olve i(x) = 0.
-3
Suppose 0 = o + h - 2, -3*o = -183*h + 181*h - 11. Let m(n) be the first derivative of -1/12*n**3 + 0*n**2 - 1/20*n**5 + 1/8*n**4 - o + 0*n. Factor m(t).
-t**2*(t - 1)**2/4
Let q be (15 + (-2212)/147)*((-66)/(-6) - 38). Factor 3/7*x**2 + 6/7*x - q.
3*(x - 1)*(x + 3)/7
Let 28/9*s**3 - 106/9*s**2 - 8 + 152/9*s - 2/9*s**4 = 0. What is s?
1, 2, 9
Let s = -3076 + 3086. Let t(b) be the second derivative of -1/6*b**6 - 65/12*b**4 + 16*b - 3/2*b**5 - 10*b**2 + 0 - s*b**3. What is p in t(p) = 0?
-2, -1
Suppose 4*l - 5*l = -4. Let d be 10/(-2) - 2 - 156/(-10 - 2). Let 1499*k**4 - 2*k**5 - 1508*k**l + d*k**3 + 5*k**5 = 0. Calculate k.
0, 1, 2
Let a = -3621784/3 - -1207263. Let 80/3*y**2 + 95/3*y**3 - a*y + 0 - 170/3*y**4 = 0. Calculate y.
-1/2, 0, 1/17, 1
Let i(f) = 25012*f + 300146. Let x be i(-12). Factor -17/2*y**x + 3 + 11/2*y.
-(y - 1)*(17*y + 6)/2
Let q(t) be the first derivative of -t**5/15 + 31*t**4/9 - 20*t**3/3 + 118*t - 174. Let z(l) be the first derivative of q(l). Solve z(b) = 0 for b.
0, 1, 30
Let l = 570598 + -570594. What is j in -14/3*j**l - 4/3*j + 0 + 14/3*j**2 + 4/3*j**3 = 0?
-1, 0, 2/7, 1
Let n(p) be the first derivative of 9*p**5/35 + 3*p**4/4 + 3*p**3/7 - 9*p**2/14 - 6*p/7 - 1073. Factor n(x).
3*(x + 1)**3*(3*x - 2)/7
Let m(l) be the third derivative of 13*l**7/560 - 97*l**6/80 + 573*l**5/32 + 225*l**4/32 - 3*l**2 + 284*l. Solve m(q) = 0 for q.
-2/13, 0, 15
Factor -3/2*w**4 + 0*w**3 + 0 + 0*w + 24*w**2.
-3*w**2*(w - 4)*(w + 4)/2
Let l(h) = 62*h + 36*h + 44 - 11*h + 52 + 97*h - 8*h**3 + 62*h**2. Let g(a) = -4*a**3 + 32*a**2 + 92*a + 48. Let o(d) = 9*g(d) - 4*l(d). Factor o(f).
-4*(f - 12)*(f + 1)**2
Let m = 2/357821 + 1789101/715642. Suppose 40 - m*p**2 - 15*p = 0. Calculate p.
-8, 2
Suppose -25*v + 115 = -20*v. Suppose -6*k + v = -7. Factor -4*i + 400 - 2*i + 4*i**2 + k*i**2 - 403.
3*(i - 1)*(3*i + 1)
Let v(g) be the second derivative of -g**5/50 + 137*g**4/15 - 109*g**3/3 + 272*g**2/5 + 5*g - 126. Factor v(r).
-2*(r - 272)*(r - 1)**2/5
Let f(i) be the third derivative of i**7/70 - 37*i**6/120 + 41*i**5/40 - i**4 - 28*i**3/3 - 88*i**2. Let j(u) be the first derivative of f(u). Factor j(s).
3*(s - 8)*(s - 1)*(4*s - 1)
Let d(w) be the second derivative of -56*w**6/45 - 219*w**5/5 - 2302*w**4/9 + 306*w**3 - 380*w**2/3 + 2*w + 564. Suppose d(o) = 0. Calculate o.
-19, -5, 1/4, 2/7
Let y(i) be the first derivative of i**5/20 + i**4/16 + 1051. Suppose y(a) = 0. What is a?
-1, 0
Let w = 135 + -120. Determine g so that 128 + w*g**2 - 15*g**2 + 80*g + 248*g + 20*g**2 = 0.
-16, -2/5
Let x(k) = k**4 - k**3 - k**2 - 1. Let b(r) be the second derivative of r**6/10 - r**4/2 - 3*r**2 + 10*r - 5. Let h(n) = b(n) - 6*x(n). Factor h(t).
-3*t**3*(t - 2)
Let n be (168/(-468))/(3570/(-4420)). Factor -4/3*f - 40/9 + n*f**2.
