v + 0 + 15/4*v**2 = 0.
-2, -1, -1/3, 0
Let l(s) be the second derivative of -49/6*s**4 - 1/42*s**7 - 31/10*s**5 + 0 + 17/30*s**6 + 41*s + 21/2*s**3 + 81/2*s**2. Solve l(p) = 0.
-1, 1, 9
Let i be -11 + (0 - -6) - ((-16)/12 + -5). Let x(s) be the first derivative of 0*s**2 + i*s**3 + 19 + 0*s - s**4. Suppose x(a) = 0. Calculate a.
0, 1
Suppose 44*f = -70 + 246. Let a(t) be the third derivative of 11*t**2 + 0 - 1/330*t**5 + 0*t + 1/44*t**f - 2/33*t**3. Factor a(q).
-2*(q - 2)*(q - 1)/11
Suppose 106*d - 109*d = -t - 192, d + 4*t - 12 = 0. Factor 140*k**2 + 10/3 + 125/3*k + d*k**3.
5*(k + 2)*(6*k + 1)**2/3
Let l(t) = -532*t**2 - 2661*t + 22. Let f(w) = -w - 2. Let y(q) = -9*f(q) + l(q). Factor y(j).
-4*(j + 5)*(133*j - 2)
Let w(v) be the second derivative of 0*v**2 + 0 + 25*v - 3/8*v**3 + 1/6*v**4 + 1/80*v**5. Let w(s) = 0. What is s?
-9, 0, 1
Let o(m) be the first derivative of m**4/12 - 124*m**3/3 + 7688*m**2 - 1906624*m/3 + 327. Factor o(l).
(l - 124)**3/3
Let r(d) be the second derivative of d**6/6 + 3*d**5/4 - 25*d**4/6 - 20*d**3 + 1810*d. Factor r(p).
5*p*(p - 3)*(p + 2)*(p + 4)
Let y = 12115 - 12113. Let u(g) be the first derivative of 1/6*g**4 + 2*g - 4 - 2/3*g**3 - 1/3*g**y. Suppose u(z) = 0. What is z?
-1, 1, 3
Let p(c) be the first derivative of 3*c**5/5 + 3*c**4/2 - 60*c**3 + 276*c**2 - 480*c + 1225. Factor p(u).
3*(u - 4)*(u - 2)**2*(u + 10)
Let h(x) be the third derivative of x**7/245 - 22*x**6/35 + 491*x**5/70 + 22*x**4/7 - 492*x**3/7 - 25*x**2 - 101*x. Solve h(f) = 0.
-1, 1, 6, 82
Let u(w) be the second derivative of 8*w**6/45 + 17*w**5/10 + 29*w**4/9 + 5*w**3/3 + 13345*w. Determine f so that u(f) = 0.
-5, -1, -3/8, 0
Let r = 40904/7 - 5834. Let u = r - 128/21. Solve u*z**3 + 0 - 28/9*z**2 - 2/9*z = 0 for z.
-1/15, 0, 1
Let c(o) be the first derivative of 3*o**5/100 + 4*o**4/5 + 29*o**3/10 + 21*o**2/5 - 158*o - 241. Let k(f) be the first derivative of c(f). Factor k(i).
3*(i + 1)**2*(i + 14)/5
Find q such that -63*q**2 - 8*q**3 - 849*q**2 - 232*q**2 - 487*q**2 - 2776*q + 1856 - 237*q**2 = 0.
-232, -2, 1/2
Let l be (-16)/(-88) + (-96808)/(-198). Let p = -489 + l. Find s such that -2/9*s**2 + 2/9 - 1/9*s**3 + p*s = 0.
-2, -1, 1
Let t be (0/(-2) - 0)/(-33 - -35). Let i(b) be the third derivative of b**2 + 1/6*b**4 + t*b + 0 + 1/60*b**5 + 1/2*b**3. Factor i(a).
(a + 1)*(a + 3)
Let m = -508 + 517. Suppose -m = -263*k + 260*k. Factor -7/2*z**k + 4*z**4 + 0*z - 1/2*z**5 + 0*z**2 + 0.
-z**3*(z - 7)*(z - 1)/2
Let q = 7/1472 + 2923/4416. Let t(o) be the second derivative of -q*o**3 + 26*o + 0 + 1/3*o**4 - 12*o**2. Determine x, given that t(x) = 0.
-2, 3
Let a(t) be the third derivative of t**6/8 + 65*t**5/12 - 5*t**4 - 110*t**3/3 + 748*t**2. Find d such that a(d) = 0.
