**7/70 - 99*x**6/40 - 2497*x**5/20 - 2205*x**4/8 + 2401*x**3 - 1354*x**2. Find q, given that i(q) = 0.
-49, -2, 1
Let d(y) be the first derivative of 4*y**3 + 166*y**2 - 112*y + 1317. Let d(s) = 0. What is s?
-28, 1/3
Let r = -2/292679 + -1689050503/878037. Let o = -1923 - r. Let -32/3*a**3 + 1/6 - 8/3*a**2 + o*a = 0. What is a?
-1/4, 1/4
Suppose 2/3*f**5 - 294*f**2 + 322*f**3 + 0*f + 0 - 86/3*f**4 = 0. What is f?
0, 1, 21
Let i = -631471 - -8209125/13. Factor 24/13*b - i*b**2 - 22/13.
-2*(b - 11)*(b - 1)/13
What is u in -25686*u - 215*u**2 + 27726*u - 6426 + 846 + 5*u**3 = 0?
6, 31
Suppose 0 = -2*o + 6*r - 3*r + 17, 0 = -r + 3. Factor 245*z**3 - 420*z**2 - 135*z - 49 + 26 + o.
5*(z - 2)*(7*z + 1)**2
Let p(f) be the first derivative of -f**4 - 76*f**3 - 430*f**2 - 636*f + 785. Suppose p(a) = 0. Calculate a.
-53, -3, -1
Let z(w) be the first derivative of -4*w - 11/3*w**2 + 8/3*w**3 + 5/6*w**4 - 115. Factor z(g).
2*(g - 1)*(g + 3)*(5*g + 2)/3
Factor -185472*d**2 - 22*d**4 + 45161954*d - 45195810*d - 1770*d**3 + 5814*d**3.
-2*d*(d - 92)**2*(11*d + 2)
Solve 182 + 13 + r**2 + 119410*r - 119454*r = 0.
5, 39
Let m(r) be the first derivative of 11/5*r**2 - 87 + 97/15*r**3 + 144/25*r**5 + 1/5*r - 66/5*r**4. Determine v, given that m(v) = 0.
-1/12, 1
Let i(n) be the first derivative of -128*n**5/25 + 47*n**4/5 - 4*n**3 - 8590. Determine l, given that i(l) = 0.
0, 15/32, 1
Let v(q) be the first derivative of 168 + 155/2*q + 5/6*q**3 + 40*q**2. Factor v(j).
5*(j + 1)*(j + 31)/2
Let k be (44/(-396))/(4/7 + (-209)/231). Factor 13/3*m**4 + 128/3*m**2 + 20*m**3 + 128/3*m + k*m**5 + 16.
(m + 1)*(m + 2)**3*(m + 6)/3
Let m be (-33784)/(-16480) - -3*4/(-6). Let b(d) be the first derivative of 22 - m*d**5 + 1/16*d**4 + 1/2*d + 1/4*d**3 - 5/8*d**2. Find x, given that b(x) = 0.
-2, 1
Let k(f) = -19*f**3 - 894*f**2 - 35437*f - 155520. Let a(n) = -6*n**3 - 298*n**2 - 11812*n - 51840. Let h(q) = 13*a(q) - 4*k(q). Factor h(c).
-2*(c + 5)*(c + 72)**2
Let q(j) be the second derivative of -j**4/15 + 16*j**3/15 + 72*j**2 + 3*j - 121. Factor q(s).
-4*(s - 18)*(s + 10)/5
Let o = 354 + -374. Let f be 10/25 - 16/o. Factor -f*x**2 + 24/5 + 3*x**3 - 12*x.
3*(x - 2)*(x + 2)*(5*x - 2)/5
Let s(u) be the third derivative of 0*u**3 + 0*u + 0 - 1/1155*u**7 - 4/33*u**5 - 43*u**2 + 1/60*u**6 + 4/11*u**4. What is v in s(v) = 0?
0, 3, 4
Let h(g) be the second derivative of g**6/27 + 73*g**5/90 + 35*g**4/18 + 11*g**3/27 - 26*g**2/9 + 250*g. Let h(s) = 0. Calculate s.
-13, -1, 2/5
Let x(w) be the third derivative of -8*w + 1/140*w**6 - 17/210*w**5 - 9/28*w**4 + 0 - 1/3*w**3 - 7*w**2. What is v in x(v) = 0?
-1, -1/3, 7
Let u(r) be the second derivative of -r**4/42 + 95*r**3/21 - 94*r**2/7 - 5193*r. Factor u(w).
-2*(w - 94)*(w - 1)/7
Let t(m) be the second derivative of 19/8*m**4 + 160*m - 841/4*m**2 + 0 + 1/40*m**5 + 261/4*m**3. Solve t(q) = 0.
