 h(g) be the third derivative of g**5/15 - 29*g**4 - 354*g**3 + 6*g**2 - 53. Solve h(f) = 0 for f.
-3, 177
Let n(a) be the second derivative of -a**6/30 + 13*a**5/4 - 272*a**4/3 + 512*a**3/3 - 3802*a. Solve n(g) = 0 for g.
0, 1, 32
Suppose 4/5*x**3 + 36/5*x**5 + 0*x**2 + 0 + 24/5*x**4 + 0*x = 0. Calculate x.
-1/3, 0
Let x = -7318 - -15613/2. Let g = x + -487. Factor g*s**2 - 9/2 + 3*s.
3*(s - 1)*(s + 3)/2
Suppose -340*h + 96 - 155 = 31*h - 801. Factor -7/3*g - 2 - 1/3*g**h.
-(g + 1)*(g + 6)/3
Let y(u) be the second derivative of -7/48*u**4 - 62*u - 2/3*u**3 - 3/2*u**2 + 0 - 1/80*u**5. Factor y(b).
-(b + 2)**2*(b + 3)/4
Let b(o) = -2*o**2 - 28*o - 67. Let c be b(-9). Let t(k) be the first derivative of -2/7*k**3 + c - 2/35*k**5 - 3/14*k**4 + 0*k - 1/7*k**2. Solve t(m) = 0.
-1, 0
Let d(c) = 2*c**3 - 15*c**2 - 3*c - 41. Let f be d(8). Let b(p) = 2*p**2 + p. Let l(x) = 55*x**2 + 85*x. Let r(a) = f*l(a) + 30*b(a). What is i in r(i) = 0?
0, 11
Suppose 4624 = 13*f - 1109. Let -55*d**2 + 1005*d**3 + 80*d**5 - 400*d - 265*d**4 - f*d**4 + 186*d**4 - 300*d**2 - 60 = 0. What is d?
-1/4, 2, 3
Let c(q) be the third derivative of -q**5/10 + 317*q**4/12 + 106*q**3/3 + 3428*q**2 + q. Solve c(p) = 0 for p.
-1/3, 106
Let s be (4/10)/((-48)/(-1000)*10). Let n(j) be the third derivative of -s*j**3 + j**2 + 0*j - 1/12*j**5 - 5/12*j**4 + 0. Find d such that n(d) = 0.
-1
Let g(o) be the first derivative of 5*o**4/2 + 272*o**3/3 + 23*o**2 - 216*o + 12064. Find s such that g(s) = 0.
-27, -1, 4/5
Let k = 35981/50386 - -9/50386. Let -6/7*c - 1/7*c**4 + k + 6/7*c**3 - 4/7*c**2 = 0. Calculate c.
-1, 1, 5
Let f be 0 - (3 + -3) - 1254/(-399). Let -f*c - 1/7*c**2 - 3 = 0. What is c?
-21, -1
Let n(j) = -11*j**3 - 3*j**2 - 3*j - 1. Let y be n(-2). Suppose 83*u = y*u + 6. Factor 3 - u - 132*v**2 + 129*v**2.
-3*v**2
Let y(m) be the first derivative of 1/6*m**3 - 3/4*m**2 + 1/10*m**5 - 167 - m + 3/8*m**4. Factor y(o).
(o - 1)*(o + 1)**2*(o + 2)/2
Let k be 3/(5 + 88/12 - 12) + (-31)/4. Suppose 0*z - 375/4*z**3 + 0 - 75/4*z**4 - k*z**5 - 625/4*z**2 = 0. Calculate z.
-5, 0
Let h(u) be the third derivative of u**5/20 + 3*u**4/4 - 7*u**3/2 + 57*u**2. Factor h(w).
3*(w - 1)*(w + 7)
Let m(b) = -1579*b**2 + 4556*b + 137. Let y(q) = -2105*q**2 + 6080*q + 183. Let v(o) = 9*m(o) - 7*y(o). Factor v(z).
4*(z - 3)*(131*z + 4)
Let d(w) be the second derivative of w**5/170 - 100*w**4/51 + 787*w**3/51 - 588*w**2/17 - 946*w - 5. Factor d(l).
2*(l - 196)*(l - 3)*(l - 1)/17
Let r be (-66)/(-297) - 1074/(-27). Solve 14/5*t**5 + 0 - 18/5*t**4 - 108/5*t**3 + r*t**2 - 48/5*t = 0 for t.
-3, 0, 2/7, 2
Let l(f) = 13*f**2 - 5468*f - 1485143. Let d(x) = 10*x**2 - 5465*x - 1485140. Let q(h) = 6*d(h) - 5*l(h). Factor q(b).
