/4*r + 3/4*r**t - 1/2 - 5/4*r**k - 1/4*r**2.
(r - 1)**2*(r + 1)*(3*r - 2)/4
Let k(s) = -9*s + 16 - 5*s + 2*s**2 - s**2. Let t be k(13). Let -5*i - 6*i**2 + 9*i**3 - i + 6 - t*i = 0. Calculate i.
-1, 2/3, 1
Suppose 8*k + 49 = j + 9, 0 = -3*j - 4*k - 20. Factor 0 + 1/3*z**2 + j*z.
z**2/3
Solve 18/5*f**2 - 42/5 + 27/5*f - 3/5*f**3 = 0 for f.
-2, 1, 7
Suppose 0 = -6*h + h + 20, -o + h = 2. Let d be 12 - 7 - (o*2 + -1). Let 3/8*a**d - 3/2*a + 3/2 = 0. What is a?
2
Let j be (8/10)/(1/2). Let g = -1 + j. Let 3/5*f**2 - g*f - 2/5 + 2/5*f**3 = 0. Calculate f.
-2, -1/2, 1
Let z(n) be the first derivative of n**3 + 3*n**2/2 - 18*n + 93. Let z(x) = 0. What is x?
-3, 2
Let f be (28/(-112))/(1*1/(-20)). Let l(a) be the third derivative of -1/210*a**6 + 0*a**3 + 0 + 0*a**4 + 0*a**f + 1/105*a**7 + 5*a**2 + 0*a. Factor l(j).
2*j**3*(7*j - 2)/7
Let a be (136/51)/((-4)/(-3)). Solve -25/4*w**3 - 35/2*w**a - 11*w - 2 = 0 for w.
-2, -2/5
Factor 22/7*k - 18/7*k**2 + 2/7*k**3 + 6.
2*(k - 7)*(k - 3)*(k + 1)/7
Suppose -3*v - 3*g = -5*g, 2*g - 14 = -4*v. Let b = v - 0. Factor -7*y - 3*y - 3*y**b + 2*y + 2*y + 3*y**3.
3*y*(y - 2)*(y + 1)
Let p be -4 - -3 - 5*15/(-35). Factor -4/7*j**2 + 12/7 - p*j.
-4*(j - 1)*(j + 3)/7
Let b(i) be the third derivative of -i**5/390 - 3*i**4/13 + 37*i**3/39 - 9*i**2 + 4*i. Solve b(f) = 0.
-37, 1
Let w(o) be the second derivative of 2/9*o**2 - 12*o + 0 - 1/27*o**4 - 1/27*o**3 + 1/90*o**5. Determine i so that w(i) = 0.
-1, 1, 2
Let g = -18939 - -18940. Suppose -g + 1/2*i - 1/2*i**3 + i**2 = 0. Calculate i.
-1, 1, 2
Let s(m) be the second derivative of -m**7/210 + 4*m**6/75 + 3*m**5/10 + 8*m**4/15 + 11*m**3/30 - 6*m - 4. Suppose s(u) = 0. Calculate u.
-1, 0, 11
Let m be (-35)/10 + 4 - (-6)/4. Let a be 13/(-7) + m + 0. Factor 1/7*b**5 - 1/7*b**2 - 1/7*b**3 + a*b**4 + 0*b + 0.
b**2*(b - 1)*(b + 1)**2/7
Suppose 4*f - 204 = -4. Let w = f - 48. Factor 8/3*u**w + 2/3*u + 2/3*u**5 + 4*u**3 + 0 + 8/3*u**4.
2*u*(u + 1)**4/3
Suppose 5*w - t = -0*w + 43, -2*w + 22 = 2*t. Solve -6 - w*d - 3/4*d**3 - 9/2*d**2 = 0.
-2
Let o(q) = 2*q**3 - q**2. Let y(s) = -8*s**3 + 43*s**2. Let d(h) = -5*o(h) - y(h). Factor d(c).
-2*c**2*(c + 19)
Let a(d) be the second derivative of -5*d**7/84 - 19*d**6/12 - 79*d**5/8 - 665*d**4/24 - 125*d**3/3 - 35*d**2 - 28*d - 1. Suppose a(l) = 0. What is l?
-14, -2, -1
Let v = 8230 - 90524/11. Factor 12/11*g - v*g**2 + 18/11.
-6*(g - 3)*(g + 1)/11
Let c(g) be the third derivative of 0*g**4 + 0*g**5 - 1/3*g**3 - 1/180*g**6 + 0 + 0*g + 4*g**2. Let j(p) be the first derivative of c(p). Factor j(l).
-2*l**2
Factor 24*z**3 - 59*z**2 + 79*z**2 - 2*z**4 + 36*z**2.
