f + 1)
Let q(v) be the first derivative of -v**5 - 63*v**4/4 + 57*v**3 - 133*v**2/2 + 30*v - 52. Determine i, given that q(i) = 0.
-15, 2/5, 1
Let l(a) = -a**2 + 15*a - 10. Let h be l(14). Suppose -9*j + h*j = -i - 12, j - 8 = 3*i. Factor -2*q - 2 - 1/2*q**j.
-(q + 2)**2/2
Let d(v) be the second derivative of -v**2 - 1/6*v**3 + 0 + 1/12*v**4 + 3*v. Factor d(h).
(h - 2)*(h + 1)
Suppose 6 = 5*k - 2*k. Suppose 4*f = -k*z - z + 54, 0 = 3*z - 5*f - 27. Suppose 9*o**3 - 4*o**4 + 3*o + 0*o**4 + z*o**2 + 0*o**4 - 2*o**3 = 0. What is o?
-1, -1/4, 0, 3
Let t(u) be the third derivative of 0 + 14*u**2 + 1/12*u**4 + 0*u + 1/100*u**5 - 4/15*u**3. Let t(d) = 0. What is d?
-4, 2/3
Let s(n) be the second derivative of -n**5/40 - n**4/6 + 11*n**3/12 - 3*n**2/2 + n + 80. Factor s(y).
-(y - 1)**2*(y + 6)/2
Let h(r) be the first derivative of -r**7/3 - 2*r**6/15 + 7*r**5/10 + r**4/3 - 26*r + 37. Let z(a) be the first derivative of h(a). Find m such that z(m) = 0.
-1, -2/7, 0, 1
Let j(d) = d**2 - d + 4. Let i be j(0). Let x be 195/(-2275) + 2/7. Factor 4/5*c**3 + 4/5*c + 6/5*c**2 + x*c**i + 1/5.
(c + 1)**4/5
Let v be (5/12*2)/(135/108). Let a(d) be the first derivative of 6*d + 13 + 4*d**2 + v*d**3. Solve a(h) = 0 for h.
-3, -1
Let s be (2/(-20))/(21/328). Let h = 5/21 - s. Factor 192/5*m**5 + 0 + h*m**2 - 12/5*m**3 - 1/5*m - 16*m**4.
m*(3*m + 1)*(4*m - 1)**3/5
Let t be 2*1/2 + (0 - -2). Let m(z) = 2*z. Let n be m(2). Let -8*g**2 - 32*g**4 + 28*g**n - 2*g**t - 10*g**3 = 0. Calculate g.
-2, -1, 0
Let r(j) be the third derivative of j**6/40 + 3*j**5/5 - 13*j**4/8 - 99*j**2. Factor r(t).
3*t*(t - 1)*(t + 13)
Let g(h) = h**3 + 5*h**2 + 5*h. Let u be g(-2). Factor 6/5*w - 9/5*w**u + 3/5.
-3*(w - 1)*(3*w + 1)/5
Let j(h) = h**3 - 22*h**2 - 23*h + 2. Let y be j(23). Solve 0*i - 8/11*i**y - 48/11*i**3 + 0 - 70/11*i**4 = 0.
-2/5, -2/7, 0
Let h(j) = 4*j - 65. Let y be h(20). Suppose -3*u + y = -c - 1, 2*c = -4*u + 28. Find v, given that u + 2/3*v**2 - 4*v = 0.
3
Let d(v) = 2*v + 5. Let n be d(0). Suppose 0*s + n*s = 595. Solve -117*w**2 - 4 + s*w**2 + 2 = 0.
-1, 1
Let s = -17 + 20. Suppose -6 = 2*l + 5*u, 2*l + 2*l + s*u - 2 = 0. Suppose 4*m**4 + 2 + 4*m - 7*m**3 - 8*m**l - m**3 + 4*m**5 + 2 = 0. Calculate m.
-1, 1
Let y(b) = -2*b**3 + 8*b**2 + b + 1. Let p be y(4). Let k(i) be the first derivative of -1/12*i**3 + 1/4*i + p + 0*i**2. Factor k(t).
-(t - 1)*(t + 1)/4
Let h(s) be the first derivative of 0*s + 3/8*s**2 - 6 + 1/6*s**3 - 1/16*s**4. Let h(y) = 0. What is y?
-1, 0, 3
Let o be (-1 - 3)*-4*(-12)/(-64). Let k(h) be the first derivative of 0*h + 4*h**2 + 4*h**4 + 20/3*h**o - 6 + 4/5*h**5. Factor k(d).
4*d*(d + 1)**2*(d + 2)
Let h(g) be the first derivative of -g**8/112 - g**7/35 + g**5/10 + g**4/8 + 4*g**2 - 5. Let b(z) be the second derivative of h(z). Factor b(k).