4*(f - 5)*(f + 2)/9
Let w be 184/40 + (-2)/(-5) - -37. Factor -2*c**2 - 76*c**3 - 2*c**5 - 34*c**4 + 52*c**4 + 28*c**3 + w*c**2.
-2*c**2*(c - 5)*(c - 2)**2
Factor 104 - 11*s - 1/4*s**2.
-(s - 8)*(s + 52)/4
Factor -75*i**2 + 5*i + 40*i**3 + 0*i**2 + 31*i - i.
5*i*(i - 1)*(8*i - 7)
Let o(t) be the third derivative of -t**11/83160 - t**10/5400 - t**5/60 - 23*t**4/24 + 9*t**2 - 5*t. Let z(w) be the third derivative of o(w). Factor z(m).
-4*m**4*(m + 7)
Let c = -1453 - -1453. Let h(m) be the first derivative of 0*m - 2/3*m**3 + 0*m**4 + 2/5*m**5 + c*m**2 - 11. Solve h(y) = 0.
-1, 0, 1
Find o, given that -28*o**3 - 2*o**2 - 69 - 12*o**4 - 30*o**5 + 31*o**5 + 83 + 27*o = 0.
-1, 1, 14
Let x be (7 - 2) + (-2070)/(-6). Let o = x + -1048/3. Suppose o*d**2 - 1 + 1/3*d**4 - 4/3*d**3 + 4/3*d = 0. Calculate d.
-1, 1, 3
Factor -180*j - 27*j**2 + 92*j**2 - 35*j**2 + 17*j - 31*j**2.
-j*(j + 163)
Suppose 16 = -329*b + 11 + 5. Let u(z) be the second derivative of 5/2*z**2 + z + 0 + 1/6*z**6 + b*z**5 - 5/6*z**4 + 0*z**3. Factor u(d).
5*(d - 1)**2*(d + 1)**2
Let r be (16/(-4) - -9) + 34. Suppose 22*s = 5 + r. Solve 0*v + 0 + 1/7*v**s = 0 for v.
0
Let y(k) = 3*k**2 + 7*k - 17. Let v be y(-4). Factor 48*s**v + 64*s**2 + 2*s**5 - 163 + 32*s + 163 + 16*s**4.
2*s*(s + 2)**4
Factor 1/3*r**2 - 46/3*r - 47/3.
(r - 47)*(r + 1)/3
Let i(m) = 2*m - 5. Let c(h) = 3*h**3 - 3636*h**2 - 7305*h - 3582. Let l(u) = c(u) + 12*i(u). Find v such that l(v) = 0.
-1, 1214
Let l(c) be the third derivative of -c**6/24 + 31*c**5/2 - 14415*c**4/8 + 374*c**2 + 2*c. Let l(j) = 0. What is j?
0, 93
Let v(p) be the third derivative of -p**5/15 + 32*p**3/3 + 1380*p**2. Factor v(n).
-4*(n - 4)*(n + 4)
Suppose 5*n - 35*n**2 - 42*n**2 + 342 - 5*n**3 + n**2 + 21*n**2 - 287 = 0. What is n?
-11, -1, 1
Suppose 110 = 14*l - 58. Suppose 31 - 55 = -l*j. Factor 0*s - 3/2*s**3 + 0 + 9*s**j.
-3*s**2*(s - 6)/2
Suppose 224*m = 620326 - 619878. Factor -2/9*k**m + 4 + 2/3*k.
-2*(k - 6)*(k + 3)/9
Let x = 11/2 - 5. Let n = 202710 + -202708. Factor 0 + x*l + l**n.
l*(2*l + 1)/2
Let s(m) be the second derivative of 1/3*m**3 - 2 - 17/40*m**5 - 14*m**2 + 7/4*m**4 - 2*m + 1/60*m**6. Let s(z) = 0. What is z?
-1, 2, 14
Let g(i) be the third derivative of i**8/24 - 479*i**7/105 + 4687*i**6/420 + 221*i**5/210 - 334*i**4/21 - 268*i**3/21 - 1153*i**2. Find d, given that g(d) = 0.
-2/7, 1, 67
Factor -224/5 + 856/5*n - 256/5*n**2 + 14/5*n**3.
2*(n - 14)*(n - 4)*(7*n - 2)/5
Let t = 11729 - 11727. Let s(n) be the first derivative of 0*n + 0*n**t + 1/10*n**4 - 10 - 16/15*n**3. Factor s(m).
2*m**2*(m - 8)/5
Suppose -42*b**2 + 304 - 366*b - 78*b**2 - 3111*b - b**3 + 7138 = 0. Calculate b.
-61, 2
Let y = 1/14 - -103/28. Let x(q) be the first derivative of 5/3*q**3 + y*q**4 - q**5 + 0*q - 5*q**2 + 15 - 5/6*q**6. Determine n so that x(n) = 0.
