+ 9*a - 14. Let g(q) = 8*q - 7*q**2 - 6 - 11 + 12 - 7. Let h(w) = -7*g(w) + 6*v(w). Find f such that h(f) = 0.
0, 2
Let a(r) = -3*r + 55. Let s be a(5). Suppose -5*h**4 + h**5 + s*h - 260*h**3 - 262*h**3 + 25*h**2 + 16 + 517*h**3 = 0. Calculate h.
-1, 4
Factor -100/7 - 17590/7*p - 7024/7*p**2 - 702/7*p**3.
-2*(p + 5)**2*(351*p + 2)/7
Let j(f) be the third derivative of 0*f + 0*f**3 + 0 + 1/20*f**5 - 3/4*f**4 - 1/70*f**7 + 117*f**2 + 7/40*f**6 - 1/112*f**8. Suppose j(x) = 0. Calculate x.
-3, -1, 0, 1, 2
Suppose -76*p - 12*p - 28*p + 540 = 64*p. Factor 6/13*u + 0 + 44/13*u**2 + 14/13*u**p.
2*u*(u + 3)*(7*u + 1)/13
Suppose 4*j = l + 307, 5*j - 392 = 2*l + 2*l. Suppose 112*q = 116*q - j. Suppose -5*x**3 + x**3 + q*x**4 - 10*x**5 - 5*x**4 = 0. What is x?
0, 2/5, 1
Factor -52546*x - 38305*x - 52509*x - 4*x**4 - 131072 - 388*x**3 - 11534*x**2 + 4421*x**2 - 5559*x**2.
-4*(x + 1)*(x + 32)**3
Let x(i) = -i**2 - 32*i - 61. Let l = 161 - 158. Let v(p) = -p**2 - 1. Let j(w) = l*v(w) + x(w). Determine d so that j(d) = 0.
-4
Suppose 37*r - 531 - 135 = 0. Let t(v) = -2*v**2 - 5 + 2*v - 8*v - 17*v**2. Let f(u) = -u**2 - 1. Let w(p) = r*f(p) - 2*t(p). Factor w(i).
4*(i + 1)*(5*i - 2)
Let n(b) be the third derivative of b**5/15 + 79*b**4/6 - 1204*b**3/3 + 173*b**2. Factor n(y).
4*(y - 7)*(y + 86)
Let r = 1927625464/346203207 + -424/256257. Let x = 1/193 + r. Factor x*k + 45/7*k**2 + 3*k**3 + 12/7 + 3/7*k**4.
3*(k + 1)**3*(k + 4)/7
Let -2200/9 + 2200/9*h**2 - 4/9*h**3 + 4/9*h = 0. What is h?
-1, 1, 550
Let j = -178 + 7477/42. Let n(a) be the second derivative of 1/2*a**3 + 2/3*a**4 + 0*a**6 - 12*a + 3/10*a**5 + 0 - j*a**7 + 0*a**2. Factor n(i).
-i*(i - 3)*(i + 1)**3
Suppose -3*x + 4*x - 36 = 0. Let m = -19 + x. Suppose -2*o**5 + 20*o**4 + m*o**2 - 5*o**2 - 28*o**3 - 2*o**5 = 0. Calculate o.
0, 1, 3
Let j(r) = 27*r**4 + 140*r**3 + 307*r**2 + 194*r - 4. Let l(p) = 30*p**4 + 140*p**3 + 305*p**2 + 195*p - 5. Let z(k) = 5*j(k) - 4*l(k). Factor z(x).
5*x*(x + 1)*(x + 2)*(3*x + 19)
Let q(f) be the second derivative of f**4/12 + 4067*f**3/3 + 16540489*f**2/2 - f - 7638. Factor q(r).
(r + 4067)**2
Let v(t) be the second derivative of 2 - 486*t**2 + 5*t + 18*t**3 - 1/4*t**4. Factor v(c).
-3*(c - 18)**2
Let w(z) = 30*z**3 - 301*z**2 + 2*z + 82. Let b be w(10). Factor 16/3*o**b + 4/3 - 2*o**3 - 14/3*o.
-2*(o - 1)**2*(3*o - 2)/3
Suppose 574 = -2*b - 5*a, 57 = 3*b + 5*a + 908. Let t = b - -279. Factor -3/2*q**t - 24 + 12*q.
-3*(q - 4)**2/2
Suppose 4*j = -2*u, -4 = 402*j - 406*j - u. Suppose -26/7*k + 2/7*k**j + 24/7 = 0. Calculate k.
1, 12
Let b(l) = 2*l**2 + 7*l + 5. Let f be b(-4). Suppose -f*m = -7*m - 4. Solve 2 - 17*z**2 - 6*z - 12*z**m + 32*z**2 + 1 = 0 for z.
