1 - 6/(72/15)). Let z(d) be the second derivative of -7*d + 0 - 1/6*d**4 + b*d**2 - 1/3*d**3. Suppose z(c) = 0. Calculate c.
-2, 1
Let n = 12/14981 - 6471948/194753. Let x = n - -464/13. Factor -6/13*u**2 - x + 4*u.
-2*(u - 8)*(3*u - 2)/13
Let z(m) = -m**4 - 31*m**3 - 108*m**2 - 8*m + 20. Let v(k) = k**4 + k**3 + 2*k - 5. Let q(c) = -4*v(c) - z(c). Determine g, given that q(g) = 0.
-3, 0, 12
Solve 384/5*x**2 - 6/5*x**5 + 741/5*x**4 + 0 - 756/5*x + 1887/5*x**3 = 0.
-2, -1, 0, 1/2, 126
Suppose 0 = 4*x + x - 100. Suppose 2*j + x = 3*n, -2*j + 5*j = -3*n. Find t such that -4*t**n - 83*t**5 + 39*t**5 + 40*t**5 = 0.
-1, 0
Let s be (-3 - 2*-1)/((-8)/744). Let m = 96 - s. Factor 0 - 2/9*v**m - 2/9*v + 4/9*v**2.
-2*v*(v - 1)**2/9
Suppose 0 = -15*a + 25*a - 80. Suppose a*u + u = 0. Find j such that 0*j**3 + 0 + 0*j**4 + u*j + 0*j**2 - 2/7*j**5 = 0.
0
Let i(u) = -u**3 - 5*u - 1. Let o(m) = 13*m**3 - 1430*m**2 - 2840*m + 8. Let j(k) = -8*i(k) - o(k). Factor j(c).
-5*c*(c - 288)*(c + 2)
Let d(p) = 3*p + 16. Let q be d(-6). Let u = 18 + q. Factor -8*j**2 + j + 6 - u*j + 4*j**3 - 4*j**2 + 5*j**3.
3*(j - 2)*(j + 1)*(3*j - 1)
Let s = -328 - -298. Let u be 1/3*(162/s + 6). Factor -u*b**2 + 1/5*b**3 - 1/5*b + 1/5.
(b - 1)**2*(b + 1)/5
Let c(h) be the first derivative of -2*h**6/45 + h**5/5 + 2*h**4/3 - 16*h**3/9 - 37*h + 72. Let v(p) be the first derivative of c(p). Find z such that v(z) = 0.
-2, 0, 1, 4
Factor 297851*s**4 - 297855*s**4 + 114*s**3 - 38*s**3 + 324*s - 396*s**2.
-4*s*(s - 9)**2*(s - 1)
Suppose 11*p - 15 = 51. Let l be p + (-22)/(-209) + -6. Suppose -l*m**2 + 0 + 6/19*m = 0. What is m?
0, 3
Determine r so that -173 - 3*r**3 + 485 - 69*r - 188 + 6*r**2 - 278 + 4*r**3 = 0.
-11, -2, 7
Suppose -44 - 111 - 29 = -46*r. Suppose 0 - 4/7*l**2 + 4/7*l**r + 0*l - 2/7*l**3 + 2/7*l**5 = 0. Calculate l.
-2, -1, 0, 1
Let c(r) be the third derivative of r**5/15 - 8*r**4/3 - 38*r**3 + 67*r**2 - 12*r. Factor c(y).
4*(y - 19)*(y + 3)
Let f(y) be the first derivative of -30 + 0*y + 5*y**5 - 5/6*y**6 + 0*y**2 - 10*y**4 + 20/3*y**3. Find k, given that f(k) = 0.
0, 1, 2
Let 198 + 60*g**2 + 3/2*g**3 - 519/2*g = 0. What is g?
-44, 1, 3
Let j = -39/100 - -189/100. Let r(u) be the first derivative of -2/5*u**5 + 0*u**3 - j*u**4 + 4*u**2 + 0*u - 18. Factor r(n).
-2*n*(n - 1)*(n + 2)**2
Let l(a) = a**2 + 11*a + 64. Let q be l(-12). Solve -2*t + q*t**4 - 132*t**3 + 36*t**2 + 2*t - 12*t**5 = 0.
0, 1/3, 3
Let f(t) be the second derivative of 4*t**3 + 5/3*t**4 + 2 + 1/5*t**5 - 26*t + 0*t**2. Solve f(d) = 0 for d.
-3, -2, 0
Let s(c) be the first derivative of -4*c**3/3 - 40*c**2 - 256*c + 609. Determine m so that s(m) = 0.
-16, -4
Let i(b) be the second derivative of 9*b**5/70 + 7291*b**4/21 + 281340*b**3 + 1312200*b**2/7 - 9108*b. Let i(d) = 0. Calculate d.
