hat is i?
1, 20
Suppose 330*a - 332*a - 5*h - 35 = 0, 2*a - 21 = 3*h. Let r(u) be the second derivative of a + 1/48*u**4 - 1/4*u**2 + u - 1/24*u**3. Factor r(p).
(p - 2)*(p + 1)/4
Let z(i) be the third derivative of -i**8/13440 - i**7/5040 + 139*i**4/24 + 2*i**2 + 12*i. Let r(w) be the second derivative of z(w). Solve r(m) = 0.
-1, 0
Let b = -266 + 459. Factor -88*c**3 - b*c**2 - 8 - 8 - 123*c**3 + 99*c**5 - 124*c**5 - 115*c**4 - 88*c.
-(c + 1)**3*(5*c + 4)**2
Let n(y) = -6*y**3 - 18*y**2 + 49*y - 25. Suppose 2*q - 14 = 99*h - 94*h, h - 2 = -2*q. Let g(o) = -o**3 + 2*o - 1. Let u(v) = h*n(v) + 10*g(v). Factor u(a).
2*(a - 1)**2*(a + 20)
Let i(f) = 6*f - 86. Let v be i(15). Find q, given that 20*q + 56 + q**2 + v*q**2 - 14*q**2 + 5*q**2 = 0.
-2, 7
Let g be (-3)/30 + (-2220)/(-200). Let j be 36/297*g - (-4)/(-6). Factor -j*r + 2/3*r**3 + 1/3 + 0*r**2 - 1/3*r**4.
-(r - 1)**3*(r + 1)/3
Suppose -9*w + 40*w = -62. Let q be w/6*-12*(-15)/(-28). Factor 0*b - 6/7*b**2 - q*b**3 - 9/7*b**4 + 0.
-3*b**2*(b + 1)*(3*b + 2)/7
Let d = 91 + -89. Let x be (2/d - -4) + 2 + -4. Determine y, given that -6*y**3 + 3/2*y**4 - x*y + 15/2*y**2 + 0 = 0.
0, 1, 2
Let i be 168/1568*49/42. Solve -i*s**4 - 13/8*s**2 - 15/2*s - 9/2 + 5/4*s**3 = 0 for s.
-1, 6
Let w(q) be the second derivative of -31/9*q**3 + 961/6*q**2 - 45*q + 1/36*q**4 + 0. Factor w(j).
(j - 31)**2/3
Let w be 2288/52 - (3 + 0). Suppose d = 0, -y - 4*d - w + 46 = 0. Factor 0 - 1/3*b**2 + 1/3*b**4 + 0*b - 1/3*b**y + 1/3*b**3.
-b**2*(b - 1)**2*(b + 1)/3
Let u(m) be the first derivative of -m**8/168 + 2*m**7/105 - m**5/15 + m**4/12 + m**2/2 - 21*m - 27. Let t(k) be the second derivative of u(k). Factor t(o).
-2*o*(o - 1)**3*(o + 1)
Let z be (2/(-6) + 1)/((-8385)/585). Let g = 49/129 + z. Determine h, given that 5/6*h - 2/3*h**3 - 1/6*h**5 - g*h**2 - 1/3 + 2/3*h**4 = 0.
-1, 1, 2
Let p(h) = -6*h**2 + 2*h + 2. Let w(x) = -19*x**2 + 5*x + 7. Let v = 95 - 97. Let t(r) = v*w(r) + 7*p(r). Factor t(k).
-4*k*(k - 1)
Let z(o) be the second derivative of -o**4/54 + 79*o**3/27 - 26*o**2/3 + 908*o. Factor z(x).
-2*(x - 78)*(x - 1)/9
Suppose -5798*l**3 + 2*l**4 + 153450*l**2 + 209028*l + 102336*l + 4686*l**3 = 0. Calculate l.
-2, 0, 279
Let t be 78/(-65) + (-51)/(-5) + -5. Factor -14/13*w - 4/13*w**t + 4/13 - 4/13*w**3 + 2/13*w**5 + 16/13*w**2.
2*(w - 1)**4*(w + 2)/13
Let d(n) be the third derivative of 45/4*n**4 - 69*n**2 + n + 0 - 21/10*n**5 - 36*n**3 - 1/105*n**7 + 13/60*n**6. Factor d(l).
-2*(l - 4)*(l - 3)**3
Suppose -478*o + 1490 = -422. Factor -4/5*n**3 - o*n - 31/5*n**2 + 7/5.
-(n + 1)*(n + 7)*(4*n - 1)/5
Let q(i) be the second derivative of i**4/4 + 36*i**3 + 7*i - 38. Let q(r) = 0. What is r?
-72, 0
Suppose -86*p**3 + 8/5*p**4 - 370*p - 348/5 - 388*p**2 = 0. Calculate p.
