rd derivative of -4*y**2 - 1/168*y**8 + 0*y + 0*y**4 + 0*y**3 - 1/30*y**5 - 1/20*y**6 - 1/35*y**7 - 15. What is b in p(b) = 0?
-1, 0
Let b(p) be the second derivative of p**4/28 - p**3/2 + 9*p**2/7 - 7*p - 16. Factor b(o).
3*(o - 6)*(o - 1)/7
Let d(k) be the second derivative of -k**5/10 - 24*k**4 - 284*k**3/3 + 15312*k. Determine l so that d(l) = 0.
-142, -2, 0
Factor 23 - 2*h**2 - 267*h + 81 + 70 + 11*h**2.
3*(h - 29)*(3*h - 2)
Let v = 3/124 - 1051/38316. Let n = 172/103 + v. Solve n*h - 2 - 1/3*h**2 = 0 for h.
2, 3
Let n(y) = y**2 + 15*y + 33. Let w(h) = h - 19. Let z(u) = 5*u - 89. Let d(i) = 14*w(i) - 3*z(i). Let j be 4/(-6)*1*3. Let g(t) = j*n(t) - 6*d(t). Factor g(m).
-2*(m + 6)**2
Let f = 52 + -48. Let m(i) = -i - 1. Let o(d) = -3*d**2 + 16*d + 4. Let s(j) = f*m(j) + o(j). Factor s(q).
-3*q*(q - 4)
Let t(v) be the first derivative of -v**4/38 - 170*v**3/57 - 112*v**2 - 1368*v + 419. Factor t(x).
-2*(x + 9)*(x + 38)**2/19
Let p(a) be the third derivative of -a**5/15 - 97*a**4/48 - a**3 + 1648*a**2. Factor p(z).
-(z + 12)*(8*z + 1)/2
Let s(z) be the first derivative of -5/4*z**4 - 260 - 25/9*z**3 + 0*z - 1/18*z**6 + 3/5*z**5 + 0*z**2. Factor s(c).
-c**2*(c - 5)**2*(c + 1)/3
Let b(w) be the third derivative of -w**7/315 - w**6/27 - 7*w**5/90 + 2*w**4/9 + 20*w**3/27 + 425*w**2. Solve b(n) = 0.
-5, -2, -2/3, 1
Let z(f) be the second derivative of -f**7/2520 + f**6/180 + 35*f**4/12 - 34*f. Let q(j) be the third derivative of z(j). Factor q(d).
-d*(d - 4)
Let f be (-2)/11*56826/(-6888). Suppose 4*a - 4*v = 0, -2*a - 5*v - 1 = -8. Factor -f*r - 1/2*r**2 - a.
-(r + 1)*(r + 2)/2
Factor 3*d - 3/7*d**3 - 18/7*d**2 + 180/7.
-3*(d - 3)*(d + 4)*(d + 5)/7
Suppose -245 = -3*g - 263, 14 = 4*b + g. Let f(v) be the second derivative of -1/30*v**4 - 16*v + 1/15*v**3 + 0 - 1/50*v**b + 1/5*v**2. Factor f(o).
-2*(o - 1)*(o + 1)**2/5
Let o be 4 - ((-22)/44 + ((-15)/10 - -4)). Let g(p) be the third derivative of 0*p - 1/70*p**5 + 0 + 22*p**o - 1/280*p**6 + 0*p**4 + 0*p**3. Factor g(j).
-3*j**2*(j + 2)/7
Solve 1097 + 3*b**5 - 66*b**2 - 108*b**3 - 233 + 121*b + 27*b**3 + 159*b + 296*b = 0.
-3, -2, 4
Let u be ((-3)/(-18))/((-50)/(-675)*108/6). Factor -1/2*j + u*j**3 + 1 - 3/4*j**2 + 1/8*j**4.
(j - 2)*(j - 1)*(j + 2)**2/8
Let w(a) be the first derivative of 2/7*a**2 + 0*a - 2/7*a**3 - 1/14*a**4 + 6/35*a**5 - 1/21*a**6 + 72. Let w(j) = 0. Calculate j.
-1, 0, 1, 2
Let c(d) be the first derivative of -85*d**2 + 1445*d + 20 + 5/3*d**3. Let c(p) = 0. What is p?
17
Let o(u) = -u**3 - 2*u**2 + 6*u - 3. Let n be o(-4). Suppose n*j - 11 = 9. Solve 88/5*l + 314/5*l**2 + 162/5*l**j + 8/5 + 396/5*l**3 = 0 for l.
-1, -2/9
Let m(x) = 6*x**2 + 107*x - 14. Let q be m(-18). Suppose g = 3*d + 14, g - 6*d - 10 = -q*d. Factor 2/3*h**g + 10/9 - 2*h + 2/9*h**3.
