e h so that r(h) = 0.
0, 2
Let l = 34 - 34. Factor l*v + 0 + 2/11*v**2.
2*v**2/11
Let s(y) = 23*y**2 - 12*y + 1. Let u(c) = 45*c**2 - 25*c + 2. Let p(i) = -15*s(i) + 6*u(i). Find x such that p(x) = 0.
1/5
Let w(s) be the first derivative of s**6/3 + 6*s**5/5 - s**4 - 8*s**3 - 8*s**2 + 6. Factor w(y).
2*y*(y - 2)*(y + 1)*(y + 2)**2
Suppose -3*q + 16 = 7. Factor -2/15*k**4 + 0*k + 0 + 0*k**q + 2/15*k**2.
-2*k**2*(k - 1)*(k + 1)/15
Suppose -r = 3*r - 20. Suppose 0 = 3*y - r*y + 8. Let -3/4*b**2 - 3/4*b**3 - 1/4*b**y - 1/4*b + 0 = 0. What is b?
-1, 0
Let h = 16 - 18. Let x be 16/6 + (-4)/h. Find c, given that -x*c + 16/3*c**2 - 2*c**3 + 4/3 = 0.
2/3, 1
Let h be -2 + (-128)/(-56) - 24/(-14). Determine c so that 2*c - 3 - 1/3*c**h = 0.
3
Factor -2*d**5 - 2*d**2 - 6*d**4 - 3*d - 6*d**3 + 3*d.
-2*d**2*(d + 1)**3
Suppose 2*a**5 + 2*a - 437*a**4 - 4*a**3 + 437*a**4 = 0. What is a?
-1, 0, 1
Let f be 3 + 2 - (-5)/(10/(-6)). Let -21/4*l**f - 3*l**3 + 3/4 - 3/2*l = 0. Calculate l.
-1, 1/4
Suppose 39 = 4*k + 4*j - 9*j, 0 = -k + 3*j + 8. Suppose -6*b = -k*b + 20. Factor 0*m + 0 - 3/7*m**2 + 3/7*m**b + 0*m**3.
3*m**2*(m - 1)*(m + 1)/7
Suppose b - 4*s - 2 = 14, -5*b + s = -4. Solve 0*l**2 + b - 1/2*l**3 + 1/2*l**4 + 0*l = 0.
0, 1
Let c(r) be the first derivative of 0*r + 0*r**2 - 1/10*r**4 - 1/15*r**6 + 0*r**3 + 4/25*r**5 - 1. Suppose c(f) = 0. Calculate f.
0, 1
Factor -n**2 + 1/3*n**3 + 0*n + 0.
n**2*(n - 3)/3
Let z(a) be the second derivative of a**5/20 + a**4/12 - a**3/6 + 3*a. Let d(q) = 4*q**3 + 3*q**2 - 3*q. Let t(g) = d(g) - 3*z(g). Factor t(v).
v**3
Let t(b) be the second derivative of b**8/1680 - b**7/126 + 7*b**6/180 - b**5/10 + b**4/6 - 2*b. Let w(z) be the third derivative of t(z). Factor w(v).
4*(v - 3)*(v - 1)**2
Let m = -114 + 173. Let h = -175/3 + m. Let h*g**2 + 0 - 1/3*g**3 - g**4 + 0*g = 0. What is g?
-1, 0, 2/3
Suppose 3*n = 20 - 8. Find v, given that -n*v - 37*v**2 + 36*v**2 + v = 0.
-3, 0
Let b(j) be the first derivative of j**7/630 + j**6/180 + j**5/180 - 5*j**2/2 - 1. Let z(d) be the second derivative of b(d). Suppose z(v) = 0. What is v?
-1, 0
Let d(t) be the first derivative of 5/14*t**4 + 9/7*t**2 - 4/7*t - 4 - 8/7*t**3. What is h in d(h) = 0?
2/5, 1
Let l = -118/253 + 17/23. Let r = l - -7/55. Solve r - 2/5*i**2 + 0*i = 0 for i.
-1, 1
Determine z, given that -z**4 + 2*z - 3*z + 554*z**3 - 3*z**2 - 557*z**3 = 0.
-1, 0
Let r(b) = -3*b - 4. Let n be r(-5). Let w = -7 + n. Let -k**w - 2 + 4*k**3 - 5*k - k**3 - k**2 + 2*k**3 + 4*k**4 = 0. Calculate k.
-1, -2/3, 1
Suppose 10*k - 14 = 6. Let b(o) be the second derivative of 0*o**5 + 0*o**k + 0*o**6 + 0*o**4 + 0 - 1/168*o**7 - 4*o + 0*o**3. Solve b(w) = 0.
