 11*s**3 + 94*s**5 + 97*s**5 - 194*s**5 - 5*s**n - 3*s**2 = 0.
-3, 0, 1/3, 1
Let f(i) be the first derivative of -8/9*i**3 - 3 - 8/3*i**2 + 0*i - 1/12*i**4. Determine m so that f(m) = 0.
-4, 0
Let t be (-4 - 0)*21/(-42). Let a(r) be the first derivative of 3 - 1/3*r**3 + 0*r - 1/6*r**6 + 1/4*r**4 + 1/5*r**5 + 0*r**t. Find d, given that a(d) = 0.
-1, 0, 1
What is j in -16*j**3 + 2*j**2 + 32*j**5 + 0 - 8*j**4 + 10*j - 26*j**5 + 10*j**2 - 4 = 0?
-1, 1/3, 1, 2
Let s(r) = -r**2 - 17*r - 13. Suppose 6*o - 48 = 9*o. Let n be s(o). Factor -m**n + 16*m - 16*m.
-m**3
Let u be (2/4)/((-13)/(-6) - 2). Let 3*f**u + 0*f**3 + 23*f**2 - 47*f**2 + 21*f**2 = 0. What is f?
0, 1
Suppose 3*w = -2*i + 19, -5*i + 4*w + 13 = 23. Determine j, given that 0*j**i + 0*j - 2/9*j**4 + 0 - 2/9*j**3 = 0.
-1, 0
Let l(m) be the second derivative of -m**6/1980 - m**5/165 - m**4/33 + 17*m**3/6 + 14*m. Let t(d) be the second derivative of l(d). Solve t(n) = 0 for n.
-2
Let x(k) be the third derivative of 1/6*k**4 + 7*k**2 - 1/30*k**5 + 0 + 0*k - 1/3*k**3. Solve x(i) = 0.
1
Let o(l) be the third derivative of -l**6/840 - 3*l**5/280 - l**4/28 - l**3/2 + 7*l**2. Let b(d) be the first derivative of o(d). Factor b(k).
-3*(k + 1)*(k + 2)/7
Let z be -12 + -4 - (-5 - 5) - 40/(-6). What is f in 2/9*f**5 + 2/9*f**2 + 0*f + z*f**3 + 2/3*f**4 + 0 = 0?
-1, 0
Let -20*z**2 - 259 + 25*z**2 - 128*z - 7*z - 191 = 0. What is z?
-3, 30
Suppose 42/5*p**3 + 3/5*p**5 + 0*p + 21/5*p**4 + 0 + 24/5*p**2 = 0. What is p?
-4, -2, -1, 0
Let s(k) be the first derivative of -k**7/40 + k**6/80 + 9*k**2/2 - 8. Let y(f) be the second derivative of s(f). Factor y(t).
-3*t**3*(7*t - 2)/4
Let b be 0/((-1)/(16/12)*4). Factor b + 24*c**2 - 22*c**2 + 0 + 2*c.
2*c*(c + 1)
Let s be (-2)/(-10) - 245/(-25). Let j = 15 - s. Factor 3*d**4 + 2*d**5 + 4*d**3 + 2*d**j + 4*d**4 + d**4.
4*d**3*(d + 1)**2
Let v(d) be the second derivative of d**7/168 - d**6/72 + 3*d**3 - 5*d. Let o(w) be the second derivative of v(w). Suppose o(t) = 0. Calculate t.
0, 1
Suppose 4*n + 48 = 2*m, m - 36 = 3*n + 4*m. Let p = -10 - n. Factor -3*z**2 + p*z**4 + z**3 + 3*z**2 + 3*z**3.
2*z**3*(z + 2)
Let k(l) be the first derivative of -l**5/20 + 2*l**4 - 26*l**3 + 112*l**2 - 196*l - 80. Factor k(w).
-(w - 14)**2*(w - 2)**2/4
Factor -2/11*g**4 + 0 + 8/11*g**2 - 16/11*g + 4/11*g**3.
-2*g*(g - 2)**2*(g + 2)/11
Suppose -2*d = 5*d - 119. Factor -717 - 19*h - 105*h**2 - d*h - 3*h**4 + 825 + 36*h**3.
-3*(h - 6)**2*(h - 1)*(h + 1)
Factor 1/4 + 0*k**2 - 1/4*k**4 + 1/2*k**3 - 1/2*k.
-(k - 1)**3*(k + 1)/4
Let d be (-2)/((-4)/(-91))*8. Let u be d/(-12) + (-4)/(-6). Factor 17*m + 3 - 4*m**4 + 7*m + 66*m**2 + u*m**4 + 72*m**3 + 0.
