 = 0.
-1, 1
Let m(l) = 3*l**3 - 7*l**2 - 1. Let g(k) = -26*k**3 + 2014*k**2 + 7920*k + 7947. Let w(z) = -g(z) - 7*m(z). Determine h, given that w(h) = 0.
-2, 397
Let v(h) be the first derivative of h**5/60 - h**4/4 + 5*h**3/6 - 55*h**2/2 + 9. Let f(m) be the second derivative of v(m). Let f(b) = 0. Calculate b.
1, 5
Let d be (4*(-9)/45)/(((-20)/(-25))/(-2)). Solve -18/5*a - 1/5*a**d - 17/5 = 0 for a.
-17, -1
Let n(t) be the second derivative of -t**6/40 + 29*t**5/80 - 5*t**4/24 - 3*t**3 - 1173*t. Suppose n(i) = 0. Calculate i.
-4/3, 0, 2, 9
Let k = 50360 - 251799/5. Let o = 3 + -3. Factor 0*u**2 + 0 + o*u + k*u**3.
u**3/5
Determine g so that -7655*g + 3814*g + 3*g**2 - 3105 + 4003*g = 0.
-69, 15
Let f(h) be the third derivative of 2 + 0*h - 8/15*h**6 + 2/5*h**5 + 1/21*h**7 + 40/3*h**4 - 64/3*h**3 - 69*h**2. Factor f(c).
2*(c - 4)**2*(c + 2)*(5*c - 2)
Let i be (-28)/(-1) - 288/36. Let -2*a**2 - 268 + 0*a + 250 - i*a = 0. Calculate a.
-9, -1
Factor -215*c + c**2 - 335*c + 0*c**2 - 53824 - 378*c - 5*c**2.
-4*(c + 116)**2
Let k(q) = 2. Let h(n) = 15*n - 165. Let l(o) = h(o) + 2*k(o). Let a be l(11). Determine x so that -4/3*x + 10/3*x**5 + 14/3*x**2 - 2*x**3 + 0 - 14/3*x**a = 0.
-1, 0, 2/5, 1
Let -44*x + 92*x**5 + 2*x**2 + 27*x - 91*x**5 + 8*x**4 - x**4 + 34*x - 18*x**3 - 9 = 0. What is x?
-9, -1, 1
Let c be 12/(-1)*(2 + (-17)/4). Solve 7066*v**5 + 15 - 7086*v**5 - 115*v**4 - 210*v**3 - 10*v + c*v**2 - 167*v**2 = 0 for v.
-3, -1, 1/4
Let s(n) be the second derivative of 5*n**7/42 - 17*n**6/2 - 105*n**5/4 - 265*n**4/12 - 2*n - 239. Factor s(i).
5*i**2*(i - 53)*(i + 1)**2
Let y be 8*((-6)/(-12) - -1). Find b such that 7*b + 580*b**3 + y + 5*b + 5*b**2 + 3*b**4 - 14*b**2 - 586*b**3 = 0.
-1, 2
Suppose -816*o + 426 + 2838 = 0. Factor 0 + 2/7*m**o + 16/7*m**3 + 0*m + 32/7*m**2.
2*m**2*(m + 4)**2/7
Let o be (0 + -1)/(2/(-4)). Let z = 1019 + -1017. Find c such that -10 + 4*c**o + z + 4 = 0.
-1, 1
Factor 5412/7*x**2 - 10792/7*x - 130*x**3 + 7184/7 + 2/7*x**4.
2*(x - 449)*(x - 2)**3/7
What is k in -2421*k - 3*k**2 + 2 - 2 + 5722*k - 1960*k = 0?
0, 447
Let j be 5/(-35)*-14*8/12. Suppose -20*v**2 + 56/3*v**3 + j*v**4 + 0 + 0*v = 0. What is v?
-15, 0, 1
Let j = 32 - 36. Let a = 21 - j. Find y, given that -a + 2*y - 87*y**2 - 12*y + 86*y**2 = 0.
-5
Let t(i) be the third derivative of i**7/105 + i**6/60 - 11*i**5/15 + 11*i**4/3 - 8*i**3 + i**2 - 104. What is s in t(s) = 0?
-6, 1, 2
Let x(q) be the third derivative of q**6/80 + 37*q**5/40 + 323*q**4/16 - 361*q**3/4 - 25*q**2 - 20. Factor x(w).
3*(w - 1)*(w + 19)**2/2
What is q in 2394 + 25*q**2 - 750*q + 5751 - 1876 - 20060*q + 2051 = 0?
2/5, 832
Let t(v) be the first derivative of -2/3*v + 1/6*v**3 + 14 - 1/24*v**4 + 0*v**2. Solve t(d) = 0 for d.