0
Suppose -2*r - 2 = 8, 5*b + 10 = -4*r. Let s = 5 - 2. Factor 4/7*g**b + 0 + 0*g - 10/7*g**s.
-2*g**2*(5*g - 2)/7
Suppose 0 = 5*o - 6*o + 99. Let a be 18/o - (-38)/33. Solve -14/3*p**3 - 22/3*p - a - 32/3*p**2 = 0 for p.
-1, -2/7
Let j(t) be the third derivative of 3/2*t**3 + 1/60*t**5 - 6*t**2 - 1/4*t**4 + 0*t + 0. Factor j(p).
(p - 3)**2
Suppose -2 = l - 2*l. Let i(g) be the first derivative of -2/21*g**3 - 1/7*g**l + 0*g + 1. Suppose i(b) = 0. What is b?
-1, 0
Let i(d) be the third derivative of -d**8/504 + d**6/180 - d**2. Factor i(u).
-2*u**3*(u - 1)*(u + 1)/3
Let i = -32 - -20. Let t be (i/105)/(6/(-15)). Factor 0 - 2/7*o**2 - t*o.
-2*o*(o + 1)/7
Let p(u) be the third derivative of -2*u**3 + 0*u + 0 + 1/20*u**5 + 0*u**4 + 6*u**2. Let p(h) = 0. What is h?
-2, 2
Find s such that 16/7*s**2 + 10/7*s**3 - 4/7 + 2/7*s = 0.
-1, 2/5
Let i(o) be the first derivative of o**5/140 - o**4/28 + o**3/14 - o**2/14 - 5*o - 4. Let q(f) be the first derivative of i(f). Factor q(w).
(w - 1)**3/7
Let y(r) be the third derivative of 0*r - 3*r**2 + 0 + 1/96*r**4 - 1/240*r**5 + 1/12*r**3. Suppose y(d) = 0. What is d?
-1, 2
Factor -8/11 + 20/11*v**2 - 14/11*v**3 + 2/11*v.
-2*(v - 1)**2*(7*v + 4)/11
Let q(s) be the second derivative of -s**7/42 + s**6/10 - s**4/3 + 6*s. Factor q(t).
-t**2*(t - 2)**2*(t + 1)
Let u = 3 + -1. Suppose -5 - 1 = -u*y. Suppose 2/7*b + 6/7*b**4 + 0 + 2/7*b**2 - 10/7*b**y = 0. Calculate b.
-1/3, 0, 1
Let m(b) be the second derivative of b**6/60 + b**5/30 - b**4/12 - b**3/3 + 4*b**2 - 5*b. Let l(f) be the first derivative of m(f). Factor l(d).
2*(d - 1)*(d + 1)**2
Let m = 622/45 - 68/5. Let w = 1 + 1. Solve 2/9*j - m*j**w + 0 = 0.
0, 1
Let n(u) = -2*u**2 - 4*u + 1. Let w be n(-3). Let p = 7 + w. Find f such that -2*f**2 + 0*f + 0*f + p*f**3 = 0.
0, 1
Let t(n) be the third derivative of n**7/280 - n**6/160 - 3*n**5/80 + n**4/32 + n**3/4 + 10*n**2. Factor t(o).
3*(o - 2)*(o - 1)*(o + 1)**2/4
Let l(t) be the third derivative of -t**5/120 + t**4/12 - t**3/3 + 6*t**2. Find g, given that l(g) = 0.
2
Factor 0 + 0*k + 2/13*k**2 + 2/13*k**4 + 4/13*k**3.
2*k**2*(k + 1)**2/13
Let s(i) be the third derivative of -i**7/105 + i**6/240 + i**5/30 - i**4/48 + 17*i**2. Factor s(f).
-f*(f - 1)*(f + 1)*(4*f - 1)/2
Let s(l) = l**2 + 1. Let b be s(-1). Let -1 - 8*o**2 + 7*o**b + 2 = 0. What is o?
-1, 1
Let p(k) = 6 + 9*k + 3*k**2 - k**3 - 3 - 5*k. Let v be p(4). Solve d**2 - 3*d**3 + 4*d**v + 3*d**2 + d**3 = 0.
-2, 0
Let s be 2/(((-2)/(-8))/((-60)/(-240))). Factor 2/3 + 1/3*f - 1/3*f**s.
-(f - 2)*(f + 1)/3
Let s(g) = 75*g**2 - 112*g + 23. Let w(f) = -25*f**2 + 37*f - 8. Let r(h) = -2*s(h) - 7*w(h). Factor r(i).
5*(i - 1)*(5*i - 2)
Let t = -1573/9 + 175. Factor 2/9*w**5 + 0 + t*w**4 - 2/9*w**2 - 2/9*w**3 + 0*w.