-2, -1, 0, 1
Suppose 2*f = 2*g - 1 + 23, -5*f - 3*g + 87 = 0. Suppose 0 = f*n - 35*n. Find a, given that 0*a**2 + n - 1/6*a**3 - 1/6*a**4 + 0*a = 0.
-1, 0
Let q = -294568/3 + 99101. Let r = -909 + q. Factor -2/3 + 5/3*i**3 + 1/3*i + r*i**2.
(i + 1)**2*(5*i - 2)/3
Let j(m) be the first derivative of m**4/22 + 10*m**3/11 + 63*m**2/11 + 98*m/11 - 4635. Factor j(a).
2*(a + 1)*(a + 7)**2/11
Let c(g) be the first derivative of -g**4/40 - g**3/15 + 31*g**2/20 - 14*g/5 + 2196. Factor c(w).
-(w - 4)*(w - 1)*(w + 7)/10
Suppose -135*x**4 - 240 - 293*x**2 - 107*x**2 + 640*x + 55*x**4 - 15*x**5 + 154*x**4 - 100*x**3 + 41*x**4 = 0. Calculate x.
-2, 2/3, 1, 2, 6
Suppose 748 = g + 21*g. Let f be g/(-18) + 2 - (-1957)/855. Suppose 9/5*p**3 - 3/5*p**5 + 0 + 6/5*p**4 - f*p - 12/5*p**2 = 0. What is p?
-1, 0, 2
Factor 34*c + 640 + 5*c + 19*c - 15*c - 2*c**2 + c.
-2*(c - 32)*(c + 10)
Let q(l) be the first derivative of -13/8*l**4 + 2*l - 268 - 5/2*l**3 + 6*l**2. Factor q(p).
-(p - 1)*(p + 2)*(13*p + 2)/2
Let f = 14204 + -14200. Let m(k) be the first derivative of 5/4*k**f + 40*k**3 + 480*k**2 + 2560*k - 26. Suppose m(l) = 0. Calculate l.
-8
Determine i so that -14/11*i + 0 - 2/11*i**4 + 2/11*i**2 + 14/11*i**3 = 0.
-1, 0, 1, 7
Let q(d) = 4*d - 18. Let w be q(7). Let h be (15/w)/(2/4). Find n, given that 6*n + 2*n - 7*n + 2*n + 3*n**h + 6*n**2 = 0.
-1, 0
Factor -3/5*f**4 + 8/5*f + 0 + 22/5*f**2 - 7/5*f**3.
-f*(f - 2)*(f + 4)*(3*f + 1)/5
Let y(g) = g**2 + g - 1. Let b(x) be the first derivative of 11 + 5/3*x**3 - 1/2*x**2 + 0*x. Let w(o) = -b(o) + 4*y(o). Suppose w(m) = 0. What is m?
1, 4
Let a(m) = -40*m**2 + 96*m - 316. Let j(z) = -51*z**2 + 96*z - 314. Let k(b) = 5*a(b) - 4*j(b). Factor k(p).
4*(p - 3)*(p + 27)
Let c be -7*(-4)/(-6)*990/(-2310). Solve 18*i + 52/3 + 2/3*i**c = 0 for i.
-26, -1
Let g = 5/70117 + 70082/490819. Factor -54/7*k + 729/7 + g*k**2.
(k - 27)**2/7
Factor 328*x**3 + 0 + 2627/4*x**2 - 1/4*x**4 + 657/2*x.
-x*(x - 1314)*(x + 1)**2/4
Factor -1/3*j**2 + 90*j + 271/3.
-(j - 271)*(j + 1)/3
Let j(g) = -3*g + 10. Let n be (-48)/(-21) + (-2)/14*2. Let i be j(n). Factor -i*t + 9*t + 33*t - 180 + 22*t - 5*t**2.
-5*(t - 6)**2
Let z(w) be the second derivative of w**6/300 + 7*w**5/20 + 1313*w**4/120 + 1859*w**3/15 - 3194*w. Let z(n) = 0. Calculate n.
-44, -13, 0
Let n(j) = 9*j**3 + 7*j**2 - 7*j - 3. Suppose 4*f = -37 + 97. Let r(c) = 65*c**3 + 50*c**2 - 50*c - 20. Let u(t) = f*n(t) - 2*r(t). Solve u(q) = 0.
-1, 1
Suppose -3*n = -i - 164, 170 = 3*n - 29*i + 25*i. Let t be 26/(-6)*(n/12 - 9). Factor -49/4 - t*l**2 - 28*l - 1/4*l**4 - 4*l**3.
-(l + 1)**2*(l + 7)**2/4
Factor -2/5*i**2 -