 9*x**4 - 64*x**3/3 + 413. What is j in a(j) = 0?
0, 2, 16
Let o = -915 - -919. Let t(s) be the second derivative of 1/120*s**6 + 0 + 1/20*s**5 + 0*s**3 + 1/12*s**o + 6*s + 0*s**2. Factor t(g).
g**2*(g + 2)**2/4
Let j(h) be the second derivative of h**5/220 - h**4/22 + 2*h**3/11 - 4*h**2/11 - 81*h. Find n such that j(n) = 0.
2
Let v(n) be the first derivative of -3*n**5/50 - n**4/10 + 37*n**3/30 + 7*n**2/10 - 12*n/5 - 138. Solve v(f) = 0 for f.
-4, -1, 2/3, 3
Let l(v) be the third derivative of -1/1008*v**8 + 6*v**2 - 4/9*v**3 + 0*v + 1/18*v**5 + 0 - 2/315*v**7 - 1/360*v**6 + 1/18*v**4. Factor l(x).
-(x - 1)**2*(x + 2)**3/3
Factor -10/3*r - 2/9*r**3 + 16/9*r**2 + 0.
-2*r*(r - 5)*(r - 3)/9
Factor 33*g - 204*g**2 + 21*g**3 + 54 + 11*g + 46*g + 39*g.
3*(g - 9)*(g - 1)*(7*g + 2)
Let p = 153059/15 + -10164. Let q = 121/3 - p. Suppose -2/5*r - 4/5 + q*r**2 = 0. What is r?
-1, 2
Let g(m) be the second derivative of 5*m - 130*m**2 + 6*m**3 + 61*m**2 + 4*m**4 + 0*m**5 + 73*m**2 + m**5. Factor g(o).
4*(o + 1)**2*(5*o + 2)
Suppose 0 = -8*n + 262 - 246. What is y in 2/7*y**4 + 0*y**3 + 2/7 - 4/7*y**n + 0*y = 0?
-1, 1
Let y = -11 + 9. Let n be 4 + (-1 - (3 + y)). Determine x so that 0*x + 0*x**2 - 2/5*x**3 + 0 + n*x**4 - 8/5*x**5 = 0.
0, 1/4, 1
Let g(u) = u**2. Let m(z) = 16*z**2 + 16*z + 12. Let v be (-91)/78 + (-33)/18 + 2. Let b(d) = v*m(d) + 12*g(d). Solve b(o) = 0 for o.
-3, -1
Let x be ((-32)/24)/(2/12)*(-25)/60. Let 2/3*y**3 + 22/3*y + 14/3*y**2 + x = 0. Calculate y.
-5, -1
Suppose -6 = -3*n + 6. Let y(t) = t**3 + 4*t**2. Let d be y(-3). Find h such that 2*h**n + d*h**2 + 4*h**3 - 3*h + 0*h**4 - 6 - 5*h**4 - h**3 = 0.
-1, 1, 2
Let b be (6/5)/(6/15). What is j in 96*j**4 - 1 - 25*j + 235*j**b + 1 + 60*j**2 - 10 + 124*j**4 + 60*j**5 = 0?
-2, -1, -1/2, 1/3
Let b(v) be the third derivative of -1/54*v**4 - 23*v**2 + 0*v + 1/54*v**3 + 1/180*v**5 + 0. Find i, given that b(i) = 0.
1/3, 1
Let x**3 + 12 + 4*x**3 + 14*x**2 + 6*x - 3*x**3 - 18*x**2 - 16*x = 0. What is x?
-2, 1, 3
Let z(o) be the first derivative of o**7/70 + o**6/25 - 9*o**5/100 - 18*o + 15. Let m(u) be the first derivative of z(u). Let m(p) = 0. Calculate p.
-3, 0, 1
Suppose 3*g - 92 + 86 = 0. Let t(j) be the third derivative of 0*j - 4*j**g + 1/150*j**5 - 1/150*j**6 + 0 + 0*j**3 + 1/60*j**4. Factor t(q).
-2*q*(q - 1)*(2*q + 1)/5
Let f(i) = 3*i**5 - 31*i**4 - 54*i**3 + 54*i**2 + 16*i. Let w(k) = k**5 + k**4 - k**3 + k**2. Let p(t) = -5*f(t) - 30*w(t). Suppose p(h) = 0. What is h?
-2, -2/9, 0, 1, 4
Suppose -7*g = 31*g. Let r(p) be the third derivative of 0*p**3 + g + 0*p - 1/12*p**4 - 1/60*p**5 - 8*p**2. Factor r(h).
-h*(h + 2)
Let s(a) = -4*a - 26. Let i be s(-7). Let z(n) = 11*n - 22. Let v be z(i). Factor 2/9*f**3 + 2/9*f**2 + 0*f + v.
