1/2*h**3 + 0 + b*h - 9/2*h**2. Solve w(p) = 0 for p.
6
Let t be (-996)/(-84) + -11 - ((-3224)/224 - 5). Let l(c) = 18*c**3 + 2*c**2 - 1. Let y be l(1). Find x such that -y*x - 2 - 45/4*x**3 + t*x**4 - 97/2*x**2 = 0.
-1, -2/9, 2
Let m(f) = -347*f - 3121. Let j be m(-9). Let i be 56/40 - (-6)/10. Let -i*h**5 + 4/3*h**4 + 0*h**j + 6*h**3 - 8/3*h + 0 = 0. Calculate h.
-1, 0, 2/3, 2
Let q(y) be the first derivative of -y**6/27 - 8*y**5/45 + 10*y**4/9 + 20*y**3/9 - 11*y**2 + 12*y + 1833. What is a in q(a) = 0?
-6, -3, 1, 3
Let q(m) be the second derivative of -5/3*m**4 + 0*m**2 + 0 + 65*m + 1/40*m**5 + 100/3*m**3. Let q(h) = 0. What is h?
0, 20
Let b be 3 + 1 + (-4 + 4)/(-6). Factor -3*w + 2*w**b + 58 - 52 + 4*w**3 + 0*w**4 - w - 8*w**2.
2*(w - 1)**2*(w + 1)*(w + 3)
Let o(h) be the first derivative of -h**4/34 - 32*h**3/3 - 7438. Factor o(k).
-2*k**2*(k + 272)/17
Let z be (-4440)/220 - -20 - (199/(-66) + 2). Let w(b) be the second derivative of 0 + 5/12*b**4 + z*b**3 + 0*b**2 - 4*b. Factor w(d).
5*d*(d + 1)
Let i(a) be the second derivative of 0 - 3/220*a**5 + 1/462*a**7 + 1/33*a**3 + 1/330*a**6 + 0*a**2 - 1/132*a**4 + 108*a. Find d, given that i(d) = 0.
-2, -1, 0, 1
Let l(t) be the third derivative of -t**6/140 - t**5/42 + 4*t**4/21 + 4*t**3/7 - 1210*t**2. Find g, given that l(g) = 0.
-3, -2/3, 2
Factor 0 - 8816*q**3 + 8664*q**2 - 2/3*q**5 + 458/3*q**4 + 0*q.
-2*q**2*(q - 114)**2*(q - 1)/3
Let n(b) be the third derivative of -b**8/3360 - b**7/840 + b**5/120 + b**4/48 + 6*b**3 - 3*b**2. Let u(o) be the first derivative of n(o). Factor u(t).
-(t - 1)*(t + 1)**3/2
Let p(k) be the third derivative of k**5/30 + 414*k**4 + 2056752*k**3 - 9726*k**2. Factor p(u).
2*(u + 2484)**2
Suppose 564*h - 10 = 566*h, 0 = 2*g + 4*h + 16. Let b be 6*(1 - -1)*2. Suppose b*w**g + 33*w - 10*w + 49*w + 3*w**3 - w**3 = 0. What is w?
-6, 0
Let n = 253133 - 506263/2. Suppose n*g**5 + 0*g - 5*g**2 - 7/2*g**3 + 0 + 7*g**4 = 0. Calculate g.
-5, -2/3, 0, 1
Let w = -165 - -193. Determine a so that 24*a**3 + 7*a**2 - 15*a**2 - w*a + 20*a**4 + 55*a**5 - 12 - 51*a**5 = 0.
-3, -1, 1
Suppose -2*n + 3*v + 161 = 0, -6*v + v = -n + 70. Let j be ((-3)/(-2))/(3 - n/30). What is x in j*x - 9/4*x**3 + 3/4*x**4 - 6 - 3/2*x**2 = 0?
-2, 1, 2
Let f(h) be the third derivative of 0*h - 27/4*h**4 + 1/945*h**7 + 125*h**2 + 29/10*h**5 + 0*h**3 - 11/108*h**6 + 0. Let f(x) = 0. What is x?
0, 1, 27
Let i be 476/49 + (-2)/(-7). Suppose -i*n = n - 33. Factor 2 + 5 - 3*b**4 + 42*b + 17 + 9*b**2 - 12*b**n.
-3*(b - 2)*(b + 1)**2*(b + 4)
Factor 2/5*u**3 + 386/5*u - 192/5 - 196/5*u**2.
2*(u - 96)*(u - 1)**2/5
Let s(x) be the third derivative of -x**6/120 - 11*x**5/10 - 363*x**4/8 - 9*x**2 + 10. Solve s(l) = 0.
-33, 0
Let o be -23 - 1225/(-45) - 8/36. Let u(x) be the first derivative of -30 - 27/4*x**2 - 6*x - 3/8*x**o - 3*x**3. Determine v so that u(v) = 0.
