 + 3/4*t**f - 3/2*t**2 - 3/4*t = 0.
-1, 1, 2
Let i(b) be the first derivative of -3*b**2 + 2/3*b**3 - 8*b - 172. Factor i(z).
2*(z - 4)*(z + 1)
Let f(b) be the third derivative of b**5/240 - 139*b**4/48 + 19321*b**3/24 - 447*b**2. Factor f(c).
(c - 139)**2/4
Let w(i) be the first derivative of 37 - 8/3*i**2 - 2*i + 2/15*i**5 + 0*i**4 - 4/3*i**3. Factor w(q).
2*(q - 3)*(q + 1)**3/3
Suppose 10895 - 10499 + 33*u - 8*u - u**2 = 0. Calculate u.
-11, 36
Let t(m) be the first derivative of -m**6/9 - 124*m**5/5 - 5671*m**4/3 - 47712*m**3 + 242109*m**2 - 333396*m + 5008. Suppose t(y) = 0. Calculate y.
-63, 1, 2
Let m(p) = -p**3 - 11*p**2 - 3*p + 13. Let n(c) = c**3 + c - 1. Suppose r = -2*f - 4, 3*f + 12*r + 1 = 13*r. Let l(u) = f*m(u) - 2*n(u). What is k in l(k) = 0?
-1, 1, 11
Suppose 3*o = -6, r - 553 = 4*o + 230. Let z = r - 775. Suppose -8/19*v + z + 8/19*v**3 - 2/19*v**2 + 2/19*v**4 = 0. Calculate v.
-4, -1, 0, 1
Suppose 2*i = -4*z - z + 495, 3*z - 2*i = 281. Suppose -z*q + 5*q**4 + 46*q + 5*q**3 - 5*q**2 + 46*q = 0. Calculate q.
-1, 0, 1
Let i be 10808/2316*(-1*4/(84/9) + 1). Suppose -i*j**2 + 5/3*j + 1/3*j**3 + 14/3 = 0. Calculate j.
-1, 2, 7
Let z(o) be the first derivative of -27/14*o**2 - 52/7*o**3 + 3/7*o + 43. Factor z(a).
-3*(4*a + 1)*(13*a - 1)/7
Let k be 21/(-49) - ((-80)/64)/(63/5148). Determine r, given that 44*r**2 + 208/7 + k*r + 30/7*r**4 - 418/7*r**3 = 0.
-2/3, -2/5, 2, 13
Let v = 52380 + -52380. Let q = 1 - -1. Suppose v*r + 0*r**q + 0 + 4/3*r**4 - 1/3*r**3 = 0. Calculate r.
0, 1/4
Let p be 1392/522*(-5)/(-24). Factor -1/9*u**2 + p*u - 2/3.
-(u - 3)*(u - 2)/9
Let d = -25212 - -25215. Factor 1/2*b**4 + 0 + 0*b + 0*b**d + 0*b**2.
b**4/2
Let c(x) be the first derivative of -x**5/5 - x**4/3 + 2*x**3/3 + 2*x**2 + 7*x + 81. Let j(s) be the first derivative of c(s). Determine l, given that j(l) = 0.
-1, 1
Let t(w) be the first derivative of 81*w**4/16 - 9*w**3/2 + 3*w**2/2 - 3*w - 50. Let h(m) be the first derivative of t(m). Factor h(n).
3*(9*n - 2)**2/4
Let k be 4 - (-2 + (-4)/(-2)). Suppose -4*x + 16 = -k. Solve -4*r**2 + x*r**2 - 4*r**2 + r**2 = 0.
0
Suppose -36*p = 2*n - 41*p + 24, 22 = -5*n + 3*p. Let x(r) = 21*r + 45. Let t be x(n). Factor 4/17*u**2 + 2/17*u**t + 0*u + 0.
2*u**2*(u + 2)/17
Let c = 59671/9 + -6630. Let n(y) be the second derivative of 0 - c*y**4 + 0*y**3 - 1/63*y**7 + 0*y**2 - 5*y + 0*y**6 + 1/10*y**5. Solve n(x) = 0.
-2, 0, 1
Let r(i) be the first derivative of -5*i**7/14 + i**6/3 + i**5/4 + 26*i + 44. Let n(j) be the first derivative of r(j). Find m such that n(m) = 0.
-1/3, 0, 1
Let w(c) = c**5 + 2*c**4 + c**3 + c. Let k(y) = 39*y**4 - 114*y**3 + 135*y**2 + 3*y. Suppose 0 = -4*f + 7 - 19. Let t(x) = f*w(x) + k(x). Solve t(v) = 0 for v.
