+ 3/16*d**6 + 1/16*d**4 + 13/140*d**7 + 7/40*d**5. Factor f(t).
3*t*(t + 1)**3*(4*t + 1)/2
Let w be ((-10)/(-105))/((-7)/49)*(-120)/56. Factor 2/7*i**5 - 12/7*i**3 + w*i + 4/7*i**2 + 2/7*i**4 - 6/7.
2*(i - 1)**3*(i + 1)*(i + 3)/7
Let d(z) be the first derivative of -z**6/15 - 166*z**5/5 + 167*z**4 - 1004*z**3/3 + 335*z**2 - 838*z/5 - 5885. Suppose d(r) = 0. What is r?
-419, 1
Let c = 261 + -521. Let d = c + 262. Let -3/5*t**d - 6/5*t + 0 = 0. What is t?
-2, 0
Let m(f) be the first derivative of 5*f**3/3 - 3*f**2 - 7*f - 28. Let k be m(-1). Let -2/3*l**5 - 2/3*l + 0*l**2 + 4/3*l**3 + 0*l**k + 0 = 0. What is l?
-1, 0, 1
Factor 1568*w - 13216006 - w**2 + 13369670 + 5*w**2.
4*(w + 196)**2
Solve -5/3*l**2 - 455*l + 0 = 0 for l.
-273, 0
Let q(l) be the first derivative of l**6/24 - 3*l**5/10 + l**4/2 - 5*l**3 + 39. Let p(b) be the third derivative of q(b). What is h in p(h) = 0?
2/5, 2
Let g(d) be the third derivative of d**7/42 + 509*d**6/6 + 259081*d**5/2 + 659361145*d**4/6 + 335614822805*d**3/6 + 689*d**2 + 2. Factor g(t).
5*(t + 509)**4
Let x(o) be the third derivative of o**6/30 + 17*o**5/3 + 83*o**4/3 + 15*o**2 + 14*o - 1. Find n, given that x(n) = 0.
-83, -2, 0
Let o(h) = -21*h + 3*h - 3*h + 19*h + 6*h + 2. Let t be o(0). Factor -2/9*s**3 + 0 - 4/3*s**t + 0*s.
-2*s**2*(s + 6)/9
Let j(f) = -64*f**3 + 277*f**2 - 885*f + 658. Let t(p) = -19*p**3 + 92*p**2 - 295*p + 218. Let n(z) = 2*j(z) - 7*t(z). Factor n(h).
5*(h - 14)*(h - 3)*(h - 1)
Let j(x) be the first derivative of x**4/30 - 14*x**3/45 - 154*x**2/15 + 64*x/3 + 618. Suppose j(m) = 0. What is m?
-10, 1, 16
Let t be 13 + 0/(-8) + -9 - 1. Let o(u) be the third derivative of -1/54*u**4 + 0*u**t + 1/54*u**5 + 0 - 8*u**2 + 0*u. Factor o(w).
2*w*(5*w - 2)/9
Let c be 9880/16*(-2)/(-5). Factor 12*a - 6*a - c*a**2 + 8 + 248*a**2.
(a + 2)*(a + 4)
Let l(z) be the second derivative of -z**4/96 + 59*z**3/48 - 29*z**2/8 + 154*z - 2. Factor l(g).
-(g - 58)*(g - 1)/8
Let j(k) be the first derivative of -3/4*k - 3/8*k**4 + 3/4*k**2 + 3/20*k**5 + 74 + 0*k**3. Let j(u) = 0. What is u?
-1, 1
Suppose 26*l - 30*l = 560. Let s be (-7)/l*-5 - (-207)/156. Find m such that 14/13*m - 4/13 - s*m**3 + 10/13*m**4 - 6/13*m**2 = 0.
-1, 2/5, 1
Let o(u) be the first derivative of u**6/20 - u**4 + 12*u**2 + 67*u + 51. Let i(a) be the first derivative of o(a). Find t such that i(t) = 0.
-2, 2
Let a(v) = 3*v**2 + 1. Let q(i) = i**3 - 203*i**2 - 5. Let r(k) = -15*a(k) - 3*q(k). Determine h so that r(h) = 0.
0, 188
Let y(f) be the second derivative of 2/15*f**6 - 6/5*f**5 + 0 - 8*f**3 + 8*f**2 + 13/3*f**4 - 139*f. Solve y(u) = 0.
1, 2
Suppose -3161*j + 29061 = 6152*j - 3033*j + 3407*j. Solve -12*x**2 - 4/3*x**j + 0 - 56/3*x = 0.
-7, -2, 0
Let t(n) be the third derivative of -3*n**8/392 - 58*n**7/2205 - n**6/36 - 2*n**5/315 + 1507*n**2. Determine f, given that t(f) = 0.
