ose -u - q = 0, -1 + 2 = 4*u + 3*q. Suppose v = 2 + u. Let 0*r**v - 24*r**4 - 18*r**5 - 6*r**3 - 2*r**3 = 0. Calculate r.
-2/3, 0
Let i be (3 + (-11)/3)*-3. Factor -c**2 + 2*c**i - 4*c + 2*c.
c*(c - 2)
Let w(t) be the first derivative of -1/3*t**3 + 11/8*t**4 + 0*t - 5 + 0*t**2 - 9/5*t**5 + 3/4*t**6. Find q such that w(q) = 0.
0, 1/3, 2/3, 1
Let a(t) = 2*t**4 + 9*t**3 - 43*t**2 + 57*t - 28. Let i(d) = -5*d**4 - 17*d**3 + 85*d**2 - 113*d + 57. Let h(q) = -7*a(q) - 3*i(q). Factor h(j).
(j - 5)**2*(j - 1)**2
Let k(c) be the third derivative of -c**7/3780 - c**6/1620 + c**5/270 - 5*c**3/6 - 2*c**2. Let a(j) be the first derivative of k(j). Let a(t) = 0. What is t?
-2, 0, 1
Let z(i) be the first derivative of i**4/16 + i**3/12 - i**2/2 - i - 12. Let z(r) = 0. What is r?
-2, -1, 2
Let a(n) be the second derivative of 0*n**2 - 3*n + 0 - 1/10*n**5 + 0*n**3 - 1/30*n**6 - 1/12*n**4. Find b, given that a(b) = 0.
-1, 0
Suppose 0 = -2*u - u - 21. Let l = 10 + u. Find m such that 1/4*m**l + 0 + 1/4*m**2 + 0*m = 0.
-1, 0
Let a = -1/109 + 133/2616. Let r(d) be the second derivative of 0 + 1/6*d**3 + 0*d**2 + a*d**4 + d. Determine y, given that r(y) = 0.
-2, 0
Let j(v) be the third derivative of -v**5/12 - 5*v**4/8 + 10*v**3/3 - 23*v**2. Let j(u) = 0. Calculate u.
-4, 1
Let r = -2 + 5. Let n be (r - -3) + (-1 - 2). Find y such that 1/2*y**n - 3/2*y**2 + y + 0 = 0.
0, 1, 2
Let x(k) = -131*k**4 - 150*k**3 - 66*k**2 - 8*k. Let f(v) = -v**4 - v**2. Let w(c) = 6*f(c) - x(c). Determine u so that w(u) = 0.
-2/5, 0
Let i = -506 + 508. Let j = 36/13 + -226/91. Factor -4/7*u**3 + 4/7*u**i + 2/7 - j*u**5 + 6/7*u - 6/7*u**4.
-2*(u - 1)*(u + 1)**4/7
Let l(q) be the first derivative of 1 - 5/12*q**4 + q**2 - 1/2*q**3 + 3*q. Let n(i) be the first derivative of l(i). Factor n(m).
-(m + 1)*(5*m - 2)
Let r = 33/133 - -5/133. Factor -r*g + 3/7 - 1/7*g**2.
-(g - 1)*(g + 3)/7
Let d(q) = q**4 - 7*q**3 + 17*q**2 - 14*q + 9. Let h(g) = 4*g**4 - 28*g**3 + 68*g**2 - 55*g + 37. Let l(i) = 26*d(i) - 6*h(i). Determine m, given that l(m) = 0.
1, 2, 3
Suppose 4 + 14 = 9*c. Find f, given that 2*f**c + 2*f - 35/2*f**3 + 0 = 0.
-2/7, 0, 2/5
Let s(h) = h**2 + 6*h + 2. Let o be s(-3). Let k be (o - -7)/(1 + -2). Let g**2 + g**2 + 4*g**3 - 2*g**3 + k*g**3 = 0. What is g?
-1, 0
Factor -13*f - f**3 + 2*f**2 - 2 + 21*f - 10*f + 3*f**3.
2*(f - 1)*(f + 1)**2
Let q(x) = x. Let f be q(4). Let t = -1 + f. Factor -t*a**2 + a**2 + 8*a**3 - 6*a**4 - 2*a**4.
-2*a**2*(2*a - 1)**2
Let c = 13 - 15. Let y be (0 - 2/(-1)) + c. Solve 3/2*x**2 + y*x + 0 = 0.
0
Let h be 9/(-30)*(-7)/18. Let o(k) be the third derivative of -2/5*k**5 + 0 - 1/4*k**4 + 4*k**2 + 0*k + 2/3*k**3 - h*k**6. Suppose o(s) = 0. What is s?
-1, 2/7
Let t(f) be the second derivative of -f**6/15 - f**5/5 + f**4/2 + 8*f**3/3 + 4*f**2 + 12*f. Factor t(j).