2*w**2*(w - 1)*(w + 1)**2/9
Let z be (-2 - (-7)/2)/(420/80). Solve 0 + 2/7*f - z*f**2 = 0 for f.
0, 1
Let c be (((-16)/(-8))/2)/((-2)/(-4)). What is j in 1/3*j**c + j + 0 = 0?
-3, 0
Suppose 4*l - 2*j = 24, -2*l - l + 18 = 4*j. Suppose -6*y**2 - 8*y - l + 15*y**3 - 7*y + 12 = 0. Calculate y.
-1, 2/5, 1
Let t be 20/8*(-8)/(-20). Let c be 26/5 + (-4)/t. Factor c*k - 2/5*k**2 - 4/5.
-2*(k - 2)*(k - 1)/5
Let h(j) be the third derivative of -j**6/660 + j**5/110 + j**4/33 - 2*j**2. Factor h(k).
-2*k*(k - 4)*(k + 1)/11
Let i(x) = -x**2 + 3. Let s(y) = -3*y**2 - y + 7. Let t(o) = -o**3 - 2*o**2 + 3*o - 2. Let a be t(-3). Let z(p) = a*s(p) + 5*i(p). Suppose z(l) = 0. What is l?
-1
Let i be (-2 - -3)*(7 + -3). Factor 0*v**3 + 1/3*v**2 - 1/3*v**i + 0 + 0*v.
-v**2*(v - 1)*(v + 1)/3
Let u(t) be the third derivative of -t**5/270 - t**4/27 - 4*t**3/27 + 6*t**2. Factor u(s).
-2*(s + 2)**2/9
Factor -d - 2*d**3 + 5*d - 2*d**3 + 4*d**4 - 4*d**2.
4*d*(d - 1)**2*(d + 1)
Let h(p) be the second derivative of -p**5/20 + 2*p**4/3 - 5*p**3/6 + 2*p**2 - 4*p. Let z(b) = -b**3 - b + 1. Let s(k) = -h(k) + 6*z(k). Solve s(t) = 0 for t.
-1, 2/5
Let t(k) be the second derivative of -k**7/56 + k**6/20 + 3*k**5/80 - k**4/8 - 44*k. Find n such that t(n) = 0.
-1, 0, 1, 2
Let a(b) be the second derivative of -b**7/84 - b**6/60 + b**5/40 + b**4/24 + 4*b. Let a(n) = 0. What is n?
-1, 0, 1
Let o(n) be the third derivative of 0*n + 6*n**2 + 1/140*n**5 + 0 + 2/7*n**3 - 1/784*n**8 + 1/7*n**4 - 1/40*n**6 - 1/98*n**7. What is j in o(j) = 0?
-2, -1, 1
Let s(g) be the third derivative of g**8/504 - g**6/180 + 6*g**2. Suppose s(x) = 0. Calculate x.
-1, 0, 1
Let z(d) be the third derivative of -d**7/2520 + d**6/1080 + d**5/90 - d**4/18 + d**3/2 + 3*d**2. Let a(o) be the first derivative of z(o). Factor a(r).
-(r - 2)*(r - 1)*(r + 2)/3
Let g = -75 + 75. Let a(n) be the first derivative of -1/5*n**5 + 1/3*n**3 + 1/4*n**4 + 3 + g*n**2 - 1/6*n**6 + 0*n. Factor a(w).
-w**2*(w - 1)*(w + 1)**2
Factor -4*m + 4*m**2 - 5*m**2 + 32 - 12*m + 3*m**2.
2*(m - 4)**2
Let b(g) = g**3 + 10*g**2 + g + 13. Let l be b(-10). Factor 9*j**3 - 85*j + 91*j - 8*j**l + 27*j**2 + 20*j**3.
3*j*(j + 1)*(7*j + 2)
Let a = 23/7320 - -4/183. Let r(p) be the second derivative of 0 + a*p**6 + 0*p**2 + 3*p - 1/80*p**5 - 1/24*p**4 + 0*p**3. Find v such that r(v) = 0.
-2/3, 0, 1
Suppose -18 = -0*w - 3*w. Let p = w + -2. Factor p*y + 0*y - 3*y - y**2.
-y*(y - 1)
Let l(y) = y**2 - 13*y + 15. Let g be l(12). Factor 2*i**2 - 4*i + 1 + 2*i**3 + 2*i - g.
2*(i - 1)*(i + 1)**2
Let i = 123/2 + -61. Let x(c) be the first derivative of 0*c**5 + 0*c - 1/6*c**6 - i*c**2 + 1/2*c**4 - 3 + 0*c**3. Find r, given that x(r) = 0.
-1, 0, 1
Let z be (-85)/(-90) - (21/6 - 3). Factor -2/9*a**2 + z - 2/9*a.
-2*(a - 1)*(a + 2)/9
Let q(t) be the second derivativ