-5*(b + 545)**2
Let d(f) be the second derivative of 2*f**6/15 - f**5/5 - 10*f**4/3 - 16*f**3/3 + f + 149. Factor d(r).
4*r*(r - 4)*(r + 1)*(r + 2)
Let p(s) = -65*s**2 - 385*s + 375. Suppose -213*b + 220*b = 21. Let g(v) = 8*v**2 + 48*v - 47. Let c(q) = b*p(q) + 25*g(q). Determine k, given that c(k) = 0.
-10, 1
Factor 1/6*k**2 + 0 + 65/6*k.
k*(k + 65)/6
Let m(o) = o**2 - 13*o + 18. Let t(p) = -2*p + 2. Let f(w) = -m(w) + 2*t(w). Let x be f(3). What is l in -10/19*l**3 - 6/19*l + 0 - 14/19*l**2 - 2/19*l**x = 0?
-3, -1, 0
Suppose -s - 16 = -5*n - 35, 205 = 5*s - 3*n. Factor s*c**2 + 6*c**3 + c**3 + 4*c**3 - 42*c - 13*c**3.
-2*c*(c - 21)*(c - 1)
Factor -2300*l**2 + 3919347 + 2087*l + 1484*l + 2482*l + 2303*l**2 + 805*l.
3*(l + 1143)**2
Let q be 134/(-18) - (-315)/(-189) - (-20)/2. Let -q - 4/9*k**2 - 4/3*k = 0. What is k?
-2, -1
Let t(o) = -o**3 + 2*o**2 + 6*o + 4. Let x be t(4). Let k be (0 - -4)*1/(8 + x). Find p, given that 6*p + 0*p**3 + 4*p**3 - 5*p - p**2 + k - 5*p**3 = 0.
-1, 1
Let z(r) be the second derivative of r**5/18 + 5*r**4/72 - 55*r**2/2 - r - 35. Let w(o) be the first derivative of z(o). Let w(j) = 0. Calculate j.
-1/2, 0
Let r = -344505 - -344507. Let 2/7*g**2 + 12/7*g - r = 0. Calculate g.
-7, 1
Let g = -1212383/10556 + -7/1508. Let d = -114 - g. Factor 2/7*o**2 + d*o + 4/7.
2*(o + 1)*(o + 2)/7
Suppose -23*o = -52 - 63. Let l(q) be the first derivative of 0*q + 4/7*q**2 + 10 + 0*q**4 - 4/7*q**3 + 4/35*q**o. Factor l(t).
4*t*(t - 1)**2*(t + 2)/7
Let p be (1 - 14/4)*-2. Suppose 4 = -4*j + p*j, -3*r - j + 16 = 0. Solve 48*a - 11 + 27 + 100*a**r - 31*a**2 - 13*a**2 - 120*a**3 = 0 for a.
-2/5, 1
Factor -1433 + 2941*d**2 - 2943*d**2 - 213*d + 57 - 139*d.
-2*(d + 4)*(d + 172)
Suppose 235*o = 241*o - 48. Let 9 + x**3 - 3 + o*x**2 + 5 + 13*x - 5 = 0. What is x?
-6, -1
Let z(d) be the second derivative of -5/12*d**4 + 55/6*d**3 + 26 + d - 45*d**2. Find g such that z(g) = 0.
2, 9
Let x(a) be the third derivative of a**6/30 + 23*a**5/15 + 68*a**4/3 + 160*a**3 + 6282*a**2. Determine l so that x(l) = 0.
-15, -4
Suppose -470*h = -462*h - 2368. Let z = h - 1479/5. Factor -7/5*s**3 + 0 + 3/5*s**4 - z*s + s**2.
s*(s - 1)**2*(3*s - 1)/5
Suppose 12 = -4*o - 4*w + 164, 0 = -5*o - 2*w + 193. Determine f, given that 7*f - 24*f - 121 + o*f - f**2 = 0.
11
Let f(q) be the third derivative of 0*q**3 - 61*q**2 + 1/420*q**6 + 1/21*q**4 + 0*q - 2/105*q**5 + 0. Suppose f(h) = 0. Calculate h.
0, 2
Let i(l) = 28*l**3 - 791*l**2 - 1848*l - 424. Let y(t) = 30*t**3 - 790*t**2 - 1840*t - 425. Let c(q) = -5*i(q) + 4*y(q). Determine w so that c(w) = 0.
-2, -1/4, 42
Let d(i) = 723*i**3 - i**2 - i + 1. Let x be d(1). Let v be 42/56 + 17347/44. Solve -142 + 4*a**3 + v*a + 127*a - x - 90*a - 72*a**2 = 0.
6
Let i = 43730 - 127115/3. Let s = i - 1357. Factor 2/3*p**2 + s*p + 2/3.