2*(h - 1)**2*(h + 5)/9
Let 733*s**2 + 75*s**2 + 117*s**2 + 551*s + 385*s**3 - 245*s**4 - 176*s = 0. Calculate s.
-5/7, 0, 3
Let a = 497 + -474. Suppose v + 5*b + a = 10*b, -3*v + 26 = 4*b. Suppose -15 - 3/5*u**v - 6*u = 0. What is u?
-5
Let 5*t**2 + 82/5*t - 1/5*t**3 + 56/5 = 0. What is t?
-2, -1, 28
Let v = 484 + -473. Let a(c) = -3*c**3 - 6*c**2 + 9*c + 32. Let g(u) = -16*u**3 - 31*u**2 + 44*u + 161. Let z(f) = v*a(f) - 2*g(f). Factor z(w).
-(w - 3)*(w + 2)*(w + 5)
Let b(t) be the third derivative of t**6/40 - 39*t**5/20 - 21*t**4/4 + 40*t**3 - 81*t**2 + 3*t. Factor b(w).
3*(w - 40)*(w - 1)*(w + 2)
Let l be ((-53504)/228)/((-20)/(-54)). Let p = 634 + l. What is h in p*h - 2/5*h**3 + 16/5*h**2 - 16/5 = 0?
-1, 1, 8
Let i be 4/48*(-1530)/(-255). Let 7/2 - i*x + 1/2*x**3 - 7/2*x**2 = 0. What is x?
-1, 1, 7
Suppose 28*v = -14*v + 3822. Suppose -159 = -17*z - v. Determine a so that -14/9*a - 2*a**2 - 4/9 - 2/9*a**z - 10/9*a**3 = 0.
-2, -1
Suppose 1904 = -4*h - 64*h. Let n be (-112)/1568 - 2/h. Determine s, given that 1/2*s**5 + n*s**2 + 0*s + 0 + 25/2*s**3 + 5*s**4 = 0.
-5, 0
Let o be (-544)/(-170) + 52/65. Solve 136/11*l + 152/11*l**2 + 32/11 - o*l**4 - 10/11*l**5 + 14/11*l**3 = 0.
-4, -1, -2/5, 2
Suppose 0 = -2*f - 0*p - p + 7, 2*f - 13 = -3*p. Determine v, given that -32*v**3 + 160*v**3 - 390*v**f - v**5 - 90 + 4*v**5 + 88*v**3 - 48*v**4 + 309*v = 0.
1, 3, 10
Let t(p) be the first derivative of 0*p - 1/2*p**4 - 14/3*p**3 + 67 + 0*p**2. Let t(j) = 0. Calculate j.
-7, 0
Let t(a) be the second derivative of 486*a**2 + 1/10*a**6 + 0 + 9/10*a**5 - 27/4*a**4 + 126*a - 54*a**3. Find f, given that t(f) = 0.
-6, 3
Let q = 1/20159 + 221737/241908. Let a(b) be the second derivative of 10*b - 1/40*b**5 + 7/24*b**4 - q*b**3 + 0 + 5/4*b**2. Factor a(f).
-(f - 5)*(f - 1)**2/2
Find m such that 1268*m**2 + 319*m**2 + 2397*m**3 - 528*m + 255*m**2 + 27*m**4 = 0.
-88, -1, 0, 2/9
Let b = 811091/10 + -405543/5. Find v, given that b*v**2 + 11/2*v**4 - 14*v + 14*v**3 - 6 = 0.
-2, -1, -6/11, 1
Let h(m) = m**3 + 9*m**2 + 209*m + 2543. Let d be h(-11). Factor 3/4*t**d - 105/2*t + 3675/4.
3*(t - 35)**2/4
Let r be ((-3)/(-24))/(686/84 + -8). Let j(c) be the second derivative of -1/16*c**4 - r*c**2 - 24*c + 0 + 3/8*c**3. Factor j(t).
-3*(t - 2)*(t - 1)/4
Let o be (-42)/(-91) - 3907/(-13). Suppose -306 = -n - o. Factor -10/13*t**3 - 8/13*t**4 + 0 - 4/13*t**2 + 0*t - 2/13*t**n.
-2*t**2*(t + 1)**2*(t + 2)/13
Let a be (-168)/(-7) + -15 + -7. Let l(w) be the second derivative of -3 - w - 4*w**a - 1/2*w**4 + 8/3*w**3. Factor l(m).
-2*(m - 2)*(3*m - 2)
Let q(v) be the second derivative of v**7/189 + v**6/135 - v**5/90 - v**4/54 - 503*v. Factor q(n).
2*n**2*(n - 1)*(n + 1)**2/9
Let t be (-16856)/(-30272) + (-4)/22. What is x in 0 - 9/2*x + t*x**2 = 0?
