such that t(l) = 0.
-1, 1
Suppose 15 = 19*y - 4. Let -13/4*c**2 + 3/2*c**3 + 3*c - 1/4*c**4 - y = 0. What is c?
1, 2
Determine c, given that 12*c**3 + 8*c**3 + 24 - 80*c + 0*c**2 - 5*c**2 - 4 = 0.
-2, 1/4, 2
Let p(r) be the second derivative of r**5/100 + r**4/40 - 3*r**2/2 - 2*r. Let v(d) be the first derivative of p(d). Determine g so that v(g) = 0.
-1, 0
Let x(w) be the third derivative of 0*w**3 + 0 + 0*w**4 - 5*w**2 + 0*w + 1/180*w**5 + 1/180*w**6 + 1/630*w**7. Find i, given that x(i) = 0.
-1, 0
Let u(z) = z**5 - z**4 + 1. Let k(p) = -2*p**5 + p**4 - 1. Let m(v) = 3*k(v) + 3*u(v). Factor m(b).
-3*b**5
Suppose -r + 3*r = 5*w - 12, -2*r + 6 = 4*w. Factor -d**3 - 3*d - 6*d**2 + 3*d**w - 1 + 0*d**2.
-(d + 1)**3
Let x(g) = 10*g**2 - 21*g + 24. Let l(c) = -3*c**2 + 7*c - 8. Let m(u) = -7*l(u) - 2*x(u). Let y be m(6). Solve 0*j - j**2 + 3*j - y*j = 0 for j.
0, 1
Let k be (-21)/(-45) - 3/(-15). Let z(i) be the second derivative of -2*i**2 - 2*i - k*i**3 - 1/12*i**4 + 0. Factor z(m).
-(m + 2)**2
Let p(f) be the third derivative of -5*f**8/336 - f**7/21 - f**6/24 + 67*f**2. Find c, given that p(c) = 0.
-1, 0
Let w(l) be the second derivative of -l**5/180 - l**4/36 - l**3/18 - 3*l**2/2 - 3*l. Let b(n) be the first derivative of w(n). Determine u so that b(u) = 0.
-1
Let m(d) be the first derivative of 4*d**5 + d**4 - 20*d**3/3 - 2*d**2 + 2. Factor m(k).
4*k*(k - 1)*(k + 1)*(5*k + 1)
Let o(q) be the second derivative of 0*q**2 - 1/6*q**3 + 1/12*q**4 + 0 - q. Factor o(d).
d*(d - 1)
Let j(y) = -y - 8. Let s be j(0). Let n = -5 - s. Suppose 2/9*b**4 - 2/3*b**2 + 0 + 0*b**n - 4/9*b = 0. Calculate b.
-1, 0, 2
Let u(k) be the third derivative of k**5/30 + 2*k**4/3 + 21*k**2. Solve u(s) = 0.
-8, 0
Let n be (-6)/(-12)*(16/6 + -2). Let y = 4/9 - 1/9. Suppose 1/3*d**3 + n - y*d - 1/3*d**2 = 0. What is d?
-1, 1
Let r(c) be the first derivative of 1/33*c**6 + 2/33*c**3 + 0*c**2 + 3/22*c**4 + 6 + 6/55*c**5 + 0*c. Suppose r(x) = 0. Calculate x.
-1, 0
Let q(u) be the first derivative of 2*u**5/45 - 4*u**4/9 + 32*u**3/27 + 4. Factor q(y).
2*y**2*(y - 4)**2/9
Let m(u) be the first derivative of -3*u**5/4 + 7*u**4/4 - u**3 - 5*u + 5. Let d(j) be the first derivative of m(j). Solve d(l) = 0 for l.
0, 2/5, 1
Let k be 36/28 + (-2)/7. Let a be -3 + k + (-2)/(-1). Determine h so that 0*h + a + 0*h**2 - 1/3*h**3 + 1/3*h**4 = 0.
0, 1
Let s be (-4)/14 + (-160)/28. Let l(f) = -f + 2. Let c be l(s). Solve 0*k**4 + 5*k**5 + k**4 - 2*k**2 + 1 + 4*k - c*k**3 - k**5 = 0 for k.
-1, -1/4, 1
Let o be (-1)/(-3) - 20/(-15). Let t(n) be the second derivative of -2*n**2 - n - 1/6*n**4 + 1/5*n**6 + 0 - 1/2*n**5 + o*n**3. Factor t(c).
2*(c - 1)**2*(c + 1)*(3*c - 2)
Factor -10/23*r + 2/23*r**2 + 0.
2*r*(r - 5)/23
Let w(k) be the first derivative of k**5/100 + k**4/60 - 6*k + 1. Let g(o) be the first derivative of w(o). What is r in g(r) = 0?