-810, -2/9
Suppose -l = -505*l + 1008. Factor 4*a**l + 0*a + 0 + 17*a**3 - 9/2*a**4.
-a**2*(a - 4)*(9*a + 2)/2
Let j = 31/46 + 4231/138. Factor 1/3*q**4 + 75 + 80*q + 16/3*q**3 + j*q**2.
(q + 3)**2*(q + 5)**2/3
Let x = -1417355 - -7086778/5. Factor x*u**2 - 1/10*u**3 - 12/5 + 19/10*u.
-(u - 8)*(u - 1)*(u + 3)/10
Let p(g) be the second derivative of g**6/432 - 17*g**5/48 - 65*g**4/36 - 24*g**3 - 80*g. Let n(f) be the second derivative of p(f). Solve n(b) = 0 for b.
-1, 52
Let u(r) = 3*r**3 - 36*r**2 - 69*r. Let w(c) = c**3 - c**2 + c. Suppose 6*n - 17*n - 66 = 0. Let t(q) = n*w(q) + u(q). Factor t(p).
-3*p*(p + 5)**2
Let o = -956222/3399 + -10/1133. Let w = -279 - o. Let w*z**3 - 2/3*z - 5/3*z**2 + 0 = 0. What is z?
-2/7, 0, 1
Let 0 + 3/2*s**4 - 255/2*s**3 + 258*s - 132*s**2 = 0. What is s?
-2, 0, 1, 86
Factor 141/2*z + 19881/4 + 1/4*z**2.
(z + 141)**2/4
Let q(f) be the first derivative of f**8/12600 + f**7/6300 - f**6/675 - f**5/225 + 7*f**3/3 + f + 127. Let x(s) be the third derivative of q(s). Factor x(p).
2*p*(p - 2)*(p + 1)*(p + 2)/15
Let b(k) = 62*k + 1366. Let m be b(-22). Solve -3/5*v**m + 0 - 6/5*v**3 - 3/5*v**4 + 0*v = 0.
-1, 0
Let y be 34/(-10) + 3 + 74/10. Suppose -12*n = -17 - y. Factor 2458*s**n + 2 - 2472*s**2 - 24*s + 6.
-2*(s + 2)*(7*s - 2)
Let c(z) = 4*z**2 - 7*z - 4*z**3 + 4 - 7*z**4 + 4*z**5 - z**4 + 2*z**5 - 7*z**5. Let k(u) = u**4 + u**3 + u - 1. Let b(j) = c(j) + 6*k(j). Solve b(y) = 0 for y.
-2, -1, 1
Let p(w) be the first derivative of w**5/25 + 31*w**4/10 + 1216*w**3/15 + 768*w**2 + 8412. Suppose p(o) = 0. Calculate o.
-30, -16, 0
Suppose -8*g = 2*g + 10*g - 22*g. Solve 4/7*a**5 + 0 + 0*a**4 - 4/7*a**3 + 0*a + g*a**2 = 0.
-1, 0, 1
Let l = 816 - 826. Let j be (l/14 - -1) + 46339/2086. Let -j - 15*o - 5/2*o**2 = 0. What is o?
-3
Let s(a) = -a**2 - 2. Let i(m) = 54 - 10*m**2 + 5*m + 2*m**2 - 50. Let t(r) = i(r) - 3*s(r). Factor t(c).
-5*(c - 2)*(c + 1)
Let x(h) be the second derivative of -h**6/120 - 13*h**5/80 - 11*h**4/48 + 13*h**3/24 + 3*h**2/2 - 2101*h. Factor x(t).
-(t - 1)*(t + 1)**2*(t + 12)/4
Let t(a) be the first derivative of a**4/26 + 794*a**3/39 + 791*a**2/13 + 790*a/13 + 2523. Suppose t(c) = 0. Calculate c.
-395, -1
Factor -62/5*v**2 + 0*v + 0 - 2/5*v**3.
-2*v**2*(v + 31)/5
Let o = 2655189/5992 + -3545/8. Let m = o - -1508/3745. What is q in -9/5*q**3 + 11/5*q**5 + 0 + 13/5*q**4 - 13/5*q**2 - m*q = 0?
-1, -2/11, 0, 1
Let y(b) be the first derivative of -2*b**5/15 - 30*b**4 - 2400*b**3 - 72000*b**2 + 6. Find w such that y(w) = 0.
-60, 0
Let n(h) be the first derivative of -h**6/3 + 42*h**5/5 + 23*h**4/2 - 14*h**3 - 22*h**2 - 531. Determine a so that n(a) = 0.
