 75*v - 8*v**3 + 2*v**4 + 1.
2*(v - 1)**4
Let c be (4/5)/(1/5). Let b(a) = a**3 - 5*a**2 - 25*a + 10. Let w be b(8). Factor -21*q + 21*q - c - 1 + 5*q**w.
5*(q - 1)*(q + 1)
Let k = 82 + -82. Suppose -p - 6 = -2*w, k = -4*w + 22 - 6. Factor -p*f**2 - 5*f + 2 - 4 + 7*f + 4*f**2 - 2*f**3.
-2*(f - 1)**2*(f + 1)
Let f(n) be the first derivative of 2 + 121/5*n + 1/15*n**3 + 11/5*n**2. Determine w, given that f(w) = 0.
-11
Solve -1/2*f**2 + 39/2 - 19*f = 0 for f.
-39, 1
Let w = -146 - -155. Find z such that -161*z**2 - 166*z**2 - w*z + 324*z**2 = 0.
-3, 0
Let -4 + 31/6*v**2 + 245/6*v = 0. Calculate v.
-8, 3/31
Find w, given that -7*w**5 + 6245 - 65*w**4 - 350*w - 6550*w**2 - 1295*w + 370 - 4*w**5 + 1650*w**3 + 6*w**5 = 0.
-27, -1, 1, 7
Let d(w) be the third derivative of -w**8/1176 - 8*w**7/245 + 17*w**6/140 - 13*w**5/105 - 865*w**2. Factor d(n).
-2*n**2*(n - 1)**2*(n + 26)/7
Let i = 37658 - 37650. Determine g so that 36/5 - i*g - 1/5*g**3 + 13/5*g**2 = 0.
2, 9
Let v(i) be the second derivative of -i**6/90 + 2*i**4/3 - 16*i**3/3 - 5*i. Let w(f) be the second derivative of v(f). Factor w(g).
-4*(g - 2)*(g + 2)
Let z(t) = -2*t**3 - 14*t**2 + 198*t + 28. Let l be z(-14). Let l - 1/6*y**2 + 1/6*y**4 + 5/6*y - 5/6*y**3 = 0. Calculate y.
-1, 0, 1, 5
Suppose -1 = o - 2*v - 8, -3*o = 5*v - 10. Suppose 0 = -0*q + 5*q - o. Find g such that g**2 - 7 + 6 - q - g = 0.
-1, 2
Factor 36/7*m + 96/7*m**2 - 162/7 + 4*m**3 + 2/7*m**4.
2*(m - 1)*(m + 3)**2*(m + 9)/7
Let t = 4932 + -4920. Let h(x) be the first derivative of -1/6*x**4 - x**2 + 0*x - t + 10/9*x**3 - 2/15*x**5. Find d, given that h(d) = 0.
-3, 0, 1
Let d(f) = f. Suppose -2*o + 4*x - 11 = -7*o, 5*x = 3*o + 23. Let u(p) = -1 - 2 + 2*p**2 - p**2 + 12*p + 2*p**2. Let g(j) = o*u(j) + 12*d(j). Factor g(t).
-3*(t - 1)*(t + 1)
Let z = 1417 + -2117. Let o be (-14)/(z/30)*10/3. Factor -72/7 + 2/7*q**3 + 96/7*q - 26/7*q**o.
2*(q - 6)**2*(q - 1)/7
Suppose 3*x - 58 + 10 = 0. Suppose 2*u = 2*p - x, 8 = -3*u - 4. Determine m, given that -7*m**2 + 8*m + p*m**2 + 3*m**2 + 12*m**2 = 0.
-2/3, 0
Let x(u) = u**2 + 10*u - 50. Let m be x(-14). Let d be (35 - 41)*(2/1)/(-6). Suppose -1/3*p**3 + 11/6*p**2 + d*p - m - 1/6*p**4 = 0. What is p?
-3, 2
Let p = -16631/16 + 2647729/2544. Let o = p + -1/318. Factor o + 28/3*u**2 - 4*u**3 - 20/3*u.
-4*(u - 1)**2*(3*u - 1)/3
Let p(g) = 2*g**3 + 59*g**2 - 29*g + 24. Let d be p(-30). Let o be 561/(-204) - (d - -1). Factor -1/4*j**3 - 15/4*j + 7/4*j**2 + o.
-(j - 3)**2*(j - 1)/4
Let n be (4/(-14))/(32/(-448)). Factor -2*p**3 - 1772 + 0*p - p**n + p + 1771 + 2*p**2 + p**5.
(p - 1)**3*(p + 1)**2
Let x = 5144 + -5144. Suppose 2 + 11 = 4*m - 3*q, 2*m + 4*q - 12 = 0. Let x + 6/7*a**m - 6/7*a**2 + 4/7*a - 4/7*a**3 = 0. What is a?
