2 - 4*d = 0.
1, 2
Let u(b) be the first derivative of b**6/120 - b**5/8 + b**4/2 - 2*b**3/3 - 97*b**2/2 - 42. Let s(f) be the third derivative of u(f). Let s(c) = 0. Calculate c.
1, 4
Factor 565 + 597*m - 4*m**3 + 35*m + 75 - 8*m + 144*m**2.
-4*(m - 40)*(m + 2)**2
Suppose -808*v - 904*v - 643*v - 656 - 1433*v + 892*v**2 + 0*v**3 + 24*v**3 = 0. What is v?
-41, -1/6, 4
Let z(j) be the second derivative of -11*j**5/50 + 37*j**4/30 + 62*j**3/5 - 72*j**2/5 - 915*j. Find p, given that z(p) = 0.
-3, 4/11, 6
Suppose -39 = -5*j - 95 + 11, 0 = -22*i + j + 53. Suppose 32/7 + 20/7*z + 2/7*z**i = 0. What is z?
-8, -2
Let f(q) be the first derivative of -q**4/2 - 980*q**3/3 + 2823. Factor f(p).
-2*p**2*(p + 490)
Solve 1042*d + 136 - 4*d**4 - 2660*d - 788*d**2 + 796*d**3 + 822*d + 656 = 0 for d.
-1, 1, 198
Solve 11/5*v**2 - 11/5*v**4 - 2/5*v**5 + 0 - 6/5*v + 8/5*v**3 = 0 for v.
-6, -1, 0, 1/2, 1
Let f be 2 + (-4)/8*(1 - 107). Let -12 + 2 + 150*v**3 - 40*v**2 - 72*v**5 + 90*v**4 - f*v - 63*v**5 = 0. What is v?
-2/3, -1/3, 1
Let i(y) = -13*y + 118. Let r be i(-6). Determine x so that -65*x**2 - 4 - 36 + 46*x - r*x = 0.
-2, -4/13
Let q(c) = -9*c**2 - 4*c. Let h(b) = -38*b**2 - 102*b - 240. Let s(r) = h(r) - 4*q(r). Factor s(t).
-2*(t + 3)*(t + 40)
Factor -2*z**4 + 75 + 29 + 4*z**4 + 0*z**4 - 264*z + 0*z**4 + 218*z**2 - 60*z**3.
2*(z - 26)*(z - 2)*(z - 1)**2
Let i(s) be the third derivative of -13/108*s**4 + 0 + 1/270*s**5 + 0*s - 48*s**2 - 14/27*s**3. Factor i(h).
2*(h - 14)*(h + 1)/9
Factor -5*x - 1/4*x**2 - 19/4.
-(x + 1)*(x + 19)/4
Let w(f) = -24*f**2 + 1170*f + 3546. Let g(p) = -27*p**2 + 1167*p + 3544. Let x(j) = -9*g(j) + 10*w(j). Factor x(b).
3*(b + 3)*(b + 396)
Let k = -240/59 - -45175/11033. Let h = 4897/1309 - k. Factor -8/7 - 18/7*r**2 - h*r.
-2*(r + 1)*(9*r + 4)/7
Suppose 261*t**2 + 56/3*t**3 - 56/3*t - 784/3 + 1/3*t**4 = 0. What is t?
-28, -1, 1
Factor 3*v**3 + 52505*v**2 + 780 + 355*v - 128*v + 652*v - 52403*v**2.
3*(v + 1)*(v + 13)*(v + 20)
Let d(r) be the second derivative of 5/4*r**3 - 13*r - 3/10*r**5 - 75/2*r**2 + 29/4*r**4 - 1/28*r**7 + 4 - 2/5*r**6. Determine h, given that d(h) = 0.
-5, -1, 1, 2
Let v(x) be the second derivative of -x**7/336 - 7*x**6/60 - 13*x**5/10 - 5*x**4/48 + 1937*x**3/48 - 845*x**2/8 + 6*x - 147. Find f such that v(f) = 0.
-13, -5, 1, 2
Let s(z) = -z**3 + 36*z**2 - 21*z - 64. Let d(x) = -2*x**3 + 88*x**2 - 52*x - 160. Let m be 60/510 - (516/51 - -2). Let i(v) = m*s(v) + 5*d(v). Factor i(t).
2*(t - 2)*(t + 2)*(t + 4)
Let z(q) be the third derivative of q**7/42 + 31*q**6/6 + 1073*q**5/3 + 16820*q**4/3 - 1912*q**2. Determine y so that z(y) = 0.
-58, -8, 0
Let b be 24/7 - (-58 + (-5317)/(-91)). Solve 36/5*q**b + 234/5*q**2 + 648/5*q + 648/5 + 2/5*q**4 = 0 for q.
