0. What is j?
1, 3
Suppose 5*d = 3*z - 13, -d - d = z - 8. Let i(r) = r**2 - 3*r - 16. Let j be i(z). Factor 2/3*f**j - 1/3*f + 0 - 2/3*f**4 + 1/3*f**5 + 0*f**3.
f*(f - 1)**3*(f + 1)/3
Let -179 - 244*p**2 - 501*p + 749*p + 175 = 0. Calculate p.
1/61, 1
Let u(m) be the first derivative of m**3/3 - 12*m**2 + 80*m + 87. Let u(y) = 0. What is y?
4, 20
Let n(o) = -4*o + 47. Let b be n(11). Factor 15*r - r**4 + 5*r**5 - 10*r + 15*r - 65*r**2 + 75*r**b - 34*r**4.
5*r*(r - 4)*(r - 1)**3
Let x be (-10)/45 + (-20)/(-9). Let c(r) be the third derivative of -1/5*r**5 + 1/2*r**3 + 1/20*r**6 + 0*r - 1/4*r**4 - r**x + 0 + 3/70*r**7. Factor c(j).
3*(j - 1)*(j + 1)**2*(3*j - 1)
Let c(i) be the second derivative of i**5/130 - 2*i**4/39 - 4*i**3/13 - 251*i. Factor c(w).
2*w*(w - 6)*(w + 2)/13
Suppose -24/19 + 2/19*a**2 + 22/19*a = 0. What is a?
-12, 1
Let n = 23 + -26. Let z be (-91)/(-42) - 2/(-3)*n. Suppose 0 + 2/3*o**2 + 2/3*o + z*o**3 = 0. Calculate o.
-2, 0
Let z be -2 + -4*1/(-10). Let t = -11/10 - z. Factor 1/2*d**2 + 0 - t*d.
d*(d - 1)/2
Let z(k) be the first derivative of -48*k**5 - 79*k**4 - 128*k**3/3 - 8*k**2 + 4. Let z(b) = 0. Calculate b.
-2/3, -2/5, -1/4, 0
Determine k so that 22/5*k**4 - 26/5*k**3 + 0*k + 0 + 2*k**5 - 6/5*k**2 = 0.
-3, -1/5, 0, 1
Let j(r) = -5*r**3 + 40*r**2 - 15*r - 75. Let u(a) = 8*a**3 - 61*a**2 + 23*a + 113. Let q(x) = -7*j(x) - 5*u(x). Factor q(t).
-5*(t - 4)*(t - 2)*(t + 1)
Let h(m) be the second derivative of -m**5/20 - 53*m**4/12 + 55*m**3/3 + 4*m + 8. Let h(j) = 0. What is j?
-55, 0, 2
Let h(m) be the second derivative of m**6/195 - 7*m**5/65 - 8*m**4/13 - 50*m**3/39 - 17*m**2/13 - 6*m + 1. Factor h(z).
2*(z - 17)*(z + 1)**3/13
Let b(c) be the first derivative of c**4/12 + c**3/3 - 4*c/3 - 134. Factor b(l).
(l - 1)*(l + 2)**2/3
Let m be 1377/4335 + 4*3/(-102). Factor -m*v**2 - 1/5 - 2/5*v.
-(v + 1)**2/5
Let h = 5/14907 - -74525/29814. What is i in -h*i + 1/2*i**2 + 2 = 0?
1, 4
Let m(i) be the second derivative of -i**5/90 - 7*i**4/3 - 147*i**3 + 237*i. Let m(w) = 0. Calculate w.
-63, 0
Let h = 2/1363 + 4081/5452. Let y = 1/2 + -1/4. Factor -1/4*q**4 - h*q**2 + 3/4*q**3 + 0 + y*q.
-q*(q - 1)**3/4
Let u = 11 - 5. Let t be (-4)/u + (-52)/(-6). Determine f so that 4 + 3*f**2 + t*f - 3*f**2 + 2*f**2 + 4 = 0.
-2
Solve 8/5 - 1/5*j**2 + 2/5*j = 0 for j.
-2, 4
Let d(x) be the second derivative of 6*x**7/7 - 38*x**6/15 - 7*x**5/5 + 19*x**4/3 - 4*x**3/3 - 15*x + 3. What is o in d(o) = 0?
-1, 0, 1/9, 1, 2
Let x(n) be the first derivative of -n**4/10 - 2*n**3/5 - 38. Factor x(b).
-2*b**2*(b + 3)/5
Factor 828*a**3 + a**2 + 4*a**2 - 416*a**3 - 30*a - 407*a**3.
5*a*(a - 2)*(a + 3)
Solve 5/6*r - 5/6*r**3 + 5/2*r**2 + 0 - 5/2*r**4 = 0.