-1, 0
Let s(x) be the second derivative of -x**7/14 + 3*x**5/5 + x**4/2 - 3*x**3/2 - 3*x**2 + 11*x. Suppose s(l) = 0. What is l?
-1, 1, 2
Let b be ((-2)/(-10))/((-58)/(-20) - 2). Solve 10/9*o**3 - 10/9*o + 2/9*o**2 - b = 0.
-1, -1/5, 1
Let l(c) be the third derivative of -c**5/180 - c**4/24 - c**3/9 - 12*c**2. Factor l(n).
-(n + 1)*(n + 2)/3
Let s(x) be the third derivative of -x**8/23520 + x**4/24 - 3*x**2. Let z(j) be the second derivative of s(j). Suppose z(y) = 0. What is y?
0
Let y = 9913/120 - 413/5. Let x(v) be the third derivative of 0*v + y*v**5 + 1/240*v**6 + v**2 - 1/12*v**3 - 1/48*v**4 + 0. Determine r, given that x(r) = 0.
-1, 1
Let y = -461/4 + 116. Factor 3/4*p + y*p**3 - 3/2*p**2 + 0.
3*p*(p - 1)**2/4
Let x = 483 + -2409/5. Suppose -6/5 + x*s**2 - 3*s**3 + 3*s = 0. Calculate s.
-1, 2/5, 1
Let t = 8 + -5. Solve 0 + 12/5*c**2 - 3/5*c - 6/5*c**t + 9/5*c**5 - 12/5*c**4 = 0 for c.
-1, 0, 1/3, 1
Suppose 2*l + 21 = 5*d, -l = 4*d - 15 - 7. Let v = l - 0. Factor 1/5 - 1/5*t**v + 1/5*t**3 - 1/5*t.
(t - 1)**2*(t + 1)/5
Let t(x) be the first derivative of -x**4/32 + x**2/4 - 1. Factor t(v).
-v*(v - 2)*(v + 2)/8
Let h(u) be the second derivative of -2*u**6/15 + 3*u**5/5 + 4*u**4/3 - 10*u. Factor h(c).
-4*c**2*(c - 4)*(c + 1)
Let s(m) be the third derivative of 0 + 0*m + 2*m**2 + 0*m**3 + 3/70*m**7 + 0*m**4 + 1/30*m**5 + 11/120*m**6. Factor s(q).
q**2*(q + 1)*(9*q + 2)
Let u be 30/(-10) + (-10)/(-6)*3. Let a(o) be the second derivative of -u*o - 1/20*o**4 - 3/100*o**5 - 1/30*o**3 + 0*o**2 - 1/150*o**6 + 0. Factor a(y).
-y*(y + 1)**3/5
Suppose -l - 4 = -3*l. Factor 12 - l*x**3 - 12 - x**4 - x**2.
-x**2*(x + 1)**2
Suppose x - 136 = -3*x. Determine w so that 12*w**2 + x*w**4 - 17 + 41*w**4 + 17 + 60*w**3 = 0.
-2/5, 0
Let x(i) be the first derivative of i**7/945 - 2*i**2 + 2. Let f(b) be the second derivative of x(b). What is m in f(m) = 0?
0
Let o be (-52)/14 - (-4)/(-14). Let k be (-10)/o - (-2 + 4). Factor 0*q + k*q**3 + 0*q**2 + 0.
q**3/2
Let k(r) be the second derivative of 3/80*r**5 - 3*r + 1/2*r**2 + 0*r**3 + 0 - 7/48*r**4. Factor k(y).
(y - 2)*(y - 1)*(3*y + 2)/4
Factor -2*w - 2/9*w**2 + 20/9.
-2*(w - 1)*(w + 10)/9
Suppose 28 = 4*b - 3*k, -3*b - k = -b - 4. Suppose -5*z + 6*z**b + 13*z + 9*z**5 - 2*z - 30*z**3 + 15*z - 6 = 0. Calculate z.
-2, -1, 1/3, 1
Factor 3*l - l**2 + 2 + l**4 + 6*l + l**5 - 6 - l - 5*l**3.
(l - 1)**3*(l + 2)**2
Let u(v) be the second derivative of 0*v**2 + 0 + 4/3*v**3 - 7/10*v**5 + 2*v + 2*v**4. Factor u(o).
-2*o*(o - 2)*(7*o + 2)
Let s(p) be the second derivative of p**8/3360 - p**7/252 + p**6/45 - p**5/15 - p**4/6 - p. Let o(j) be the third derivative of s(j). Let o(k) = 0. What is k?