-1, 0, 1, 22
Let d = -1388 + 1389. Let j(p) = 4*p**3 + 3*p**2 - 12*p + 8. Let m be j(d). Factor -2/3*w**m - 23/6*w**2 + 0 + w.
-w*(w + 6)*(4*w - 1)/6
Let h(r) = -358*r**2 + r + 5. Let c(w) = 363*w**2 - 6. Let d(u) = 5*c(u) + 6*h(u). Solve d(z) = 0.
0, 2/111
Let m(g) be the third derivative of -g**8/112 + 257*g**7/280 - 167*g**6/5 + 4037*g**5/10 + 2420*g**4 - 2662*g**3 + 6450*g**2. Let m(t) = 0. What is t?
-2, 1/4, 22
Factor 0 - 386/5*w**2 - 1/5*w**3 - 37249/5*w.
-w*(w + 193)**2/5
Let q(a) be the third derivative of 0*a**4 - 1/60*a**5 + 8/9*a**3 + 108*a**2 + 1/720*a**6 + 0 + 0*a. Factor q(v).
(v - 4)**2*(v + 2)/6
Let p(g) be the second derivative of g**6/210 - 18*g**5/35 - 37*g**4/14 - 16*g**3/3 - 75*g**2/14 - 642*g. Suppose p(f) = 0. What is f?
-1, 75
Let v(f) be the third derivative of 41/21*f**4 + 4*f**2 - 1/210*f**5 - 6724/21*f**3 + 26 + 0*f. Solve v(r) = 0.
82
Suppose -4*a = 5*k - 167, 0*k = -3*a - 4*k + 124. Let x = 69 - a. Factor 3*u - u + x*u**2 + u**3 - u - 19*u**2.
u*(u + 1)**2
Let h = 33 - 13. What is f in 20*f**2 + 8*f**2 - 4143*f - h + 4147*f - 4*f**3 - 8*f**2 = 0?
-1, 1, 5
Let w be -6 + ((-1)/3)/((-52)/(-1560)) + (-19)/(-1). Factor 5/3*b**3 - 2/3 - 1/3*b**4 - w*b**2 + 7/3*b.
-(b - 2)*(b - 1)**3/3
Suppose -2*g + 207 = -403. Let h = 1528/5 - g. Factor -1/5*o**3 + 0*o**2 + h*o - 2/5.
-(o - 1)**2*(o + 2)/5
Let h(f) be the second derivative of f**4/18 + 97*f**3 + 872*f**2/3 - 5558*f. Factor h(s).
2*(s + 1)*(s + 872)/3
Let n be (-2030)/435*(-3)/14 + 3/(-4). Factor -1/4*f**3 + 1/2 - 1/2*f**2 + n*f.
-(f - 1)*(f + 1)*(f + 2)/4
Find q such that -1/2*q**2 + 63/2*q + 134 = 0.
-4, 67
Let d be (-312)/26 + 24 + -8. Let v(t) be the second derivative of -7*t - 3/4*t**5 + 19/12*t**d - 2*t**2 + 0 + 0*t**3. Factor v(u).
-(u - 1)*(3*u - 2)*(5*u + 2)
Let t(n) = n**2 - 14*n + 35. Let j be t(8). Let w(m) = -m**3 - 12*m**2 + 11*m - 21. Let v be w(j). Solve -5 - 25*s - v*s**2 + 20 - 45 = 0 for s.
-3, -2
Let a(s) be the first derivative of 44*s**3/3 - 3756*s**2 - 1434. Solve a(t) = 0 for t.
0, 1878/11
Factor 0*k**2 - 1/5*k**5 - 14/5*k**3 - 3*k**4 + 0*k + 0.
-k**3*(k + 1)*(k + 14)/5
Let r(j) be the third derivative of 6*j**2 - 3/10*j**5 - 14/3*j**4 + 0*j + 0 - 1/180*j**6 + 196/9*j**3. Find i, given that r(i) = 0.
-14, 1
Let g(a) be the first derivative of 2*a**5/15 - 3*a**4/2 + 16*a**3/3 - 20*a**2/3 + 1672. Find x such that g(x) = 0.
0, 2, 5
Let y(d) be the first derivative of -4*d**5/15 + 2*d**4 + 148*d**3/3 + 688*d**2/3 + 320*d - 1120. Let y(l) = 0. Calculate l.
-4, -1, 15
Let g = -402097 + 2010521/5. Factor -2/5*f**5 + 32/5*f**2 - 2*f + 16/5*f**4 - g*f**3 + 0.
-2*f*(f - 5)*(f - 1)**3/5
Let l(v) be the third derivative of 0 + 1/180*v**5 + 4*v + 1/2*v**3 - 2*v**2 - 1/12*v**4. Solve l(r) = 0 for r.
3
Let b = 107 - -366. Let s = b + -3305/7. Factor 4