44/5*i**3 - 56/5*i**2 - t*i**4 + 2/5*i**5 - 8/5 + 34/5*i.
2*(i - 4)*(i - 1)**4/5
Factor -3*m**2 + 44 + 6*m**2 - 57*m + 46 + 167 - 113.
3*(m - 16)*(m - 3)
Let i(x) be the first derivative of -x**6/48 - x**5/8 - 7*x**4/32 - x**3/8 + 236. Determine q so that i(q) = 0.
-3, -1, 0
Factor 15762*g**4 + 3*g**5 - 129*g**3 - 7838*g**4 - 7798*g**4.
3*g**3*(g - 1)*(g + 43)
Suppose 0 + 2*j**4 + 20*j**5 + 18*j**5 - 2*j**3 - 2 - 7*j - 8*j**2 - 37*j**5 = 0. Calculate j.
-1, 2
Let v = -79 + 100. Factor -14*q**2 - 249*q**3 + 2*q**2 + 261*q**3 + v*q**4 + 6*q**5.
3*q**2*(q + 2)**2*(2*q - 1)
Let g(a) be the second derivative of -1/15*a**6 - 12*a**2 + 4 - 6*a - 28/3*a**3 - 4/5*a**5 - 23/6*a**4. Factor g(m).
-2*(m + 1)*(m + 2)**2*(m + 3)
Factor 0*v**2 + 0 - 2/7*v**3 + 8/7*v.
-2*v*(v - 2)*(v + 2)/7
Let k = 21/460 - 2/69. Let v(b) be the second derivative of 0 - 1/180*b**6 - 1/72*b**4 + 0*b**3 - 4*b + k*b**5 + 0*b**2. Find d, given that v(d) = 0.
0, 1
Factor -9*b**2 + 12 - 9*b**4 + 12*b - 13*b**4 - 12*b**3 + 19*b**4.
-3*(b - 1)*(b + 1)*(b + 2)**2
Let i(x) be the third derivative of 0*x**3 + 1/70*x**6 - 1/105*x**5 + 0*x - 1/14*x**4 - 24*x**2 + 0 + 2/735*x**7. Suppose i(p) = 0. What is p?
-3, -1, 0, 1
Let l = 39/410 - -6131/4510. Suppose -l*f**2 + 0 + 15/11*f**3 + 2/11*f**4 - 5/11*f**5 + 4/11*f = 0. What is f?
-2, 0, 2/5, 1
Let j be (6/(-16)*-4)/(15/(-200)). Let l be (25/j - -1) + 39/12. Let -3/2 + 0*c + 3*c**2 - 3/2*c**4 + 0*c**l = 0. Calculate c.
-1, 1
Let w(f) be the second derivative of -f**10/30240 + f**9/3780 - f**8/1344 + f**7/1260 - f**4 - 20*f. Let i(a) be the third derivative of w(a). Factor i(g).
-g**2*(g - 2)*(g - 1)**2
Let q(j) be the second derivative of -j**4/4 - j**3 + 9*j**2/2 + 71*j. Determine y, given that q(y) = 0.
-3, 1
Let r(b) be the third derivative of b**5/300 - 11*b**4/120 + 4*b**3/5 - b**2 + 81. Factor r(c).
(c - 8)*(c - 3)/5
Suppose -12*q**2 - 54*q - 13*q + 64 + 12*q - 33*q = 0. What is q?
-8, 2/3
Let y(p) be the third derivative of -p**5/60 + p**4/4 - 5*p**3/6 - 50*p**2. Solve y(f) = 0 for f.
1, 5
Let n be -5 + (-20*(-6)/24 - -2). Factor 0 + 4/23*w - 2/23*w**n.
-2*w*(w - 2)/23
Factor -3/2*l**2 - 15/2*l - 9.
-3*(l + 2)*(l + 3)/2
Let s(d) = d**2 - 6*d + 8. Let k be s(5). Let o(t) be the second derivative of -6*t + 1/17*t**k + 1/170*t**5 + 0 + 1/17*t**2 + 1/34*t**4. Factor o(a).
2*(a + 1)**3/17
Let i be 3 + (-1 - 0/(-2)). Suppose -53 = -15*p + 217. Determine w so that -p*w**3 + 4*w**i - 4*w**3 + 4*w**3 + 0*w**3 = 0.
0, 2/9
Let l(d) = 3*d**2 + 6*d - 4. Let p(m) be the second derivative of -m**4/6 - 2*m**3/3 + 3*m**2/2 + 14*m. Let a(x) = 5*l(x) + 7*p(x). Factor a(o).
(o + 1)**2
Suppose 24 + 6 = -f. Let b = f + 32. Let -3 - c**2 + 1 + 0*c**2 + 2*c - b*c**3 + 3*c**2 = 0. Calculate c.