-22, -2/3, 1
Let w(c) = -13*c**2 + 95*c - 8. Let o be w(8). Let p be ((-32)/o)/((-69)/(-90)). Suppose 16/23 - 10/23*a**3 - p*a**2 - 2/23*a**4 + 8/23*a = 0. Calculate a.
-2, 1
Let q(f) be the first derivative of 0*f - 27 + 23/9*f**4 - 32/27*f**3 + 3*f**6 + 1/9*f**2 + 32/5*f**5. Determine v, given that q(v) = 0.
-1, 0, 1/9
Suppose 27*c - 7*c + 205 = 265. Let q(u) be the first derivative of 2*u**2 - 18 + u**4 + 0*u + 8/3*u**c. Factor q(v).
4*v*(v + 1)**2
Let t be (-8)/(-14) - (49/833 + (-9)/(-714)). Find x, given that t*x**5 - x**3 + 0 - 3/4*x**4 + 3/4*x**2 + 1/2*x = 0.
-1, -1/2, 0, 1, 2
Let f(p) be the third derivative of 17/42*p**4 + 0 + 1/60*p**6 + 0*p**3 - 121/210*p**5 - 14*p + 3*p**2. Factor f(h).
2*h*(h - 17)*(7*h - 2)/7
Let 456*b**2 + 168*b + 159*b**4 - 216*b**2 + 173*b**3 + 261*b**2 - 3*b**5 + 322*b**3 = 0. What is b?
-1, 0, 56
Let u(q) be the first derivative of 21*q**4 - 165*q**3 - 27*q**2 - 1156. Factor u(r).
3*r*(r - 6)*(28*r + 3)
Let n(c) = 15*c**4 - 75*c**3 - 410*c**2 - 950*c - 750. Let t(s) = -4*s**4 + s**2 + 5*s. Let a(r) = n(r) + 5*t(r). Determine q so that a(q) = 0.
-5, -3, -2
Factor -2/7*s**2 - 184/7 - 54/7*s.
-2*(s + 4)*(s + 23)/7
Let q(k) = 108*k - 17 - 13*k**2 + 29 - 20 - 32 - 4. Let n(z) = -14*z**2 + 106*z - 44. Let w(i) = -3*n(i) + 4*q(i). Factor w(o).
-2*(o - 11)*(5*o - 2)
Suppose 11*y - 861 = -718. Let a(x) = -52*x + 678. Let j be a(y). Solve -2/17*s**j + 2/17*s + 12/17 = 0 for s.
-2, 3
Let n(s) be the first derivative of s**6/450 + 2*s**5/5 + 30*s**4 + 2*s**3/3 + 17*s**2/2 - 96. Let r(o) be the third derivative of n(o). Factor r(w).
4*(w + 30)**2/5
Let l be (((-216)/60)/((-231)/(-70)))/(-6). What is g in 0*g + 2/11*g**4 + 0*g**3 + 0 - l*g**2 = 0?
-1, 0, 1
Let d(t) be the third derivative of -t**7/6720 + 11*t**6/1920 + 25*t**4/24 - 2*t**2 - 19. Let n(v) be the second derivative of d(v). Factor n(y).
-3*y*(y - 11)/8
Let a(v) = -v**2 + 3*v - 122. Let q be a(-21). Let l = q + 629. Factor 0 - 1/2*g**2 + 2*g**4 + 5/4*g**5 + 0*g + 1/4*g**l.
g**2*(g + 1)**2*(5*g - 2)/4
Let c(k) be the second derivative of k**6/15 + 103*k**5 + 514*k**4 + 3082*k**3/3 + 1027*k**2 + 8331*k. Solve c(f) = 0.
-1027, -1
Let z(m) be the second derivative of -3*m**5/20 + m**4/12 + 2*m**3/3 + 3*m**2/2 + 12*m. Let x be z(-1). Factor 1 - 4*k + 7*k - x*k**3 - 4 + 3*k**2.
-3*(k - 1)**2*(k + 1)
Let d = 32 + -22. Let k(p) = p**2 - d*p**2 + 67*p - 53*p. Let t(m) = -55*m**2 + 85*m. Let n(l) = 25*k(l) - 4*t(l). Find a, given that n(a) = 0.
0, 2
Solve 27/5*w**3 + 5*w**4 - 5*w**2 - 1/5*w - 26/5*w**5 + 0 = 0.
-1, -1/26, 0, 1
Let c = 11113 + -11111. Let v(d) be the first derivative of -30 - d**3 - 13/4*d**4 + 4*d + 8*d**c - 4/5*d**5. Determine m, given that v(m) = 0.
-2, -1/4, 1
Let y(o) = 5*o**2 - 15*o + 12. Let m be ((-3)/(-6))/((-2)/12). Let l(p) = 6*p**2 - 16*p + 10. Let s(w) = m*l(w) + 4*y(w). Factor s(i).