-1, 0, 2/3, 1
Suppose 3/7*h**2 + 3534/7*h + 1040763/7 = 0. Calculate h.
-589
Let a(s) = -s**2 - 52*s - 189. Let h be a(-48). Let u(j) be the first derivative of -1/2*j**4 + 12 - j**2 + 0*j - 4/3*j**h. Factor u(f).
-2*f*(f + 1)**2
Let w(h) be the first derivative of -1/4*h**4 - 24 - 507/2*h**2 + 2197*h + 13*h**3. Factor w(v).
-(v - 13)**3
Let k(y) = 14*y - 16 - y + 2 + 51 + 28. Let i be k(-5). Factor i*t - 2/3*t**4 - 2/9*t**3 + 0 + 0*t**2.
-2*t**3*(3*t + 1)/9
Let u(j) = j**3 - 4*j**2 - 3. Let y be u(4). Let w be (-25)/5 + 4 - y. Factor 57*q**2 - 32*q**w + 3*q**3 - 28*q**2 + 3 - 3*q.
3*(q - 1)**2*(q + 1)
Suppose -7 = -4*q + 17. Let d be 10/(-15) + 22/q. Factor u**3 + 13*u**3 + u**3 - 6*u**2 - 24*u - d*u**4.
-3*u*(u - 4)*(u - 2)*(u + 1)
Let 324 - 180*y + 14/3*y**3 - 1/3*y**4 + y**2 = 0. Calculate y.
-6, 2, 9
Let r(q) = q**2 + 131*q + 180. Let k(v) = 5*v**2 + 771*v + 1080. Let z(n) = -6*k(n) + 34*r(n). Factor z(g).
4*(g - 45)*(g + 2)
Let r(g) be the first derivative of -90 + 3/14*g**2 + 3/7*g**3 - 2/7*g + 1/28*g**4 - 3/35*g**5. Determine o so that r(o) = 0.
-1, 1/3, 2
Let h(c) = -c**3 + 10*c**2 - 20*c + 34. Let j be h(8). Suppose 0 = 4*y + 8, 5*f - j*y - y - 26 = 0. Factor -6*k**3 + 0 + 0*k**2 - 4*k**f + 0*k - 2/3*k**5.
-2*k**3*(k + 3)**2/3
Suppose 5*h = 7 + 3. Find c, given that -47*c + 105*c - 48*c + 5*c**h = 0.
-2, 0
Suppose -21*o = -10*o + 9*o. Let w(g) be the third derivative of 19*g**2 - 7/8*g**4 + o*g - 3*g**3 + 3/20*g**5 + 0. Find r, given that w(r) = 0.
-2/3, 3
Solve -143646/7*w - 2/7*w**3 - 1070/7*w**2 - 142578/7 = 0 for w.
-267, -1
Suppose 32 = -6*j + 14*j. Let m be -2*(-14)/4*1. Factor -4*x**3 + 2*x**4 + 3*x**5 + m*x**3 - 8*x**j.
3*x**3*(x - 1)**2
Let u(w) be the third derivative of 3*w**5/20 - 247*w**4/24 + 18*w**3 - 4091*w**2 - 2*w. Let u(t) = 0. What is t?
4/9, 27
Factor 56/3*z**2 + 2/3*z**4 + 6*z**3 + 24*z + 32/3.
2*(z + 1)*(z + 2)**2*(z + 4)/3
Let -1452 + 502/3*z**2 + 2/9*z**4 - 122/9*z**3 + 1298*z = 0. What is z?
-6, 1, 33
Factor -1/10*k**4 - 20358*k**2 - 8787609/5*k - 391/5*k**3 + 17779581/10.
-(k - 1)*(k + 261)**3/10
Let l(s) = s - 8. Let w be l(8). Suppose w = -44*u + 37*u. Find k, given that -1/8*k**3 + 0 + 1/8*k**2 + u*k = 0.
0, 1
Let c(v) = 18*v**2 - 130*v + 264. Let d(o) = -5*o**2 + o - 1. Let a(u) = -c(u) - 4*d(u). Solve a(t) = 0 for t.
-65, 2
Suppose -74*l + 792 = -30*l. Let k be ((-81)/l)/(20/(-8)). Find i, given that 0 - 9/5*i**4 + k*i**2 + 6/5*i - 3/5*i**3 - 3/5*i**5 = 0.
-2, -1, 0, 1
Suppose -519 = -5*l - 3*i, -239 - 294 = -5*l + 4*i. Factor -l*u**2 + 275*u - 16*u**4 - 4*u**4 + 19*u**4 - 250 + 17*u**3.