-1, 2
Let q(j) be the second derivative of -j**6/162 + 23*j**5/270 + 5*j**4/27 - 85*j**3/6 - 54*j. Let m(h) be the second derivative of q(h). Let m(a) = 0. What is a?
-2/5, 5
Let x(o) be the first derivative of 3*o**4/2 - 130*o**3/3 - 24*o**2 + 88*o - 7008. Solve x(h) = 0 for h.
-1, 2/3, 22
Let l(w) be the second derivative of 1 - 4/15*w**6 + 4*w**2 - 37*w + 0*w**4 + w**5 - 10/3*w**3. Find s such that l(s) = 0.
-1, 1/2, 1, 2
Suppose 11 = 7*s - 3. Factor -2*c**4 - 14*c**3 + 3 - 4 - 12*c - 14*c - 30*c**s - 7.
-2*(c + 1)**3*(c + 4)
Let i = 22 + -19. Suppose 299*q**3 - 1469*q**3 - 484*q**4 + 640*q - 64 - 1248*q**2 - 590*q**i = 0. Calculate q.
-2, 2/11
Let k(u) = -u - 1. Let l be k(-4). Find p, given that -5*p**5 - p**2 + 50 - 12568*p**4 - 9*p**2 + 12528*p**4 + 85*p - 80*p**l = 0.
-5, -2, -1, 1
Factor 390*y - 25 + 20*y - 15*y**2 + 25.
-5*y*(3*y - 82)
Let w = -52 + 87. Factor 16*u**4 + 23*u**4 - 4*u**2 - w*u**4.
4*u**2*(u - 1)*(u + 1)
Let u be (27 + (2 - 31))*(-1)/8. Let d(p) be the second derivative of 0 - 5/6*p**3 + 5/12*p**4 - 7*p + 0*p**2 - 1/6*p**6 + u*p**5. Let d(t) = 0. Calculate t.
-1, 0, 1
Let o(r) be the first derivative of -r**6/3 + 6*r**5/5 + 4*r**4 - 16*r**3 - 16*r**2 + 96*r + 1371. Find i, given that o(i) = 0.
-2, 2, 3
Let -1/4*n**5 + 0 + 0*n - 37/4*n**4 + 59/2*n**3 - 20*n**2 = 0. Calculate n.
-40, 0, 1, 2
Let b be 71 + -60 + 11/(-1). Let n(c) be the third derivative of -1/280*c**6 - 19*c**2 + 0*c + 1/14*c**3 + b - 3/56*c**4 + 3/140*c**5. Factor n(q).
-3*(q - 1)**3/7
Solve 0 - 5/6*l**4 + 5/6*l**2 + 5/6*l**5 - 5/6*l**3 + 0*l = 0.
-1, 0, 1
Let h(p) = -2*p**3 + 10*p**2 + 50*p - 300. Let x(t) = -4*t**3 + 19*t**2 + 100*t - 600. Let m(v) = 10*h(v) - 4*x(v). Find i, given that m(i) = 0.
-5, 5, 6
Let a(u) be the second derivative of 23 - 2*u - 1/18*u**4 - 7/9*u**2 - 22/27*u**3. Solve a(f) = 0.
-7, -1/3
Let j(d) be the second derivative of 25*d**2 + 5/12*d**4 - 35/6*d**3 + 0 - 79*d. Factor j(o).
5*(o - 5)*(o - 2)
Let z(m) be the first derivative of m**3/18 - 176*m**2/3 + 703*m/6 - 1682. What is t in z(t) = 0?
1, 703
Factor -43*v**3 - 37 + 12*v**3 - 1972*v + 27*v**3 - 1976*v**2 + 37.
-4*v*(v + 1)*(v + 493)
Let r = -198 - -200. Find f, given that -4*f - 3*f**3 + 0*f**3 + 4*f**3 - 3*f**3 - 6*f**r = 0.
-2, -1, 0
Factor -115*l**3 - 20*l**3 - 345*l**2 - 5*l**4 + 640*l**2 + 1320 + 688*l**2 + 82*l**2 + 2515*l.
-5*(l - 8)*(l + 1)**2*(l + 33)
Let a = -2007 + 926. Let o be a/391 + (-1 - -4). Suppose -18/17*g**2 + 0 + 8/17*g**3 + o*g = 0. Calculate g.
0, 1/4, 2
Let r = -1 - -3. Suppose -1098 = 3*p - 4*k - 1110, -k = -p + 3. Solve 1/2*m**3 - 1/2*m**r + 0*m + p = 0.
0, 1
Solve -6664/9 + 2/3*n**2 - 9992/9*n = 0 for n.
-2/3, 1666
Let q(b) be the third derivative of b**5/12 - 275*b**4/6 - 2240*b**3/3 + 4*b**2 + 17*b - 1. Find y, given that q(y) = 0.
