o**4 - 1/19*o**3. Determine k so that m(k) = 0.
-1, 0, 3
Suppose 0 = -2*h - 3 + 5, v + h = 17. Suppose -22 = -3*w - 4*n, 2*n - v = -3*w + 4*n. Factor -16*j**2 + 3*j - 20*j**2 + w*j**2 + 4 - j.
-2*(3*j + 1)*(5*j - 2)
Let f be (4 - (-2034)/(-108)) + 15. Let 1/2*n**2 + 0 - 1/2*n**4 + 2/3*n + f*n**5 - 5/6*n**3 = 0. What is n?
-1, 0, 1, 4
Suppose 15*d + 40 = 23*d. Solve -d*n + 3 - 21 + 7*n**2 + 8 - 2*n**2 = 0.
-1, 2
Let r(z) be the first derivative of -5/9*z**2 + 5/18*z**4 - 2/27*z**3 + 2/45*z**5 + 0*z + 99. Find c, given that r(c) = 0.
-5, -1, 0, 1
Let h(l) = 20*l**2 + 145*l + 155. Let r(i) = 7*i**2 - 1726*i + 39 - 2*i**2 + 872*i + 890*i. Let n be 3*2/3 + -6. Let p(d) = n*h(d) + 15*r(d). Factor p(q).
-5*(q + 1)*(q + 7)
Let u(i) = 5*i**3 + 75*i**2 + 32*i + 482. Let m be u(-15). What is q in 6/11*q**4 + 6/11*q**2 + m*q - 2*q**3 - 12/11 = 0?
-1, 2/3, 1, 3
Let l(f) = 2*f**2 + 6*f - 8. Let s be l(3). Let q be (0 + (-4)/(-10))/(s/140). Suppose 91 + 73*y**2 - 36*y - 71*y**q + 71 = 0. Calculate y.
9
Let z(c) be the first derivative of c**7/1680 + c**6/180 + 62*c**3/3 + 13. Let r(q) be the third derivative of z(q). Find a, given that r(a) = 0.
-4, 0
Let y(l) be the first derivative of -4*l**6/3 + 1146*l**5/5 - 143*l**4/2 + 7466. Factor y(x).
-2*x**3*(x - 143)*(4*x - 1)
Suppose -306250 - 700*r - 2/5*r**2 = 0. Calculate r.
-875
Let l be (4 - -148*4/(-144))*(51 + -53). Factor 8/9 + 0*x + l*x**3 - 2/3*x**2.
2*(x - 2)**2*(x + 1)/9
Let a(n) = n**2 - 7*n + 16. Let f be a(7). Suppose 2*b - f + 6 = 0. Factor -16*d - d**4 - b*d - 4*d**3 + 19*d - 5*d**2.
-d*(d + 1)**2*(d + 2)
Let z = -38 - -40. Find q such that -2 + 4*q**2 + 49 - z*q**2 - 20*q - 5 = 0.
3, 7
Let b(o) = o**2 - 1. Let q(y) = 6*y**2 + 2*y - 20. Let i(p) = 5*b(p) - q(p). Let c be i(-4). What is h in -3*h**2 - 12 + 0 + 2*h - c*h - 10*h = 0?
-4, -1
Let s(l) = -18*l**4 - 68*l**3 - 150*l**2 + 224*l + 12. Let a(i) = i**4 - i**3 - i**2 + 2*i - 1. Let z(g) = -12*a(g) - s(g). Factor z(o).
2*o*(o - 1)*(o + 4)*(3*o + 31)
Let o(k) be the first derivative of 13*k**6/51 + 56*k**5/85 - 50*k**4/17 - 32*k**3/51 - 2276. Let o(s) = 0. What is s?
-4, -2/13, 0, 2
Suppose -5*j - 4*d - 20 = -5*d, 3*d - 20 = 5*j. Let c be -2*j/(-8) - -15. Find a, given that 7*a**3 + 3 + 72*a**2 + c*a - a + 41*a**3 + 14*a = 0.
-1, -1/4
Let h(u) be the second derivative of u**7/84 - u**6/120 - 3*u**5/16 - 5*u**4/48 + 13*u**3/24 + 3*u**2/4 - 21*u - 28. Solve h(c) = 0 for c.
-2, -1, -1/2, 1, 3
Let q = 10/16357 - 101326/343497. Let x = 28/33 - q. Factor 0*d - x*d**2 + 4/7 + 4/7*d**4 + 0*d**3.
4*(d - 1)**2*(d + 1)**2/7
Let q(z) be the first derivative of -10*z**3 - 50*z - 60 + 85/2*z**2. Factor q(g).
-5*(g - 2)*(6*g - 5)
Let h(j) = -3*j**3 - 79*j**2 + 945*j - 1620. Let w(c) = -2*c**3 - 39*c**2 + 471*c - 812. Let f(q) = 3*h(q) - 5*w(q). Factor f(g).