3*(m + 1)**2*(3*m + 1)**2
Let q(y) be the second derivative of 41*y + 0*y**2 - 3/140*y**5 - 3/28*y**4 + 0 + 2/7*y**3. Factor q(n).
-3*n*(n - 1)*(n + 4)/7
Let d = -3515/2 - -1759. Find l such that -d*l**2 + 0*l + 3/2 = 0.
-1, 1
Suppose -33*a = -10*a. Let k(f) be the second derivative of -1/10*f**6 + a*f**3 - 1/12*f**4 + 7*f + 1/42*f**7 + 0 + 0*f**2 + 3/20*f**5. Factor k(i).
i**2*(i - 1)**3
Let c(t) be the third derivative of -7/16*t**4 - 30*t**2 + 49/8*t**3 + 0 + 0*t + 1/80*t**5. Find n such that c(n) = 0.
7
Let g(l) be the first derivative of l**4/4 + 10*l**3/3 + 14*l**2 + 24*l + 87. Solve g(u) = 0 for u.
-6, -2
Find v such that -9*v**4 - 273*v**2 + 141*v**2 + 138*v**2 - 3*v**3 = 0.
-1, 0, 2/3
Let l(i) be the third derivative of -7*i**6/960 - 37*i**5/480 + 11*i**4/24 + 7*i**3/12 - 35*i**2. Factor l(h).
-(h - 2)*(h + 7)*(7*h + 2)/8
Suppose 10*o = 39 + 1. Let j(m) be the second derivative of -8*m + 0 - 1/5*m**3 + 1/20*m**o + 0*m**2. Factor j(y).
3*y*(y - 2)/5
Let z(l) = l**3 - 6*l**2 + 5*l + 4. Let r be z(5). Factor r*d**3 + 4*d**3 + 3*d**4 - 3*d**2 - 2*d**4 - 6*d**3.
d**2*(d - 1)*(d + 3)
Let w(g) = 8*g**3 + 16*g**2 - 27*g - 64. Let l(f) = 12*f**3 + 24*f**2 - 40*f - 96. Let m(n) = -5*l(n) + 8*w(n). What is k in m(k) = 0?
-2, 2
Let v(s) be the second derivative of 5/6*s**6 + 3*s**5 - 40*s**2 - 2*s - 40*s**3 - 11 - 20/3*s**4. Factor v(i).
5*(i - 2)*(i + 2)**2*(5*i + 2)
Let k(g) be the first derivative of 14*g**5/65 - 37*g**4/26 + 76*g**3/39 - 8*g**2/13 + 5. Suppose k(s) = 0. Calculate s.
0, 2/7, 1, 4
Let g(a) be the first derivative of -a**5 + 245*a**4/4 - 235*a**3/3 - 245*a**2/2 + 240*a - 655. Determine m so that g(m) = 0.
-1, 1, 48
Find f such that 34*f**3 + 90*f**2 + 9*f**3 - 59*f**3 - 459*f - 3468 + 13*f**3 = 0.
-4, 17
Let x(o) = 3*o**2 + 11*o - 13. Let b be x(-6). Let j = 29 - b. Factor 0 + j*r**2 - 3*r**4 + 0*r - 3/2*r**3 - 3/2*r**5.
-3*r**3*(r + 1)**2/2
Let o(s) be the first derivative of 0*s - 2/15*s**3 - 3 + 2/5*s**2. Determine z so that o(z) = 0.
0, 2
Suppose q + 5*g = -3*q - 15, 3 = -g. Let j = 533 - 2664/5. Let -4/5*t - 8/5*t**2 - t**3 + q - j*t**4 = 0. What is t?
-2, -1, 0
Suppose 0 = -3*z - d + 5, -5*z - 4*d = -13 - 0. Suppose -2*q + 5*j - 21 = 0, 4*j + 4 = 3*q + 18. Factor p**q + z + 2 - 3.
p**2
Let i = 77314/77 - 11004/11. Solve 2/7*j**3 + 10/7*j**2 + 2 - i*j = 0.
-7, 1
Let x(j) = 3*j**4 + 99*j**3 + 183*j**2 + 99*j + 6. Let d(f) = f**3 + f**2 + 2*f + 1. Let l(q) = 6*d(q) - x(q). Solve l(b) = 0 for b.
-29, -1, 0
Let f(m) be the second derivative of 2/9*m**3 - 34*m + 1/12*m**4 + 0 - 2/3*m**2. Determine b so that f(b) = 0.
-2, 2/3
Factor -64/5*b**3 + 18/5*b**4 - 2/5*b**5 + 112/5*b**2 - 96/5*b + 32/5.