-3*k*(k - 1)*(k + 1)**3
Let p = 24 - 22. Suppose 33 = p*g - 31. Suppose -v + g*v**3 + v - 29*v**3 = 0. Calculate v.
0
Let y(f) = -f**2 + 14*f + 6. Let g be y(14). Factor 0*l + 5*l - g + 6 + 5*l**3 - 10*l**2.
5*l*(l - 1)**2
Suppose 12*p - 2*p = -10. Let k be p/8*168/(-28). Find m such that 0*m**3 + 1/4*m**4 + 1/2*m - k*m**2 + 0 = 0.
-2, 0, 1
Let v(t) be the second derivative of t**7/168 + t**6/40 - t**5/16 - 9*t**4/16 - 4*t**3/3 - 3*t**2/2 + 8*t. Find r, given that v(r) = 0.
-2, -1, 3
Let q(y) be the second derivative of -1/30*y**4 + 0*y**3 + 0*y**2 + 2/75*y**6 + 1/70*y**7 + 0 - 30*y - 1/100*y**5. Determine s, given that q(s) = 0.
-1, 0, 2/3
Let h(j) be the second derivative of -j**6/150 + 7*j**5/50 + 4*j**4/15 - 7*j**3/15 - 3*j**2/2 + 50*j. Find g such that h(g) = 0.
-1, 1, 15
Let p(b) be the third derivative of -b**7/1155 - 7*b**6/660 - 3*b**5/55 - 5*b**4/33 - 8*b**3/33 - 30*b**2 + b. Determine r, given that p(r) = 0.
-2, -1
Factor -2/5*y**3 + 0*y + 0 - 2/5*y**2.
-2*y**2*(y + 1)/5
Let g(t) be the second derivative of -15*t**5/4 - 95*t**4/4 - 32*t**3 - 18*t**2 - 97*t. Factor g(d).
-3*(d + 3)*(5*d + 2)**2
Let l(q) = 10*q**3 - 11*q**2 - 7*q + 8. Let p(n) = -n**3 + n**2 + n - 1. Let s be (26/(-8) - 0) + (-1)/(-4). Let m(z) = s*l(z) - 24*p(z). Factor m(u).
-3*u*(u - 1)*(2*u - 1)
Let w(p) be the third derivative of -1/210*p**7 + 1/24*p**4 - 11*p**2 - 1/6*p**3 + 1/336*p**8 - 1/60*p**6 + 0*p + 1/30*p**5 + 0. Factor w(u).
(u - 1)**3*(u + 1)**2
Let j(o) be the third derivative of -o**5/30 + o**4/6 + 5*o**3 - o**2 - 136*o. Factor j(l).
-2*(l - 5)*(l + 3)
Factor -160/7 + 4/7*b**2 - 12/7*b.
4*(b - 8)*(b + 5)/7
Let h(m) be the third derivative of 0*m + 35*m**2 + 0*m**3 + 1/1428*m**8 - 1/102*m**4 + 0*m**6 + 0 + 1/102*m**5 - 1/357*m**7. Let h(q) = 0. Calculate q.
-1, 0, 1/2, 1, 2
Let a(d) be the first derivative of -5*d**4/12 - 4*d**3/3 - 3*d**2/2 - 2*d/3 - 334. Find j, given that a(j) = 0.
-1, -2/5
Suppose -l - 7*i + 3*i + 14 = 0, 0 = -5*l + 3*i + 1. Let h = -41/8 + 303/56. Find n such that -h*n + 0 + 2/7*n**l = 0.
0, 1
Let b be (2 + 4)*-26 - -2. Let c = b + 158. Suppose 0*p + 0 + 3/10*p**3 + 0*p**c + 1/5*p**2 - 1/10*p**5 = 0. What is p?
-1, 0, 2
Suppose -5*l + 2*l = q + 2, 3*q + 4*l = 9. Suppose 0 = 100*a - 102*a + 8. Find o such that -15 + o + 3 + q*o + a*o**2 = 0.
-3, 1
Let l be (-2)/(-5) + 171/(-15). Let y = l + 14. Factor 3*z**3 + 3*z**4 - 5*z**y + z**2 + 3*z**3 - z - 4*z**4.
-z*(z - 1)**2*(z + 1)
Let x(h) be the second derivative of 1/70*h**6 + h + 0 - 3/140*h**5 - 1/28*h**4 + 0*h**2 + 1/14*h**3. Solve x(b) = 0.
-1, 0, 1
Let d(m) be the second derivative of -m**5/130 + 16*m**4/39 + 67*m**3/39 + 34*m**2/13 + 14*m + 8. Find q, given that d(q) = 0.