0, 12
Let -13*n**3 + 21*n - 245*n**4 - 306*n**3 + 0*n**2 + 46*n**3 - 7728 + 7726 - 5*n**2 = 0. Calculate n.
-1, -2/5, 1/7
Let w(t) = -18*t**2 + 14*t + 1. Let v = 44 - 48. Let h(l) = -l**2 - l - 1. Let y(j) = v*h(j) + 4*w(j). Factor y(n).
-4*(n - 1)*(17*n + 2)
Let q(u) be the first derivative of u**6/20 - 2*u**5/15 - u**4/12 + 2*u**3/3 - 4*u**2 - 14. Let m(b) be the second derivative of q(b). Factor m(h).
2*(h - 1)**2*(3*h + 2)
Factor -2*v**3 - 88*v + 301 + 41*v**2 - 221 - 13*v**2.
-2*(v - 10)*(v - 2)**2
Let n be (-8)/28*-2*(-117)/(-228). Let a = -1/133 + n. Find y such that -2/7*y**2 + 2/7*y**3 + a - 2/7*y = 0.
-1, 1
Let d(o) be the third derivative of -o**7/245 - o**6/140 + 3*o**5/7 - 14*o**2. Factor d(p).
-6*p**2*(p - 5)*(p + 6)/7
Let y(w) = 2*w**2 - 14*w + 99. Let r(p) = -4*p**2 + 12*p - 100. Let x(c) = -3*r(c) - 4*y(c). Factor x(m).
4*(m - 3)*(m + 8)
Determine b, given that -1551*b**2 - 1900*b + 16*b**3 + 6*b**2 - 517*b**2 - 5534*b**2 = 0.
-1/4, 0, 475
Factor -5 + 5*u**2 + 1/5*u - 1/5*u**3.
-(u - 25)*(u - 1)*(u + 1)/5
Suppose 23*g + 223 = -7. Let c be ((78/20)/(-13))/(2/g). Find p such that -c + 1/2*p**2 + p = 0.
-3, 1
Let h = -779 + 780. Let t be h - (9 + (-64)/8). Factor t + 2/9*c**4 - 2/3*c**2 + 0*c**3 - 4/9*c.
2*c*(c - 2)*(c + 1)**2/9
Determine k so that -30735*k**2 + 1320*k**3 + 27039*k**2 - 549 - 100*k**4 - 558*k - 3058*k - 219 = 0.
-2/5, 6, 8
Suppose -300 = -47*v - 28*v. Let l(y) be the first derivative of -2*y**2 + v*y - 4/3*y**3 - 2 + y**4. Factor l(i).
4*(i - 1)**2*(i + 1)
Let q = 25 - 23. Suppose q*u - 2 = 2. Factor -5*g + 3*g + 20*g**u - 3*g.
5*g*(4*g - 1)
Let t(r) = -19*r**2 - 170*r - 175. Let n(h) = -16*h**2 - 170*h - 175. Let x(i) = 8*n(i) - 7*t(i). Solve x(a) = 0 for a.
-1, 35
Factor 2*u**4 + 0*u + 24/5*u**3 + 0 + 8/5*u**2.
2*u**2*(u + 2)*(5*u + 2)/5
Let s(q) be the third derivative of 0 + 2*q + 0*q**3 + 1/8*q**4 - q**2 + 1/20*q**5. Factor s(j).
3*j*(j + 1)
Let a = -54 - -60. Suppose 3*v + 12 = a*v - 3*u, -4*v = 3*u - 23. Find h such that -36*h**2 + 12*h**4 + 25*h + h**v - 6*h**3 + 2*h + 2*h**5 = 0.
-3, 0, 1
Let s(a) = -a**3 - 20*a**2 + a + 23. Let r be s(-20). Let l(c) = 2*c - 2. Let g be l(r). Determine v so that -1014*v**3 + g*v**5 + 1013*v**3 - 3*v**5 = 0.
-1, 0, 1
Factor 8448/7*l + 15488/7 + 360/7*l**2 + 4/7*l**3.
4*(l + 2)*(l + 44)**2/7
Let t be ((-4962)/(-5))/((-208)/520). Let b = 2484 + t. Factor 0*o - 6/7*o**b + 0 + 4/7*o**2 + 2/7*o**4.
2*o**2*(o - 2)*(o - 1)/7
Let u(a) be the second derivative of a**5/70 - 2*a**4/21 - 8*a - 110. Factor u(c).
2*c**2*(c - 4)/7
Let p be 75/8 - 67116/25568. Factor p*f - 1/4*f**3 - 3*f**2 - 7/2.
-(f - 1)**2*(f + 14)/4
Determine c so that -8*c**4 + 1851*c - 1