x**5 + 6*x**2 + 151*x + 48*x**3 + 24 + 18*x**5 = 0. What is x?
-1, 1, 8
Let o be -2*6*(2 + -6)/16. Suppose -o*i - 153 = -2*v, -i - 26 = -2*v + 129. What is q in 24*q**3 - 2*q**4 - v*q**2 + 6*q**2 + 21*q - 21*q = 0?
0, 6
Let i(x) be the first derivative of 4*x**3/27 - 15656*x**2/9 + 61277584*x/9 + 11552. Factor i(o).
4*(o - 3914)**2/9
Factor -311*r**2 + 9972*r - 11444*r - 12*r**3 - 105*r**2.
-4*r*(r + 4)*(3*r + 92)
Let l(u) be the first derivative of -1/20*u**5 + 24*u + 0*u**2 + 0*u**3 + 23 + 0*u**4. Let y(v) be the first derivative of l(v). Find x such that y(x) = 0.
0
Suppose -1004 - 541 = -388*w - 199*w + 216. Let 8/5 + 0*y - 2/5*y**w - 6/5*y**2 = 0. Calculate y.
-2, 1
Let w be 1/5 - 121/((-4840)/42). What is d in -3/8*d + w*d**2 + 0 = 0?
0, 3/10
Let l be 8834/(-539) - -17 - 9/21. Let r(o) be the first derivative of -10/11*o + 1/22*o**4 + 30 - 9/11*o**2 - l*o**3. Factor r(i).
2*(i - 5)*(i + 1)**2/11
Let p(g) = -5*g - 94. Let j be p(-19). Let z be j + 5 + -12 + 8. Solve -5/3 + 10*u**z + 25/3*u = 0 for u.
-1, 1/6
Find v such that -55/4*v + 363/4 - 19/4*v**2 - 1/4*v**3 = 0.
-11, 3
What is y in 352*y - 191*y**2 + 93*y**2 + 94*y**2 - 61 - 287 = 0?
1, 87
Let k(d) be the third derivative of d**6/80 + 53*d**5/40 + 51*d**4/8 - 2002*d**2. Find j such that k(j) = 0.
-51, -2, 0
Let g(q) be the first derivative of q**5 - 65*q**4/4 + 85*q**3 - 315*q**2/2 + 948. Factor g(z).
5*z*(z - 7)*(z - 3)**2
Let t be (-4)/3*27/(-15). Suppose -2*o = -25*w + 24*w + 4, 3*w = o + 12. Solve -t*h**3 + o + 0*h - 26/5*h**4 + 2*h**5 + 0*h**2 = 0.
-2/5, 0, 3
Factor 423*b**2 + 3*b**3 + 173*b + 76*b - 576*b**2 + 69*b - 6*b**3.
-3*b*(b - 2)*(b + 53)
Let x(t) be the second derivative of -1/2*t**3 + 1/24*t**4 - 3 + 7*t + 5/4*t**2. Factor x(m).
(m - 5)*(m - 1)/2
Let i be 67135/650 + -22 + (-3)/(-30). Determine l so that i + 96/13*l**3 + 2/13*l**4 + 1244/13*l**2 + 2208/13*l = 0.
-23, -1
Let f be 5/10 + -1 + (490/(-100) - -6). Let w(r) be the second derivative of 0 + f*r**2 + 0*r**4 - 18*r + 3/100*r**5 - 3/10*r**3. Factor w(g).
3*(g - 1)**2*(g + 2)/5
Let f(b) = -4*b**2 + 296*b - 423. Let r(z) = 2*z**2 - 144*z + 212. Let x(n) = 4*f(n) + 9*r(n). Factor x(m).
2*(m - 54)*(m - 2)
Let n(s) be the second derivative of -s**7/168 - s**6/8 + 17*s**5/40 - s**4/24 - 11*s**3/8 + 17*s**2/8 + s + 304. Suppose n(h) = 0. Calculate h.
-17, -1, 1
Let w be (-30)/(-10) - (-10)/(-56)*14. Factor -m**3 + m**2 - 1/2*m**4 + w*m**5 + 1/2*m - 1/2.
