*m**5/5 - 333*m**4 + 1329*m**3/2 - 498*m**2 - 9*m + 19. Determine s, given that h(s) = 0.
1/2, 332
Let b(o) = o**3 - 6*o**2 + 3*o + 13. Let r be b(4). Let x be (91/r - -13)/((-1)/1). Factor 0*q**2 + 0 + 2/7*q**5 - 2/7*q**4 + x*q + 0*q**3.
2*q**4*(q - 1)/7
Let p(j) = 15*j**3 - j**2 - 17*j - 1. Let b(c) = -c - 1. Let r(u) = 10*b(u) - 5*p(u). Determine z, given that r(z) = 0.
-1, 1/15, 1
Solve 138 - 3/2*o**2 - 66*o = 0 for o.
-46, 2
Let j = 150194/9 + -16688. Suppose -8/3*t + 22/9*t**2 + 4/9*t**3 - j*t**4 + 0 = 0. Calculate t.
-3, 0, 1, 4
Let m be (230/(-48) + 5)*(-3388)/(-70). Let t(x) be the second derivative of 0 + 11/18*x**3 + 12*x - m*x**2 - 1/72*x**4. Factor t(w).
-(w - 11)**2/6
Let y(z) be the first derivative of -44/3*z**3 + 208 - 70*z**2 - z**4 - 100*z. Let y(s) = 0. Calculate s.
-5, -1
Let t(w) be the first derivative of -5*w**4/4 + 200*w**3/3 - 190*w**2 - 5900. Suppose t(u) = 0. What is u?
0, 2, 38
Let y be (-80)/(-100)*5/(-2). Let j be (0 + y)/(19 - 27). Suppose -3/4*x**2 + 5/4*x**3 - j - 5/4*x + x**4 = 0. What is x?
-1, -1/4, 1
Let m(w) be the second derivative of 0*w**3 + 1/108*w**4 - 27 - w - 1/18*w**2. Determine d, given that m(d) = 0.
-1, 1
Let a = 3857/2895 + 1/965. Suppose -13*l + 82 - 82 = 0. Factor -a*m**2 + 32/3*m + l.
-4*m*(m - 8)/3
Factor 2676/7*t**3 + 0*t + 0 - 4/7*t**2 - 2672/7*t**4.
-4*t**2*(t - 1)*(668*t - 1)/7
Suppose -53 + 119 = 6*b. Let p(h) be the first derivative of 54/5*h**2 + 1/25*h**5 + 18/5*h**3 + b + 81/5*h + 3/5*h**4. Factor p(o).
(o + 3)**4/5
Let o(c) be the second derivative of -c**4/12 + 191*c**3/6 + 80*c - 4. Suppose o(f) = 0. Calculate f.
0, 191
Let k(a) be the first derivative of 1/6*a**6 - 3/2*a**2 + 3/5*a**5 - 2/3*a**3 - a - 133 + 1/2*a**4. Find m such that k(m) = 0.
-1, 1
Let r(m) be the second derivative of m**6/15 - 8*m**5/5 - 49*m**4/3 - 48*m**3 - 63*m**2 - 1553*m. Solve r(k) = 0 for k.
-3, -1, 21
Suppose 0 = 471*y - 474*y - 48, -4*c = -3*y - 72. Solve c - 2/3*p**2 + 16/3*p = 0 for p.
-1, 9
Let h = 1833 + -1830. Let s(b) be the first derivative of -80*b**4 + 8*b + 5 + 62*b**2 - 256/5*b**5 + 148*b**h. Find v, given that s(v) = 0.
-2, -1/8, 1
Let x be 2 - (-94)/(-14) - (-20)/(-70). Let p(j) = j**3 + 6*j**2 - 8*j - 17. Let f be p(x). Find u such that 27/4 - f*u**4 + 36*u + 165/4*u**2 - 36*u**3 = 0.
-1, -3/8, 1
Let j(d) = -d**3 + 15*d**2 + d - 9. Let u be j(15). Suppose 0 = -4*z + 9*z - 15. Factor -9*c**3 + 3*c**2 + u*c + 155*c**5 - 308*c**5 + 156*c**5 - z*c**4.
3*c*(c - 2)*(c - 1)*(c + 1)**2
Suppose 4*y = i + 3650, -30*i = 3*y - 29*i - 2734. Let m = -912 + y. Factor -1/3*g**5 + m*g + 0 + 0*g**3 + 2*g**4 - 32/3*g**2.
-g**2*(g - 4)**2*(g + 2)/3
Let z(p) be the first derivative of 2704*p + 104*p**2 + 4/3*p**3 - 7. Solve z(h) = 0 for h.
