. Let g(y) = -3*q(y) + 40*z(y). Factor g(j).
-5*(j - 1)*(j + 34)
Let b(q) = 11*q**2 - 177*q + 16. Let u be b(16). Let s(g) be the first derivative of u*g**5 + 0*g - 15 - 1/4*g**6 + g**3 + 0*g**2 + 9/8*g**4. Factor s(m).
-3*m**2*(m - 2)*(m + 1)**2/2
Let x(w) = 168*w**2 - 7894*w - 92. Let p be x(47). What is c in -14/17*c**3 - p*c**2 - 2/17*c**4 - 12/17 - 2*c = 0?
-3, -2, -1
Find p such that 0*p - p**4 + 0 - 11/2*p**5 + 36*p**2 + 198*p**3 = 0.
-6, -2/11, 0, 6
Let n(y) be the third derivative of -11*y**8/336 + 13*y**7/210 + 8*y**6/15 - 14*y**5/15 - 10*y**4/3 + 8*y**3/3 + 10*y**2 - 42. Determine f, given that n(f) = 0.
-2, -1, 2/11, 2
Let y(k) be the second derivative of -k**5/25 - 14*k**4/5 + 2*k**3/15 + 84*k**2/5 + 250*k. Factor y(i).
-4*(i - 1)*(i + 1)*(i + 42)/5
Let v(j) be the second derivative of -j**5/130 - 22*j**4/39 - 105*j**3/13 + 8517*j. Factor v(b).
-2*b*(b + 9)*(b + 35)/13
Let q(u) be the first derivative of 3*u**5/5 + 9*u**4 + 22*u**3 - 126*u**2 + 147*u + 5717. Factor q(s).
3*(s - 1)**2*(s + 7)**2
Let h(k) be the second derivative of 7*k**6/150 - 19*k**5/75 - k**4/5 + 73*k**2 + 5*k + 3. Let z(x) be the first derivative of h(x). Factor z(l).
4*l*(l - 3)*(7*l + 2)/5
Let x(f) = f - 3. Let l be x(6). Suppose 4*s - 16 = 4*b, -s + 0*s + 20 = l*b. Factor 2*c**2 - 7*c**2 - c**2 + 2*c**3 + s.
2*(c - 2)**2*(c + 1)
Suppose 5*z - 4*l = 4, 18*z + 5*l = 16*z + 28. Let i(v) be the second derivative of 1/19*v**4 - 1/190*v**5 + 0*v**2 - 3/19*v**3 + 0 + z*v. Factor i(f).
-2*f*(f - 3)**2/19
Let d(n) be the second derivative of -n**5/70 - 9*n**4/7 - 29*n**3/3 - 150*n**2/7 - 15679*n. Find m such that d(m) = 0.
-50, -3, -1
Let n(m) be the second derivative of -m**6/30 + 3*m**5/4 - 9*m**4/4 + 13*m**3/6 - 1621*m. Factor n(w).
-w*(w - 13)*(w - 1)**2
Let x(m) = -28*m**3 + 249*m**2 - 533*m + 346. Let g(p) = 111*p**3 - 998*p**2 + 2126*p - 1382. Let w(r) = 2*g(r) + 9*x(r). Find i such that w(i) = 0.
7/6, 2, 5
Let c(a) be the third derivative of -a**7/105 + 185*a**6/24 - 108103*a**5/60 + 33235*a**4/3 - 26450*a**3 - 652*a**2. What is i in c(i) = 0?
1, 3/2, 230
Let r = 3239211/5 + -647835. Factor -r*q**4 - 4/5 + 96/5*q**3 + 32/5*q - 88/5*q**2.
-4*(q - 1)**2*(3*q - 1)**2/5
Suppose -343 - 146*i + 156 + 102 + 97 + 24*i**2 = 0. What is i?
1/12, 6
Let f(j) be the second derivative of j**4/66 + 4*j**3/11 + 20*j**2/11 + 1759*j. Determine a so that f(a) = 0.
-10, -2
Let g(j) be the second derivative of -8/51*j**4 + 1/17*j**3 + 10/17*j**2 + 293*j - 1/357*j**7 - 1/85*j**5 + 2/85*j**6 + 0. Suppose g(k) = 0. Calculate k.
-1, 1, 2, 5
Determine q so that -140*q + 0*q**4 + 139*q**3 + 6*q**4 - q**4 + q**3 + 127 + 975*q**2 - 1107 = 0.
-14, -1, 1
Let t(d) be the second derivative of d**6/30 - 319*d**5/20 - d**4/4 + 955*d**3/6 + 319*d**2 + 769*d. Factor t(r).