-3, -1, -1/4, 58
Let 193*j + 9165*j**4 + 275*j - 28*j**3 - 9162*j**4 + 348*j**2 + 91*j**3 = 0. Calculate j.
-13, -6, -2, 0
Let h(u) be the second derivative of -u**7/189 + 8*u**6/135 - u**5/15 - 2*u**4 + 13*u**3 - 36*u**2 - 2*u + 2940. Factor h(r).
-2*(r - 3)**4*(r + 4)/9
Let v(j) be the second derivative of j**4/4 + 6*j**3 + 30*j**2 + 2*j + 507. Factor v(q).
3*(q + 2)*(q + 10)
Let z(c) be the second derivative of 0*c**2 + 0*c**3 + 1/60*c**5 + 0*c**4 - 1/28*c**7 - 74*c + 0 - 7/180*c**6. Factor z(i).
-i**3*(i + 1)*(9*i - 2)/6
Let v(n) = -6*n**3 - 345*n**2 - 306*n. Let g(z) = -z**3 + z**2 + 13*z. Let l(w) = 3*g(w) - v(w). Factor l(s).
3*s*(s + 1)*(s + 115)
Let k(g) be the first derivative of -8/7*g**2 + 0*g + 232 - 2/3*g**3 + 1/14*g**4. Factor k(v).
2*v*(v - 8)*(v + 1)/7
Let l be 1749/99 - 936/(-117). Solve -2026/3*j**2 + 19450/3*j**3 + l*j + 15625/3*j**5 - 33125/3*j**4 - 1/3 = 0 for j.
1/25, 1
Let f be -7 - (-400)/56 - 19/1064. Let m(g) be the first derivative of f*g**4 - 5/4*g**2 - 3/2*g - 13 - 1/6*g**3. Factor m(o).
(o - 3)*(o + 1)**2/2
Let v(t) = 3*t**2 - 1262*t. Let z(u) = -u**2 - 12*u. Let d(b) = -3*v(b) - 12*z(b). Factor d(j).
3*j*(j + 1310)
Let w = -76221/11 + 76227/11. Suppose 18/11*a + w*a**2 - 60/11 = 0. Calculate a.
-5, 2
Suppose -1 = -h + 1. Determine j so that 13*j**4 + 2*j**4 - 34*j**5 + 3*j**h + 29*j**5 + 2*j**2 - 15*j**3 = 0.
0, 1
Suppose 44/7 + 10/7*r**4 - 54/7*r**2 - 106/7*r**3 + 106/7*r = 0. What is r?
-1, -2/5, 1, 11
Let w(k) be the first derivative of -k**6/48 - 17*k**5/8 - 2067*k**4/32 - 3549*k**3/8 - 15540. Let w(x) = 0. Calculate x.
-39, -7, 0
Factor 20 + 14*u**2 + 624 + 313 + 954*u - 17*u**2.
-3*(u - 319)*(u + 1)
Let m(p) = -7*p**5 + 52*p**4 + 511*p**3 + 4*p**2 - 4. Let h(y) = -2*y**5 + y**4 + 4*y**3 + y**2 - 1. Let x(o) = -4*h(o) + m(o). Factor x(f).
f**3*(f + 15)*(f + 33)
Let m be (-12)/30*(-2)/4. Suppose 3*g - 36 = 4*g - 8*j, -2*g - 17 = -5*j. Find h, given that m*h**g + 0 + 0*h + 0*h**2 + 0*h**3 = 0.
0
Let d(l) be the third derivative of -5*l**8/336 + 2*l**7/63 + l**6/36 - l**5/9 + 5*l**4/72 - 6133*l**2. Suppose d(p) = 0. Calculate p.
-1, 0, 1/3, 1
Find n, given that -16*n - 4015*n**2 + 4016*n**2 - 21*n - 225*n = 0.
0, 262
Suppose 7*f = -826 - 378. Let l = f + 470. Solve -295*o - l*o + 590*o + 3*o**2 = 0 for o.
0, 1
Let t(b) be the third derivative of -1/210*b**5 - 1/12*b**4 + 0*b - 2/7*b**3 + 0 + 11*b**2. Find x, given that t(x) = 0.
-6, -1
Let z(w) = -2*w**2 - 3*w + 7. Suppose -5*n - 9 = -6*k + 5*k, 12 = -4*n. Let h(i) = -2*i**2 - 2*i + 6. Let l(j) = k*z(j) + 7*h(j). Let l(t) = 0. Calculate t.
0, 2
Let -51*y**4 + 576*y**2 - 18*y**4 + 71*y**4 + 512*y + 66*y**3 = 0. Calculate y.
-16, -1, 0
What is o in -11*o**3 - 252 - 3*o**2 + 312*o - 8*o**3 + 22*o**3 - 4*o**2 - 56*o**2 = 0?