2*f**2*(f + 1)/9
Let d(f) be the third derivative of f**7/70 - f**6/20 + f**5/20 - 7*f**2 - 12. Factor d(u).
3*u**2*(u - 1)**2
Let h be (-1512)/(-864) + -1 + 5/4. Let k(f) be the first derivative of -3/10*f**h + 3/25*f**5 + 6/5*f - 6 + 3/20*f**4 - 3/5*f**3. Solve k(t) = 0 for t.
-2, -1, 1
Let n be -9*6/(-702) - (-190)/65. Solve -9/2*d - 3/4*d**4 - 3*d**n + 33/4*d**2 + 0 = 0.
-6, 0, 1
Let h = 3919 + -3915. What is y in 1/6*y**h + 0*y + 0*y**2 - 1/3*y**3 + 0 = 0?
0, 2
Let j(z) be the first derivative of 5*z**6/12 + 3*z**5 + 45*z**4/8 + 204. Find i, given that j(i) = 0.
-3, 0
Let x = 1199/5 + -239. Let u(a) be the second derivative of 10/21*a**7 + 8/5*a**6 - 4*a**2 - 6*a**3 + 4*a + x*a**5 - 10/3*a**4 + 0. Find n such that u(n) = 0.
-1, -2/5, 1
Let a = -77 - -71. Let y be (8/(-9))/(5/a). Factor -8/5*v - 2/15*v**3 + 4/5*v**2 + y.
-2*(v - 2)**3/15
Factor -18 + 3/2*c**5 - 141/2*c**2 - 3/2*c**4 - 60*c - 63/2*c**3.
3*(c - 6)*(c + 1)**3*(c + 2)/2
What is i in 33*i + 1/2*i**2 + 0 = 0?
-66, 0
Let m be ((0 - 12/(-8)) + -1)*0. Let q(a) be the second derivative of 0 + 0*a**2 + 1/66*a**4 - 4*a + m*a**3. Factor q(p).
2*p**2/11
Let 10*s**3 - 33*s - 29*s + 70*s + 0*s**4 + 2*s**4 + 16*s**2 = 0. Calculate s.
-2, -1, 0
Let i be ((-29)/87)/(5/10*-2). Factor -2/3*a + 0 - i*a**2.
-a*(a + 2)/3
Factor -6*l + 128*l**2 - 96*l**4 + 20*l**5 - 70*l**5 - 48*l**3 - 64*l**4 - 26*l.
-2*l*(l + 2)**2*(5*l - 2)**2
Let c(j) be the first derivative of 35*j**6/12 - 209*j**5/20 + 201*j**4/16 - 49*j**3/12 - 19*j**2/8 + 3*j/2 - 165. Solve c(h) = 0.
-3/10, 2/7, 1
Let i(s) be the second derivative of s**7/42 + 11*s**6/90 + s**5/12 - s**4/12 + 16*s. Let i(v) = 0. Calculate v.
-3, -1, 0, 1/3
Let x(f) = f**2 - f - 1. Let d(h) = 6*h**2 - 12*h + 4. Let v = 7 - 8. Let j be 5 + (-8 - -4) + 3. Let z(c) = j*x(c) + v*d(c). Factor z(u).
-2*(u - 2)**2
Let u(l) be the first derivative of l**3 - 54*l**2 + 972*l + 42. Factor u(d).
3*(d - 18)**2
Let y = -12690 - -12693. Let 16/11*h + 12/11*h**y + 0 + 2/11*h**4 + 24/11*h**2 = 0. What is h?
-2, 0
Let d(h) = h**3 + 4*h**2 + 4*h + 6. Let b be d(-3). Suppose -4*f - 4 = a - b*a, -15 = -3*a - 3*f. Factor -1/2*p**2 + 0 + 1/2*p**a - p + p**3.
p*(p - 1)*(p + 1)*(p + 2)/2
Let i(h) be the first derivative of h**7/4620 + h**6/990 + h**5/660 + 2*h**3 - 3*h**2 + 60. Let f(d) be the third derivative of i(d). Factor f(b).
2*b*(b + 1)**2/11
Let v(h) be the third derivative of -1/600*h**6 + 0*h**5 + 0*h**7 + 0*h**4 + 0*h + 13*h**2 + 1/1680*h**8 + 0 + 0*h**3. Let v(j) = 0. What is j?
-1, 0, 1
Suppose 51 - 249 = -4289*i + 4190*i. Suppose -1/4*f**i - 3/8 + 7/8*f = 0. What is f?
1/2, 3
Solve -30*g - 7 + 670*g**4 - 72*g**2 - 673*g**4 + 82 + 30*g**3 = 0 for g.