-29, 1
Suppose 44*q - 43*q + 11 = 2*d, 0 = 3*q + 15. Let h(m) be the second derivative of -m**d - 12*m - 1/4*m**4 + 0*m**2 + 0. Factor h(w).
-3*w*(w + 2)
Suppose 1/5*w**3 - 11/5*w**2 - 5*w - 13/5 = 0. What is w?
-1, 13
Let n = 2 - -1. Suppose -n*y + 3 = -3. Factor -9*q**2 - 3*q**3 + 5*q**y + 6 - 2*q**2 + 3*q.
-3*(q - 1)*(q + 1)*(q + 2)
Let -30/7*s**4 - 8/7*s - 76/7*s**2 + 14*s**3 + 16/7 = 0. Calculate s.
-2/5, 2/3, 1, 2
Let u be 4/(-14)*(-2856)/3400. Let o(s) be the second derivative of 0 - 2*s + 16/15*s**4 - 21/25*s**5 - 8/15*s**3 + 0*s**2 + u*s**6. Factor o(h).
4*h*(h - 1)*(3*h - 2)**2/5
Suppose 4174 - 1546 = 876*a. Factor 1/2*f**a - 3/4*f**2 + 1/4*f + 0.
f*(f - 1)*(2*f - 1)/4
Determine g so that 184/11 + 2/11*g**2 - 96/11*g = 0.
2, 46
Let k(s) be the third derivative of s**8/336 + 18*s**7/35 + 1363*s**6/40 + 6103*s**5/6 + 22253*s**4/2 + 58956*s**3 + 4*s**2 + 151. Factor k(c).
(c + 3)**2*(c + 34)**3
Let q = 30469349/7508 - 16233/4. Let t = q + 30014/16893. Let -28/3*m**3 - 4/3 - t*m**4 - 76/9*m - 44/3*m**2 = 0. Calculate m.
-3, -1, -1/4
Factor 0*r**3 - 3490*r**2 - 311 - 4*r**3 - 2019 + 2524*r + 3242*r**2 + 58.
-4*(r - 8)*(r - 1)*(r + 71)
Let p(z) be the first derivative of 5*z**6/6 - 23*z**5/4 + 25*z**4/3 + 10*z**3 + 8*z + 46. Let b(c) be the first derivative of p(c). Let b(k) = 0. Calculate k.
-2/5, 0, 2, 3
Factor 2/7*x**2 - 136/7*x + 512/7.
2*(x - 64)*(x - 4)/7
Let l(r) be the second derivative of r**7/126 - 8*r**6/45 + 22*r**5/15 - 85*r**4/18 - 25*r**3/18 + 125*r**2/3 + 1322*r. What is q in l(q) = 0?
-1, 2, 5
Let o(x) be the first derivative of -x**5/15 + x**4/12 + 4*x**3/9 - 2*x**2/3 - 235. Factor o(v).
-v*(v - 2)*(v - 1)*(v + 2)/3
Let u = 1295 - 2233. Let j = u + 938. Factor 1/3*x**3 - 5/3*x + j - 4/3*x**2.
x*(x - 5)*(x + 1)/3
Let i(s) be the first derivative of -207 - 1936/3*s - 1588/9*s**3 - 616*s**2 - 4/15*s**5 + 14*s**4. Solve i(p) = 0.
-1, 22
Let b = -28457 + 141817/5. Let v = 94 + b. Factor -8/5*l**3 + v*l**4 + 2/5 + 12/5*l**2 - 8/5*l.
2*(l - 1)**4/5
Let z be (-10 - 0/1) + 15. Let l(i) be the second derivative of 0*i**2 - 3*i**3 - 3/20*i**z + 0 - 5/4*i**4 + 41*i. Find t, given that l(t) = 0.
-3, -2, 0
Suppose 20 = 3*r - 4*h, -h + 10 = -6324*r + 6327*r. Solve 2/3*y - 1/2*y**r + 4/3*y**2 + 1/6*y**3 + 0 = 0.
-1, -2/3, 0, 2
Let p(b) = -b**4 + b**3 + 3*b**2 + b. Suppose -33*u - 110 = 55. Let q(m) = m**3 - m. Let l(z) = u*p(z) + 5*q(z). Factor l(f).
5*f*(f - 2)*(f + 1)**2
Let g(o) be the first derivative of 106 - 1/27*o**3 + 16/9*o - 5/6*o**2. Find k such that g(k) = 0.
-16, 1
Factor -1/7*h**2 + 225/7 - 16/7*h.