1
Let n(f) be the first derivative of 3*f**5/20 + f**4/4 - 2*f**3 - 6*f**2 + 21*f - 20. Let q(m) be the first derivative of n(m). Factor q(x).
3*(x - 2)*(x + 1)*(x + 2)
Let v(j) be the first derivative of -15*j**4/4 - 9*j**3 + 93*j**2 - 144*j + 2938. Factor v(o).
-3*(o - 2)*(o - 1)*(5*o + 24)
Let r = 3887471/5 + -777493. Determine k so that 0 + 2/5*k**4 - 2*k**2 + 2/5*k**3 + r*k = 0.
-3, 0, 1
Let z(y) = 9*y**2 - 67*y - 66. Let s(w) = -30*w - 93*w**2 - 64 + 30*w**2 - 38*w + 34*w**2 + 40*w**2. Let v(a) = -2*s(a) + 3*z(a). Let v(k) = 0. What is k?
-1, 14
Let j(a) be the second derivative of a**4/12 + a**2/2 - 26*a. Let b(p) = 4*p. Let i(o) = o**2 + 8*o + 9. Let v be i(-7). Let s(r) = v*j(r) + b(r). Factor s(y).
2*(y + 1)**2
Let k = 33 - 21. Factor 0*p**2 - 2*p - k*p**3 - p**2 + p**4 + 14*p**3.
p*(p - 1)*(p + 1)*(p + 2)
Let z(y) = y + 57. Let k be z(-18). Find q, given that -71*q**3 - 28*q - k - 28*q**4 - 61*q**3 + 63 - 156*q**2 = 0.
-3, -1, 2/7
Factor 56 + 33/2*w**3 + 74*w**2 + 1/2*w**4 + 114*w.
(w + 1)*(w + 2)**2*(w + 28)/2
Suppose 12*y - 833 + 569 = 0. Let a(w) be the first derivative of y - 2/3*w**3 + 0*w + 0*w**2. Suppose a(u) = 0. What is u?
0
Let i = 28 + -17. Suppose 2*z - v = -3*z + i, 0 = -z + v + 3. Suppose -w - 2*w**z + 2*w + w = 0. Calculate w.
0, 1
Suppose -4*l = 18 - 58. Let s be (-858)/(-220) - -2*2/40. Suppose 13*k**5 - 6*k**2 - l*k**4 - 3*k**5 - 10*k**3 + 16*k**s = 0. Calculate k.
-1, -3/5, 0, 1
Let h = 40462 - 3398807/84. Let a(q) be the second derivative of 0 + 5/42*q**3 - 2/7*q**2 - h*q**4 - 33*q. Find u, given that a(u) = 0.
1, 4
Let j(n) be the first derivative of 15*n - 5/24*n**4 + 1/4*n**3 - 1/20*n**6 + 17 - 11/40*n**5 + 0*n**2. Let x(q) be the first derivative of j(q). Factor x(y).
-y*(y + 1)*(y + 3)*(3*y - 1)/2
Determine a, given that 34/5*a**2 - 3*a**3 - 2 - 9/5*a = 0.
-2/5, 1, 5/3
Let j(r) be the third derivative of r**7/105 - r**6/6 + 9*r**5/10 - 3*r**4/2 + 188*r**2. Factor j(v).
2*v*(v - 6)*(v - 3)*(v - 1)
Let u(m) be the first derivative of -13/14*m**2 - 12/7*m - 239 - 1/21*m**3. Factor u(r).
-(r + 1)*(r + 12)/7
Let o(n) be the second derivative of n**5/30 - 53*n**4/9 + 1003*n**3/3 - 3468*n**2 - 3282*n. What is c in o(c) = 0?
4, 51
Let u = 3026577/140120 + 3/28024. Determine g so that 108/5*g - 6/5*g**4 + 24*g**2 - u*g**3 - 114/5 = 0.
-19, -1, 1
Let o(w) be the third derivative of -w**6/1080 - w**5/45 - 2*w**4/9 - 3*w**3 - 9*w**2. Let z(x) be the first derivative of o(x). Suppose z(q) = 0. What is q?
-4
Determine o so that 1282 + 3016 + 3100 - o**2 - 252*o - 9342 - 3*o**2 = 0.
-54, -9
Factor 372/5 + 2/5*p**2 + 26*p.
2*(p + 3)*(p + 62)/5
Let h = -1284621/1660 + 49/415. Let b = 774 + h. Solve b - 3/8*c - 1/4*c**2 + 3/8*c**3 = 0.
-1, 2/3, 1
Suppose 5*u = 9*u - 8. Factor -60 - u*k**2 - 18*k + 60.