-2*(j - 2)*(j + 1)**2*(j + 2)
Suppose -8/5*p**2 + 0*p + 4/5*p**4 + 4/5 + 0*p**3 = 0. What is p?
-1, 1
Let k be 2/3 + (-504)/(-54). Suppose 6*q + 12 = k*q. Factor 1/4*c - 1/4*c**2 + 1/4 - 1/4*c**q.
-(c - 1)*(c + 1)**2/4
Let u(k) be the second derivative of 0*k**3 + 0*k**2 + 1/18*k**4 + 4*k - 1/30*k**5 + 0. Factor u(g).
-2*g**2*(g - 1)/3
Let c(k) be the first derivative of -7*k**4 + 134*k**3/3 + 17*k**2 - 20*k + 36. Factor c(p).
-2*(p - 5)*(2*p + 1)*(7*p - 2)
Let m(g) = -g**4 + 3*g**3 + 2*g**2 - 3*g + 2. Let x(n) = n**3 - n + 1. Let u(q) = -m(q) + 3*x(q). Factor u(j).
(j - 1)**2*(j + 1)**2
Let j(m) be the third derivative of 0 - 1/20*m**5 + 2*m**2 + 0*m + 1/6*m**4 - 1/6*m**3. Find k, given that j(k) = 0.
1/3, 1
Let c(a) be the second derivative of a**6/240 + a**5/120 - a**4/48 - a**3/12 - 2*a**2 - 4*a. Let r(l) be the first derivative of c(l). What is u in r(u) = 0?
-1, 1
Let s(c) be the second derivative of -c**8/4480 - c**7/840 - c**6/480 + c**4/2 - 2*c. Let b(f) be the third derivative of s(f). Factor b(j).
-3*j*(j + 1)**2/2
Let u = 89/663 + 1/51. Find b such that -6/13*b**2 - u - 6/13*b - 2/13*b**3 = 0.
-1
Let i be 19*1 - (1 + 2). Suppose i = 3*b - 65. Factor 1 + 15*c**2 - 3*c - 9*c**3 - 1 - b*c**4.
-3*c*(c + 1)*(3*c - 1)**2
Let v = 1 + -1. Let n = v + 3. Let j(m) = 3*m**3 - m**2 - 11*m - 7. Let z(h) = -2*h**3 + 6*h + 4. Let l(t) = n*j(t) + 5*z(t). Factor l(c).
-(c + 1)**3
Find m, given that 2/7*m**2 + 0*m + 0 = 0.
0
Let d = -310 + 310. Factor 2/7*n**4 + d + 1/7*n**3 + 0*n + 0*n**2 + 1/7*n**5.
n**3*(n + 1)**2/7
Let 71 + 2*u**2 + 6*u**2 - 5*u**2 - 56 - 18*u = 0. What is u?
1, 5
Suppose 0 - 2/11*r**2 + 2/11*r = 0. Calculate r.
0, 1
Suppose 0 = j - 3*j - 5*i + 93, 5*j + 3*i = 242. Solve -8*b + 4 - 20*b + j*b**2 + 0 = 0.
2/7
Find a such that 27*a**2 - 4*a**4 + 4 - 6*a**3 - 19*a - a**3 - a**3 = 0.
-4, 1/2, 1
Let h(n) be the second derivative of 1/15*n**3 + 0*n**2 - 1/150*n**6 + 1/25*n**5 - 1/12*n**4 + 6*n + 0. Factor h(z).
-z*(z - 2)*(z - 1)**2/5
Suppose 2 - 5 = -f. Determine w, given that -4 + 4 - f*w**2 = 0.
0
Let v(p) = -3*p - 5. Let l be v(-4). Let z = l - 7. Find t such that -1/2*t**2 + z + 0*t = 0.
0
Let n be 15/(-55)*12/(-18). What is w in -2/11*w - 4/11*w**2 + n*w**3 + 4/11 = 0?
-1, 1, 2
Let s(g) be the third derivative of g**5/100 + g**4/20 + g**3/10 - 5*g**2. Find h, given that s(h) = 0.
-1
Let k be (-4 - (-176)/42)*(-2 - -5). Factor 0 - 6/7*c**2 - k*c - 2/7*c**3.
-2*c*(c + 1)*(c + 2)/7
Let h(b) be the first derivative of b**5/100 - b**4/60 - b**3/30 + b**2/10 - 3*b - 2. Let o(f) be the first derivative of h(f). Factor o(q).
(q - 1)**2*(q + 1)/5
Let h be (-4)/(-18) - (-2)/(-9). Suppose 0 = -j - j. Factor -2/5*w**3 + 2/5*w**2 + h*w + j.
