ative of 0 + 1/78*q**4 + 0*q**3 + 8*q + c*q**2. Find d such that k(d) = 0.
0
Let b(z) be the first derivative of z**5 - 35*z**4/4 + 70*z**3/3 - 20*z**2 - 74. Find i such that b(i) = 0.
0, 1, 2, 4
Let g be 2 - (0/(-2) + 0). Let y be (-16 + -6 - -17)*(-1)/1. Determine u, given that 1/4*u**y - 1/2*u**4 + 0 + 0*u + 0*u**g + 1/4*u**3 = 0.
0, 1
Let t = 3/526 - -765/4208. Let j(o) be the first derivative of 1/8*o**2 + t*o**4 - 1/20*o**5 - 1/4*o**3 + 0*o + 2. Find m such that j(m) = 0.
0, 1
Let a(w) be the first derivative of -40*w + 5*w**3 + 5/4*w**4 - 15*w**2 + 5. Solve a(z) = 0.
-4, -1, 2
Let r = 3/65 + -43/2340. Let y(n) be the second derivative of 1/6*n**2 + 1/60*n**5 - r*n**4 - 1/18*n**3 - 6*n + 0. Factor y(w).
(w - 1)**2*(w + 1)/3
Let k = -22 - -31. Suppose -7*s + 4*s = -k. Factor -6/5*b + 0 + 21/5*b**3 - s*b**2.
3*b*(b - 1)*(7*b + 2)/5
Let h(o) = 5*o**3 + 153*o**2 + 979*o - 1125. Let y(d) = 5*d**3 + 155*d**2 + 980*d - 1125. Let w(n) = 5*h(n) - 4*y(n). Solve w(j) = 0 for j.
-15, 1
Let q = 39 + -157. Let v = -227/2 - q. Factor 3/2 + v*n**2 - 9/2*n - 3/2*n**3.
-3*(n - 1)**3/2
Let n = -1 + 2. Let m = -82 + 81. Let o(g) = g**2 + g. Let x(b) = -b**2 - 3*b. Let w(k) = m*o(k) + n*x(k). Factor w(v).
-2*v*(v + 2)
Let t be 18 - 20 - 4*-5. Find s such that -14*s**3 - 8*s + 66*s**2 - 16 - t*s - 10*s = 0.
-2/7, 1, 4
Suppose 152/5*d**2 + 0 + 32/5*d + 32*d**3 - 10*d**4 = 0. What is d?
-2/5, 0, 4
Let s be -145*(-350)/28420 - (0 - (-4)/14). Let -3 + 9/2*k**2 + 3/2*k - 3/2*k**4 - s*k**3 = 0. Calculate k.
-2, -1, 1
Let j be 2/5 - 90/(-25). Let f(i) = i**2 - 5*i + 8. Let z be f(j). Factor 1/3 - a + 4/3*a**z - 5/3*a**2 + a**3.
(a - 1)*(a + 1)**2*(4*a - 1)/3
Let h(d) be the second derivative of 2*d**6/5 - 19*d**5/5 + 13*d**4 - 58*d**3/3 + 12*d**2 - 9*d + 23. Find i, given that h(i) = 0.
1/3, 1, 2, 3
Let f = -1/19804 + 475303/138628. Solve 22/7*c**4 - 20/7*c**3 - 40/7*c**2 - 4/7*c**5 + 18/7 + f*c = 0 for c.
-1, -1/2, 1, 3
Let y be -3 - (0 - (6 - 2)). Let c = 15 - 13. Factor -y - 4*f**2 + f + c*f + 0*f**2 + 2.
-(f - 1)*(4*f + 1)
Let p(a) be the second derivative of -a**9/21168 + a**7/1960 - a**6/1260 - 31*a**3/6 + 22*a. Let o(x) be the second derivative of p(x). Solve o(i) = 0 for i.
-2, 0, 1
Let a = 8/285 - -106/285. Let -a*g**2 + 0 - 2/5*g = 0. What is g?
-1, 0
Let v(i) be the second derivative of -5*i**8/224 + i**7/112 + i**6/15 + i**5/20 - 3*i**3/2 - 11*i. Let w(s) be the second derivative of v(s). Factor w(q).
-3*q*(q - 1)*(5*q + 2)**2/2
Factor -8*d + 70 + 3*d**4 + 5*d - 9*d**3 + 9*d**2 - 70.
3*d*(d - 1)**3
Let j(h) be the second derivative of -h**5/35 + h**4/42 + h**3/21 + 117*h. Factor j(y).
-2*y*(y - 1)*(2*y + 1)/7
Suppose -s - 7 + 0 = -2*f, 5 = 5*s - 2*f. Determine c, given that 5 - 10*c**s + 10*c + 16*c**2 - 5*c**4 - 16*c**2 = 0.