(g - 20)**2*(g - 2)
Let k be (-1)/(-6)*-2 - ((-2400)/18)/8. Solve -71/3*y**2 - 5/3*y**3 - 259/3*y - k = 0 for y.
-7, -1/5
Let a(r) = -3*r - 16. Let g be a(-10). Suppose 0 = -2*x + 4*v - 12, 3*x - 3*v + g = 2*v. Factor 3 - 3*j**x + 6*j**3 - 3*j**3 + 1 - 3*j - 1.
3*(j - 1)**2*(j + 1)
Let z = 1043/3 + -347. Find j, given that -z*j**2 + 64/3*j - 512/3 = 0.
16
Suppose 4*h + 5*c - 67 = 0, -4*h - 2*c = -2*h - 34. Let f be h/4*(-1)/(12/(-8)). Let -2/9*l + 2/9*l**2 - 2/9 + 2/9*l**f = 0. Calculate l.
-1, 1
Solve -1/9*r**4 + 0*r - 2/9*r**3 + 0*r**2 + 0 = 0 for r.
-2, 0
Let l(x) be the second derivative of x**5/50 + 17*x**4/30 - 8*x**3/5 - 1008*x**2/5 + 49*x + 2. Solve l(b) = 0.
-12, 7
Factor 2041/3*l + 5/6*l**2 + 272.
(l + 816)*(5*l + 2)/6
Suppose -2*z + 0*z = -22. Suppose z*d - 15 = 7. Let -107*j + 1 - 79*j**2 + 14*j**d - 11 + 32*j = 0. What is j?
-1, -2/13
Factor -n**2 - n + 15/7 - 1/7*n**3.
-(n - 1)*(n + 3)*(n + 5)/7
Suppose 26*h = 5*h - 8*h + 232. Let x(r) be the first derivative of -6*r + r**3 - h - 3/2*r**2. Factor x(g).
3*(g - 2)*(g + 1)
Let l be 12 + -18 - (1/2)/(2/(-44)). Let x(c) be the second derivative of 0*c**4 + 0*c**2 - 1/90*c**l + 0*c**6 + 0 + 1/54*c**3 + 25*c + 1/378*c**7. Factor x(w).
w*(w - 1)**2*(w + 1)**2/9
Let k(x) be the second derivative of -3/8*x**4 - 1/2*x**3 + 13*x - 3/40*x**5 + 0*x**2 - 6. Determine n so that k(n) = 0.
-2, -1, 0
Let f(g) be the second derivative of -g**6/10 - 9*g**5/10 - g**4 + 3*g**3 + 15*g**2/2 - 310*g. Find i such that f(i) = 0.
-5, -1, 1
Let n(m) be the first derivative of -m**7/21 - m**6/3 - 7*m**5/10 - m**4/2 - 19*m + 109. Let c(o) be the first derivative of n(o). Factor c(q).
-2*q**2*(q + 1)**2*(q + 3)
Let c(i) = -i**3 - 14*i**2 - 22*i + 28. Let l be c(-12). Find s such that -40*s - 5*s**3 + l*s**4 - 122*s**2 + 13*s**2 + 59*s**2 + s**4 = 0.
-2, -1, 0, 4
Let z = -2641 - -1607. Let s = 3110/3 + z. Factor 50/3*i + s*i**2 + 4.
2*(i + 6)*(4*i + 1)/3
Suppose 3*o - 7*o + 3*x = -8, -2 = -o - 3*x. Let q be (-7)/(-21)*7/((-147)/(-112)). Solve 4/9*c**3 - q*c + 0*c**o + 16/9 - 1/9*c**4 = 0.
-2, 2
Let f(a) = a**2 - a - 17. Let i be f(5). Let n(k) = -k**3 + 3*k**2 + 5*k - 2. Let p be n(4). Find j such that -9*j - 134 - j - 9*j**p + j + 131 - 3*j**i = 0.
-1
Let t be (-28)/154 + (-2)/(-11) - -3. Suppose 3*a = -a - 3*f + 77, f = t*a - 48. Factor 20 - 3*i - 5*i**2 + 0*i**2 - a*i + 5.
-5*(i - 1)*(i + 5)
Let f = -385 + 395. Let j be (4 + -2)/(f/(-45)*-15). Determine v so that 0 - j*v**2 + 3/5*v = 0.
0, 1
Suppose -43*y - 7551 + 8626 = 0. Let f(k) be the first derivative of 0*k + y + 20*k**3 + k**5 + 20*k**2 + 15/2*k**4. Let f(s) = 0. Calculate s.
-2, 0
Let x(m) = m**3 + 8*m - 7. Let k be x(1). Suppose 5*y - 5*i = 25, -k*y + 0 - 5 = 3*i. Factor -2/3*t**y - 8/3 - 8/3*t.