-1, -4/27, 0
Let j(q) be the third derivative of -q**7/1365 + 19*q**6/780 - 7*q**5/26 + 197*q**4/156 - 110*q**3/39 + 396*q**2. Find l, given that j(l) = 0.
1, 2, 5, 11
Suppose 0 = -9*h + 31 - 13. Factor -12 + 29*s**h - 9*s**2 - 44*s - 4*s**2.
4*(s - 3)*(4*s + 1)
Let y be 14 - (0 + (-6 - -18 - 0)). Let t(x) be the first derivative of -3/10*x**y - 3/5*x + 1/5*x**3 + 3/20*x**4 + 23. Factor t(d).
3*(d - 1)*(d + 1)**2/5
Let 181*p**2 + 8438*p**3 - 8442*p**3 - 589*p**2 + 4*p + 319 + 89 = 0. Calculate p.
-102, -1, 1
Let v be (1 - 4) + 22 + -5. Let i = -84 - -88. Determine s so that 26*s**2 - 14*s**2 - v*s**2 + i*s**3 - 4*s + 2 = 0.
-1, 1/2, 1
Suppose 2*o + 248 - 258 = 5*l, 2*o - 10 = l. Find n, given that 0*n + 2/13*n**5 + l + 48/13*n**3 - 18/13*n**4 - 40/13*n**2 = 0.
0, 2, 5
Let y(o) be the third derivative of o**6/120 - o**5/20 + o**4/8 - 19*o**3/3 + 9*o**2. Let a(i) be the first derivative of y(i). Factor a(t).
3*(t - 1)**2
Let l be 250/(-1375) + 21/22*(-20)/(-6). Let u(f) be the second derivative of -1/10*f**l + 0*f**2 - 4*f + 0 - 1/60*f**4. Determine o so that u(o) = 0.
-3, 0
Suppose 0 = -4*s - 5*j + 867 - 914, 0 = -3*j - 33. What is o in -1/4*o**5 - 9*o + 7/4*o**s - 3/4*o**4 + 13/4*o**3 + 5 = 0?
-5, -2, 1, 2
Let k be 1152/(-64)*((-2)/3 + 1). Let y(o) = 21*o**2 + 6*o - 3. Let v(w) = -45*w**2 - 13*w + 6. Let l(x) = k*v(x) - 13*y(x). Factor l(u).
-3*(u - 1)*(u + 1)
Let h(q) be the third derivative of q**5/240 + 19*q**4/48 - 935*q**3/24 - 10*q**2 + 11*q + 10. Factor h(u).
(u - 17)*(u + 55)/4
Let i(u) be the first derivative of -4*u**3/15 + 154*u**2/5 - 304*u/5 + 1321. What is h in i(h) = 0?
1, 76
Suppose -5*w + 45 = 2*o - o, 0 = 3*o. Suppose w*c - 7*c = 42. Solve 12*q**5 - 8*q**3 + 14*q**5 + 4*q**2 + c*q**5 - 48*q**5 + 5*q**4 = 0 for q.
0, 1, 2
What is y in 8*y**4 + 420 - 304*y + 2*y**4 - 136*y**2 + 22*y**3 - 6*y**3 - 12*y**4 + 6*y**4 = 0?
-7, -3, 1, 5
Let f(d) be the first derivative of 5/6*d**4 - 5/6*d**3 - 26*d - 31 + 0*d**2 + 1/4*d**5 - 1/3*d**6. Let m(n) be the first derivative of f(n). Factor m(g).
-5*g*(g - 1)*(g + 1)*(2*g - 1)
Let l be 74860/100 - (1 + 8). Let q = -739 + l. Let -9/5*k**4 + 12/5*k**5 - 39/5*k**3 + q*k**2 + 27/5*k + 6/5 = 0. What is k?
-1, -1/4, 1, 2
Determine l, given that 44/7*l + 1/7*l**2 - 192/7 = 0.
-48, 4
Let g(i) = i**3 + 17*i**2 + 28*i - 32. Let q be g(-15). Let r(c) = 3*c**3 - c**2 + 1. Let n(s) = -2*s**3 - 94*s**2 - 2. Let z(d) = q*r(d) - n(d). Factor z(u).
-4*u**2*(u - 24)
Let n(o) be the third derivative of -o**8/10080 + o**6/90 + o**5/30 - 41*o**3/6 + 19*o**2 + 3. Let s(v) be the third derivative of n(v). Factor s(c).
-2*(c - 2)*(c + 2)
Let 232/7*l - 78/7*l**2 + 6/7 = 0. What is l?