1, 6, 14
Let x(v) be the third derivative of -v**8/84 + 8*v**7/105 + 3*v**6 + 108*v**5/5 + 117*v**4/2 - 2*v**2 - 6*v. Solve x(f) = 0 for f.
-3, 0, 13
Factor 32*l - 128/5 - 34/5*l**2 + 2/5*l**3.
2*(l - 8)**2*(l - 1)/5
Suppose 222 = -2*q - 4*q. Let l = q - -61. Factor 18*z**2 + 28*z - 39*z**2 + l + 25*z**2.
4*(z + 1)*(z + 6)
Let c(z) = 9*z**2 - 125*z - 55. Let g(b) = -5*b**2 + 70*b + 28. Let o(m) = -4*c(m) - 7*g(m). Factor o(w).
-(w - 12)*(w + 2)
Let q = 45783/3397 - -153/6794. Let q - 14*p + 1/2*p**2 = 0. Calculate p.
1, 27
Suppose -414*s - 21 = -417*s. Factor -28*t**2 - 184*t + t**2 - 36 + s*t**2.
-4*(t + 9)*(5*t + 1)
Let t(z) = 11*z**2 - 602*z - 90613. Let u(j) = -19*j**2 + 1204*j + 181223. Let p(b) = -14*t(b) - 8*u(b). Let p(y) = 0. Calculate y.
-301
Suppose 0 = -3388*d + 3396*d - 16. Let s be 6/(-165)*(0 - 25). Factor 0 - s*i**d - 8/11*i**3 - 4/11*i - 2/11*i**4.
-2*i*(i + 1)**2*(i + 2)/11
Let k(r) be the third derivative of r**5/12 - 455*r**4/12 + 41405*r**3/6 - 1275*r**2. Factor k(y).
5*(y - 91)**2
Factor -47*v**2 + 13/2*v**3 + 70*v - 1/4*v**4 + 0.
-v*(v - 14)*(v - 10)*(v - 2)/4
Let d be (10/(-24))/(52 - (-50220)/(-960)). Let c be 2 + (-8)/(-18)*-3. Suppose -2/3 - c*w**2 - d*w = 0. Calculate w.
-1
Suppose -2*h + d = -2*d - 13, 25 = -5*d. Let t(p) = -3*p**3 - 2*p - 1. Let c be t(h). Factor 14*a**4 - 28*a**4 + 10*a**c + 4*a**2.
-4*a**2*(a - 1)*(a + 1)
Suppose -35 + 11 = 8*c. Let r(a) = a**4 + a**3 - a**2 + 2*a. Let w(p) = -17*p**4 - 45*p**3 + 41*p**2 + 30*p. Let s(d) = c*r(d) + w(d). Factor s(h).
-4*h*(h - 1)*(h + 3)*(5*h + 2)
Let k(c) = 11*c + 171. Let r(i) = 3*i + 43. Let q(l) = -2*k(l) + 9*r(l). Let x be q(-9). Let 1/2*d**2 + 5/4*d**4 - 7/4*d**3 + x*d + 0 = 0. Calculate d.
0, 2/5, 1
Suppose 3*f + 853 = 5*g, f + 94 + 195 = -3*g. Let o = -283 - f. Determine n, given that 0*n**2 - 2/3*n + 2/3*n**o + 0 = 0.
-1, 0, 1
Let z(s) be the third derivative of s**8/84 + 8*s**7/35 + 7*s**6/6 + 4*s**5/3 - 6*s**4 - 64*s**3/3 - 41*s**2 + 3*s. Determine g so that z(g) = 0.
-8, -2, -1, 1
Suppose 14*b - 18*b + 660 = -3*o, b - 165 = 2*o. Suppose 0 = -2*z - z + 12. Factor -35*h**z - 165 + b - 75*h**3 - 32*h**2 - 5*h**5 - 13*h**2.
-5*h**2*(h + 1)*(h + 3)**2
Let t(k) be the third derivative of k**5/45 + 35*k**4/2 - 1160*k**2. Solve t(d) = 0.
-315, 0
Let r be (-12)/((-429)/66 + (-8)/(-16)). Solve 3/2*c**r + 0 + 12*c = 0 for c.
-8, 0
Let n be ((-8)/4 - -4)/((-4)/(-6)). Let u be ((-11)/(-44) + 5/12)*n. Find l, given that -5*l - 5*l + 6*l + l + u + l**2 = 0.
1, 2
What is x in 10*x**2 - 27*x - 2*x**3 - 6 + 41 + x**3 - 17 = 0?
1, 3, 6
Let m(n) be the first derivative of 3*n**5/5 - 60*n**4 + 1338*n**3 + 15996*n**2 + 27735*n - 147. Let m(d) = 0. Calculate d.
-5, -1, 43
L