2*(i - 3)**2
Suppose -c = -3*n, -4*c - 37 = n - 37. Let k(o) be the second derivative of n - 12*o - 1/170*o**5 + 5/51*o**3 + 3/17*o**2 + 1/102*o**4. Factor k(w).
-2*(w - 3)*(w + 1)**2/17
Let k be 2/(-17) + (57600/1785)/12. Factor 24/7*n**3 + 4/7*n + 0 - 22/7*n**2 + k*n**4.
2*n*(n + 2)*(3*n - 1)**2/7
Let u(i) be the third derivative of -i**6/30 + 14*i**5/15 - 11*i**4/6 - 52*i**3/3 - 2*i**2 + 21*i. Find c such that u(c) = 0.
-1, 2, 13
Let l(p) = p**3 + p**2 - p + 19. Let x be l(0). Let z = -185 - -189. Let -10*y - x*y**2 + 32*y + z - 7*y**2 = 0. What is y?
-2/13, 1
Let m(z) be the second derivative of z**6/30 - 59*z**5/20 + 238*z**4/3 - 392*z**3 + 18*z + 2. Suppose m(d) = 0. What is d?
0, 3, 28
Let m(l) be the second derivative of 1/3*l**2 + 0 + 0*l**4 - 1/15*l**5 + 2/9*l**3 - 74*l - 1/45*l**6. Solve m(j) = 0.
-1, 1
Suppose 20*p = 22*p + l + 49, 5*l + 95 = -4*p. Let s be ((2 - 2)/2)/(25/p). Factor s - 3/4*j**2 + 3/4*j.
-3*j*(j - 1)/4
Let n = 46769/2 - 23384. Let -c - n*c**2 - 1/2 = 0. Calculate c.
-1
Let l be (-9)/99 - (-1044)/(-616). Let f = 131/42 + l. Factor 1/3*j**3 + 4/3*j**2 + f*j + 0.
j*(j + 2)**2/3
Let c(m) = 2*m**2 - 36*m - 272. Let i(b) = -b + 2. Let v(z) = -c(z) - 6*i(z). Factor v(g).
-2*(g - 26)*(g + 5)
Let l = -112187 - -785335/7. Factor 6/7*q + 0 + 8/7*q**3 - l*q**2.
2*q*(q - 3)*(4*q - 1)/7
Suppose 0 = 2*j - u - 1, 4*j + u - 8569 = -8558. Factor 183/5*t + 0 + 3/5*t**j.
3*t*(t + 61)/5
Let s(j) be the first derivative of j**3/2 + 837*j**2/4 + 417*j + 904. Factor s(a).
3*(a + 1)*(a + 278)/2
Let a(s) = -17*s + 51. Let o be a(4). Let z be -1 + (935/(-33))/o. Factor z + j + 1/3*j**2.
(j + 1)*(j + 2)/3
Let c(o) = 4*o**2 - 12*o + 16. Let z(v) = -33. Let g(b) = 20. Let w(t) = 5*g(t) + 3*z(t). Let q(u) = -c(u) + 8*w(u). Solve q(h) = 0 for h.
1, 2
Let h(x) = 85*x**2 + 20*x - 20. Let j be h(1). Suppose -j = -4*f - 85. Suppose 0*m + 1/3*m**5 - 4/3*m**4 + 0*m**2 + f + m**3 = 0. What is m?
0, 1, 3
Let t(z) be the second derivative of 13*z**7/3 - 2011*z**6/15 + 2099*z**5/10 + 31*z**4/6 - 70*z**3 + 34*z - 92. Let t(f) = 0. What is f?
-2/7, 0, 5/13, 1, 21
Let p(n) be the first derivative of -8/15*n**5 + 4/9*n**6 + 65/18*n**3 - 2/3*n + 1/3*n**2 - 65/24*n**4 - 6. Solve p(c) = 0.
-2, -1/4, 1/4, 1, 2
Let o(f) be the second derivative of 5*f**4/12 - 940*f**3/3 + 88360*f**2 + 518*f + 1. Factor o(k).
5*(k - 188)**2
Solve 28900 + 46394*q**3 + 46386*q**3 + 58480*q + 1364*q**2 - 92772*q**3 = 0.
-85, -1/2
Let m(b) = 4*b**3 + 76*b**2 - 172*b + 4. Let n(h) = -h**2 + 1 + 8*h - 13*h + h + h + 4*h. Let s(i) = -m(i) + 4*n(i). Factor s(u).
-4*u*(u - 2)*(u + 22)
Let l be (-132)/48*(304/(-22) + (-30)/(-165)). Determi