 derivative of -15/7*c**2 - 4 - 19/14*c**3 + 3/140*c**5 - 2/7*c**4 + 2*c. Let k(l) = 0. Calculate l.
-1, 10
Factor 9701*z**3 - 897*z - 945*z**2 + 56*z + 1900 - 119*z - 9696*z**3.
5*(z - 190)*(z - 1)*(z + 2)
Let f(c) be the third derivative of 19*c**8/112 - 419*c**7/35 + 1703*c**6/40 - 242*c**5/5 + 21*c**4/2 - 9592*c**2. Suppose f(i) = 0. Calculate i.
0, 2/19, 1, 42
Let g be (70/14)/((-20)/(-24)) - 21/4. Let h(c) be the first derivative of 18 + 2*c**3 - g*c**4 + 0*c + 9/2*c**2. Let h(v) = 0. Calculate v.
-1, 0, 3
Let y(j) be the second derivative of j**5/45 - 10*j**4/9 + 406*j**3/27 - 196*j**2/3 + 7757*j. Let y(d) = 0. Calculate d.
2, 7, 21
Determine n, given that 108 - 865*n**4 - 8*n**3 + 24*n**2 - 6*n**3 + 1725*n**4 + 144*n - 2*n**3 - 864*n**4 = 0.
-3, -1, 3
Let v(z) be the first derivative of 95 + 11/4*z**4 - 6/5*z**5 + 0*z + 1/12*z**6 + 49/4*z**2 + 14*z**3. Suppose v(f) = 0. Calculate f.
-1, 0, 7
Suppose 3 + 112*c**2 + 12*c**3 + 109/3*c = 0. What is c?
-9, -1/6
Let l(j) = 4*j**2 + 3906*j - 1912983. Let d(y) = -30*y**2 - 27340*y + 13390886. Let r(b) = -6*d(b) - 44*l(b). Let r(w) = 0. Calculate w.
978
Suppose -385442/3 - 1756/3*i - 2/3*i**2 = 0. Calculate i.
-439
Let d = -547767 - -2738844/5. Find c such that -9/5*c**3 + 3/5*c**4 + d*c - 6/5 + 3/5*c**2 = 0.
-1, 1, 2
Let x(h) be the first derivative of h**3/15 - 8*h**2/5 - 36*h/5 + 213. Solve x(g) = 0.
-2, 18
Solve 2299/5*b**3 + 408/5*b**4 - b**5 + 696/5 + 4314/5*b**2 + 3124/5*b = 0 for b.
-2, -1, -2/5, 87
Let s = 19239 - 115433/6. Let n(b) be the second derivative of -1/18*b**6 + 0*b**3 + 40*b + s*b**5 - 5/36*b**4 + 0*b**2 + 0. Factor n(l).
-5*l**2*(l - 1)**2/3
Let z(j) = 4*j**3 - 16*j**2 + 48*j - 30. Let r(x) = -x**3 - x**2 - 1. Let y = -120 - -67. Let u = 55 + y. Let h(f) = u*z(f) + 4*r(f). Factor h(n).
4*(n - 4)**2*(n - 1)
Let k(g) = -733*g**5 - 5589*g**4 - 1902*g**3 + 9788*g**2 - 5476*g + 900. Let w(b) = -b**5 - 3*b**3 + b**2 - b + 1. Let c(a) = k(a) - 4*w(a). Factor c(h).
-(h + 2)*(h + 7)*(9*h - 4)**3
Suppose -6*n - 13 + 31 = 0. Factor -29*w + 7*w**n - w**3 - 18*w**2 + 2*w**4 + 39*w.
2*w*(w - 1)**2*(w + 5)
Let h(u) = -1188*u**4 - 6512*u**3 - 8480*u**2 + 1564*u - 12. Let r(z) = z**4 - z**3 + 3*z + 1. Let b(s) = h(s) + 12*r(s). Factor b(v).
-4*v*(6*v - 1)*(7*v + 20)**2
Let f(w) = 2*w**2 + w. Let m(u) = 17*u**2 - 494*u + 12500. Suppose -5*k - 5*h = 30, -8*k - 24 = -4*k + 2*h. Let x(n) = k*f(n) + m(n). Factor x(s).
5*(s - 50)**2
Let k(b) be the first derivative of -3*b**5/100 - 7*b**4/20 + 17*b**3/10 - 27*b**2/10 + 94*b + 88. Let c(l) be the first derivative of k(l). Solve c(m) = 0.
-9, 1
Let y be 1/(-2)*-2*3. Let i = 11630 + -11627. Let -3*a**5 + 6*a**2 + 2 - 5*a**y + i*a - 11*a**4 + 9*a**2 + 5*a - 6 = 0. Calculate a.
