20 + s**4 + s**3/3 + 1576*s**2. Determine u, given that c(u) = 0.
-2, -2/5, -1/9
Let s(p) be the third derivative of -p**7/630 - 67*p**6/120 + 203*p**5/180 + 67*p**4/24 - 101*p**3/9 + p**2 - 81*p. Solve s(i) = 0 for i.
-202, -1, 1
Let u(p) be the first derivative of 0*p - 1/15*p**5 - 76 + 4/3*p**3 + 0*p**4 - 8/3*p**2. Suppose u(s) = 0. Calculate s.
-4, 0, 2
Let h be 2*-3*(-95)/285. Let f(t) be the second derivative of -1/78*t**4 - 2/39*t**3 + 14*t + 0*t**h + 0. Find d such that f(d) = 0.
-2, 0
Let t(m) be the first derivative of -m**8/336 - m**7/14 - 191*m**3/3 - 110. Let c(w) be the third derivative of t(w). Suppose c(y) = 0. Calculate y.
-12, 0
Let d be (-6)/(-81) - (-39725)/37800. Let v(q) be the third derivative of -3/5*q**5 - 1/2*q**3 - 2*q**6 - 38*q**2 + d*q**4 + 96/35*q**7 + 0*q + 0. Factor v(s).
3*(3*s + 1)*(4*s - 1)**3
Let w(f) = -f + 2. Let l be 1 - ((-6)/(-21) - (-20)/28). Let y be w(l). Suppose 399*o**2 + 30*o - 24 - 359*o**y + 14*o = 0. What is o?
-3/2, 2/5
Let k(w) = -28*w - 473. Suppose 26*z + 149 = -293. Let s be k(z). Factor -22/3*d + 4/3*d**2 + 10/3 + 20/3*d**s + 2/3*d**5 - 14/3*d**4.
2*(d - 5)*(d - 1)**3*(d + 1)/3
Let t(x) be the third derivative of -x**5/480 - 23*x**4/64 - 643*x**2 + 3. Solve t(b) = 0 for b.
-69, 0
Let t(n) = -539*n**2 - 1020*n + 62. Let p(x) = 270*x**2 + 510*x - 30. Let m(g) = 9*p(g) + 5*t(g). Find w, given that m(w) = 0.
-2, 4/53
Let 4*s**3 - 5*s**5 - 82*s**3 + 9*s**3 + 65*s**2 + 19*s**3 - 85*s**3 + 75*s**4 = 0. What is s?
0, 1, 13
Let s be 6/(-24) - 183/(-12). Factor -18 - 5*b**5 + 29*b**4 - 10*b**3 + 23 - 44*b**4 + s*b + 10*b**2.
-5*(b - 1)*(b + 1)**4
Let n(c) be the second derivative of -c**8/2016 + c**7/420 - c**6/240 + c**5/360 - 12*c**2 + c - 5. Let j(u) be the first derivative of n(u). Factor j(l).
-l**2*(l - 1)**3/6
Determine h so that 4*h**3 + 51 + 176*h**2 + 75 + 202 + 632*h - 132*h = 0.
-41, -2, -1
Suppose 3*f - 16 - 3 = -g, 3*f = 2*g + 7. Let 60 + 354*r**4 + 39*r**4 - 7*r - 777*r**2 - 29*r - 36*r**f - 252*r**3 = 0. Calculate r.
-1, -1/3, 1/4, 2, 10
Let r(v) be the second derivative of 2 - 1/45*v**4 + 3/5*v**2 - 5*v - 17/45*v**3. Determine m so that r(m) = 0.
-9, 1/2
Let v(l) be the first derivative of -15 - 1/75*l**5 - 13*l**2 + 0*l - 1/30*l**4 + 0*l**3. Let x(q) be the second derivative of v(q). What is o in x(o) = 0?
-1, 0
Suppose 4*n + 8 = -4*v + 12, -5*v - 10 = 2*n. Let b be (-1 - 0)*(-2242 - -3). Determine p, given that 4*p**2 + n - 2244*p**3 + 11*p**2 + b*p**3 - 15*p = 0.
1
Let w(b) = -b**2 - 28*b - 113. Let d be w(-23). Factor 200 + 25 + 11*t**d - 540*t + 107*t**3 + 3*t**4 - 53*t**3 + 75 + 172*t**2.
3*(t - 1)**2*(t + 10)**2
Let t(c) = -c**4 - 2*c**3 - c**2. Let m(b) = -10*b**4 - 17*b**3 + 22*b**2 + 71*b + 42. Let j(d) = m(d) - 9*t(d). Determine a, given that j(a) = 0.