-1/39, 3
Determine f, given that 200/11*f**3 - 2/11*f**4 - 582/11*f**2 + 776/11 - 8/11*f = 0.
-1, 2, 97
Let n be (-13)/(13/12)*-108. Let d = 1299 - n. What is i in 1/7*i**4 - 1/7*i**d - 3/7*i**2 + 1/7*i + 2/7 = 0?
-1, 1, 2
Let d(k) be the first derivative of 31*k**2/2 - 183*k + 198. Let s be d(6). Suppose -16/9*l - 4/3*l**s - 32/9 + 40/9*l**2 = 0. Calculate l.
-2/3, 2
Let y be -4 - 7*(-10 - -9). Let c(a) be the second derivative of 15*a + 4/15*a**y + 1/30*a**4 + 0 + 3/5*a**2. Factor c(d).
2*(d + 1)*(d + 3)/5
Let d = 25 + -37. Let s = d - -12. Let -24*z - 4*z**2 - 20 + s*z**2 - 10 - 6 = 0. What is z?
-3
Let h(z) be the third derivative of 8/15*z**5 + 2/105*z**7 + 0*z**3 - 1/6*z**6 - 2*z**2 - 2/3*z**4 + 0 - 25*z. Solve h(o) = 0 for o.
0, 1, 2
Let k be -1 + 5 + (-8)/((-280)/(-1863)). Let d = -339/7 - k. Factor 4*v + d*v**2 + 16/5.
4*(v + 1)*(v + 4)/5
Let b(k) = k**2 - 40*k + 176. Let c be b(35). Let m(d) = 364*d**2 - 991*d + 676. Let r(p) = p**2 - p + 1. Let y(o) = c*m(o) - r(o). Find t, given that y(t) = 0.
15/11
Suppose -44 + 8792 = 18*d. Factor -7*c**2 - 4*c + d*c**3 - 488*c**3 + 0*c**4 + c**4.
c*(c - 4)*(c + 1)**2
Suppose 2197*s**2 + 2199*s**2 - 3664*s - 4392*s**2 - 3668 = 0. Calculate s.
-1, 917
Let j be (-1)/((-2597)/(-651) - 4). Factor -5*k + 7*k**2 - 6*k**2 + 3 + j*k**3 - 92*k**3.
(k - 1)**2*(k + 3)
Let i(g) = g**3 - 7*g**2 - 9*g + 12. Let l be i(8). Factor -4*h + 3*h**2 + 13*h**2 + 28*h**2 - 96 + 52 + l*h**3.
4*(h - 1)*(h + 1)*(h + 11)
Determine j, given that 7*j - 9*j**2 - 405 + 25*j**2 - 13*j**2 + 59*j = 0.
-27, 5
Let d(v) be the third derivative of v**7/840 - 17*v**6/480 - 7*v**5/8 - 19*v**4/3 - 52*v**3/3 - 277*v**2. Solve d(o) = 0.
-4, -1, 26
Let k(f) be the second derivative of 0*f**3 + 0 + 0*f**2 - 1/18*f**4 - 61*f - 1/60*f**5. Let k(o) = 0. Calculate o.
-2, 0
Suppose 2*k = -5*o + 183, -2*o + 341 = 4*k + 3*o. Factor k*m**3 - 3*m + 22*m - 10 + m + 10*m**2 - 30 - 84*m**3.
-5*(m - 2)**2*(m + 2)
Let k = -2824 + 8474/3. Let q(u) be the third derivative of 0*u + 7/12*u**4 - 3/10*u**5 + k*u**3 - 12*u**2 + 0. Find a such that q(a) = 0.
-2/9, 1
Find r, given that -1/5*r**3 + 86/5*r**2 - 924/5*r + 2664/5 = 0.
6, 74
Suppose -4*j + 0 = 2*p - 10, j + 4*p = 6. Let 37*l**3 - 10*l - 47*l**2 + 13*l**3 + 77*l - 88*l**j + 8*l - 10 = 0. What is l?
1/5, 1/2, 2
Let g = 15 + -12. Suppose 2*l + w = g, l + 1 = -0*w - w. Factor 0*q**3 + 15*q**2 + 3*q + 1 - l + 9*q**3.
3*(q + 1)**2*(3*q - 1)
Suppose 0 = 1413*u - 1411*u - 32. Let m be 6/u - (-10)/(720/(-27)). Factor m*l + 0 + 2/9*l**4 - 8/9*l**3 + 8/9*l**2.
2*l**2*(l - 2)**2/9
Let l = -432382 + 8215272/19. Factor 0 - l*p**2 + 30/19*p**3 + 2/19*p - 18/19*p**4.
-2*p*(p - 1)*(3*p - 1)**2/19
Let n(i) be the third derivati