-2, -1, 1/3, 1
Let r(k) = -6*k + 1. Let a(j) = 6*j + 1. Let d(s) = -3*a(s) - 2*r(s). Let g = 1 - 2. Let o(u) = u**2 + u + 1. Let h(n) = g*o(n) + d(n). Factor h(c).
-(c + 1)*(c + 6)
Let h(z) be the first derivative of 2*z**3/15 + 2526*z**2/5 + 3190338*z/5 - 8984. Factor h(w).
2*(w + 1263)**2/5
Let a(s) = 6*s + 78. Let g be a(-14). Let k be g - (1008/27)/(-4). Solve -k*z**2 - 2*z - 4/3*z**3 + 0 = 0 for z.
-3/2, -1, 0
Let j = -1111 - -1146. Let a be (1/(-21))/(j/(-15) - -2). Factor -1/7*s**2 + 1/7*s**4 + a*s - 1/7*s**3 + 0.
s*(s - 1)**2*(s + 1)/7
Let f(y) be the first derivative of -y**5/25 - 4*y**4/5 + 29*y**3/3 - 178*y**2/5 + 276*y/5 + 1129. Find g, given that f(g) = 0.
-23, 2, 3
Let u(o) = 2*o**4 - 264*o**3 + 792*o**2 - 758*o + 246. Let y(z) = -z**3 + 5*z**2 - 1. Let q(j) = u(j) - 6*y(j). Factor q(x).
2*(x - 126)*(x - 1)**3
Let b(q) = -46*q**2 - 1114*q + 160172. Let d(p) = 8*p**2 - 3*p + 1. Let v(z) = -b(z) - 6*d(z). Suppose v(l) = 0. Calculate l.
283
Let z = -252 + 280. Factor 23*s**2 + s**3 + 21*s - 25*s**2 - z*s - 4.
(s - 4)*(s + 1)**2
Let o(b) = 469*b + 20638. Let n be o(-44). Factor 128/11 + 2/11*k**n + 32/11*k.
2*(k + 8)**2/11
Let t be (-16038)/2916*3/(-22). Suppose 0*n + 3/2*n**4 + 0 + 3/4*n**5 - 3/2*n**2 - t*n**3 = 0. Calculate n.
-2, -1, 0, 1
Suppose z - 24 = -5*u, 170*u - z + 15 = 172*u. Let o(q) be the first derivative of 15*q**4 - 48 + 0*q - 2*q**2 + 22/3*q**u. Determine m, given that o(m) = 0.
-1/2, 0, 2/15
What is c in 28*c**3 + 80/3*c**2 - 28*c + 2/3*c**4 - 82/3 = 0?
-41, -1, 1
Let r = 141 - 121. Suppose 17*k = 31 + r. Find w such that 43*w**k + 47*w**2 + 2*w**4 - 63*w**3 + 3*w**2 = 0.
0, 5
Let t = 448 - 445. Let -25*m**2 - 35*m**2 - 21*m**4 + 49*m**5 + 294*m**t - 4*m - 416*m**3 - 4*m = 0. Calculate m.
-1, -2/7, 0, 2
Suppose 0 - 2/7*x**4 + 52/7*x + 2/7*x**2 - 52/7*x**3 = 0. Calculate x.
-26, -1, 0, 1
Factor 3/5*i**2 - 594/5 - 291/5*i.
3*(i - 99)*(i + 2)/5
Let k(g) be the first derivative of -g**5/15 + g**4/4 + g**3/3 - 7*g**2/6 - 2*g - 3020. Suppose k(a) = 0. What is a?
-1, 2, 3
Factor 0*a**3 - 250006*a + 248196*a + 1596 + 2*a**3 + 212*a**2.
2*(a - 7)*(a - 1)*(a + 114)
Suppose -208*f + 191*f - 2040 = 0. Let n = 122 + f. Find d, given that 0*d + 2/3*d**n - 8/3 = 0.
-2, 2
What is f in 44603*f**5 - 1480*f**3 - 80 + 1035*f**2 + 40*f - 22364*f**5 + 545*f**4 - 22299*f**5 = 0?
-1/4, 1/3, 1, 4
Let q(b) be the first derivative of b**6/270 - 5*b**5/18 + 3*b**3 + b**2/2 - 65. Let m(s) be the third derivative of q(s). Factor m(l).
4*l*(l - 25)/3
Let b(z) be the second derivative of -z**6/100 + 7*z**5/150 - z**4/30 + 63*z**2 + 2*z + 3. Let q(s) be the first derivative of b(s). Factor q(r).
-2*r*(r - 2)*(3*r - 1)/5
Let d(i) = -220*i**3 - 395*i**2 - 250*i + 75. Let n(p) = p**3 + p**2 + 3*p - 2. Let t(b) = d(b) + 30*n(b). Solve t(v) = 0 for v.