-1, 1, 5
Suppose -2*d = 2*i + 2*d, -39 = 5*i - 3*d. Let z(c) = -c. Let w(g) = 3*g**2 - g - 2. Let h(v) = i*z(v) + w(v). Suppose h(t) = 0. What is t?
-2, 1/3
Let o(b) = -b**2 + b - 1. Suppose -5*f - 2*s + 0 = -3, -5*f = 3*s - 2. Let j(v) = -3*v**2. Let d(z) = f*j(z) - 4*o(z). Factor d(x).
(x - 2)**2
Let h be 2/8 + 67/(-2412). Find s such that 2/9*s**2 - 2/9*s**3 - 2/9*s**4 + h*s + 0 = 0.
-1, 0, 1
Suppose 2*g = 7*g - 25. Suppose -23 + a**2 + 8*a**2 + g + 15*a - 6*a**2 = 0. What is a?
-6, 1
Let p(v) be the first derivative of 4*v**5/5 - 7*v**4 - 12*v**3 + 14*v**2 + 32*v + 2. Let p(f) = 0. Calculate f.
-1, 1, 8
Let s = -124/559 + -7/43. Let a = s - -67/39. Factor 0*l - 1/3*l**2 + a.
-(l - 2)*(l + 2)/3
Suppose -3*y + 3*d + 24 = 0, -3*y + 3*d = d - 20. Let t(i) be the second derivative of -2*i + 2/3*i**2 + 10/3*i**3 + 0 + 25/4*i**y. Factor t(v).
(15*v + 2)**2/3
Let q(r) be the third derivative of 0 + 0*r - 1/60*r**5 - 4*r**2 - 1/720*r**6 - 1/16*r**4 - 1/9*r**3. Factor q(v).
-(v + 1)**2*(v + 4)/6
Suppose 3*f + 112 = 2*s, 5*s - 7*f - 270 = -2*f. Determine r so that -10*r**3 - 46*r**2 + 2*r**4 - 2*r**5 + s*r**2 + 6*r**4 = 0.
0, 1, 2
Let v(z) be the second derivative of 1/1620*z**6 + 3*z + 0*z**5 + 0 - 2/3*z**3 + 0*z**2 - 1/27*z**4. Let n(l) be the second derivative of v(l). Factor n(f).
2*(f - 2)*(f + 2)/9
Suppose -8*b + 3*i = -7*b - 10, 0 = -3*i - 6. Let p be 0*((-1)/2 - -1). Factor 27*m**2 - 18*m**2 - 5*m**3 - 7*m + p*m**b + 2 + m**4.
(m - 2)*(m - 1)**3
Let 2 + 4*b - 4*b**3 + 10 + 0*b + b**4 + 683*b**2 - 696*b**2 = 0. Calculate b.
-2, -1, 1, 6
Let c(k) = -21*k**4 - 98*k**3 - 157*k**2 - 72*k + 4. Let v(y) = y**4 - y**3 + 2*y**2. Let m(z) = c(z) + v(z). Factor m(h).
-(h + 1)*(h + 2)**2*(20*h - 1)
Let z(v) = -101*v + 2727. Let b be z(27). Suppose b + 0*y - 1/3*y**2 - 1/3*y**3 = 0. Calculate y.
-1, 0
Let d be 0 + -1*(-4 + 2). Suppose 0 = -4*o + 3*o + d. Determine s so that 32/9*s**o + 2/9 - 16/9*s = 0.
1/4
Let d(v) = 2*v**3 + 8*v**2 - 16*v + 9. Let j(m) = -m**3 + m - 1. Let n be (-2 - 1) + 32/8. Let z(x) = n*d(x) + 3*j(x). Suppose z(l) = 0. Calculate l.
1, 6
Let n = -182/279 + 3/31. Let o = -37/99 - n. Determine x, given that 2/11*x**2 + 0 + o*x = 0.
-1, 0
Let q(w) be the second derivative of -w**4/54 + 11*w**3/27 + 14*w**2/3 + 29*w - 4. Determine t so that q(t) = 0.
-3, 14
Suppose -3*g + 28 = 124. Let n be ((-3)/4)/(-2 + (-28)/g). Let -2/3*u**2 + 2/9*u**3 - 2/9 + n*u = 0. What is u?
1
Let v = -1053 + 1058. Let x(r) be the third derivative of 1/15*r**3 - 11*r**2 + 0*r**4 + 0*r - 1/150*r**v + 0. Factor x(i).
-2*(i - 1)*(i + 1)/5
What is o in -10/9*o**4 - 2/9*o**5 + 64/9*o**2 - 64/9*o + 8/3*o**3 - 32/3 = 0?
-6, -2, -1, 2
Suppose 33*k + 85 = 50*k. Let b(c) be the third derivative of 0 + 0*c - 1/224*c**8 + 0*c**3 - 1/16*c**4 + 1/40*c**6 + 0*c**7 + 2*