-1, -1/3, 0, 1
Let u = -2393/4 + 601. Let o(m) be the first derivative of 6 + m + 3/2*m**3 - u*m**2. Factor o(h).
(h - 1)*(9*h - 2)/2
Let r(m) be the third derivative of 1/56*m**4 - 3/280*m**6 + 1/35*m**5 + 0*m - 1/7*m**3 - 9*m**2 + 0. Let r(q) = 0. What is q?
-2/3, 1
Suppose 69 = 11*s + 25. Factor -6*o**2 + 3*o**2 - 50*o + 125 + s*o**2 + 4*o**2.
5*(o - 5)**2
Let y be 8/6*(-468)/(-416). Let w(s) be the first derivative of 5 + y*s**2 + s**3 + 0*s. Solve w(m) = 0.
-1, 0
Let r be 1 + (3/6)/((-3)/(-6)). Suppose -52*d**r - 256 + 4*d**3 + 192*d + 0*d**3 + 4*d**2 = 0. Calculate d.
4
Let c(t) be the first derivative of t**3/8 - 9*t**2/4 - 39*t/8 + 100. Factor c(i).
3*(i - 13)*(i + 1)/8
Let t(b) = b**2 - 2*b - 323. Let f be t(19). Factor 4/5*z**5 + 4/5*z + 0*z**2 + f*z**4 + 0 - 8/5*z**3.
4*z*(z - 1)**2*(z + 1)**2/5
Let l(z) be the third derivative of z**6/420 + 29*z**5/105 + 841*z**4/84 + 2*z**2 - 112*z. Factor l(f).
2*f*(f + 29)**2/7
Let f(i) = 2*i**3 + 10*i**2 + 2*i + 3. Let s(y) = 2*y**3 + 8*y**2 + 2*y + 2. Let d(x) = 2*f(x) - 3*s(x). Factor d(t).
-2*t*(t + 1)**2
Let u be 18/40*(-34)/(-51). Let a(k) be the second derivative of k + 0 + 1/60*k**4 - 2/15*k**3 + u*k**2. Factor a(t).
(t - 3)*(t - 1)/5
Let d be ((-2262)/12)/29 - -7. Solve -1/2*w**4 + 1/2*w**2 + 0 + 0*w + d*w**3 - 1/2*w**5 = 0.
-1, 0, 1
Suppose 5*g = 4*m + g - 32, 0 = 2*m + 2*g. Factor 20*k**5 - 33 - m*k**2 + 52*k**4 + 33 + 36*k**3 - 8*k.
4*k*(k + 1)**3*(5*k - 2)
Suppose -d - 1 + 5 = -2*h, d - 3*h = 5. Let 34*j - 31*j + j**2 + 0*j**d = 0. Calculate j.
-3, 0
Let z be 9/(-24)*8/(-6). Let q(i) be the first derivative of -z*i**2 - 1 - 2*i + 1/4*i**4 + 2/3*i**3. Solve q(t) = 0 for t.
-2, -1, 1
Solve 1/10*y**4 - 21/5*y**2 - 6/5*y**3 - 22/5*y - 3/2 = 0 for y.
-1, 15
Let t(r) be the first derivative of -1/6*r**2 + 1/18*r**4 - 1 + 1/18*r**3 - 2*r. Let d(c) be the first derivative of t(c). Find f, given that d(f) = 0.
-1, 1/2
Let t(x) be the third derivative of -5*x**8/336 - 16*x**7/21 - 39*x**6/8 - 71*x**5/6 - 35*x**4/3 - 404*x**2. Solve t(u) = 0 for u.
-28, -2, -1, 0
Let s(v) = -v**2 + 34*v - 33. Let f be s(1). Let 0*k - k**2 - 1/2*k**3 + f + k**4 + 1/2*k**5 = 0. Calculate k.
-2, -1, 0, 1
Find x such that 6 + 55*x - 103*x + 3*x**2 + 39*x = 0.
1, 2
Let -2/7*c**3 + 88/7*c**2 + 0 - 968/7*c = 0. Calculate c.
0, 22
Find k, given that 2/3*k + 5/9 + 1/9*k**2 = 0.
-5, -1
Let t(v) be the second derivative of v**7/1120 - v**6/160 + v**5/80 + 5*v**3/6 - 10*v. Let j(k) be the second derivative of t(k). Find b such that j(b) = 0.
0, 1, 2
Suppose 6 - 4 = 5*k + 4*g, 4 = 5*k + 3*g. Let a(v) be the first derivative of 2/5*v + 11/10*v**k + 1/3*v**3 - 3. Find l such that a(l) = 0.
-2, -1/5
Let u = -359/18 - -20. Let f(m) be the second derivative of 3*m + u*m**4 + 0 + 0*m**3 + 0*m**5 - 1/90*m**6 - 1/6*m**2. Solve f(c) = 0 for c.