(r - 319)*(r - 2)*(r + 1)**2
Let j(z) be the third derivative of z**6/120 + 37*z**5/30 + 989*z**4/24 - 532*z**3/3 + 5517*z**2. Solve j(i) = 0.
-56, -19, 1
Let c(l) = 146*l**2 - 15559*l - 10062112. Let h(i) = -23*i**2 + 2593*i + 1677019. Let j(z) = 3*c(z) + 19*h(z). Factor j(r).
(r + 1295)**2
Let p be 6/27 - 0 - 125/(-45). Solve -10*b**5 + 83*b**3 - 188*b**3 - 35*b**2 + 75*b**p + 75*b**4 = 0 for b.
-1/2, 0, 1, 7
Suppose -2953*p = -3001*p + 144. Find n, given that 0 + 6/11*n**p + 20/11*n**2 + 2/11*n**5 + 0*n - 12/11*n**4 = 0.
-1, 0, 2, 5
Let l = 126115 + -126112. Factor 0 - 1/3*r + 1/9*r**l - 2/9*r**2.
r*(r - 3)*(r + 1)/9
Let p(n) be the second derivative of -7*n**4/4 - 44*n**3/3 + 93*n**2/2 + 125*n. Let h(z) = -8*z**2 - 29*z + 31. Let q(g) = 8*h(g) - 3*p(g). Factor q(a).
-(a - 31)*(a - 1)
Let 42*t**2 - 6*t**4 + 195/8*t + 0 + 3/8*t**5 + 45/4*t**3 = 0. Calculate t.
-1, 0, 5, 13
Let j be 12/34 - 4788/(-2907). Let a(x) be the first derivative of -75/2*x**4 - 95/3*x**3 + 4*x - 15 - 2*x**j. Factor a(h).
-(5*h + 2)**2*(6*h - 1)
Factor -3/2*f**3 - 3*f**2 + 6*f + 12.
-3*(f - 2)*(f + 2)**2/2
Factor -288*r**2 + 102*r**2 + 94*r**2 + 21*r - 57*r + 95*r**2 + 60.
3*(r - 10)*(r - 2)
Let o(q) be the second derivative of -q**8/336 - 2*q**7/105 - q**6/120 + q**5/10 - 171*q**2/2 - 105*q. Let k(b) be the first derivative of o(b). Factor k(l).
-l**2*(l - 1)*(l + 2)*(l + 3)
Let m(w) be the first derivative of -w**4/2 + 86*w**3/3 - 467*w**2 + 850*w + 8467. Determine g, given that m(g) = 0.
1, 17, 25
Let n = 57 - 37. What is m in 3*m - 13*m - 13330*m**2 + 5*m**4 + 13355*m**2 - n*m**3 = 0?
0, 1, 2
Let j(i) be the third derivative of i**5/30 - 49*i**4/12 + 130*i**3 - 1220*i**2. Suppose j(u) = 0. What is u?
10, 39
Let b(q) be the first derivative of 11*q**5/25 + 19*q**4/10 - 8*q**3/5 + 125. Factor b(t).
t**2*(t + 4)*(11*t - 6)/5
Suppose 0 = -4*b - 4*y, 5*b = 3*b - 0*b - y. Let f(i) be the third derivative of 1/60*i**5 + b*i**3 + 3*i**2 - 1/12*i**4 + 0*i + 0. Factor f(n).
n*(n - 2)
Let g(v) be the first derivative of v**4/7 + 38*v**3/3 - 348*v**2/7 - 414*v/7 + 1550. Factor g(l).
2*(l - 3)*(l + 69)*(2*l + 1)/7
Suppose 94*c - 128 = 12*c + 36. Suppose 8/3 + 1/3*y**c + 3*y = 0. Calculate y.
-8, -1
Let d = -1175 + 1177. Let w be d*5 + 1872/(-195). Suppose -2/5 - 2/5*j**3 + 2/5*j**2 + w*j = 0. What is j?
-1, 1
Let x be 674/6 + (-3 - 2) + 2. Let y = x + -92. Solve -14/3*u**5 + y*u**4 + 0 - 40/3*u**3 - 16/3*u**2 + 0*u = 0 for u.
-2/7, 0, 2
Let m(u) be the first derivative of -u**6/90 - u**5/2 + 11*u**4/3 - 68*u**3/9 - 309*u - 90. Let q(r) be the first derivative of m(r). What is w in q(w) = 0?
-34, 0, 2
Let p be 24 - (-2392)/(-56) - -19. Factor -10/7*v**2 + p*v + 16/7*v**3 - 8/7*v**4 + 0.