-(h - 9)*(h + 25)/7
Determine h so that -2/11*h**3 - 34/11*h + 20/11*h**2 + 16/11 = 0.
1, 8
Let n(i) be the second derivative of -11*i**7/1890 + 2*i**6/135 + i**5/30 + 41*i**4/12 - 56*i - 1. Let f(x) be the third derivative of n(x). Factor f(c).
-4*(c - 1)*(11*c + 3)/3
Let t(s) = -3*s - 61. Let f be t(-21). Let 0*v - 503*v**f + 5*v + 493*v**2 + 15 = 0. What is v?
-1, 3/2
Let b(v) = -36*v**4 - 25617*v**3 - 4585986*v**2 - 4186548*v - 760416. Let f(s) = 4*s**3 + s**2 + s. Let p(j) = b(j) - 12*f(j). Find w, given that p(w) = 0.
-356, -2/3, -1/4
Let u be (-51*70/(-4165))/((-108)/(-56)). Factor -u*q**2 - 2704/9 - 208/9*q.
-4*(q + 26)**2/9
Let q be (8 + 7)/(-15)*(-1 - 2). Let y(w) be the first derivative of 1/15*w**3 + 0*w**2 + 0*w - 1/15*w**6 + q + 0*w**4 - 3/25*w**5. Factor y(r).
-r**2*(r + 1)**2*(2*r - 1)/5
Let j(z) = -3*z**2 + 4. Let b be j(2). Let w be 396/14 - (-9)/(252/b). Determine r so that -112*r**2 + 52*r**2 + 11*r**3 - w*r - 4 - 16*r**4 - 63*r**3 = 0.
-1, -1/4
Let m = 610 + -584. Factor -u**5 - 14*u**2 - 7*u**3 - 13*u**2 + m*u**2 + 8*u**3 + u**4.
-u**2*(u - 1)**2*(u + 1)
Let o(p) be the third derivative of p**7/525 + 7*p**6/25 + 83*p**5/150 + p**2 - 2*p - 673. Let o(i) = 0. What is i?
-83, -1, 0
Suppose -17*r + 1570 = -22*r. Let m = 318 + r. Find w such that 0*w - 4/7*w**3 + 1/7*w**m + 0 + 3/7*w**2 = 0.
0, 1, 3
Let w(d) be the first derivative of -d**6/720 + d**5/120 + d**4/16 - 44*d**3 + 71. Let b(j) be the third derivative of w(j). Factor b(s).
-(s - 3)*(s + 1)/2
Let t(j) = -j**3 - 6*j**2 - 29*j - 252. Let c be t(-7). Let v(f) be the second derivative of 12*f + 1/5*f**5 + 1/3*f**4 + c*f**3 + 0*f**2 + 0. Solve v(h) = 0.
-1, 0
Let g(z) = -7*z**4 + 6*z**3 - z**2 - 3*z - 5. Let c(o) = -11*o**4 + 9*o**3 - o**2 - 5*o - 8. Let w(k) = -5*c(k) + 8*g(k). What is j in w(j) = 0?
0, 1
Let l(b) be the second derivative of 0*b**4 - 1/25*b**6 + 4/15*b**3 - 24 + b + 0*b**2 - 7/50*b**5. Let l(q) = 0. What is q?
-2, -1, 0, 2/3
Let m = -33 + 114. Let i = 84 - m. Factor 111*c**3 - 6 + 6*c**2 + 3*c**5 + 15*c - 6*c - 123*c**i.
3*(c - 1)**3*(c + 1)*(c + 2)
Let p(b) be the first derivative of -b**3/15 - 284*b**2/5 - 567*b/5 + 3127. Let p(g) = 0. Calculate g.
-567, -1
Suppose 7*k = 78 + 230. Suppose k = -5*f + 54. Suppose -4*m**2 - 3*m + 4*m**f - 3*m**2 = 0. Calculate m.
-1, 0
Suppose 0 = -m - 6*m - 2*a + 36, 5*m + a = 21. Factor 1/7*n**5 - 5/7*n**4 - 8/7*n + 4/7*n**m + 0 + 6/7*n**3.
n*(n - 2)**3*(n + 1)/7
Suppose -24 = -4*t + 4*u, 19*u + 6 = t + 21*u. Factor -t*n - 2/5*n**2 - 28/5.
-2*(n + 1)*(n + 14)/5
Let l(f) be the first derivative of f**6/1080 + 2*f**5/45 + 8*f**4/9 + f**3 - f - 110. Let x(z) be the third derivative of l(z). Factor x(n).
(n + 8)**2/3
Let s = -5047259/8 + 630910. Find p, given that -21/8*p**4 + 0 - 9/4*p + s*p**2 + 33/8*p**3 - 15