-6, -3
Let o(l) = -10*l**4 - 25*l**3 - 10*l**2 + 115*l - 70. Let b(i) = i**4 - i**3 + 2*i**2 - i - 1. Let w(j) = -5*b(j) - o(j). Factor w(m).
5*(m - 1)**2*(m + 3)*(m + 5)
Let s(t) = 21*t - 4*t**2 - t - 6*t**3 + 7*t**3 - 66 + 28*t**2. Let g be s(-23). Factor 1/3 - 1/2*v**2 + 1/6*v - 1/6*v**g + 1/6*v**4.
(v - 2)*(v - 1)*(v + 1)**2/6
Suppose -128*s + 3163 - 2907 = 0. Factor 16/11*m - 64/11 - 1/11*m**s.
-(m - 8)**2/11
Let b(w) be the third derivative of w**7/1155 + w**6/30 - 5*w**5/22 - 59*w**2 + 11*w. Factor b(j).
2*j**2*(j - 3)*(j + 25)/11
Suppose 3*l = -8*r + 5*r - 15, 2*r + 10 = -l. Suppose b = l, 5*k + b - 37 = -27. Suppose 4/11*h**k + 2/11*h**3 + 0 - 2/11*h**4 + 0*h = 0. What is h?
-1, 0, 2
Let q be ((-8)/14 + 2)/((-1)/(-7)). Suppose -2*p - 9 + 29 = 4*a, -4*p = -2*a - q. Determine w, given that 4*w**2 + 11 + 7 - 3*w + 4*w**a - w - 22 = 0.
-1, 1
Factor 55/2*i**3 - 334*i - 3*i**2 + 1/4*i**4 - 440.
(i - 4)*(i + 2)**2*(i + 110)/4
Let l be (42 - 45) + (-84)/15 + 9. Suppose l*x**2 + 0 - 6/5*x = 0. Calculate x.
0, 3
Let o(w) be the second derivative of 3*w**5/40 + 449*w**4/8 + 49259*w**3/4 - 772935*w**2/4 + 4706*w. Factor o(y).
3*(y - 5)*(y + 227)**2/2
Let m = -96721/38 - -48408/19. Let -5*a + 75/2 - m*a**2 = 0. Calculate a.
-5, 3
Suppose -2*a = 3*a + v - 18, 0 = 3*a - 3*v - 18. Factor 156*c**a + 50*c**3 - 159*c**4 + 22*c**3.
-3*c**3*(c - 24)
Suppose 4*i + 5*b - 21 = 7, 0 = -i - 3*b. Let g be (-9)/(135/(-40))*i/16. Factor -1/2*a**4 - 3*a**2 - 2*a**3 - 1/2 - g*a.
-(a + 1)**4/2
Solve 666 + 6*y - 90*y - 5*y**3 - 746 + 9*y**3 = 0 for y.
-4, -1, 5
Let x(z) = 4*z - 7. Let g(m) = -1. Let y(i) = -4*g(i) + x(i). Let p be y(17). Factor p*r + 5*r**3 - 30 - 7*r**2 - 10*r**2 - 23*r**2.
5*(r - 6)*(r - 1)**2
Let z(f) be the third derivative of -f**5/12 - 235*f**4/12 + 475*f**3/6 + 119*f**2 - 8*f. Factor z(l).
-5*(l - 1)*(l + 95)
Find v, given that -138/7*v**3 - 6*v**4 + 408*v + 1140/7*v**2 + 720/7 = 0.
-6, -2, -2/7, 5
Let 0 + 1/4*m**4 + 11*m**3 + 525/4*m**2 + 441/2*m = 0. Calculate m.
-21, -2, 0
Let y = 44648/395327 + 2/7459. Let c = y + 111/424. Solve 9/8*r + c*r**2 + 0 = 0.
-3, 0
Let v be 2 - -8 - (-7)/((-588)/826). Let g(h) be the first derivative of -1/20*h**5 - 17 - 3/2*h**2 - 9/4*h + 1/4*h**4 + v*h**3. Suppose g(n) = 0. What is n?
-1, 3
What is r in -2/17*r**3 - 46/17*r**2 + 616/17 - 208/17*r = 0?
-14, -11, 2
Let j(x) = 2*x**2 + 35*x - 406. Let a be j(8). Let n(c) be the first derivative of -5/2*c**4 + c**5 - 20/3*c**3 + 15*c - 16 + 5*c**a. Factor n(g).
5*(g - 3)*(g - 1)*(g + 1)**2
Let p(u) = 5130*u - 66688. Let z be p(13). Suppose -z*v**2 - 8/5*v + 0 - 2/5*v**3 = 0. Calculate v.