-1, 3/38
Let q = -249 - -264. Solve 7*u**2 + q*u**2 + 15*u**2 + 7*u**2 + u - u**3 - 40*u**2 - 4 = 0.
-1, 1, 4
Let u(h) be the third derivative of 1849*h**8/112 + 1462*h**7/7 + 4533*h**6/8 + 889*h**5/2 - 245*h**4/2 + 12*h**3 - 3551*h**2. What is t in u(t) = 0?
-6, -1, 2/43
Let s(m) = 5*m - 28. Let w be s(11). Factor -253*i + 196*i**2 - 30 + 130 - w*i.
4*(7*i - 5)**2
Let s(x) be the first derivative of -2/3*x**6 + 19 - 4*x**5 - 16/3*x**3 + 0*x**2 + 0*x - 8*x**4. What is u in s(u) = 0?
-2, -1, 0
Let b(x) = -21*x**2 + x + x**5 + 21*x**2. Let m(w) = -3*w**3 + 3*w + 2*w**5 + 10*w**5 - 6*w**5. Let g(r) = 3*b(r) - m(r). Factor g(j).
-3*j**3*(j - 1)*(j + 1)
Let g(z) be the third derivative of z**6/240 + z**5/60 - 7*z**4/48 + z**3/3 + 235*z**2 + 3*z + 1. Factor g(i).
(i - 1)**2*(i + 4)/2
Factor 425 + 704 - 253*m**2 - 719 - 169*m**2 + 5*m + 12*m**2 - 5*m**3.
-5*(m - 1)*(m + 1)*(m + 82)
Let w(s) be the second derivative of 0*s**6 - 3/16*s**3 + 0 - 104*s - 1/4*s**4 + 1/112*s**7 - 9/80*s**5 + 0*s**2. Determine h, given that w(h) = 0.
-1, 0, 3
Factor -2070*b**3 - 123*b**2 + 181*b - b**4 + 1055*b**3 + 1038*b**3 - 80.
-(b - 16)*(b - 5)*(b - 1)**2
Determine c, given that -131*c**3 - 14745*c**2 + 28039*c**2 - 20638*c**2 + 57348*c - c**4 + 416*c**3 - 2*c**4 = 0.
0, 18, 59
Factor 40*w**3 - 241*w**4 + 100*w**2 + 446*w**4 + 0*w - 201*w**4 + 0*w.
4*w**2*(w + 5)**2
Let k be ((-661770)/(-76))/(-43)*6/(-20). Let z(c) be the first derivative of -k*c - 1/4*c**3 + 27/4*c**2 + 39. Find a, given that z(a) = 0.
9
Let x(u) be the first derivative of -1/4*u**4 + 128 + 8/3*u - 1/9*u**3 + 5/3*u**2. What is w in x(w) = 0?
-4/3, -1, 2
Let p(m) = -5*m**4 + 43*m**3 + 269*m**2 + 419*m + 171. Let n(z) = 8*z**4 - 85*z**3 - 538*z**2 - 839*z - 349. Let t(j) = -3*n(j) - 5*p(j). Factor t(v).
(v + 1)**2*(v + 6)*(v + 32)
Let t(j) be the second derivative of 2*j**6/75 - 4*j**5/5 - 43*j**4/15 - 44*j**3/15 + 1007*j. Factor t(h).
4*h*(h - 22)*(h + 1)**2/5
Let u(j) be the third derivative of j**6/180 + 7*j**5/60 - 2*j**4/3 - 46*j**3/3 + 48*j**2 - j. Let r(k) be the first derivative of u(k). Factor r(i).
2*(i - 1)*(i + 8)
Let i(b) = 8*b**2 + b - 1. Let r be i(1). Suppose 2*d = -g + 9, -5*g + 7 = -r. Factor 8*o - 4 + 6*o**2 - 8 - o**4 - 4*o**d + 4 - o**4.
-2*(o - 1)**2*(o + 2)**2
Let s(p) be the second derivative of p**7/315 + p**6/30 + 4*p**5/45 + 91*p**2/2 - 119*p. Let j(k) be the first derivative of s(k). Let j(w) = 0. Calculate w.
-4, -2, 0
Factor 1/2*i**3 - 129/10*i + 1/10*i**4 - 18 - 17/10*i**2.
(i - 5)*(i + 3)**2*(i + 4)/10
Let r(f) be the third derivative of f**8/84 - 202*f**7/315 + 23*f**6/15 + 84*f**5/5 - 844*f**4/9 + 512*f**3/3 + 9*f**2 + 55*f. What is x in r(x) = 0?
-3, 2/3, 2,