-2*(b - 2)**4*(b - 1)/5
Let l(f) be the third derivative of f**9/30240 - f**8/4480 - f**7/5040 + f**6/480 + f**4/24 - 8*f**2. Let r(i) be the second derivative of l(i). Factor r(h).
h*(h - 3)*(h - 1)*(h + 1)/2
Let l be ((-24)/14)/(6/(-21)). Let n(c) = 4*c - 22. Let m be n(l). Let 0*t + 0 - 20/3*t**3 - 8/3*t**m - 8/3*t**4 = 0. What is t?
-2, -1/2, 0
Let c = -3 + 5. Factor -6*w - 2*w**c + 0*w + 13*w + 5*w.
-2*w*(w - 6)
Let s = 31/495 - -21/55. Factor 0 - 8/9*l + 4/9*l**3 + s*l**2.
4*l*(l - 1)*(l + 2)/9
Suppose 29*q - 72 = 11*q. Let t(v) be the first derivative of -2/7*v**3 + 0*v - 6 + 1/14*v**6 - 3/14*v**2 + 0*v**q + 6/35*v**5. Factor t(y).
3*y*(y - 1)*(y + 1)**3/7
Let h(a) = -a**3 + 15*a**2 + 2*a - 24. Let u be h(15). Let k be (u/3 - 3)/((-5)/6). Determine z, given that 4/5*z + 1/5 + 1/5*z**4 + 4/5*z**3 + k*z**2 = 0.
-1
Let v = -171187/84588 + -1/28196. Let n = -7/6 - v. Factor n*w + 4/7 - 2/7*w**3 + 0*w**2.
-2*(w - 2)*(w + 1)**2/7
Factor 24576/13*j - 384/13*j**2 - 524288/13 + 2/13*j**3.
2*(j - 64)**3/13
Let k(m) be the first derivative of -m**7/21 - m**6/15 + 6*m - 5. Let h(l) be the first derivative of k(l). Solve h(o) = 0.
-1, 0
Let l = 30 - 16. Let i = 20 - l. Factor -15*k**2 + 5 - i*k - 5.
-3*k*(5*k + 2)
Let o(z) be the first derivative of z**5/90 + z**4/18 - z**3/27 - z**2/3 - 6*z + 8. Let k(q) be the first derivative of o(q). Let k(y) = 0. Calculate y.
-3, -1, 1
Suppose f + 22 = 5*r, r = 8*f - 4*f - 7. Let 12*p**2 + 0*p**3 - 558*p**4 + 565*p**4 + p**r + 16*p**3 = 0. What is p?
-3, -2, 0
Let d = 1247 + -8728/7. Let h(g) = -g**3 - 2*g**2 + 2. Let x be h(-2). Factor 1/7*n - 2/7 + d*n**x.
(n - 1)*(n + 2)/7
Let b(x) be the second derivative of -x**7/42 + x**6/10 + x**5/20 - 7*x**4/12 + 2*x**2 - 225*x. Factor b(y).
-(y - 2)**2*(y - 1)*(y + 1)**2
Determine m, given that -10*m - 9/2*m**4 - 15*m**3 - 37/2*m**2 - 2 = 0.
-1, -2/3
Suppose 7*x = 6*x + 203. Let d be 1 + 4 + x/(-42). Suppose d*l**2 + 0*l - 1/6 = 0. Calculate l.
-1, 1
Let t(s) be the first derivative of -2*s**5/45 - 37*s**4/9 - 2738*s**3/27 + 894. Find m, given that t(m) = 0.
-37, 0
Let b(q) be the third derivative of -q**7/70 - 3*q**6/40 + q**4/2 - 50*q**2. Find o, given that b(o) = 0.
-2, 0, 1
Suppose -3*p + 13*p = 9*p. Let o(n) be the first derivative of -1/28*n**4 + 3/14*n**2 - 2/7*n + 8 + p*n**3. Determine a, given that o(a) = 0.
-2, 1
Determine r so that 2/19*r**4 + 6/19 - 8/19*r**2 - 4/19*r + 4/19*r**3 = 0.
-3, -1, 1
Let j(o) be the second derivative of o**5/10 - 11*o**4/6 + 121*o**3/12 + 8*o - 9. Suppose j(h) = 0. Calculate h.
0, 11/2
Suppose 4*h - h = 969. Suppose -h + 67 = -4*g. Determine m so that -15*m + 6*m - 7*m + g - 16*m + 4*m**2 = 0.
4
Let a(f) be the second derivative of -f**10/18144 + f**9/9072 + f**8/4032 - f**7/1512 - f**4/3 + 5*f. Let j(v) be the third derivative of a(v). Factor j(w).
-5*w**2*(w - 1)**2*(w + 1)/3
Let h be (112/126)/((-1)/(-21)). Suppose 