(m - 1)**3*(m + 1)**2/2
Let r(d) be the first derivative of 838*d**3/15 + 2*d**2/5 + 5407. Suppose r(c) = 0. Calculate c.
-2/419, 0
Suppose 0 = 4*u + 5*y - 19, -4*u - 4*y = -8*y - 64. Suppose -29 + u = -9*r. Find h such that 0 - 12/7*h**4 - 2/7*h**5 - 6/7*h - 24/7*h**3 - 20/7*h**r = 0.
-3, -1, 0
Solve 784/15 + 172/15*k**2 + 1288/15*k - 386/15*k**3 - 56/15*k**4 - 2/15*k**5 = 0 for k.
-14, -1, 2
Let o be (-55)/(-33) + (-2)/(-6). Factor 258*s**3 - 12*s**o + 108 + 107*s - 143*s - 254*s**3.
4*(s - 3)**2*(s + 3)
Let v(r) be the first derivative of -2*r**3/3 - 168*r**2 - 664*r - 544. Factor v(n).
-2*(n + 2)*(n + 166)
Determine w so that 128/3*w + 22/3*w**3 + 64/3 + 2/3*w**4 + 28*w**2 = 0.
-4, -2, -1
Suppose -8*a**5 + 245/2*a - 363/2*a**2 - 33/2 - 409/2*a**3 + 108*a**4 = 0. Calculate a.
-1, 1/4, 3, 11
Suppose -2*s - 2*b = -8, s - 9*b = -4*b + 4. Let q(z) be the first derivative of -8/3*z**3 + s*z**2 - 11 + 1/2*z**4 + 0*z. Factor q(c).
2*c*(c - 2)**2
Let v(h) be the second derivative of -3*h**6/20 + 19*h**5/40 + 25*h**4/24 - h**3/4 - 7218*h. Factor v(n).
-n*(n - 3)*(n + 1)*(9*n - 1)/2
Let q(v) = 5*v**2 - 70*v + 432. Let g(f) = 1300*f - 81*f**2 - 1378 - 181*f - 5534. Let m(y) = -2*g(y) - 33*q(y). Factor m(o).
-3*(o - 12)**2
Let k(j) = -4*j**2 - 40*j + 6. Let b(d) = -d**2 - 2*d + 1. Let x = 526 + -527. Let w(v) = x*k(v) + 6*b(v). Factor w(c).
-2*c*(c - 14)
Let t(r) = -4*r**3 - 2*r + 3. Suppose 31*m + 16 = 35*m. Let b(x) = -3*x**3 - x**2 - 2*x + 2. Let k(y) = m*t(y) - 6*b(y). Factor k(f).
2*f*(f + 1)*(f + 2)
Let m = 2/81 - -133/81. Let q = 313159 + -313156. Factor 0*z + 5/3*z**2 + 0 + m*z**4 - 10/3*z**q.
5*z**2*(z - 1)**2/3
Let m be -3 + 106/34 + 2570/(-170). Let u be m/12 + 71/12. Factor -u*f + 2*f**3 - 4/3*f**2 - 4/3.
2*(f - 2)*(f + 1)*(3*f + 1)/3
Determine m, given that -2025*m - 1013 - 16167*m**2 + 7788*m**2 + 7368*m**2 + m**3 = 0.
-1, 1013
Factor -552/7*b**3 - 432/7*b - 720/7*b**2 - 96/7 - 27/7*b**5 - 198/7*b**4.
-3*(b + 2)**3*(3*b + 2)**2/7
Let k be -5*30/(-25) - -1. Factor -81 + 206 - 45*o**2 - 75*o + 2*o**3 - k*o**3.
-5*(o - 1)*(o + 5)**2
Let u(o) = 50*o**3 - 665*o**2 + 199*o - 32. Let m(n) = 700*n**3 - 9310*n**2 + 2785*n - 440. Let y(p) = 4*m(p) - 55*u(p). Factor y(j).
5*j*(j - 13)*(10*j - 3)
Let f(x) be the second derivative of 73*x - 1/120*x**6 + 1/16*x**4 + 1/80*x**5 - 