-4, 224
Let i(b) be the second derivative of b**5/20 + 175*b**4/12 + 173*b**3/3 - 68*b + 14. Factor i(o).
o*(o + 2)*(o + 173)
Let t = -52 + -13. Let z = 70 + t. Let v(a) = -5*a**3 + 15*a + 6. Let l(b) = -5*b**3 + 15*b + 5. Let y(i) = z*v(i) - 4*l(i). Suppose y(w) = 0. What is w?
-1, 2
Find t, given that 0 + 1/3*t**2 - 1/3*t**4 + 1/2*t + 1/6*t**5 - 2/3*t**3 = 0.
-1, 0, 1, 3
Factor -35*o**3 + 0*o + 0 - 1/2*o**5 - 37/2*o**4 + 0*o**2.
-o**3*(o + 2)*(o + 35)/2
Let a be (-12560)/(-104) + (-42)/(-182). Suppose a*u - 251*u = -124*u. Factor -10/9*z**4 + u - 16/9*z**3 - 8/9*z**2 - 2/9*z**5 + 0*z.
-2*z**2*(z + 1)*(z + 2)**2/9
Let b(y) = y**2 + 1197*y - 12066. Let v be b(10). Factor 32/3 - v*z - 2/3*z**2.
-2*(z - 2)*(z + 8)/3
Let h(c) = -2*c**2 - 20*c. Let q(y) = -9*y**2 - 84*y + 117. Let s(k) = -4*h(k) + q(k). Factor s(p).
-(p - 9)*(p + 13)
Let -37*c**3 + 199 + 160*c - 7*c**5 + 2*c**5 - 28*c**3 - 39 + 40*c**4 - 110*c**2 = 0. Calculate c.
-1, 2, 4
Let u(x) = -20*x**2 - 51*x - 49. Let k(p) = -5*p**2 - 7*p - 12. Let b(i) = -i. Let w(z) = -6*b(z) - k(z). Let o(n) = -2*u(n) - 9*w(n). Factor o(q).
-5*(q + 1)*(q + 2)
Factor -2/3*c**3 - 112/3*c + 0 - 38*c**2.
-2*c*(c + 1)*(c + 56)/3
What is p in -62/13*p**2 - 66/13 - 10*p + 2/13*p**3 = 0?
-1, 33
Factor 23*v**5 - 185*v**4 - 205 + 350*v - 1210*v**2 + 309*v**3 + 481*v**3 + 465*v - 46*v**5 + 18*v**5.
-5*(v - 1)**4*(v + 41)
Suppose 12*z - 69*z = 42 - 270. Let m(v) be the third derivative of -v**2 + 0*v + 1/24*v**z - 1/84*v**5 - 1/21*v**3 + 0. Factor m(n).
-(n - 1)*(5*n - 2)/7
Let h(z) = z**3 + z**3 + 13*z**2 + 3*z - 2*z**3 - 144 + 128 + 2*z**3. Let q be h(-6). Factor -1/2 + 1/4*j**3 - j**q + 5/4*j.
(j - 2)*(j - 1)**2/4
Let h(s) = -322*s - 44. Let g be h(2). Let v = g - -8946/13. Let 128/13 + v*c**2 + 32/13*c = 0. Calculate c.
-8
Let l(v) = v**3 - 1182*v**2 + 57613*v + 58856. Let c(y) = 591*y**2 - 28806*y - 29433. Let t(n) = 5*c(n) + 3*l(n). Factor t(p).
3*(p - 99)**2*(p + 1)
Suppose -355*x + 371*x = 32. Let f(d) be the first derivative of 10/9*d**x + 1/18*d**4 - 14/27*d**3 + 16 + 0*d. Solve f(z) = 0.
0, 2, 5
Let z(n) be the third derivative of 0 + 12*n**2 + 0*n**3 - 1/210*n**7 + 0*n**5 - 1/10*n**6 + 0*n**4 + 4*n. Factor z(o).
-o**3*(o + 12)
Let t be -3 + ((-6)/((-21960)/19167) - 2). Let x = t + 4/305. Factor 1/4*l**4 + 0 - 1/4*l + 1/4*l**3 - x*l**2.
l*(l - 1)*(l + 1)**2/4
Let i(x) be the second derivative of 0 + 5/3*x**4 - 5/2*x**3 + 1/4*x**5 - 45*x**2 + 134*x. What is s in i(s) = 0?
-3, 2
Let u(t) be the second derivative of -t**4/4 - 235*t**3/2 - 1386*t**2 + 956*t. Suppose u(b) = 0. Calculate b.
-231, -4
Find v, given that 44/9 - 106/9*v + 34/9*v**2 + 4/9*v**3 = 0.
-11, 1/2, 2
Let t = 203 + -200. Suppose -k**