-3, -2, -1, 7
Let p(d) = 19*d**3 + 2*d**2 + 5*d - 4. Let h be p(2). Suppose 10*c**2 + h*c + 2*c**3 + 69*c**2 + 346*c - 15*c**2 = 0. Calculate c.
-16, 0
Suppose -1007*f + 4*a = -1002*f - 67, -68 = -f + 5*a. Factor -2/5*n**f - 4/5 + 2/5*n + 4/5*n**2.
-2*(n - 2)*(n - 1)*(n + 1)/5
Let y = -224 + 235. Factor -25 + 23 + 30 + 10*w - w**2 + y.
-(w - 13)*(w + 3)
Let f(a) = 55*a + 554. Let s(b) = b**3 - 8*b**2 + 13*b - 12. Let n be s(2). Let g be f(n). Determine h so that 8/3*h**2 - 8/3*h**3 + 0 + 0*h + 2/3*h**g = 0.
0, 2
Suppose 4*p = -58 + 34. Let d = -9/4 - p. Factor 3/2*v**2 - d*v**3 - 3/2 + 15/4*v.
-3*(v - 1)*(v + 1)*(5*v - 2)/4
Let c = 966 + -1008. Let x be (c - -43)*(1 + -1)/2. Factor x*s**3 - 1/2*s + s**4 - s**2 + 0 + 1/2*s**5.
s*(s - 1)*(s + 1)**3/2
Let s(d) be the second derivative of 81/10*d**5 - 2*d - 36 - 3/7*d**7 - 116/3*d**3 + 3*d**4 + 24*d**2 + 2/15*d**6. Suppose s(p) = 0. What is p?
-2, 2/9, 1, 3
Let r(a) be the second derivative of -32/9*a**3 + 49/90*a**4 + 17/150*a**5 + 0 - 1/45*a**6 + 20/3*a**2 - 9*a - 1/315*a**7. Determine c so that r(c) = 0.
-5, 1, 2
Let o(q) = -36*q - 1507. Let b be o(-42). Let t(p) be the first derivative of b*p**2 + 2/3*p**3 + 8*p + 24. Factor t(i).
2*(i + 1)*(i + 4)
Let n = -39 - -46. Let l be n/((-14)/(-6)) - 1. Factor 20*x**2 - 4*x**3 + 2*x - 2*x - 32*x**l.
-4*x**2*(x + 3)
Let z(l) be the second derivative of l**6/10 - 39*l**5/10 + 155*l**4/4 + 91*l**3 + 11*l - 16. Factor z(x).
3*x*(x - 14)*(x - 13)*(x + 1)
Suppose 14*w - 11*w + 94*w = 0. Let u(v) be the first derivative of -8 + 1/2*v**2 + 1/6*v**6 + 0*v - 1/2*v**4 + w*v**5 + 0*v**3. Factor u(n).
n*(n - 1)**2*(n + 1)**2
Let h(t) be the second derivative of -t**6/30 - 39*t**5/20 - 509*t**4/12 - 815*t**3/2 - 1575*t**2 + 5400*t. Suppose h(n) = 0. What is n?
-15, -7, -2
Let q be 6/((1 + 1)/1). Let b = -112 - -116. Factor 4*w**b + 15*w**q + 16*w**3 - 35*w**3.
4*w**3*(w - 1)
Factor -35*h + 50 + 7/5*h**3 - 1/5*h**4 + 3*h**2.
-(h - 5)**2*(h - 2)*(h + 5)/5
Let b(z) be the second derivative of 3*z**6/10 + 19*z**5/20 - 4*z**4/9 - 26*z**3/9 - 8*z**2/3 - 4505*z. Suppose b(d) = 0. Calculate d.
-2, -2/3, -4/9, 1
Let a(t) be the second derivative of -179*t**4/4 - 178*t**3 + 6*t**2 - 3501*t. Factor a(m).
-3*(m + 2)*(179*m - 2)
Let c = 2204/615 + -244/123. Let x(h) be the second derivative of 24*h - 2/5*h**3 + 0 - c*h**2 - 1/30*h**4. Factor x(o).
-2*(o + 2)*(o + 4)/5
Let b = 184770 - 1662929/9. Solve b*j**2 + 0 - 4/9*j = 0.
0, 4
Factor 1/6*g**4 + 0 + 0*g + 1/2*g**2 + 2/3*g**3.
g**2*(g + 1)*(g + 3)/6
Let i(l) be the first derivative of -5/6*l**6 + 0*l + 15/4*l**4 + 47 + 0*l**3 + 0*l**2 - 2*l**5. Let i(m) = 0. What is m?
-3, 0, 1
Let b = 1/3855 - -2567/11565. Factor 2/9*s**2 + b*s**4 - 2/3*s**3 - 4/9 + 2/3*s.