-2*z**2*(z - 14)*(z + 2)
Suppose 3*v = 9*v - 7*v. Let t(p) be the third derivative of 0 + v*p + 1/72*p**4 + 0*p**3 - 1/360*p**5 - 3*p**2. Factor t(b).
-b*(b - 2)/6
Let w(p) be the first derivative of -p**5/15 + p**4/4 + 5*p**3/9 - p**2/2 - 4*p/3 - 80. Factor w(l).
-(l - 4)*(l - 1)*(l + 1)**2/3
Let v(p) be the first derivative of 5*p**6/12 + 7*p**5/10 - 33*p**4/8 - 19*p**3/6 + 7*p**2 + 6*p + 102. Find n, given that v(n) = 0.
-3, -1, -2/5, 1, 2
Let g(t) be the second derivative of 1/4*t**5 + 5/12*t**4 - 5/3*t**3 + 0*t**2 - 36*t + 0. Factor g(s).
5*s*(s - 1)*(s + 2)
Let t(r) be the second derivative of -1/42*r**7 + 0*r**4 + 0 + 0*r**2 + 0*r**3 - 4/75*r**6 - 13*r + 1/25*r**5. Solve t(j) = 0 for j.
-2, 0, 2/5
Let r = -139 - -145. Let l be (-14 + 16)/(r/(-1 - -2)). Factor 1/3 - 2/3*h + l*h**2.
(h - 1)**2/3
Suppose -j + 2*a = 5, -3*a + 5 = -21*j + 19*j. Solve 0 - 4/3*c**4 - 2/3*c**j + 2/3*c**3 + 4/3*c**2 + 0*c = 0 for c.
-2, -1, 0, 1
Let p(k) = 2*k - 40. Let r be p(18). Let w be (-4)/(-16) + (-31)/r. Let w*n + 33 + 4*n**2 - 33 = 0. What is n?
-2, 0
Let m(o) = 2*o**2 - 7*o - 15. Let t be m(8). Suppose 4*k + t = 209. Factor k*x - 3 + 3*x**2 - 38*x.
3*(x - 1)*(x + 1)
Solve -9*q**3 + 4847*q**4 - 4850*q**4 + 9*q + 3*q = 0 for q.
-2, 0, 1
Let s(n) be the second derivative of -2*n**6/15 + n**4 - 4*n**3/3 - 91*n. Factor s(l).
-4*l*(l - 1)**2*(l + 2)
Let l = 4413312/55 + -80238. Let w = l + -18/11. Find v such that -12/5 + w*v - 3/5*v**2 = 0.
2
Let q(r) be the second derivative of -r**4/36 - r**3/3 - 4*r**2/3 + 20*r + 12. Factor q(p).
-(p + 2)*(p + 4)/3
Let m(a) be the second derivative of 4/15*a**6 - 2/3*a**4 + 0*a**2 + 2/3*a**3 + 0*a**5 + 4*a + 0 - 2/21*a**7. Factor m(t).
-4*t*(t - 1)**3*(t + 1)
Suppose 5*v**2 - 24 + 6*v - 16*v**2 + 7*v**2 - v**3 + 23*v = 0. Calculate v.
-8, 1, 3
Let l(m) = 5*m**4 + 160*m**3 - 1460*m**2 - 170*m + 1445. Let r(x) = -x**4 + x**3 + 2*x**2. Let f(j) = -l(j) - 10*r(j). Factor f(c).
5*(c - 17)**2*(c - 1)*(c + 1)
Let w(j) be the second derivative of -j**8/1848 - j**7/1155 + j**6/330 - 8*j**2 + 9*j. Let h(z) be the first derivative of w(z). Factor h(b).
-2*b**3*(b - 1)*(b + 2)/11
Let n be 1/2 - 1 - (-59)/118. Let g(y) be the second derivative of 1/39*y**3 - 1/78*y**4 + n*y**2 + 0 - 7*y. Factor g(u).
-2*u*(u - 1)/13
Let v(x) be the second derivative of -x**7/56 - x**6/40 + 33*x**5/80 - 7*x**4/16 - 5*x**3/4 + 3*x**2 - 3*x - 18. Find h such that v(h) = 0.
-4, -1, 1, 2
Let v(o) be the first derivative of o**4/2 + 18*o**3 - 147*o**2 + 494*o + 2. Let z(w) = -w**3 - 55*w**2 + 295*w - 495. Let s(r) = -5*v(r) - 6*z(r). Factor s(y).
-4*(y - 5)**3
Let u(m) be the third derivative of -m**6/30 - 4*m**5/15 - 424*m**2. Find r, given that u(r) = 0.
-4, 0
What is i in 12 - i**4 - 10*i + 6*i + 3*i**3 + 12 - 18*i**2 + 6*i**3 = 0?