0, 3, 5
Let s be (-64)/(-6)*(-9)/(-6)*1/4. Let w(i) be the third derivative of 0 + 2*i**3 - 5/8*i**s + 0*i + 1/20*i**5 + 6*i**2. Factor w(u).
3*(u - 4)*(u - 1)
Suppose -31*u + 4*u = 17*u. Let q(c) be the second derivative of 12*c + 4/3*c**4 + 0*c**2 + 1/5*c**5 + 8/3*c**3 + u. Find o such that q(o) = 0.
-2, 0
Let k = 18820268570/1067 - 17638494. Let g = -6/97 - k. Factor -238/11*u**4 + 98/11*u**5 + 134/11*u**3 - 32/11*u + g*u**2 - 8/11.
2*(u - 1)**3*(7*u + 2)**2/11
Let o(q) = -q**2 - 20*q - 16. Let h be o(-19). Let a(w) be the second derivative of -6*w + 1/6*w**4 + 0 + 4*w**2 + 4/3*w**h. Suppose a(i) = 0. Calculate i.
-2
Let r(a) be the first derivative of 2*a**3/15 + 10*a**2 - 3135. Factor r(f).
2*f*(f + 50)/5
Let u(q) be the third derivative of -q**6/420 - q**5/42 + q**4/84 + 5*q**3/21 + 1438*q**2. Factor u(f).
-2*(f - 1)*(f + 1)*(f + 5)/7
Let i(s) be the first derivative of -s**3/9 + 1663*s**2/12 - 277*s/2 + 7115. Find k such that i(k) = 0.
1/2, 831
Suppose -2*n - 3*w = 2, 4*w - 8 = 3*n + 12. Let l be 1 + ((-203)/63 - n). Find i such that l*i - 14/9 - 2/9*i**2 = 0.
1, 7
Suppose 5522927*o + 162 = 5523008*o. Factor -2/3 - 1/6*b**3 - 11/6*b - 3/2*b**o + 1/6*b**4.
(b - 4)*(b + 1)**3/6
Let i = -67 + 79. Suppose 5*n = -5*g + 20, i = 4*g - n - 9. Factor 121*p**2 - 2*p**3 + 2*p**g - 121*p**2.
2*p**3*(p - 1)*(p + 1)
Find u, given that -u**5 - 3*u**4 + 31*u**4 - 112*u**2 + 282*u**2 - 198 - 142*u - 140*u**3 + 283*u = 0.
-1, 1, 3, 22
Suppose 0 = -p - 0*p + 3. Suppose p*k - 6*k + 2*q = -22, 0 = 3*k - 5*q - 28. Factor 5*d - d + k*d - 3*d**2 + 2*d.
-3*d*(d - 4)
Let v(s) = 27*s - 2860. Let d be v(106). Let q(r) be the first derivative of -2 + 2/39*r**6 + 0*r**4 + 0*r + 0*r**3 + 2/65*r**5 + 0*r**d. Factor q(k).
2*k**4*(2*k + 1)/13
Let z(k) be the second derivative of k**5/60 + 277*k**4/36 + 6*k - 116. Factor z(h).
h**2*(h + 277)/3
Let b(w) = -94*w**2 - 2035*w - 12446. Let o(x) = 131*x**2 + 3053*x + 18670. Let t(l) = 7*b(l) + 5*o(l). Factor t(v).
-3*(v - 346)*(v + 6)
Let u(k) be the first derivative of -169*k**4/12 - 11609*k**3/9 + 1792*k**2/3 - 92*k - 3033. Factor u(b).
-(b + 69)*(13*b - 2)**2/3
Let m(p) be the first derivative of p**6/6 + p**5/5 - p**4/2 - 2*p**3/3 + p**2/2 + p + 2665. Solve m(b) = 0 for b.
-1, 1
Factor 326*g + 70*g**2 - 648 - 78*g - 892 - 74*g**2.
-4*(g - 55)*(g - 7)
Suppose -4*f - l - 2267 = 2*l, 3*f - 4*l + 1669 = 0. Let w = f + 566. Factor 0*o + 0 + 1/2*o**w + 1/2*o**2 - 1/2*o**5 - 1/2*o**4.
-o**2*(o - 1)*(o + 1)**2/2
Let w(x) be the first derivative of x**3 + 108*x**2 + 3021*x + 207. Factor w(k).
3*(k + 19)*(k + 53)
Let n(l) be the third derivative of -l**6/1020 - 47*l**5/510 - 67*l**4/102 - 88*l**3/51 - 3*l**2 - 169*l. Factor n(j).