-2*(t + 2)**2/3
Let t be ((-10)/(-12) - -4) + -4. Let m(k) be the first derivative of t*k**2 + 12 - 1/3*k - 4/9*k**3. Factor m(f).
-(f - 1)*(4*f - 1)/3
Let m(n) = 147*n**2 - 15777*n + 31094488. Let h(l) = 88*l**2 - 7889*l + 15547243. Let b(c) = -5*h(c) + 3*m(c). Solve b(w) = 0 for w.
3943
Let t(b) be the first derivative of 2*b**5/35 + 15*b**4/7 + 2156. Let t(h) = 0. Calculate h.
-30, 0
Let a(m) be the third derivative of -m**5/20 - 7*m**4/4 - 49*m**3/2 - 987*m**2. Determine h, given that a(h) = 0.
-7
Let z(f) be the first derivative of -f**3/7 - 612*f**2/7 - 124848*f/7 - 4683. Factor z(p).
-3*(p + 204)**2/7
Let l(b) = -2*b + 2*b + b**2 - 1. Let m(x) = 1 + 298*x**2 + 292*x**2 + 301*x**2 - x - 885*x**2 - 6. Let k(q) = 11*l(q) - 2*m(q). Factor k(h).
-(h - 1)**2
Let r(u) = -5*u**3 - 2*u**2 + 11*u + 50. Let l(q) = -q**3 - q**2 + 2*q + 9. Let m(g) = -6*l(g) + r(g). Factor m(w).
(w - 1)*(w + 1)*(w + 4)
Suppose 22*l = -25*l + 94. Suppose 0 = -i + 3*v + 12, -2*i - 13*v + 20 = -18*v. Let -1/6*j**l + i - 7/6*j = 0. What is j?
-7, 0
Let z = -19417 + 19423. Let g(s) be the second derivative of 0*s**2 - 1/50*s**5 - 1/25*s**z + 1/10*s**4 + 2/15*s**3 - 1/105*s**7 + 0 - 8*s. Solve g(w) = 0.
-2, -1, 0, 1
Let b = -126 - -128. Factor 11*t - b*t**2 - 23*t + 46 + 56*t.
-2*(t - 23)*(t + 1)
Let 231*o**2 - 527*o - 76*o - 275*o - 24 - 40*o = 0. Calculate o.
-2/77, 4
Solve 21/5*z - 13/5*z**3 + 2*z**2 + 0 - 2/5*z**4 = 0.
-7, -1, 0, 3/2
Suppose -391*h**2 + 38*h - 161*h**2 - 15*h**3 - 797 + 99*h**2 + 869 - 86*h**2 = 0. Calculate h.
-36, -1/3, 2/5
Let x = -54 + 58. Suppose b - 3*z = 5, -b - x*z = -0 - 5. Factor -50*q + 68 + b*q**2 + 5*q**2 - 5*q**2 + 57.
5*(q - 5)**2
Factor 3*x**3 + 9 + 1/2*x**5 + 16*x**2 - 47/2*x - 5*x**4.
(x - 9)*(x - 1)**3*(x + 2)/2
Let a(f) be the third derivative of -7*f - 13/15*f**6 + 0 - 26/3*f**3 + f**2 - 1/84*f**8 + 2/7*f**7 + 9/2*f**4 - 2/15*f**5. Suppose a(z) = 0. Calculate z.
-1, 1, 13
Let m(d) be the third derivative of 0*d + 4/3*d**4 + 0 - 14/3*d**3 - 1/15*d**5 - 86*d**2. Factor m(x).
-4*(x - 7)*(x - 1)
Suppose 124 - 208 = z. Let v be (z/(-8) - 8)/5. Let -b**4 + 0*b + 0 + 1/2*b**5 + 0*b**2 + v*b**3 = 0. What is b?
0, 1
Let n(l) be the second derivative of -12*l**3 + 116*l + 0 + 0*l**2 + 61/3*l**4 + 7/5*l**5. Find b, given that n(b) = 0.
-9, 0, 2/7
Factor -2/5*x**3 + 116/5*x + 224/5 - 2/5*x**2.
-2*(x - 8)*(x + 2)*(x + 7)/5
Let w(a) = 18*a**2 + 19*a - 24. Let v be w(18). Solve 16 + 2*j**5 + 6130*j**2 + 3*j - 11*j + 2*j**3 + 8*j**4 - v*j**2 = 0.
-2, 1
Let c(d) = d**2 + 2*d - 5. Let v be c(5). Solve -v - 12*m**2 - 18*m**2 - 19*m + 22*m + 5*m**3 + 52*m = 0.
1, 2, 3
Let s(f) = 2*f**2 + 7*f - 1. Let z(g) = 52*g**2 - 1224*g 