-1, 34
Let q be 3*((-210)/54 + 4). Solve -3*b**2 - 5/3*b**3 - 7/3*b - q*b**4 - 2/3 = 0 for b.
-2, -1
Let o = -4638 + 4640. Suppose q + 3*h = 10 - 1, 5*q - 4*h = -12. Factor q + 1/4*l**o + 1/2*l.
l*(l + 2)/4
Suppose 0 = 14*v + 91 - 147. Let c(t) be the second derivative of -v*t - 1/12*t**4 + 0*t**2 + 0 - 1/6*t**3. Factor c(w).
-w*(w + 1)
Let t(b) be the first derivative of 2/9*b**3 - 2/3*b**2 + 2/3*b - 6. Let t(q) = 0. Calculate q.
1
Let b(k) be the second derivative of -9*k + 1/130*k**5 - 1/39*k**4 + 0*k**2 + 1/39*k**3 + 0. Factor b(f).
2*f*(f - 1)**2/13
Let t(u) = -u + 11. Let q be t(7). Determine x, given that -11*x - x - 4 - x**3 + q*x - 5*x**2 = 0.
-2, -1
Let b = 15 + -5. Let u(f) = -f**3 + 11*f**2 - 11*f + 10. Let k be u(b). Factor -3*o**2 + o**2 + o + k*o.
-o*(2*o - 1)
Suppose 3*p = 22 + 5. Suppose p = -3*y + 6*y. Find f, given that 0 + 1/2*f**y + 0*f - 1/2*f**4 + 0*f**2 = 0.
0, 1
Let a(t) be the first derivative of -2*t**6/3 + 144*t**5/5 + 114*t**4 + 464*t**3/3 + 78*t**2 - 413. Factor a(b).
-4*b*(b - 39)*(b + 1)**3
Let u(t) be the first derivative of 3/8*t**4 + 0*t**2 + 4*t**3 + 0*t - 23. Find g such that u(g) = 0.
-8, 0
Let m(l) be the second derivative of -3/16*l**4 - 3/80*l**5 + 0*l**2 - 8*l + 1/2*l**3 + 0. Factor m(h).
-3*h*(h - 1)*(h + 4)/4
Factor -2/11*b**2 - 20 - 114/11*b.
-2*(b + 2)*(b + 55)/11
Let k(d) be the third derivative of -d**9/60480 - d**8/5376 - d**7/2520 + d**6/960 + 7*d**5/30 + 9*d**2. Let f(r) be the third derivative of k(r). Factor f(t).
-(t + 1)*(t + 3)*(4*t - 1)/4
Let b(p) = 15*p + 60. Let d be b(-4). Suppose -18 = -5*z - 2*v - 9, d = -4*z + 4*v + 24. Determine i, given that 1/4 + 3/8*i - 1/8*i**z + 0*i**2 = 0.
-1, 2
Let h(f) = 2*f**2 - f - 3. Let r(v) = 13*v**2 - 36*v - 49. Let k(j) = -30*h(j) + 5*r(j). Let k(o) = 0. What is o?
-1, 31
Let m(n) be the first derivative of -n**6/36 - n**5/30 + n**4/12 + n**3/9 - n**2/12 - n/6 + 23. Solve m(k) = 0.
-1, 1
Factor -4/3*u**3 - 16/3*u + 1/6*u**4 + 8/3 + 4*u**2.
(u - 2)**4/6
Find g, given that 33*g**2 - 53 + 7*g**4 + 24*g + 0*g**4 - 2*g**4 + 17 - 2*g**4 - 24*g**3 = 0.
-1, 1, 2, 6
Suppose -m + 4*c - 53 = 0, 5*m + 59 = 2*c - 170. Let t be (-28)/m + 2/(-9). Factor -4/5*w + t*w**2 + 2/5.
2*(w - 1)**2/5
Suppose 51*j + 66*j = j - 37*j. Determine s so that 0 + j*s**2 + 2/3*s - 2/3*s**3 = 0.
-1, 0, 1
Let i(v) be the first derivative of 4*v**3/3 + 22*v**2 + 40*v + 616. Factor i(a).
4*(a + 1)*(a + 10)
Find p, given that 5*p**2 + 5*p**3 + 33*p - 110*p + 39*p + 28*p = 0.
-2, 0, 1
Let n(j) be the first derivative of j**7/210 - j**6/30 + j**5/15 + 7*j**3/3 - 3. Let g(z) be the third derivative of n(z). Solve g(c) = 0 for c.
0, 1, 2
Let 20 + 12*b**2 + 4*b**3 - 128*b + 42*b + 50*b = 0. What is b?
-5, 1
Let c = 2193