-1, 1
Let p be (4/5)/(5/(-25)) - -4. Suppose 0 = -4*o - 4*q + 4, -3*o + 3*q - 3 = -p*q. Factor o*k + 0 - 2/9*k**3 + 2/9*k**2.
-2*k**2*(k - 1)/9
Let v(y) be the third derivative of -179*y**5/60 - y**4/12 - 78*y**2. Factor v(l).
-l*(179*l + 2)
Solve -5 - 111 - 76 + 381*y - 186*y**2 - 3*y**3 = 0.
-64, 1
Let j(l) = 86*l - 1632. Let y be j(19). Factor 0 - 1/5*r**y + 1/10*r**4 - 1/10*r**3 + 0*r.
r**2*(r - 2)*(r + 1)/10
Let k(m) = -m**3 - m**2 - m. Let x(h) = 2*h**3 - 13*h**2 - 18*h. Let j(l) = 3*k(l) - x(l). Factor j(n).
-5*n*(n - 3)*(n + 1)
Let f(o) be the first derivative of 11 + 14*o**3 + 45/4*o**4 - 24*o - 27/5*o**5 - 18*o**2. Let f(g) = 0. What is g?
-2/3, 1, 2
Let j(x) be the first derivative of -x**8/42 + 4*x**7/35 - 3*x**6/20 + x**5/15 + x**2/2 + 7. Let c(b) be the second derivative of j(b). Solve c(o) = 0.
0, 1/2, 2
Let n(s) be the second derivative of 5/21*s**3 + 0 + 1/14*s**4 - 2*s + 2/7*s**2. Factor n(c).
2*(c + 1)*(3*c + 2)/7
Let v(r) be the third derivative of -r**6/200 + 3*r**5/100 - r**4/20 + 169*r**2. Find i such that v(i) = 0.
0, 1, 2
Let z(n) be the first derivative of n**4/22 - 12*n**3/11 + 60*n**2/11 - 112*n/11 + 112. Factor z(d).
2*(d - 14)*(d - 2)**2/11
Determine w, given that -179*w + 377*w + 2*w**3 + 3*w**2 - 182*w - 15*w**2 = 0.
0, 2, 4
Let l be 96/630 - (-4)/30. Let c be (-2)/1*10/(-20)*0. Factor l - 2/7*p**2 + c*p.
-2*(p - 1)*(p + 1)/7
Let i(g) be the third derivative of 1/525*g**7 + 0*g - 10*g**2 + 0 + 1/10*g**4 + 7/15*g**3 - 4/75*g**5 - 1/50*g**6. Factor i(o).
2*(o - 7)*(o - 1)*(o + 1)**2/5
Find f, given that -9/2*f**3 + 3/2*f**4 + 0 + 0*f - 15*f**2 = 0.
-2, 0, 5
Let y(n) be the second derivative of -15*n + 0*n**2 + 0 - 1/7*n**3 + 3/70*n**5 - 4/21*n**4. Factor y(s).
2*s*(s - 3)*(3*s + 1)/7
Let q(p) = 19*p - 102. Let m be q(6). Suppose m = 5*x + x. Factor -2/3*i - 2/3*i**x + 0.
-2*i*(i + 1)/3
Find y, given that -18*y + 40/3*y**4 + 2*y**5 - 20/3*y**2 - 20/3 + 16*y**3 = 0.
-5, -1, -2/3, 1
Let w = 1300 + -1296. Let s(k) be the first derivative of 1/2*k**2 + 2/5*k - 4/15*k**3 - 3/20*k**w + 6. Solve s(d) = 0.
-2, -1/3, 1
Let m(q) be the first derivative of 3*q**4/14 + 15*q**3 + 2106*q**2/7 + 2028*q/7 - 349. What is w in m(w) = 0?
-26, -1/2
Let j be (22 - 22)/((-12)/4). Let b(z) be the second derivative of -9*z + 0*z**2 + j + 1/6*z**4 + 2/3*z**3. Suppose b(n) = 0. What is n?
-2, 0
Let t(g) be the third derivative of -3*g**6/320 - 7*g**5/160 - g**4/32 + 69*g**2. Determine b so that t(b) = 0.
-2, -1/3, 0
Let v(d) be the first derivative of 0*d**2 - 3/20*d**4 - 2 + 3/25*d**5 + 0*d + 1/10*d**6 - 1/5*d**3. Factor v(g).
3*g**2*(g - 1)*(g + 1)**2/5
Let r(k) be the first derivative of 66*k**2 - 7/2*k**6 - 24*k - 19 + 48/5*k**5 - 62*k**3 + 51/4*k**4. Suppose r(n) = 0. What is n?