-4, -1, 0
Let t = 296 - 491. Let r = t - -197. Suppose 1/2 + p + 1/2*p**r = 0. Calculate p.
-1
Let g(d) be the first derivative of -d**4/22 + 20*d**3/33 + 32*d**2/11 - 768*d/11 - 4434. Find v, given that g(v) = 0.
-6, 8
Let n(j) be the first derivative of j**3/4 - 573*j**2/8 + 423*j - 5382. What is b in n(b) = 0?
3, 188
Find z, given that -28/5*z**3 - 2/5*z**5 + 78/5*z + 8*z**2 - 16/5*z**4 - 72/5 = 0.
-4, -3, 1
Let k = 120 + -123. Let b(u) = -u**2 + u - 1. Let j(m) = 1 - 16 - 10*m - m + 2*m. Let y(t) = k*j(t) - 3*b(t). Determine o so that y(o) = 0.
-4
Let a(u) = 45*u**3 + 1735*u**2 - 2568*u + 776. Let w(k) = 225*k**3 + 8675*k**2 - 12838*k + 3876. Let n(v) = -31*a(v) + 6*w(v). Factor n(z).
-5*(z - 1)*(z + 40)*(9*z - 4)
Let d(p) be the first derivative of -p**5/5 - p**4/3 + 8*p**3 - 64*p - 88. Let w(n) be the first derivative of d(n). Suppose w(a) = 0. What is a?
-4, 0, 3
Let l be (-13 + 11)*(1 - (-36)/(-32)). Let v(n) be the third derivative of -3/8*n**6 + l*n**5 + 5/6*n**3 + 25/24*n**4 + 16*n**2 + 0*n + 0. Factor v(j).
-5*(j - 1)*(3*j + 1)**2
Let l be (-6 + (-1269)/(-99) - 7) + 140/44. Let t(y) be the first derivative of -5 - y**l + 0*y + 3/2*y**2. Find h such that t(h) = 0.
0, 1
Suppose -1016/3*v - 4/3*v**3 - 44*v**2 + 384 = 0. What is v?
-18, -16, 1
Let l(m) be the first derivative of 5/24*m**4 + 1/6*m**2 + 7/18*m**3 + 0*m + 39. Factor l(t).
t*(t + 1)*(5*t + 2)/6
Let u = 721/796 - 31/199. Let i(z) be the second derivative of -1/14*z**7 - u*z**5 + 24*z + 0 + 0*z**3 + 0*z**2 - 2/5*z**6 - 1/2*z**4. Factor i(p).
-3*p**2*(p + 1)**2*(p + 2)
Let z(g) be the second derivative of -2*g**5/5 + 103*g**4/6 + 250*g**3/3 + 56*g**2 - 43*g - 9. Factor z(p).
-2*(p - 28)*(p + 2)*(4*p + 1)
Let f(v) = -v**3 + 2*v**2 + 121*v - 6. Let s be f(12). Let c(j) be the first derivative of 0*j**3 - 1/4*j**4 - 16*j - 16 + s*j**2. Factor c(b).
-(b - 2)**2*(b + 4)
Let p(v) be the second derivative of -v**5/100 + v**4/5 + 43*v**3/30 + 3*v**2 - 492*v + 1. Let p(g) = 0. Calculate g.
-2, -1, 15
Let c be 11136/(-448) - -27 - (-6)/7. Solve -4/5*g**4 + 8/5*g**2 + 0*g + 0*g**c - 4/5 = 0 for g.
-1, 1
Let p(q) be the first derivative of q**6/4 + 3*q**5/10 - 9*q**4/8 - q**3/2 + 3*q**2/2 + 1125. Let p(t) = 0. Calculate t.
-2, -1, 0, 1
Let a = -10048 + 70408/7. Suppose n = 5*f - 0*n - 10, -3*n = 0. Factor a + 24/7*i + 2/7*i**f.
2*(i + 6)**2/7
Suppose 19*u - 6 = 17*u. Suppose 0 = u*l + 2*t - 14, 0*l - 3*t - 9 = -3*l. What is m in l*m**3 + 7*m - 21*m**2 + 13*m**2 - m - 2*m = 0?
0, 1
Suppose 2560*q - 1/3*q**5 + 37/3*q**4 + 3300 - 395/3*q**3 + 419/3*q**2 = 0. Calculate q.
-2, 11, 15
Suppose -804604*w + 1 + 435*w**3 - 1 + 5*w**5 + 440*w**4 + 804604*w = 0. What is w?
-87, -1, 0
Let m(u) be the third derivative of -u**8/1120 - 9*u**7/560 + u**6/240 + 9*u**5/80 + 95*u**3/6 + 95*u**2. Let q(h) be the first derivative of m(h). Factor q(p).
-3*p*(p - 1)