-1, 2, 6
Let i(l) be the second derivative of l**6/10 - l**5/10 - 3*l**4/4 + 2*l**2 + 241*l. Suppose i(b) = 0. What is b?
-1, 2/3, 2
Let u(b) = 7*b**5 - 8*b**4 - 6*b**3 + 124*b**2 + 215*b + 96. Let o(y) = -2*y**5 + 2*y**3 + 1. Let m(v) = -20*o(v) - 5*u(v). Suppose m(n) = 0. What is n?
-5, -1, 4
Let m(w) be the first derivative of -4*w**3 - 25*w**2/4 - w/2 + 95. Solve m(b) = 0.
-1, -1/24
Factor 0*r - 4/5*r**5 + 0*r**3 - 32*r**4 + 0 + 0*r**2.
-4*r**4*(r + 40)/5
Let i(l) be the third derivative of -l**9/151200 - l**8/10080 - l**7/3150 - 17*l**5/30 - 48*l**2. Let a(j) be the third derivative of i(j). Factor a(d).
-2*d*(d + 1)*(d + 4)/5
Let h(s) be the third derivative of 0*s**4 - 1/24*s**6 + 1/24*s**5 + 0*s**3 + 0*s + 0 + 1/84*s**7 - 4*s**2. Factor h(i).
5*i**2*(i - 1)**2/2
Let h = 61/140 + -1/28. Suppose 2*w - 8 = -2*z, -2*z + w + 11 = 2*z. Determine c so that -h*c**z + 0 - 2/5*c**5 + 0*c**2 + 0*c - 4/5*c**4 = 0.
-1, 0
Let h(g) = 3*g**2 - 6*g - 1. Let v = 4 + -3. Let t be 5 + -12 + (4 - v). Let m(j) = 15*j**2 - 30*j - 6. Let f(p) = t*m(p) + 21*h(p). Find b such that f(b) = 0.
1
Let y(l) be the second derivative of -3*l**6/10 - 249*l**5/10 - 2239*l**4/4 + 812*l**3 + 1176*l**2 - 2*l - 365. Solve y(q) = 0.
-28, -1/3, 1
Determine v so that -1/2*v + 3 - 3*v**2 + 1/2*v**3 = 0.
-1, 1, 6
Let l = 95 + -89. Let f(a) be the third derivative of 1/105*a**7 + 0*a**4 + 0*a**3 + 2*a**2 + 1/30*a**l + 1/30*a**5 + 0*a + 0. Solve f(m) = 0 for m.
-1, 0
Suppose -5/3*w**2 + 0 - 2*w + 1/3*w**3 = 0. Calculate w.
-1, 0, 6
Let y = -2/1003 + 1563/280840. Let i = 1051/280 - y. Let -9/4*k**2 - 3/2*k + 0 + i*k**3 = 0. Calculate k.
-2/5, 0, 1
Let i(s) be the second derivative of -s**4/4 + 23*s**3 - 1587*s**2/2 + 2*s - 118. Suppose i(y) = 0. What is y?
23
Suppose -15*w**3 - 8*w**3 - 12*w**2 + 25*w**3 = 0. What is w?
0, 6
Let l = 14900 - 14892. What is b in -4/3*b**4 - 16*b - 16/3 - 52/3*b**2 - l*b**3 = 0?
-2, -1
Let d = 38 + 107. Suppose 164 - 4*i**2 - d - 695 - 104*i = 0. What is i?
-13
Find t such that 8/5*t**4 + 2/5*t**5 + 4/5*t**3 - 8/5*t**2 - 6/5*t + 0 = 0.
-3, -1, 0, 1
Let u be 1*(-3 - (0 - 3)). Suppose u = 3*t + t. Let 26*a - 4*a**4 - 24*a - 2*a**5 + t*a**4 + 4*a**2 = 0. What is a?
-1, 0, 1
Let j be 28/15 + -2 - 361/(-570). Find d such that 0 + 1/2*d**2 - j*d = 0.
0, 1
Let j(x) = 5*x**2 - 2*x - 3. Let n(y) = -3*y**2 + 2*y + 3. Let f(b) = -5*j(b) - 8*n(b). Factor f(t).
-(t + 3)**2
Let w(o) be the third derivative of -o**5/360 + 7*o**4/72 - 5*o**3/4 - 448*o**2. Determine g, given that w(g) = 0.
5, 9
Let j(a) be the third derivative of -a**7/140 + 3*a**6/80 - a**5/40 - 3*a**3 + 6*a**2. Let k(y) be the first derivative of j(y). Determine o so that k(o) = 0.
0, 1/4, 2
Let n(a) = 4*a**2 - 3*a - 3. Let d be n(2). Suppose 4 = 3*h - h. Suppose 2*j**h + 6 - 10 - 6*j + j**2 + d = 0. Calculate j.
1
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