2*(p + 1)**2/3
Let r(f) be the first derivative of 2*f**5/65 - 5*f**4/26 + 20*f**2/13 - 32*f/13 - 3250. Find m such that r(m) = 0.
-2, 1, 2, 4
Let s(k) be the second derivative of -123*k**6/20 + 447*k**5/40 - 13*k**4/3 - 5*k**3/3 - 5*k + 166. Factor s(u).
-u*(3*u - 2)**2*(41*u + 5)/2
Let m = 36257/19807 - 53/29. Let k = 689/2049 - m. Let 0*x + 1/3*x**3 - k*x**4 - 1/3*x**5 + 1/3*x**2 + 0 = 0. Calculate x.
-1, 0, 1
Let w = -396 - -399. Suppose -3*v**w + 15*v**3 + 15*v**2 - 2*v**4 + 0*v**4 - 14 + v**2 - 12*v = 0. What is v?
-1, 1, 7
Let a be ((-4)/9*-3)/(-8 - (-250)/30). Let u(s) be the first derivative of 0*s**2 + 2/3*s**3 + 38 + 1/6*s**a + 0*s. Determine k, given that u(k) = 0.
-3, 0
Factor 20*t**2 - 10*t**3 - t**5 + 377672*t + 31*t**3 - 377672*t.
-t**2*(t - 5)*(t + 1)*(t + 4)
Factor 36/5*t + 0 - 18/5*t**2 + 2/5*t**3.
2*t*(t - 6)*(t - 3)/5
Let j(a) be the first derivative of 5*a**3/3 - a**2/2 - 2*a - 1. Let c(y) = 2*y**2 - 4 + 18*y - y**2 + 3 - 9*y - 10*y. Let w(l) = -4*c(l) + j(l). Factor w(b).
(b + 1)*(b + 2)
Let q(z) be the first derivative of z**6/39 + 6*z**5/13 + 3*z**4/2 + 74*z**3/39 + 12*z**2/13 - 5365. Factor q(c).
2*c*(c + 1)**3*(c + 12)/13
Let f = -53572 - -53575. Solve 3/4*h**f + 0*h + 0 + 3/2*h**2 = 0.
-2, 0
Factor 1320*q + 1089000 + 2/5*q**2.
2*(q + 1650)**2/5
Let r be (2/(-4))/((-5378)/64536). Factor -r*q + 13 - 1/4*q**2.
-(q - 2)*(q + 26)/4
Let t be (1 + (-23)/2)*98/(-147). Suppose 2*y - t*y = 5*y. Determine u so that -2/9*u**4 + y*u + 2/9*u**2 + 2/9*u**3 + 0 - 2/9*u**5 = 0.
-1, 0, 1
Let v(z) be the second derivative of 1/2*z**3 - 194*z + 3/8*z**4 - 3/20*z**5 - 1/40*z**6 - 15/8*z**2 + 0. What is q in v(q) = 0?
-5, -1, 1
Let x(p) be the third derivative of -13*p**4/24 + p**3/6 + 2*p**2 - p. Let y(v) = v**2 + 27*v. Let t(r) = -10*x(r) - 6*y(r). Factor t(h).
-2*(h + 5)*(3*h + 1)
Let h(k) be the first derivative of -k**4/20 - 5*k**3/3 + 65*k**2/2 - 175*k + 626. Factor h(o).
-(o - 5)**2*(o + 35)/5
Let q be (-147)/343*(441/(-35) - -7). Find t such that -2/5*t**2 - q + 2*t = 0.
2, 3
Let f = -49 + 53. What is k in f + 8*k - 19*k**3 + 92*k**4 - 23*k**2 + 74*k**4 - 111*k**4 - 25*k**5 = 0?
-2/5, 1
Let a(v) be the first derivative of -1/12*v**4 + 0*v - 7/9*v**3 - v**2 + 162. Determine l so that a(l) = 0.
-6, -1, 0
Factor -166*y**2 - 221*y**2 - 5808 + 1382195*y + 3*y**3 - 1379243*y.
3*(y - 121)*(y - 4)**2
Let k(y) = y**4 + y**3 + y**2 - 2*y - 3. Let o(j) = -4*j**4 - 14*j**3 + 60*j**2 + 76*j + 6. Let l(t) = 4*k(t) + 2*o(t). Let l(a) = 0. What is a?
-9, -1, 0, 4
Let n(z) be the second derivative of -92*z**6/45 - 61*z**5/5 - 226*z**4/9 - 58*z**3/3 + 4*z**2/3 + 7928*z. Find l, given that n(l) = 0.
-2, -1, 1/46
Determine o so that 3/2*o**3 - 159