-2*v*(v - 1)*(2*v - 1)**2/7
Let s(q) be the third derivative of -q**7/210 - 119*q**6/120 - 59*q**5/30 + 2*q**2 + q + 1367. Factor s(o).
-o**2*(o + 1)*(o + 118)
Suppose -m = -3*p - 0*m + 11, 0 = -4*m - 20. Factor -q**p + 281*q - 125*q - 225 - 126*q.
-(q - 15)**2
Suppose -50 - 22*z**5 - 20*z**4 + 11*z + 46*z**5 + 20*z - 19*z**5 - 40*z**3 + 70*z**2 + 4*z = 0. Calculate z.
-2, -1, 1, 5
Let m(b) = 2*b**2 + 4940*b - 1023550. Let n(u) = -u**2 - 1646*u + 341189. Let v(h) = -3*m(h) - 8*n(h). Determine i, given that v(i) = 0.
413
Let g be ((-4 - -4)*-1)/(4*5/10). Let k(v) be the third derivative of -2/3*v**4 + 4/15*v**5 - 16*v**2 + 0*v + 0*v**3 + g - 1/30*v**6. Solve k(h) = 0.
0, 2
Suppose 4*k = -4*a, -3*a = -0*k + k - 4. Let -m - 5 - 3 + 11*m + 5*m**a - 7 = 0. What is m?
-3, 1
Let y be (88/26)/((-518)/(-2405)). Factor 2/7*u**3 + 150/7 + 26/7*u**2 + y*u.
2*(u + 3)*(u + 5)**2/7
Let t(k) be the third derivative of k**6/210 + 22*k**5/15 + 2*k**2 + 2*k + 3548. Factor t(m).
4*m**2*(m + 154)/7
Factor 772/7*n**2 + 4/7*n**4 - 120/7*n**3 + 1920/7*n + 1024/7.
4*(n - 16)**2*(n + 1)**2/7
Let z be 138 - (-25)/(50/12). Factor -135/2*c**4 + 372*c - z - 25/4*c**5 - 67*c**2 - 849/4*c**3.
-(c + 4)**3*(5*c - 3)**2/4
Suppose -w - f - 2 = 0, -334*w - 8 = -332*w + 4*f. Determine j so that -2/7*j**4 - 2/21*j**5 + 4/21*j - 2/21*j**3 + 2/7*j**2 + w = 0.
-2, -1, 0, 1
Suppose 2*m + 2*r + 22 = 0, r = -358*m + 334*m + 58. Find k, given that 8/3 + 2*k**m - 86/9*k**2 + 88/9*k = 0.
-2/9, 2, 3
Let g(u) be the first derivative of 40 - 14/9*u**3 + 2*u**2 + 0*u + 2/15*u**5 + 0*u**4. Factor g(d).
2*d*(d - 2)*(d - 1)*(d + 3)/3
Let l(p) be the second derivative of p**6/150 - 39*p**5/100 + 9*p**4 - 504*p**3/5 + 2592*p**2/5 - 277*p. Solve l(j) = 0 for j.
3, 12
Let y(d) = -23035*d**2 + 13600*d + 235. Let m(s) = 1772*s**2 - 1046*s - 18. Let v(r) = 40*m(r) + 3*y(r). Factor v(h).
5*(5*h - 3)*(71*h + 1)
Find a such that -72/7*a**3 + 144/7*a**2 + 2/7*a**5 - 4/7*a**4 + 0 + 0*a = 0.
-6, 0, 2, 6
Let z(o) be the first derivative of -o**5/35 - 11*o**4/14 + o**3/21 + 11*o**2/7 - 6118. Let z(l) = 0. Calculate l.
-22, -1, 0, 1
Let g(j) be the second derivative of j**5/20 - 11*j**4/12 - 31*j**3/2 - 153*j**2/2 - 2044*j. Factor g(q).
(q - 17)*(q + 3)**2
Let q = 465 - 417. What is n in q*n + 15*n**2 - 5*n**3 - 7*n**2 - 2*n**3 + 24*n**2 + 11*n**3 = 0?
-6, -2, 0
Let g(x) be the second derivative of -1/120*x**6 + 0*x**3 + 0 - 16*x + 1/16*x**5 - 1/12*x**4 + 0*x**2. Solve g(u) = 0.
0, 1, 4
Let j(z) be the first derivative of z**6/120 - z**4/48 - 202*z + 196. Let v(r) be the first derivative of j(r). Factor v(l).
l**2*(l - 1)*(l + 1)/4
Suppose 405*b - 1245 = 156*b. Let -9/4*z - 3/2*z**2 + 0*z**4 + 3/2 + 3*z**3 - 3/4*z**b = 0. What is z?
-2, -1, 1
Fin