-1, 1
Let s(w) = -5 + 3*w - 4*w - 2. Let f be s(-11). Solve j**2 + 3*j**3 - 2*j**4 + 0*j + 3*j - 6*j + 1 + 0*j**f = 0 for j.
-1, 1/2, 1
Let l(w) = 24*w**4 + 1050*w**3 - 1438*w**2 + 468*w. Let y(u) = 25*u**4 + 1049*u**3 - 1439*u**2 + 466*u. Let a(k) = -7*l(k) + 6*y(k). Solve a(f) = 0 for f.
-60, 0, 2/3
Let o = -23/134 - -5643/34438. Let s = 528/1799 + o. Factor -1/7*v**3 + s*v**4 + 0*v + 0 + 1/7*v**5 - 2/7*v**2.
v**2*(v - 1)*(v + 1)*(v + 2)/7
Let w(v) be the second derivative of -21*v - 1/5*v**5 + 0*v**3 + 0*v**4 + 0*v**2 + 0 + 2/15*v**6. Suppose w(j) = 0. What is j?
0, 1
Factor 123/4*t**4 + 0 + 330*t**3 + 0*t + 3/4*t**5 + 300*t**2.
3*t**2*(t + 1)*(t + 20)**2/4
Let f be -5 + -2 + 5/(60/4). Let y = f - -7. Factor 0*k - 1/3*k**2 + 0 + y*k**3.
k**2*(k - 1)/3
Let i(k) be the first derivative of k**7/21 - 2*k**6/9 + 2*k**5/5 - k**4/3 + k**3/9 - 12*k - 3. Let y(h) be the first derivative of i(h). Factor y(f).
2*f*(f - 1)**3*(3*f - 1)/3
Let v(l) be the third derivative of 27*l**6/140 + 6*l**5/35 + l**4/21 - 78*l**2. Let v(d) = 0. What is d?
-2/9, 0
Let d(r) be the first derivative of r**3/4 - 51*r**2/4 + 867*r/4 - 110. Solve d(u) = 0.
17
Let c(f) be the second derivative of f**10/166320 - f**8/36960 - f**4/6 - 10*f. Let d(z) be the third derivative of c(z). Factor d(h).
2*h**3*(h - 1)*(h + 1)/11
Find x such that -2 - 1/2*x + 1/4*x**2 = 0.
-2, 4
Let z(q) be the third derivative of q**7/70 + q**6/10 + q**5/5 - 83*q**2. Factor z(o).
3*o**2*(o + 2)**2
Suppose -239*m = -31*m - 624. Factor 9/5*o**2 + 0 + 6/5*o + 3/5*o**m.
3*o*(o + 1)*(o + 2)/5
Find v such that 525 + 113*v - 51*v + 436 + v**2 = 0.
-31
Let r be 43845/2035 - 1*19. Suppose -98/11 - 2/11*v**2 + r*v = 0. Calculate v.
7
Let a(r) be the second derivative of -r**4/4 + 145*r**3/2 + 219*r**2 + 3*r + 138. Find l such that a(l) = 0.
-1, 146
Let r(m) be the second derivative of -m**6/15 - 19*m**5/10 - 119*m**4/6 - 245*m**3/3 - m - 178. Find g, given that r(g) = 0.
-7, -5, 0
Let n be ((-1)/3)/(28/(-24) - -1). Let c(r) be the third derivative of -1/360*r**6 - 1/90*r**5 - 1/72*r**4 + 0*r + n*r**2 + 0*r**3 + 0. Factor c(z).
-z*(z + 1)**2/3
Let j(d) be the third derivative of 169*d**7/210 - 143*d**6/60 + 23*d**5/20 + 11*d**4/6 + 2*d**3/3 - 46*d**2. What is l in j(l) = 0?
-2/13, 1
Let u(v) be the third derivative of -v**7/315 - v**6/36 - v**5/10 - 7*v**4/36 - 2*v**3/9 - 96*v**2 + v. Find q such that u(q) = 0.
-2, -1
Let z be 6/(-33) + (-322)/(-77). Determine p, given that -295*p - 8 + 295*p + z*p**2 - 28 = 0.
-3, 3
Suppose 7*b**2 - 260*b - 623 - 3*b**2 - 555 + 1434 = 0. What is b?
1, 64
Let m(r) be the second derivative of r**4/42 - 8*r**3/3 + 108*r**2/7 - 347*r. Suppose m(t) = 0. What is t?
2, 54
Solve -1/7*w + 2/7*w**3 + 40/7*w**2 - 20/7 - 20/7*w**4 - 1/7*w**5 = 0 for w.