-2*k*(k + 9)
Let g(q) be the second derivative of q**4/12 - 5*q**3/2 + 22*q**2 + 2*q - 6643. What is n in g(n) = 0?
4, 11
Let q(a) be the first derivative of 21 + 2/3*a**3 + 4/5*a**5 + 1/6*a**6 + 5/4*a**4 + 0*a + 0*a**2. Factor q(y).
y**2*(y + 1)**2*(y + 2)
Let s(x) be the third derivative of x**5/40 - 39*x**4/16 + 19*x**3/2 - 5474*x**2. Factor s(k).
3*(k - 38)*(k - 1)/2
Suppose k + 0*k - 2*n = -10, 0 = 4*k + 3*n - 4. Let v(s) = 3*s**2 + s + 1. Let o(w) = -9*w**3 - 66*w**2 + 19*w - 2. Let r(h) = k*v(h) - o(h). Factor r(b).
3*b*(b + 7)*(3*b - 1)
Suppose 20 = 22*c - 18*c - 10*z, 0 = 5*c + 2*z + 4. Let k(n) = n**3 - n**2 - 3*n + 2. Let g be k(2). Factor g + 1/4*p**3 + c*p**2 - p.
p*(p - 2)*(p + 2)/4
Let w(y) be the first derivative of 5*y**4/4 + 155*y**3/3 - 450*y**2 - 1837. Find t such that w(t) = 0.
-36, 0, 5
Let z(i) = 12*i**4 + 36*i**3 - 104*i**2 + 16*i + 176. Let a(w) = -w**4 + w**3 - w**2 - 2*w - 1. Let x(n) = 16*a(n) + z(n). Factor x(u).
-4*(u - 10)*(u - 2)**2*(u + 1)
Find n such that -2028 - 185*n**2 - 2522*n - 7/2*n**3 = 0.
-26, -6/7
Let g(q) = q**3 - q**2 - q. Let x(h) = h - 24. Let l be x(23). Let n(s) = 6*s**3 + 45*s**2 + 189*s. Let w(r) = l*n(r) + 3*g(r). Factor w(i).
-3*i*(i + 8)**2
Let v(c) be the second derivative of 4*c**5/45 + 29*c**4/18 + 133*c**3/27 - 2*c**2 - 3*c - 1190. Factor v(a).
2*(a + 2)*(a + 9)*(8*a - 1)/9
Let h = 0 - -1. Let c be 5*(-9)/(-15) - -20. Factor c - 4 + 3*s - 5*s**2 - h + 2*s**2.
-3*(s - 3)*(s + 2)
Let q(d) = 3*d - 14. Let b be q(0). Let n(x) = x**2 + 13*x - 2. Let g be n(b). Factor g + 2050*s**2 - 30*s + 28 - 2045*s**2.
5*(s - 4)*(s - 2)
Suppose -16*r**2 + 54*r - r**4 + 18712*r**3 - 6*r + 80 - 18724*r**3 = 0. What is r?
-10, -2, 2
Let v(p) be the first derivative of 3/8*p**2 - 3/20*p**5 - 3/4*p**3 + 88 + 9/16*p**4 + 0*p. Determine m, given that v(m) = 0.
0, 1
Let y be (7 - (-8 + 14))*(7 - 10/2). Factor -1/3*r**3 + 5/3*r**y + 2*r + 0.
-r*(r - 6)*(r + 1)/3
Let w be ((-8 - (-404)/24) + -9)/(4/(-48)). Let a(g) be the first derivative of -2/15*g**3 - 28 - 26/5*g**w - 338/5*g. Find l, given that a(l) = 0.
-13
Let j(l) be the first derivative of 4*l**3/21 + 372*l**2/7 + 416*l + 3688. Solve j(p) = 0 for p.
-182, -4
Let i(f) = -7*f**3 + 6*f**2 + 6*f + 7. Let w be i(-2). Let d = -70 + w. Solve s**2 + 4*s + 2*s + 6*s - d*s = 0 for s.
-7, 0
Let d be -65*(-7)/7 + -7. Suppose -3*j + 12 = 0, -d*j + 57*j = -2*t. Factor -2/9*o - 2/9*o**4 - 2/3*o**3 - 2/3*o**t + 0.
-2*o*(o + 1)**3/9
Let n(c) be the third derivative of c**8/480 - 43*c**7/2520 - 7*c**6/180 - 31*c**5/60 - 4*c**2 - 4*c. Let v(r) be the third derivative of n(r). Factor v(j).
2*(3*j - 7)*(7*j + 2)
Let o = -8176/20185 + 162/367. Let s(y) be the first derivative of 0*y**2 + 0*y + 0*y**4 + 15 - 2/33*y**3 + o*y**5. So