-1, 1
Let w = 189737/7 - 27087. Let -2/7 - 32*r**3 - 26/7*r - 120/7*r**2 - w*r**4 = 0. Calculate r.
-1, -1/4
Let a(b) be the third derivative of b**5/420 - b**4/28 + 3*b**3/14 + 34*b**2. Factor a(x).
(x - 3)**2/7
Find d such that 21*d**2 + 43*d**3 + 63 - 12*d**3 + 201*d**2 - 320*d - 121*d**3 + 119*d + 3*d**4 + 3*d**5 = 0.
-7, 1, 3
Let f(v) be the first derivative of v**4/14 - 10*v**3/21 + 3*v**2/7 + 18*v/7 - 151. Factor f(z).
2*(z - 3)**2*(z + 1)/7
Let n(d) be the third derivative of -d**5/540 - d**4/216 + 2*d**2 + 10*d. Let n(h) = 0. What is h?
-1, 0
Suppose 9*a - 3*a = 120. Suppose 0 = 2*j + 4*u + 16, -2*j + 0*j - a = 5*u. Factor 3/5*y**3 + j + 2/5*y - 1/5*y**4 + y**2 - 1/5*y**5.
-y*(y - 2)*(y + 1)**3/5
Let x(m) = 11*m**4 + 306*m**3 + 4506*m**2 - 6*m + 6. Let f(i) = -i**4 - i**3 - i**2 + i - 1. Let c(r) = 6*f(r) + x(r). What is j in c(j) = 0?
-30, 0
Let g = 36054 - 36054. Factor g*v + 0 + 2/3*v**2 - 2/3*v**3.
-2*v**2*(v - 1)/3
Let z(o) be the second derivative of o**7/168 + 7*o**6/120 + 7*o**5/40 + o**4/6 - 6*o. Factor z(l).
l**2*(l + 1)*(l + 2)*(l + 4)/4
Let f = 8 - 18. Let g = 13 + f. Find l, given that 4*l**2 - 6 + 5*l**2 - 17*l**4 - 27*l**4 + 3*l + 41*l**4 - 3*l**g = 0.
-2, -1, 1
Let g(r) be the first derivative of -1/16*r**4 - 1/10*r**5 + 1/6*r**3 + 0*r - 18 + 0*r**2 + 1/24*r**6. Determine a, given that g(a) = 0.
-1, 0, 1, 2
Let y(i) = 15*i**3 - 805*i**2 + 4965*i - 4215. Let m(b) = -2*b**3 + 115*b**2 - 709*b + 602. Let s(k) = 20*m(k) + 3*y(k). Solve s(o) = 0.
1, 11
Let n(u) be the first derivative of -2*u**5/15 - 4*u**4 - 286*u**3/9 + 8*u**2 + 96*u + 736. Determine m so that n(m) = 0.
-12, -1, 1
Let s(z) be the first derivative of z**6/24 - 3*z**5/20 + z**4/16 + z**3/4 - z**2/4 - 207. Determine y so that s(y) = 0.
-1, 0, 1, 2
Let y = 22/27 + -4/27. Factor -4 + y*u**2 + 10/3*u.
2*(u - 1)*(u + 6)/3
Let j(r) be the second derivative of -r**7/10 - 23*r**6/50 - 3*r**5/5 - r**4/5 - 204*r - 1. Find b, given that j(b) = 0.
-2, -1, -2/7, 0
Let y(f) = -3*f**3 + 20*f**2 + 44*f + 26. Suppose -9*l + 15*l = -126. Let s(d) = 12*d**3 - 81*d**2 - 177*d - 105. Let v(k) = l*y(k) - 5*s(k). Factor v(h).
3*(h - 7)*(h + 1)**2
Let a(o) be the third derivative of -o**7/15120 + o**6/1080 + 3*o**4/8 + 6*o**2. Let y(b) be the second derivative of a(b). Suppose y(d) = 0. Calculate d.
0, 4
Suppose 6*j + 24 = 18*j. Let d(p) be the third derivative of 1/96*p**6 + 0*p + 5*p**j + 1/24*p**4 + 0*p**3 - 1/30*p**5 - 1/840*p**7 + 0. Factor d(u).
-u*(u - 2)**2*(u - 1)/4
Find b, given that b**5 - 5/2*b - 2*b**2 + 3/2*b**3 + 11/4*b**4 - 3/4 = 0.
-1, -3/4, 1
Let -2*c - 1 - 91/4*c**3 + 103/4*c**2 = 0. Calculate c.
-2/13, 2/7, 1
Let t be 231/88 + 6/16. Suppose 4*p - 3*p - p**3 - p**t + p 