-(u - 5)**3*(u - 2)
Let p(t) be the second derivative of 3*t**5/20 + 579*t**4 + 893976*t**3 + 690149472*t**2 + 3727*t. Solve p(o) = 0.
-772
Factor -4*i**2 + 5*i - 3/2.
-(2*i - 1)*(4*i - 3)/2
Suppose r - 14 = -2*h, -63 = -4*r - 3*h - 22. Let y(z) = -3*z**2 - 67*z + 54. Let g(b) = b**2 + 23*b - 18. Let l(t) = r*g(t) + 3*y(t). Factor l(d).
-(d - 1)*(d + 18)
Let h be 78029/(-714) + 16/136. Let b = -109 - h. Factor 0*f + 1/2*f**3 + b*f**5 + 0 + 1/6*f**2 + 1/2*f**4.
f**2*(f + 1)**3/6
Factor 67*r - 470/7 + 1/7*r**2.
(r - 1)*(r + 470)/7
Let h(a) be the first derivative of 5*a**7/84 + 2*a**6/5 + 33*a**5/40 + 7*a**4/12 + 217*a + 284. Let y(p) be the first derivative of h(p). Factor y(x).
x**2*(x + 1)**2*(5*x + 14)/2
Let i(a) = 19*a**2 - 5033*a + 5147. Let h(w) = -32*w**2 + 8388*w - 8584. Let m(b) = -7*h(b) - 12*i(b). Factor m(j).
-4*(j - 419)*(j - 1)
Let u(l) be the third derivative of -2*l + 3/392*l**8 + 2/105*l**5 + 22/245*l**7 + 0 + 0*l**3 - 2*l**2 + 73/420*l**6 - 1/7*l**4. Find j such that u(j) = 0.
-6, -1, -2/3, 0, 1/3
Let j(o) be the second derivative of o**4/4 - 181*o**3/2 + 4*o - 57. Suppose j(a) = 0. What is a?
0, 181
Let a(s) be the second derivative of -1/10*s**5 + 0 - 34*s - 8/5*s**2 + 4/15*s**3 + 1/5*s**4 + 1/75*s**6. Factor a(i).
2*(i - 2)**3*(i + 1)/5
Let q(s) be the second derivative of s**7/630 + s**6/45 - s**4/12 + 25*s**3/2 + 2*s + 64. Let b(a) be the third derivative of q(a). Find u, given that b(u) = 0.
-4, 0
Find i such that -18 + 12*i + 1/2*i**3 + 11/2*i**2 = 0.
-6, 1
Let i(d) be the first derivative of -d**4/34 + 356*d**3/51 + 724*d**2/17 + 1456*d/17 + 4642. Factor i(h).
-2*(h - 182)*(h + 2)**2/17
Let l be 612/2550*(-50)/(-3). Let f(d) be the third derivative of -7/51*d**l - 49/510*d**5 - 4/51*d**3 + 0*d + 0 - 8*d**2. Suppose f(h) = 0. What is h?
-2/7
Let j(x) be the third derivative of -x**5/105 + 20*x**4/21 - 136*x**3/7 - 2838*x**2. Factor j(p).
-4*(p - 34)*(p - 6)/7
Let d(h) be the second derivative of -h**6/6 + 36*h**5 + 725*h**4/12 + h + 28. Determine c so that d(c) = 0.
-1, 0, 145
Let p be (309/(-18) - 4) + (-1)/(-6). Let m be (-11 + (-10 - p))/(-2 - -4). Let -26/3*s + 2/3*s**2 + m = 0. Calculate s.
0, 13
Factor -366/5*x**2 + 0 + 11163/5*x + 3/5*x**3.
3*x*(x - 61)**2/5
Suppose -2*a + f = -1476, 2*f + 1890 + 323 = 3*a. Determine d, given that -5*d**3 + 3*d**3 + 2*d**2 + a*d - 735*d = 0.
-1, 0, 2
Factor 19 - 4*y**2 + 15 - 19*y + 5*y**2 - 4*y**2 + 4*y**2.
(y - 17)*(y - 2)
Let x(j) be the first derivative of j**7/1470 - 3*j**6/280 - 7*j**2/2 + 10. Let c(n) be the second derivative of x(n). Determine q so that c(q) = 0.
0, 9
Determine z, given that -2/3*z**2 + 2/3*z**4 - 100/9*z + 29/9*z**3 - 1/9*z**5 - 8 = 0.
-2, -1, 2, 9
Let z(u) be the third derivative of -152*u**2 + 0*u**5 - 3*u**3 + 1/200*u**6 + 0*u + 0 - 19/40*u**4. Factor z(i).
3*(i - 5)*(i + 2)*(i + 3)/5
Let d = 398691/5 - 79456. Let c = -281 + d. Determine v so that 0 - 6/