= 0. Calculate a.
2/7, 5
Let l(u) be the first derivative of 13 - 1/4*u**3 + 13/8*u**2 - u. Factor l(o).
-(o - 4)*(3*o - 1)/4
Let g(k) be the third derivative of 0*k - 1/300*k**5 - 1/10*k**3 + 5*k**2 + 0 - 1/30*k**4. Factor g(l).
-(l + 1)*(l + 3)/5
Let b be -1*((-9)/45 + 21/5). Let w be (0 + 4/15)*(-10)/b. Suppose 0 - w*t**2 + 2/3*t = 0. What is t?
0, 1
Suppose -12 = -4*y + 6*v - 2*v, 3*y - 9 = 2*v. Factor y*f**3 + f**3 - 12*f**3 + 3*f**3 + 35*f**2 + 40*f.
-5*f*(f - 8)*(f + 1)
Let t(o) be the second derivative of o**6/30 + 4*o**5/15 + 7*o**4/8 + 3*o**3/2 - 3*o**2 + o. Let h(g) be the first derivative of t(g). Solve h(b) = 0 for b.
-3/2, -1
Let i(u) be the second derivative of u**6/70 + 3*u**5/70 - u**3/7 - 3*u**2/14 + 6*u + 3. Find r, given that i(r) = 0.
-1, 1
Find a such that 0 + 2/9*a**4 - 32/9*a**3 + 10/3*a**2 + 0*a = 0.
0, 1, 15
Let b = -9/61 + 228/305. Let c(j) = j**2 + 9*j. Let i be c(-9). Factor -3/5*x - b*x**3 + i + 6/5*x**2.
-3*x*(x - 1)**2/5
Let l(w) be the first derivative of -w**5/140 - w**4/28 - w**3/14 + w**2/2 + 3. Let d(j) be the second derivative of l(j). Factor d(x).
-3*(x + 1)**2/7
Factor -2*l**2 + 2/3*l**4 + 4/3 - 2/3*l**3 + 2/3*l.
2*(l - 2)*(l - 1)*(l + 1)**2/3
Let r(t) = -t**2 - 287*t + 580. Let n be r(2). Let -7/3*a**2 + 19/3*a + n = 0. Calculate a.
-2/7, 3
Let d(o) be the third derivative of -11/120*o**6 - 25/24*o**4 + 1/210*o**7 - 27*o**2 + 0 + 7/12*o**5 + 0*o + 0*o**3. Suppose d(m) = 0. What is m?
0, 1, 5
Let a(g) be the second derivative of 3*g**5/40 - 5*g**4/8 - 2*g**3 + 9*g**2 - 2*g - 479. Factor a(y).
3*(y - 6)*(y - 1)*(y + 2)/2
Let 57/2*q + 27 + 3/2*q**2 = 0. What is q?
-18, -1
Let b(y) be the second derivative of -y**7/1680 - y**6/720 + y**5/120 - y**3/3 + 8*y. Let o(j) be the second derivative of b(j). Factor o(i).
-i*(i - 1)*(i + 2)/2
What is v in -136*v**2 + 273*v**2 - 1046 - 139*v**2 - 33*v - 5452 + 261*v = 0?
57
Let y(z) be the first derivative of -z**4 + 124*z**3/3 - 448*z**2 - 1024*z - 20. Let y(h) = 0. What is h?
-1, 16
Let t be (-259)/(-185) + (-1)/1. Let c(l) be the second derivative of 9*l - 1/15*l**3 + 1/30*l**4 - t*l**2 + 0. Factor c(v).
2*(v - 2)*(v + 1)/5
Let p(c) be the second derivative of c**5/10 + 7*c**4/6 + 14*c**3/3 + 8*c**2 + 211*c. Find i, given that p(i) = 0.
-4, -2, -1
Let h(s) be the third derivative of 0*s**4 + 4/525*s**7 + 0 + 0*s**3 + 1/60*s**6 + 14*s**2 + 0*s + 1/75*s**5 + 1/840*s**8. Factor h(p).
2*p**2*(p + 1)**2*(p + 2)/5
Let r(k) be the second derivative of -k**7/14 + 4*k**6/5 - 27*k**5/10 + 27*k**3/2 - k - 64. Factor r(u).
-3*u*(u - 3)**3*(u + 1)
Let o(m) be the third derivative of m**8/672 - m**7/420 - m**6/40 + 143*m**2 + m. Let o(j) = 0. Calculate j.
-2, 0, 3
Let r(f) be the third derivative of -11/240*f**5 + 3/160*f**6 + 1/6*f**3 - 1/6*f**4 + 0*f - 4*f**2 + 0. Factor r(h).