-2, 2/7, 1, 2
Suppose 5 = v + 1. Let k(f) = 12 - 5 + 59*f**4 - 4*f**2 + f**3 - 56*f**4 + 7*f. Let d(j) = -2*j**4 + 2*j**2 - 4*j - 4. Let a(i) = v*k(i) + 7*d(i). Factor a(q).
-2*q**2*(q - 1)**2
Let w(p) be the second derivative of -p**7/14 + 14*p**6/5 + 93*p**5/20 - 29*p**4/2 + 3*p + 42. Solve w(s) = 0 for s.
-2, 0, 1, 29
Let i(v) be the third derivative of v**5/120 + 37*v**4/48 - 19*v**3/6 + 201*v**2. Suppose i(z) = 0. Calculate z.
-38, 1
Let i(s) be the second derivative of s**5/10 - s**4 + 3*s**3 - 4*s**2 - 448*s. Solve i(y) = 0.
1, 4
Let s(r) = r**4 - r**3 - r**2 + r + 1. Let a(w) = -9*w**4 + 24*w**3 + 27*w**2 - 6*w - 12. Let z(n) = a(n) + 12*s(n). Factor z(c).
3*c*(c + 1)**2*(c + 2)
Let y(i) be the first derivative of 3/10*i**2 + 7 - 1/5*i**3 - 1/5*i + 1/20*i**4. Suppose y(m) = 0. What is m?
1
Find n such that -4/3*n**3 + 0*n**2 + 28/3*n + 8 = 0.
-2, -1, 3
Let t = -1004 + 1004. Suppose t + 3/2*x**2 + 1/2*x**3 + 0*x = 0. What is x?
-3, 0
Let p(c) be the first derivative of 0*c + 12 + 21/4*c**4 + 9*c**3 + 3*c**2. Factor p(x).
3*x*(x + 1)*(7*x + 2)
Let n = 645 - 1289/2. Solve 0 + n*i - 3/4*i**2 + 1/4*i**3 = 0 for i.
0, 1, 2
Let u(l) = 5*l**2 - 11*l + 8. Let a be u(4). Suppose -2*f + 48 - a = 0. What is t in 1/2*t - 1/4*t**f - 1/4 = 0?
1
Let l be -3 + (-234)/42 + 2. Let k = -269/42 - l. Solve 4/3*y + k*y**2 + 8/3 = 0.
-4
Factor -266*g**2 - 12*g**3 + 0*g**4 - 6*g - g**4 + 2*g**4 + 251*g**2 - 4*g**4.
-3*g*(g + 1)**2*(g + 2)
Suppose 0 = -q + 18 - 21. Let y be 8/2 - (q + 1). Factor 2*c**4 - 4*c**4 - y*c**2 + 2*c**4 + 3*c**4 + 3.
3*(c - 1)**2*(c + 1)**2
Let i(w) be the third derivative of -3/80*w**5 + 0*w + 0*w**3 + 0 + 1/32*w**4 + w**2. Suppose i(u) = 0. What is u?
0, 1/3
Suppose 3*o - 12 = -o. Let w = o + -1. Let -r - 17*r**5 + w*r**4 - r**2 + 18*r**5 - r**2 = 0. What is r?
-1, 0, 1
Solve -7*o**3 - 21 - 22*o**3 - o**3 + 30*o - 4 + 5*o**4 + 20*o**2 = 0 for o.
-1, 1, 5
Let b be (1288/30)/7 + -9 + 3. Let b*g + 4/15*g**2 - 2/15*g**3 - 4/15 = 0. What is g?
-1, 1, 2
Let 9245/3 + 430/3*o + 5/3*o**2 = 0. What is o?
-43
Let x(y) be the second derivative of 0*y**3 + 2*y - 3/20*y**5 + 23 - 1/2*y**4 + 0*y**2. Factor x(h).
-3*h**2*(h + 2)
Let h = 16 - 13. Suppose -h*c - 2 + 1 = 5*f, 3*f - 9 = -5*c. Factor -15/2*t**3 + 0 + 0*t - 9/2*t**4 - c*t**2.
-3*t**2*(t + 1)*(3*t + 2)/2
Let c(a) = -4*a**2 + 96*a - 176. Let h be c(22). Factor 2/11*p - 4/11*p**2 + 4/11*p**4 + h + 0*p**3 - 2/11*p**5.
-2*p*(p - 1)**3*(p + 1)/11
Suppose 64*t = 51 - 51. Let b(s) be the third derivative of t*s**5 + 0*s**4 + 1/120*s**6 + 0 - 11*s**2 + 0*s + 0*s**3. Factor b(a).
a**3
Let n(j) be the second derivative of j**6/15 + j**5/2 + 5*j**4/6 - 5*j**3/3 - 6*j**2 - 3*j + 5. Suppose n(c) = 0. What is c?
-3, -2, -1, 1
Let m(f) be the 