-2*w**2*(w - 1)/5
Let y = 4 + -4. Let i(o) be the third derivative of 0*o + 1/60*o**5 + 1/120*o**6 + 0 + y*o**3 - 1/210*o**7 + o**2 - 1/336*o**8 + 0*o**4. Factor i(q).
-q**2*(q - 1)*(q + 1)**2
Let i be 0/(1*-3)*(-1 + 0). Let l(j) be the second derivative of 0*j**3 + i + 1/12*j**4 - 3*j - 1/40*j**5 + 0*j**2. Find s such that l(s) = 0.
0, 2
Let b be ((-2)/8)/((-16)/64)*3. Factor 0*n**b + 6/11*n**2 + 0 + 4/11*n - 2/11*n**4.
-2*n*(n - 2)*(n + 1)**2/11
Let u(t) = -t**3 + 6*t**2 - 13*t + 20. Let k be u(4). Suppose 0*w + k*w**2 + 1/5*w**3 + 0 = 0. What is w?
0
Let v = 6889/42 - 164. Let u(q) be the second derivative of -v*q**4 + 0*q**2 + 0*q**3 - 2*q + 0. Let u(t) = 0. Calculate t.
0
Let h(b) be the second derivative of 5*b**7/42 + b**6/6 - b**5/2 + 13*b. Determine o, given that h(o) = 0.
-2, 0, 1
Let j(z) be the third derivative of -z**5/60 + 2*z**3/3 + 27*z**2. Find a, given that j(a) = 0.
-2, 2
Suppose -4 = -2*m + m. Suppose m = -0*q + q. Solve -2/3*k**2 + 0*k + 2/3*k**q + 0 + 2/3*k**5 - 2/3*k**3 = 0 for k.
-1, 0, 1
Find k, given that 11*k + 3*k**2 - 3*k**2 - 14*k - 4 + k**2 = 0.
-1, 4
Suppose -3*b + 4*b = 3. Determine r so that -2*r**4 - 6*r**3 + b + 6*r - 2*r**4 + r**4 = 0.
-1, 1
Let y(j) = -9*j**2 + 17*j - 13. Let u(i) = 14*i**2 - 26*i + 20. Let a(r) = -5*u(r) - 8*y(r). Solve a(k) = 0 for k.
1, 2
Let r(d) = -8*d**4 - 20*d**3 - 22*d**2 - 26*d - 6. Let p(t) = -7*t**4 - 19*t**3 - 23*t**2 - 25*t - 6. Let x(v) = 5*p(v) - 4*r(v). Solve x(a) = 0.
-2, -1
Let o be 15/5*12/9. Solve 3*c**4 - c**o - c**4 - 3*c**4 = 0.
0
Factor -1/4*d**4 + 1/4*d + 3/4*d**3 + 0 - 3/4*d**2.
-d*(d - 1)**3/4
Let l = -36 - -94. Let 2*r**3 - r**3 - 58*r**2 - r**5 + l*r**2 = 0. What is r?
-1, 0, 1
Let t be (4/10)/(3/30). Suppose -t*k + 2*f + 13 = 3*f, 5*k = -2*f + 17. Factor -k*l**4 + 6*l**3 + l**2 - 4*l**3 + 0*l**4.
-l**2*(l - 1)*(3*l + 1)
Let 4/7*z - 4/7*z**3 - 20/7 + 20/7*z**2 = 0. What is z?
-1, 1, 5
Let k = 6 + -4. Factor -4*l**4 + 0*l**4 - 3*l**k + 3*l**4 - 3*l**3 - l.
-l*(l + 1)**3
Suppose -6 = -2*d - d. Let j(y) be the second derivative of 1/126*y**7 + 0*y**6 + 0*y**3 + 0*y**d - 1/60*y**5 - 2*y + 0*y**4 + 0. Suppose j(x) = 0. Calculate x.
-1, 0, 1
Let x = 2/19 + -23/399. Let l(s) be the first derivative of 4/21*s**3 - 4/35*s**5 + 0*s - 1/14*s**4 + 2 + 0*s**2 + x*s**6. Suppose l(v) = 0. What is v?
-1, 0, 1, 2
Let p(v) be the second derivative of -v**5/30 + v**4/6 - v**3/3 + v**2/3 - 4*v + 4. Factor p(s).
-2*(s - 1)**3/3
Let g(p) be the third derivative of p**5/30 + p**4/6 - p**3 - p**2. Solve g(j) = 0 for j.
-3, 1
Let c(d) be the first derivative of -d**3/12 + d/4 + 2. Factor c(o).
-(o - 1)*(o + 1)/4
Let o be (-4)/2 - 1*-2. Let w = 46/3 - 15. Suppose -1/3*c**2 + w*c + o = 0. What is c?