-4, -1
Let g(i) = -4*i**3 + 64*i**2 - 296*i + 384. Let b(x) = -4*x**3 + 63*x**2 - 295*x + 381. Let c(n) = 4*b(n) - 5*g(n). Determine s, given that c(s) = 0.
3, 11
Let f = 26 - 26. Suppose -3*j + f = -18. Solve -j*q + 269*q**5 - 9*q**3 + 5*q**4 - 270*q**5 + 4*q + 7*q**2 = 0.
0, 1, 2
Let g(f) be the first derivative of -2*f**3/15 + 61*f**2/5 + 124*f/5 + 7457. Let g(q) = 0. What is q?
-1, 62
Let f be -3 + 5 - (-45)/(-6)*-2. Suppose j + 0 = b - 1, 4*b = -2*j + 22. Determine w so that 8*w**3 + 3*w**b + 40*w**3 - 8*w**4 - f*w**4 - 8*w**2 = 0.
0, 2/11, 2
Factor 5*b + 320 + 54*b**2 - 20*b**2 - 14*b**2 - 25*b**2 + 460.
-5*(b - 13)*(b + 12)
Let c(s) be the third derivative of -s**5/270 - 7*s**4/36 - 80*s**3/27 + 271*s**2. Factor c(u).
-2*(u + 5)*(u + 16)/9
Let g(w) = 9*w**3 + 5*w**2 + 7*w - 26. Let j(f) = 2*f**3 - 2*f - 1. Let q(r) = g(r) - 5*j(r). What is t in q(t) = 0?
-3, 1, 7
Let x(f) = -2*f**3 - 4*f**2 + 54*f + 39. Let j be x(-6). Factor 2*d**3 + 2*d - 1/2*d**4 - j*d**2 - 1/2.
-(d - 1)**4/2
Let p(f) be the first derivative of 8*f**6/33 - 12*f**5/5 + f**4/2 + 26*f**3/11 + 8*f**2/11 - 2279. Solve p(j) = 0.
-1/2, -1/4, 0, 1, 8
Let u(a) be the third derivative of -a**6/270 + a**5/15 - a**4/2 - 9*a**3/2 - 2*a**2 - 13*a. Let k(z) be the first derivative of u(z). Factor k(x).
-4*(x - 3)**2/3
Let b(r) be the second derivative of -10/3*r**3 - 6 - 1/3*r**4 + 1/5*r**5 + 3*r - 6*r**2. Let b(u) = 0. Calculate u.
-1, 3
Let x(a) be the first derivative of a**6/10 - 3*a**5/5 - a**4/4 + 2*a**3 + 204*a + 106. Let h(d) be the first derivative of x(d). Factor h(g).
3*g*(g - 4)*(g - 1)*(g + 1)
Let i(y) = 74*y**2 + 8*y - 1092. Let k(c) = 82*c**2 + 10*c - 1092. Let a(l) = 10*i(l) - 9*k(l). Suppose a(s) = 0. Calculate s.
-21, 26
Let r = 946 - 941. Factor -32*l**2 + 29*l**3 + 8*l**4 - r*l**4 - 26*l**3 + 2*l**2 + 15*l + 9*l.
3*l*(l - 2)*(l - 1)*(l + 4)
Find o, given that -621/2*o - 311 + 1/2*o**2 = 0.
-1, 622
Let q(d) = -107120*d**3 - 125680*d**2 - 18360*d - 255. Let i(a) = 6695*a**3 + 7855*a**2 + 1148*a + 16. Let b(k) = 65*i(k) + 4*q(k). Find r such that b(r) = 0.
-1, -2/13, -2/103
Solve 2049*d**4 - 46*d**5 - 83070*d**3 + 464960*d**2 + 178604 - 789*d**4 + 123976 - 1017952*d + 41*d**5 + 332227*d = 0.
1, 4, 123
Suppose -4*i - 2*n + 80 = 0, -83*i = -72*i - 3*n - 271. Factor 10*g**2 + i - 1/2*g**3 + 67/2*g.
-(g - 23)*(g + 1)*(g + 2)/2
Let b(v) be the first derivative of 0*v**2 + 6*v**4 + 0*v + 4/5*v**5 + 67 + 12*v**3. Factor b(g).
4*g**2*(g + 3)**2
Let h(a) be the third derivative of 0*a - 8*a**2 - 5/144*a**4 - 4 + 1/144*a**6 - 35/36*a**3 + 7/72*a**5. Solve h(r) = 0 for r.
-7, -1, 1
Suppose -424758 = -2*a - 424750. Factor -4/5*v**2 - 2/5*v**5 - 8/5*v**a + 0 + 0*v - 2*v**3.