(h - 2)*(h + 1)*(9*h - 2)/4
Let l = 10 - -2. Suppose -l = x - 0*x - 3*u, 15 = 3*u. Determine g so that 0 + 0*g**2 + 2/3*g**4 + 0*g + 4/3*g**x - 2/3*g**5 = 0.
-1, 0, 2
Let f(a) be the first derivative of a**6/6 - a**5 + 7*a**4/4 + a**3/3 - 4*a**2 + 4*a + 284. Suppose f(p) = 0. What is p?
-1, 1, 2
Let k(i) = -2*i**2 - i**2 + 2*i**2 + 1 + 2*i**2 - 2*i. Let j be k(2). Factor 2*z - 3 - 7*z + z**3 + j + 2*z.
(z - 2)*(z + 1)**2
Let s = -1111/200 + 167/25. Let p = 2/157 + 455/1256. Find r, given that -p*r**5 - s*r**3 + 0*r + 3/8*r**2 + 0 + 9/8*r**4 = 0.
0, 1
Let b be -15 + 0 + -2 + 3. Let i be (-28)/(-8)*(-16)/b. Factor 2*o**3 - 4*o**5 + 4*o - 2*o**3 - 8*o**i + 8*o**2.
-4*o*(o - 1)*(o + 1)**3
Let c(m) = -m**2 + m + 2. Let g(x) = -x**2 + x + 5. Let z(y) = 3*c(y) - g(y). Let o(p) = -p**2 + p + 1. Let l = 5 - 7. Let s(q) = l*z(q) + 6*o(q). Factor s(h).
-2*(h - 2)*(h + 1)
Solve -1/6*l**4 - 864 - 73/3*l**3 - 5473/6*l**2 - 1752*l = 0 for l.
-72, -1
Let f be (7245/(-18))/35 - -15. Determine y, given that 1/2*y**3 - f*y**2 + 15/2*y - 9/2 = 0.
1, 3
Let k be 14 + -4 - 3 - 110/20. Suppose -k*p - 5/4 - 1/4*p**2 = 0. What is p?
-5, -1
Let z(u) be the second derivative of -u**5/15 + 2*u**3/3 - 7*u**2 + 15*u. Let m(v) be the first derivative of z(v). Factor m(k).
-4*(k - 1)*(k + 1)
Let t = -6523/9 - -725. Let 2/9*w**2 - 2/9 - t*w**3 + 2/9*w = 0. What is w?
-1, 1
Let s be ((-10)/3)/((-1)/3). Let v(h) = -h**2 + 11*h - 5. Let u be v(s). Factor -6*w**u - 5*w**5 + 11*w**5 - 2*w**5 + 6*w**3 + 4*w**2.
-2*w**2*(w - 2)*(w + 1)**2
Let o be (-4 - -4 - 1)*0. Factor -5*f**2 + 14*f + 1 + 2*f**3 + f**2 - 16*f + 3*f**4 + o*f**2.
(f - 1)*(f + 1)**2*(3*f - 1)
Let d(b) be the third derivative of b**6/40 - b**5/5 - 11*b**4/8 - 3*b**3 - 152*b**2. Factor d(f).
3*(f - 6)*(f + 1)**2
Let m(s) = -s**2 + 5*s - 6. Let y(p) = -3*p**2 + 10*p - 15. Let a(n) = 5*m(n) - 2*y(n). Determine v so that a(v) = 0.
-5, 0
Let z be 6/(-16) - (1 + (-123)/72). Solve 1/3*j**3 - 2/3*j + z*j**2 + 0 = 0.
-2, 0, 1
Let n(y) be the first derivative of y**3/33 - y**2/11 + 62. Find h, given that n(h) = 0.
0, 2
Suppose -21 + 25*k + 10*k**4 - 1 - 25*k**3 + 12 = 0. Calculate k.
-1, 1/2, 1, 2
Factor -232/5*n**2 - 3*n**4 - 1/5*n**5 - 86/5*n**3 - 288/5*n - 128/5.
-(n + 1)*(n + 2)*(n + 4)**3/5
Let i be ((-2)/9)/((-84)/756). Let o(f) be the second derivative of -1/70*f**5 + 0 + 0*f**i - 5*f - 1/21*f**4 - 1/21*f**3. Solve o(v) = 0 for v.
-1, 0
Let i(f) be the third derivative of -1/105*f**7 + 1/6*f**4 + 1/30*f**5 + 0*f - 1/30*f**6 + 33*f**2 + 0*f**3 + 0. Suppose i(n) = 0. What is n?
-2, -1, 0, 1
Suppose -6*x + x = -100. Suppose 12*u = 8*u + 608. Factor -545*a**3 - 28*a**2 - 630*a**4 - x*a - u*a**2 + 0*a**2 - 245*a**5.