-26
Let m(l) be the third derivative of l**6/120 + 19*l**5/12 + 359*l**4/24 - 455*l**3/6 + 5*l**2 - l + 6. Suppose m(g) = 0. What is g?
-91, -5, 1
Let t(d) be the third derivative of -d**5/20 - d**4/4 + d**3/3 - 221*d**2. Let m(p) = 4 - p**2 - 2*p - 3 + 0*p**2. Let h(v) = -14*m(v) + 4*t(v). Factor h(n).
2*(n - 1)*(n + 3)
Let v(h) be the third derivative of h**7/3780 - h**6/1620 - h**5/45 - 22*h**3/3 + 5*h**2 - 3*h. Let o(l) be the first derivative of v(l). Factor o(c).
2*c*(c - 4)*(c + 3)/9
Let z = 10/1669 - -10683/166900. Let b(d) be the third derivative of 1/24*d**6 + z*d**5 + 0 + 0*d + 3/350*d**7 + 32*d**2 + 1/40*d**4 - 1/15*d**3. Factor b(g).
(g + 1)**3*(9*g - 2)/5
Factor -206/5*q + 20*q**2 + 2/5*q**3 + 104/5.
2*(q - 1)**2*(q + 52)/5
Let c(b) be the second derivative of 1/6*b**4 - 2*b + 100*b**2 - 20/3*b**3 + 0. Factor c(a).
2*(a - 10)**2
Let b(d) be the first derivative of d**6/25 + 12*d**5/25 + 11*d**4/10 - 4*d**3 + 167*d + 112. Let u(m) be the first derivative of b(m). Solve u(v) = 0.
-5, -4, 0, 1
Let k(y) = -5*y**2 - 3039*y - 2825. Let f(w) = w**2 + 604*w + 565. Let v(i) = -33*f(i) - 6*k(i). Factor v(g).
-3*(g + 1)*(g + 565)
Let b(g) = -150*g - 16650. Let x be b(-111). Factor -1/2*y**3 - 1/4*y**4 + 0*y - 1/4*y**2 + x.
-y**2*(y + 1)**2/4
Let o(j) be the second derivative of j**7/210 - 67*j**6/50 + 597*j**5/100 - 119*j**4/12 + 33*j**3/5 + j - 107. Suppose o(r) = 0. Calculate r.
0, 1, 198
Let r(n) = n**2 + 9*n + 1. Let s(m) = -3*m**2 + 237*m + 551. Let u(y) = -5*r(y) - s(y). Factor u(g).
-2*(g + 2)*(g + 139)
Let m(r) be the first derivative of 4*r**3/3 + 40*r**2 + 300*r - 1696. Determine h, given that m(h) = 0.
-15, -5
Factor 122/5*k - 1/5*k**4 + 58/5*k**3 + 0 + 181/5*k**2.
-k*(k - 61)*(k + 1)*(k + 2)/5
Let k(r) be the first derivative of 5*r**3/3 + 985*r**2/2 + 980*r + 5255. Let k(n) = 0. What is n?
-196, -1
Find x such that 12217/3*x**3 + 499/3*x**4 + 110837/3*x**2 + 7/3*x**5 + 201020/3*x + 48668/3 = 0.
-23, -2, -2/7
Let l(s) be the second derivative of -s**4/24 + s**3/2 - 9*s**2/4 - 853*s. Factor l(y).
-(y - 3)**2/2
Let b(y) = 31*y**2 - 2*y - 2. Let n be b(-1). Let g = n - 31. Suppose g*a**4 - 39*a**2 + a**5 + 2*a**3 - 3*a**4 + 39*a**2 = 0. What is a?
0, 1, 2
Let a(d) be the first derivative of -13/2*d**2 + 2*d + 11/3*d**3 + 43. Factor a(f).
(f - 1)*(11*f - 2)
Let x = 572/849 - 2/283. Let i be 16/(-9) - (0 - 4 - -2). What is o in i*o**3 + 2/9*o**4 - 2/9*o - x*o**2 + 4/9 = 0?
-2, -1, 1
Suppose -2*o + 5*d = 2*d - 24, 27 = 3*o - 3*d. Let b(w) be the first derivative of 3*w + w**2 + 1/9*w**o - 5. Find g, given that b(g) = 0.
-3
Let s(o) be the first derivative of 5*o**3/12 + 589*o**2 + 471*o + 2942. Find q such that s(q) = 0.
-942, -2/5
Let t be (-1 - (-137)/(-13))*18320/(-11450). Find c, given that -2/13*c**3 - t*c + 46/13*c**2 - 288/13 = 0.