-2*v**2*(v + 1)**2*(v + 2)/5
Let g be 4/(-18) + (-68)/18 + 405/45. Let j(t) be the first derivative of -2/3*t**3 - t + 8 - 3/2*t**2 + 3/5*t**g + 1/2*t**4 + 1/6*t**6. Factor j(a).
(a - 1)*(a + 1)**4
Factor -665856/5 + 1632/5*r - 1/5*r**2.
-(r - 816)**2/5
Let h = 1/21353 - -6918367/106765. Let 128/5*m**2 + 0 - h*m**4 + 16/5*m + 36*m**3 = 0. Calculate m.
-2/9, 0, 1
Let l = 476641/71496 - 1/71496. Factor l*w**2 - 5/3*w - 5/3*w**3 - 10.
-5*(w - 3)*(w - 2)*(w + 1)/3
Let o = -136983 + 684943/5. Solve o*z + 6 - 2/5*z**2 = 0.
-1, 15
Let q(x) = -3*x**3 + 4*x - 5. Let m be 1/(2 + (-7)/3). Let w be q(m). Let 16*b**2 - w*b**2 + 35*b**3 + 9*b**3 - 16*b**4 + 2*b**5 + 18*b = 0. Calculate b.
0, 1, 3
Let v be (-13667)/(-346) + (13/(-1) - -2). Suppose -v*h**3 - 33/2*h**4 + 21*h**5 + 39/2*h**2 - 3 + 15/2*h = 0. What is h?
-1, -1/2, 2/7, 1
Let s = -131179/20 + 6559. Let u(k) be the first derivative of 3/8*k**4 - 13/12*k**3 + 11 + 3/2*k**2 - s*k**5 - k. Let u(m) = 0. What is m?
1, 2
Let f be 9/(-12)*-1 - (-144)/64. Factor 584*l**3 + 3 + 1 + l**5 - 577*l**f - 8*l - 5*l**4 + l**2.
(l - 2)**2*(l - 1)**2*(l + 1)
Factor 66*h**2 + 244*h - 1649*h + 341*h**3 - 531*h + 356*h**3 + h**4 - 673*h**3 - 11979.
(h - 9)*(h + 11)**3
Let g(o) = -8*o**4 + 1806*o**3 + 5431*o**2 + 5405*o + 1816. Let x(i) = 4*i**4 - 904*i**3 - 2716*i**2 - 2700*i - 908. Let b(k) = -4*g(k) - 7*x(k). Factor b(d).
4*(d - 227)*(d + 1)**3
Let q(d) be the first derivative of 2*d**5/25 + 11*d**4/20 + 3*d**3/5 - 27*d**2/10 - 27*d/5 + 13. Let q(g) = 0. What is g?
-3, -1, 3/2
Suppose -84*v + 49*v**2 + 2 + 17 - v**3 - 7*v**4 + v**5 - 22*v**2 + 17 + 28*v**2 = 0. Calculate v.
-3, 1, 2, 6
Let b(w) be the second derivative of -w**5/420 + w**4/12 - 13*w**3/42 + 8*w**2 - w - 226. Let t(c) be the first derivative of b(c). Factor t(g).
-(g - 13)*(g - 1)/7
Suppose -3*p = 3*l + 1491, 18*l = 15*l - 9. Let x be (-100)/(-26) + (-76)/p. Solve 1/4*d**x + 0*d**2 - 1/4 + 1/2*d - 1/2*d**3 = 0.
-1, 1
Let u(s) = 2*s**2 + 14*s + 28. Let o(n) = -n**2 + 3*n. Let c be 5 - 1/1*(-27)/(-27). Let j(d) = c*o(d) + u(d). Factor j(m).
-2*(m - 14)*(m + 1)
Determine w so that 4/7*w**2 + 228/7*w + 344 = 0.
-43, -14
Determine x so that 240 - 2/5*x**2 + 4*x = 0.
-20, 30
Find d, given that 368/7*d + 86/7*d**2 - 2/7*d**3 + 376/7 = 0.
-2, 47
Let y = 21 + -4. Let h(c) = c**2 - 15*c - 24. Let v be h(y). Factor 6*t**2 + 8*t - 10*t - t**4 - 19*t**2 - v*t - 4 - 6*t**3.
-(t + 1)**2*(t + 2)**2
Let b(v) = v**2 + 11*v + 30. Let d be b(-7). Find c such that 559 - c**d - 2*c**2 - 102*c - 559 = 0.
-34, 0
Factor 18/7*s - 180/7 + 2/7*s**2.
2*(s - 6)*(s + 15)/7
Let h be 5 + 1 + (41 - 16). Let d = 31 - h. Let 1/4*z**4 - 1/2*z**2 + 1/4 + d*z + 0*