2*(s - 2)*(s - 1)**2*(s + 1)/9
Let d be (560 - 563)*((-14)/15 + (-2)/5). Let o(s) be the third derivative of 4/33*s**3 + 17*s**2 + 1/33*s**d + 1/330*s**5 + 0 + 0*s. Factor o(w).
2*(w + 2)**2/11
Let g = -117 - -120. Factor 0*w**g - 716*w + 766*w + 2*w**3 - 20*w**2.
2*w*(w - 5)**2
Let t(p) be the first derivative of p**4/30 + 32*p**3/45 + 16*p**2/5 + 496. Determine h, given that t(h) = 0.
-12, -4, 0
Let p(m) = -15*m**4 + 122*m**3 - 27*m**2 - 68*m. Let j(w) = -w**3 + w**2 + 4*w. Let q(k) = -3*j(k) + p(k). Determine f, given that q(f) = 0.
-2/3, 0, 1, 8
Let k(l) be the second derivative of -3*l**5/50 - 3*l**4/20 + l**3/5 - 15296*l. Determine d, given that k(d) = 0.
-2, 0, 1/2
Suppose 1/6*a**3 - 70/3*a + 16/3*a**2 + 24 = 0. Calculate a.
-36, 2
Let z = -3023 - -3025. Solve 1/3*q**z + 5/3*q + 4/3 = 0.
-4, -1
Let x(r) be the first derivative of 2/3*r**6 - 7/3*r**3 - 13/5*r**5 - 11 + 0*r + 1/2*r**2 + 15/4*r**4. Factor x(f).
f*(f - 1)**3*(4*f - 1)
Let d(h) = h**4 - 43*h**3 - 175*h**2 - 197*h - 78. Let w(y) = 4*y**4 - 127*y**3 - 526*y**2 - 590*y - 234. Let v(j) = -13*d(j) + 4*w(j). Factor v(g).
3*(g + 1)**2*(g + 2)*(g + 13)
Let r(f) be the first derivative of -f**3 + 0*f - 3*f**2 - 3/32*f**4 - 62. Factor r(q).
-3*q*(q + 4)**2/8
Factor s**5 - 24862*s**2 - 91*s + 19*s + 24922*s**2 - 11*s**4 + 22*s**3.
s*(s - 6)**2*(s - 1)*(s + 2)
Let -448/11*v - 58/11*v**2 - 392/11 - 2/11*v**3 = 0. Calculate v.
-14, -1
Factor 60*q**3 + 58*q**3 - 476*q**2 + 1952*q + 60*q**3 - 1968 - 182*q**3.
-4*(q - 2)**2*(q + 123)
Let l(d) = -d**2 + 3717*d - 22264. Let y be l(6). Let s be 1958/99 + 2/3. Let 98/9*h**3 + 32/9 + 136/9*h + y*h**4 + s*h**2 = 0. What is h?
-2, -1, -4/9
Let h(v) = 2*v**4 - 3*v**3 - v**2 - 2*v - 2. Let d(g) = 90*g**3 - 223*g**2 + 86*g - 2. Let o(c) = -3*d(c) + 3*h(c). Factor o(y).
3*y*(y - 44)*(y - 2)*(2*y - 1)
What is u in 2/3*u**4 - 638/3*u + 484/3 + 38/3*u**3 + 38*u**2 = 0?
-11, 1, 2
What is t in 24/5*t - 4*t**2 - 4/5 = 0?
1/5, 1
Let v = 1609/52640 - 3/1504. Let a(j) be the second derivative of -1/21*j**4 + 0*j**2 + 0*j**3 - 13*j - v*j**5 + 0. Factor a(g).
-4*g**2*(g + 1)/7
Suppose -3 = -267*m + 17 - 20. Solve -2/11*k**4 + 2/11*k**2 - 14/11*k**5 + m*k + 0 + 14/11*k**3 = 0.
-1, -1/7, 0, 1
Let j(v) = -436*v - 36188. Let d be j(-83). Find c, given that d + 0*c + 1/2*c**3 + 9*c**2 = 0.
-18, 0
Let x(h) = -3*h + 25. Let a(j) = 4*j - 26. Let p(i) = 6*a(i) + 7*x(i). Let d be p(-5). What is k in 4*k**2 + 0*k**3 + 114 - 3*k - 116 - 2*k**d + 3*k**3 = 0?
-1, -1/2, 1, 2
Suppose 20*f = 22679 - 279. Let m = -1120 + f. Factor 2/5*i**4 - 6/5 + 16/5*i - 12/5*i**2 + m*i**3.
2*(i - 1)**3*(i + 3)/5
Let h(y) be the third derivative of -1/630*y**7 - 2/9*y**3 + 0*y + 1/60*y**5 - 83*y**2 +