-2*(j + 1)*(j + 2)*(j + 44)/17
Let g(a) be the third derivative of 3*a**5/10 + 203*a**4/3 + 60*a**3 + 4449*a**2 - a. Factor g(t).
2*(t + 90)*(9*t + 2)
Let y be (((-46)/22 - -2) + 47960/(-4840))/(-3). Suppose y*i - 5 + 5/3*i**2 = 0. Calculate i.
-3, 1
Suppose -4*k + 6*k + 86 = 4*j, 28 = 2*j + 4*k. Determine y, given that -j*y + 0 - 4/3*y**2 = 0.
-15, 0
Let b(c) be the third derivative of -c**7/2520 + c**6/1440 + c**5/15 - 11*c**4/18 + 16*c**3/9 + 1825*c**2. Solve b(a) = 0 for a.
-8, 1, 4
Let p be 234/195*30/(-4). Let l(z) = -z**2 + 10*z + 171. Let f be l(p). Factor f + 0*g + 1/5*g**2.
g**2/5
Let c(q) be the third derivative of q**6/60 + q**5/60 - q**4/12 + q**3/6 + q**2. Let x be c(2). Solve -x*h - 2*h**4 - 6*h**2 + 13*h + 4*h**4 = 0 for h.
-1, 0, 2
Suppose -2*b - 2*s + 102 = 0, 3*s + 202 = 4*b + 5*s. Let a be b/15*(-6)/(-10). Solve 8/3*i**a + 4/3*i - 5/3*i**4 + 0 - 7/3*i**3 = 0.
-2, -2/5, 0, 1
Let i(l) = 4*l**2 - 263*l + 485. Let h(s) = -s**2 + 9. Let q(t) = -5*h(t) - i(t). Let q(m) = 0. Calculate m.
-265, 2
Let r(q) = 2*q**2 + 31*q + 74. Let b be 1*((-14)/28)/(1/2). Let f(w) = -w**2 + w - 1. Let s(j) = b*r(j) + f(j). What is t in s(t) = 0?
-5
Let r(a) be the third derivative of a**6/1320 + a**5/110 + 5*a**4/264 + 1942*a**2. Factor r(k).
k*(k + 1)*(k + 5)/11
Let c(y) be the third derivative of -y**6/360 - y**5/15 - 5*y**4/8 - 31*y**3 - 17*y**2 + y. Let a(t) be the first derivative of c(t). Factor a(h).
-(h + 3)*(h + 5)
Let n(b) be the first derivative of 7*b**4/12 - 25*b**3/3 + 8*b**2 + 20*b/3 - 382. What is z in n(z) = 0?
-2/7, 1, 10
Let x(f) be the third derivative of -2*f - 1/84*f**8 - 4/5*f**5 + 0 + 4/3*f**4 + 0*f**3 + 1/15*f**6 + 2/35*f**7 + 104*f**2. Find w such that x(w) = 0.
-2, 0, 1, 2
Let x(m) = -256*m**3 + 495*m**2 + 786*m + 237. Let w(p) = 1536*p**3 - 2975*p**2 - 4717*p - 1420. Let t(b) = -6*w(b) - 38*x(b). Factor t(v).
2*(v - 3)*(16*v + 9)**2
Factor -65687*s**2 + 131368*s**2 - 621 - 65684*s**2 + 216*s.
-3*(s - 69)*(s - 3)
Let y be 2107/(-903)*(-2)/154. Let m(b) be the second derivative of 0 - 1/110*b**5 + 1/66*b**4 + y*b**3 - 1/11*b**2 + 14*b. Factor m(w).
-2*(w - 1)**2*(w + 1)/11
Let u be 0 + (-740)/(-78) + -14 + 3420/247. Factor -8 - u*w - 32/9*w**2 - 4/9*w**3.
-4*(w + 2)*(w + 3)**2/9
Find g such that -44/5*g + 32/5 + g**2 = 0.
4/5, 8
Let u(q) be the third derivative of -q**8/2352 - 19*q**7/1470 - 13*q**6/140 + q**5/3 + 25*q**4/21 + 17*q**2 + 69*q. Suppose u(d) = 0. What is d?
-10, -1, 0, 2
Let k(r) be the third derivative of r**7/2520 - r**5/120 + r**4/36 + 17*r**3/2 + 2*r**2 - 3. Let m(o) be the first derivative of k(o). Let m(z) = 0. What is z?
-2, 1
Let c(i) be the second derivative of -i**4/108 - 1306*i**3/27 - 852818*i**2/9 - 6*i - 318. Determine d so that c(d) = 0.
-1306
Let q(v) be the first derivative of 0*v**2 - 1/