-5*a*(a + 1)**2*(7*a + 2)**2
Let k = 79/3390 - 3/452. Let p(h) be the third derivative of -h**2 + 8/525*h**7 + 0*h**4 + k*h**6 + 1/210*h**8 + 0 + 1/150*h**5 + 0*h**3 + 0*h. Factor p(w).
2*w**2*(w + 1)*(2*w + 1)**2/5
Let k(p) be the second derivative of p**6/300 - p**4/20 - 19*p**3/3 - 15*p. Let c(a) be the second derivative of k(a). Factor c(j).
6*(j - 1)*(j + 1)/5
Suppose -6*c = -7*c + 5, -4*c + 20 = -2*g. Find x such that g - 6/5*x**3 - 3/5*x**2 + 0*x - 3/5*x**4 = 0.
-1, 0
Let a = -13145 + 13149. Factor 0*s - 1/7*s**5 + 0 + 1/7*s**3 - 1/7*s**2 + 1/7*s**a.
-s**2*(s - 1)**2*(s + 1)/7
Let q be (2/2)/(((-14)/20)/(196/(-56))). Let 5 - 5/2*i - 25/2*i**2 - q*i**3 = 0. What is i?
-2, -1, 1/2
Let a(j) = j**3 - 4*j**2 + j. Let r be a(4). Suppose -5*u + 16 = -t, -r*u + 0 + 12 = -t. Solve -n - n + 2*n + u*n**2 = 0.
0
Let r(t) = 8*t**4 - 120*t**3 + 173*t**2 + 14*t. Let w(u) = 3*u**4 - 40*u**3 + 58*u**2 + 4*u. Let v(j) = 2*r(j) - 7*w(j). Factor v(x).
-5*x**2*(x - 6)*(x - 2)
Let r(d) be the first derivative of -3*d**4/4 + 8*d**3 - 63*d**2/2 + 54*d - 59. Factor r(o).
-3*(o - 3)**2*(o - 2)
Let c(v) be the first derivative of 2*v**3/21 + 4*v**2/7 - 90*v/7 + 559. Factor c(b).
2*(b - 5)*(b + 9)/7
Let m(j) be the third derivative of j**6/240 + j**5/20 + 3*j**4/16 + j**3/3 - 42*j**2. Factor m(o).
(o + 1)**2*(o + 4)/2
Let k be (14/21)/((-1)/(-6)). Determine a, given that -3*a**2 - 4*a**3 + 8*a**2 - a**2 + 4*a - k = 0.
-1, 1
Let x be -6 + (24/(-276) - 2006/(-322)). What is a in 3/7*a - 2/7 - x*a**2 = 0?
1, 2
Let b(a) be the third derivative of 1/1980*a**6 - 1/6*a**3 + 1/132*a**4 + 0*a + 0 - 1/330*a**5 + 2*a**2. Let o(f) be the first derivative of b(f). Factor o(p).
2*(p - 1)**2/11
Let z(q) be the first derivative of 5*q**7/42 - q**6/6 - 5*q**5/4 - 5*q**4/4 + 12*q - 38. Let y(c) be the first derivative of z(c). Factor y(s).
5*s**2*(s - 3)*(s + 1)**2
Let r(u) = -6*u**4 - 16*u**3 - 9*u**2 - 9*u + 5. Let o be (3/2)/(77/(-20) - -4). Let s(l) = l**2 - l + 1. Let n(q) = o*s(q) - 2*r(q). Factor n(m).
4*m*(m + 1)**2*(3*m + 2)
Let m(f) = -f**3 + 57*f**2 - 221*f. Let x(k) = -8*k**3 + 512*k**2 - 1988*k. Let w(u) = -28*m(u) + 3*x(u). Find o such that w(o) = 0.
0, 7, 8
Let t be ((-1)/2)/(7/(-70)). Let h = -1 + 3. Factor -t*r + 3*r**2 + 2 + r**h - r**2.
(r - 1)*(3*r - 2)
Suppose 0 = 16*q - 14*q. Suppose -5*o - 5*m = -45, 5*o - 48 = -2*m - 15. Solve 3/2*s**4 + 0*s + 3/2*s**o + 0*s**2 + 0 + q*s**3 = 0 for s.
-1, 0
Let h = -3032/45 - -338/5. Factor h*p**3 + 2/9*p + 0 - 4/9*p**2.
2*p*(p - 1)**2/9
Solve -79/5 + 1/5*z**2 - 78/5*z = 0 for z.
-1, 79
Let b(q) be the second derivative of q**7/70 + 3*q**6/50 + 3*q**5/50 - q**4/10 - 3*q**3/10 - 3*q**2/10 - 77*q. Suppose b(f) = 0. What is f?
-1, 1
Let y be 3/7*(-27 - -