1, 2
Factor 7 + 50 - 12*l**2 - 25 - 24*l + 4*l**3.
4*(l - 4)*(l - 1)*(l + 2)
Let k(r) = 2*r**2 - r + 2. Let v be k(2). Suppose i = -i + v. Solve 3*w**2 + w**4 + 3*w**3 - 5*w**2 + w - 2*w**i - w**2 = 0.
0, 1
Let s(p) be the third derivative of p**6/60 - 2*p**5/5 + 4*p**4 - 64*p**3/3 + 5*p**2. Find y, given that s(y) = 0.
4
Let m(o) be the second derivative of -o**7/840 + o**5/120 - o**3/24 + o**2/2 + 2*o. Let l(v) be the first derivative of m(v). Factor l(d).
-(d - 1)**2*(d + 1)**2/4
Suppose 2*l = 10, -2*l + l = -2*a - 5. Let i = a + 0. Factor -2/13*g**2 + i*g + 2/13.
-2*(g - 1)*(g + 1)/13
Let o(n) be the second derivative of -n**7/462 + n**5/110 - n**3/66 + 25*n. Suppose o(d) = 0. Calculate d.
-1, 0, 1
Let u(a) be the third derivative of a**6/12 - a**5/12 - 5*a**4/24 - a**2 + 20. Factor u(r).
5*r*(r - 1)*(2*r + 1)
Let g(o) = o**2 + 34*o + 66. Let s be g(-32). Let -4/3*q**s - 10/9*q + 14/9*q**4 - 2/9 + 2/3*q**5 + 4/9*q**3 = 0. Calculate q.
-1, -1/3, 1
Let f(h) = h**2 - 3*h + 2. Let w(d) = d**2 - 2*d + 1. Let c(l) = -5*f(l) + 6*w(l). Let c(a) = 0. Calculate a.
-4, 1
Let m be (0/(-1) - -4) + -4. Let v(k) be the third derivative of 0 + 1/420*k**6 + 0*k + 0*k**5 - 2*k**2 + m*k**3 - 1/84*k**4. Factor v(l).
2*l*(l - 1)*(l + 1)/7
Factor -f**3 + 9*f**5 - 7*f**3 + 4*f**2 - 4 - 6*f**5 + 6*f - f**5.
2*(f - 1)**3*(f + 1)*(f + 2)
Let k(c) = c**3 - 8*c**2 + 7*c + 6. Let u be k(7). Let b be 4/12*9/u. Factor 0*m - 1/2*m**2 + 0 - b*m**3.
-m**2*(m + 1)/2
Let y(i) be the second derivative of i**7/336 - i**5/80 + i**3/48 + 3*i. Find d such that y(d) = 0.
-1, 0, 1
Let m = 6 + -3. Let p be ((-7)/(-21))/(2/m). Factor -p*g**3 + 1/2*g**2 + 0*g + 0.
-g**2*(g - 1)/2
Let x = -9 + 14. Factor -2*i**2 + 2*i + i**2 + x*i**2 + 2*i**3.
2*i*(i + 1)**2
Solve 6*g + 2397*g**3 + g - 2398*g**3 + 6 = 0 for g.
-2, -1, 3
Let i(k) be the third derivative of k**9/30240 - k**8/5040 + k**7/2520 + k**5/20 - 3*k**2. Let r(j) be the third derivative of i(j). Factor r(u).
2*u*(u - 1)**2
Let r be (20 - 0)*5/25. Factor 1/2*m**r + m**3 - m - 1/2 + 0*m**2.
(m - 1)*(m + 1)**3/2
Let x(s) be the third derivative of -1/40*s**6 + 6*s**2 + 0 - 3/10*s**5 + 0*s - 9/8*s**4 + 0*s**3. Let x(w) = 0. What is w?
-3, 0
Let o = 10 - 15. Let q = o - -5. Determine w, given that 1/3*w**2 + q - 1/3*w = 0.
0, 1
Suppose -8*j**2 + 13 + 2*j + 3 + 10*j + 4*j**2 = 0. What is j?
-1, 4
Determine v, given that 5/4*v**2 + 0 - 5/4*v**3 + 0*v = 0.
0, 1
Solve -2*l**3 - 3*l + 4*l - 56*l**5 + 57*l**5 + 0*l = 0 for l.
-1, 0, 1
Let k(l) = 4*l**2 + 8*l - 9. Let p(m) = -7*m**2 - 16*m + 18. Let j(t) = 5*k(t) + 3*p(t). Find v such that j(v) = 0.
-9, 1
Let i(u) be the first derivative of 3*u**5/25 - 3*u**4/20 - u**3/5 + 3*u**2/10 + 5