-20, -1, 1
Let x(j) = -j**4 + j**3 + j**2 - 1. Let k(d) = -15*d**4 + 21*d**3 + 54*d**2 - 36*d - 6. Let g(a) = k(a) - 6*x(a). Factor g(q).
-3*q*(q - 3)*(q + 2)*(3*q - 2)
Let t be (-4)/5*(-96)/128. Determine k, given that -6/5*k**4 + t*k**5 + 6/5 - 21/5*k + 24/5*k**2 - 6/5*k**3 = 0.
-2, 1
Factor -1/7*u**2 - 48/7*u + 7.
-(u - 1)*(u + 49)/7
Factor 6*u**5 - 2*u - 3506*u**2 + 3530*u**2 + 44*u**3 - 5 + 28*u**4 + 1.
2*(u + 1)**3*(u + 2)*(3*u - 1)
Suppose 0*d - d = -2. Determine j so that -184 + 184 + 5*j**3 + 10*j + 15*j**d = 0.
-2, -1, 0
Let f(t) be the third derivative of 36*t**2 + 0 + 0*t**3 + 0*t + 1/18*t**4 - 11/90*t**5. Factor f(i).
-2*i*(11*i - 2)/3
Let x(m) = -m**3 - 4*m**2 - 7*m - 4. Let i be x(-2). Let -2*j - 12*j**2 + 4*j + 9*j**2 + 5*j**i = 0. What is j?
-1, 0
Let b(g) = 10*g**2 + 2099*g + 106077. Let m(j) = -5*j**2 - 1048*j - 53039. Let l(p) = 6*b(p) + 13*m(p). Factor l(h).
-5*(h + 103)**2
Suppose 0 = 4*k + 13 - 5, 5*k + 142 = 4*r. Let o = 2 + 3. Solve -r*c**4 + 8 - 28*c - o*c**4 - 26*c**2 + 103*c**3 - 4*c**4 = 0.
-1/2, 2/7, 2/3, 2
Let s(g) = -g**3 + 22*g**2 - 20*g - 19. Let h be s(21). Factor 7 - b**h - 24*b - 1 + 19*b.
-(b - 1)*(b + 6)
Suppose 0 = m + 3*m - 8. Let -12*h**2 + 20*h - 13*h**m + 36 - 40 = 0. Calculate h.
2/5
Let w(s) be the second derivative of 0*s**2 - 1/5*s**3 + 1/70*s**7 + 10*s - 9/100*s**5 + 1/4*s**4 - 1/50*s**6 + 0. Solve w(o) = 0.
-2, 0, 1
Let t(i) = -4*i**2 - 52*i + 8. Let j be t(-13). Let p(k) = -k + 10. Let v be p(j). Solve -1/5*q**v + 0 - 1/5*q = 0 for q.
-1, 0
Let a be (-155)/124*2/(-5)*(-3 + 3). Factor 0 + 4/5*q**2 - 4/5*q**4 + a*q**3 + 2/5*q**5 - 2/5*q.
2*q*(q - 1)**3*(q + 1)/5
Let p(j) be the second derivative of -j**8/420 + j**7/210 - 2*j**3 - 18*j. Let o(q) be the second derivative of p(q). Factor o(u).
-4*u**3*(u - 1)
Let g(u) = u**3 - 4*u**2 + 3*u + 2. Let l be g(3). Suppose 23*b**3 + 41*b**2 - 31*b - 3*b**l - 9*b**2 - 27*b**3 + 6 = 0. What is b?
1/4, 1, 6
Suppose -296*h + 301*h + 15 = 0. Let o(j) = j**3 - j**2 - 11*j + 5. Let w be o(h). Suppose 0*z**w + 8/11*z + 0 - 6/11*z**3 + 2/11*z**4 = 0. Calculate z.
-1, 0, 2
Suppose 0 = -8*b - 8*b + 2*b. Find h such that b - 8/5*h - 6*h**3 + 26/5*h**2 - 2/5*h**5 + 14/5*h**4 = 0.
0, 1, 4
Let y(l) = 3*l**2 - 24*l. Let q be 12/(-7 - -3) - -9. Let x(i) = i**2 + i. Let j(z) = q*x(z) - y(z). Find p, given that j(p) = 0.
-10, 0
Let r(x) be the third derivative of x**7/210 - x**6/60 - x**5/5 + 5*x**4/3 - 16*x**3/3 + 687*x**2. Let r(q) = 0. What is q?
-4, 2
Let j(i) = -2*i**2 - 61*i + 99. Let d be j(-32). Let r = -23/2 - -12. What is h in -1/2*h + 1/2*h**d + 0 + r*h**4 - 1/2*h**2 = 0?
-1, 0, 1
Let x be 165/10*(2 + 34/(-6)). Let b = 62 + x. Factor -b*j**2 + 