-1, 12
Let i(v) = -v**3 - 32*v**2 - 9*v - 1386. Let n be i(-33). Determine t so that 0*t**2 + 7/5*t**4 + 1/5*t**5 + 0 + n*t - 8/5*t**3 = 0.
-8, 0, 1
Factor 7494/5*v - 54/5*v**2 + 1668/5.
-6*(v - 139)*(9*v + 2)/5
Let s(t) = 8*t - 144*t**2 + 96*t**2 - 19*t - 50*t + 9*t - t**3 - 233. Let m be s(-47). Factor -38/3*u + 2/3 + 361/6*u**m.
(19*u - 2)**2/6
Let q(z) = -z**3 + 32*z**2 - 154*z + 515. Let w be q(27). Factor 34/11*s + 78/11*s**w + 2*s**4 + 70/11*s**3 + 4/11.
2*(s + 1)**3*(11*s + 2)/11
Let k(z) = -z**2 - 2*z + 1. Let l = -5 - -19. Suppose -80 = -l*i - 388. Let b(j) = 5*j**2 + 11*j - 5. Let u(c) = i*k(c) - 4*b(c). Suppose u(m) = 0. What is m?
-1, 1
Let k be 86/52 - 36/234 - 25/20. Let u(c) be the second derivative of -k*c**4 - 1/3*c**3 + 0*c**2 - 11*c + 0. Let u(p) = 0. Calculate p.
-2/3, 0
Let b = -160 - -162. Factor 11 - 39*d**b + 26*d**3 - 14*d**3 - 39*d + 1.
3*(d - 4)*(d + 1)*(4*d - 1)
Let l(u) be the first derivative of -u**6/30 - u**5/25 + 9*u**4/10 - 14*u**3/15 - 17*u**2/10 + 3*u + 1632. What is p in l(p) = 0?
-5, -1, 1, 3
Let u be 1/(-3)*(-11840)/592. Let w be (-2)/4*(-40)/12. Factor 20/3*h - 5/3*h**3 - w*h**2 + u.
-5*(h - 2)*(h + 1)*(h + 2)/3
Suppose -4*j + 3*i + 6 = 0, -3*i + 4*i + 4 = 2*j. What is u in 50*u + 25*u**j - 59*u**2 + 249*u**2 + 20 + 45*u - 90 = 0?
-7, -1, 2/5
Let v = -807 + 810. Find o, given that 20*o**2 + 751*o**v - 376*o**3 - 379*o**3 = 0.
0, 5
Let l(w) = -106*w**3 - 130*w**2 + 46*w + 14. Let c = 182 - 188. Let p(u) = 21*u**3 + 26*u**2 - 10*u - 3. Let r(s) = c*l(s) - 28*p(s). Solve r(b) = 0 for b.
-1, -1/12, 0
Suppose 0 = 5*g - 5*p - 15, 3*g = -4*p + 3 + 13. Let b be 4070/259 + (g/14 - 0). Factor -6*q + b - 27*q**2 + 23*q**2 - 6*q.
-4*(q - 1)*(q + 4)
Let d(f) = -f**5 - 2*f**2 - 2*f + 2. Let m(l) = -15*l**5 - 235*l**4 - 465*l**3 + 495*l**2 + 270*l - 20. Let q(z) = 10*d(z) + m(z). What is h in q(h) = 0?
-5, -2/5, 0, 1
Let d(r) = 3*r**3 - 5*r**2 + 7*r - 9. Let h be d(3). Let n be (-15)/(-1)*32/h. Factor 22*c + 3*c - c**2 + 11*c**2 + n.
5*(c + 2)*(2*c + 1)
Suppose -2*y + 4*p = 340, -p - 158 - 359 = 3*y. Let u = -169 - y. Factor -10/9*t**u - 14/9*t - 2*t**2 - 4/9 - 2/9*t**4.
-2*(t + 1)**3*(t + 2)/9
What is m in 5/4*m**3 + 1296 + 721/4*m**2 + 6516*m = 0?
-72, -1/5
Let v = -849 - -874. Let r(z) be the third derivative of 0 + 0*z**3 + 0*z + v*z**2 - 1/135*z**5 - 1/27*z**4. What is i in r(i) = 0?
-2, 0
Let k be 7/(105/40)*((-9)/(-4))/3. Let v(b) be the first derivative of 0*b**3 - k*b**4 + 2/3*b**6 - 4/5*b**5 + 0*b + 0*b**2 - 20. Solve v(c) = 0.
-1, 0, 2
Let q(k) = 180*k**2 + 669*k + 1083. Let a(l) = 222*l**2 + 836*l + 1354. Let i(c) = -9*a(c) + 11*q(c). Find g such that i(g) = 0.
-7, -13/6
Suppose 2*z + 1