= u + 60. Factor c + 13*s + 3*s - s**2 + 3*s**2.
2*(s + 4)**2
Suppose 3*l = 2*f + f - 9, 5*f - 15 = -5*l. Let b be 30/5 + 1*36/(-8). Factor l - b*v**2 - 3/2*v.
-3*v*(v + 1)/2
Suppose 33/2*o**4 + 0*o + 27/2*o**3 - 3*o**2 + 0 = 0. What is o?
-1, 0, 2/11
Let t(l) be the third derivative of 0*l**4 + 1/15*l**5 + 0*l**3 - 2*l**2 + 1/210*l**7 + 1/30*l**6 + 0*l + 0. Find f, given that t(f) = 0.
-2, 0
Let i(z) be the second derivative of -z**4/102 + 38*z**3/51 - 361*z**2/17 - 10*z + 3. Factor i(c).
-2*(c - 19)**2/17
Let v(n) be the third derivative of -n**7/945 + n**6/135 - 2*n**5/135 - 2*n**2 + 123*n. Factor v(d).
-2*d**2*(d - 2)**2/9
Let g(w) be the second derivative of 2*w**4/15 - 11*w**3/15 - 3*w**2/5 - 316*w. Factor g(c).
2*(c - 3)*(4*c + 1)/5
Suppose -5*j + k + 18 = -47, -3*j + 5*k + 61 = 0. Suppose 0 = 4*c + 4 - j. Factor 1 + 0 + 93*p - 95*p + p**c.
(p - 1)**2
Suppose -222 = -c + 113. Let -y**2 + 335*y + 4 - c*y = 0. Calculate y.
-2, 2
Let f(m) be the first derivative of m**3/15 - 2*m**2 + 20*m - 17. Determine x so that f(x) = 0.
10
Suppose 2565 = 12*z + 2541. Factor 2/9*o**4 - 2/9*o**z + 2/9*o**3 + 0 - 2/9*o**5 + 0*o.
-2*o**2*(o - 1)**2*(o + 1)/9
Determine z, given that 0 - 5/6*z**2 - 43/6*z**4 + 7/3*z - 5/6*z**5 - 19/2*z**3 = 0.
-7, -1, 0, 2/5
Let t(g) be the third derivative of 0 - 1/360*g**5 - 21*g**2 + 7/72*g**4 + 0*g - 49/36*g**3. Suppose t(x) = 0. What is x?
7
Let u(x) be the third derivative of 0 - 5/84*x**4 + 0*x + 2/7*x**3 - 7*x**2 - 1/210*x**5. Solve u(q) = 0 for q.
-6, 1
Let c(s) be the second derivative of 0*s**3 + 3*s + 1/80*s**5 - 1/24*s**4 + 0*s**2 + 0. Factor c(f).
f**2*(f - 2)/4
Let x(a) be the third derivative of -1/120*a**5 + 30*a**2 + 1/4*a**3 + 0*a + 0 - 1/24*a**4. Suppose x(y) = 0. What is y?
-3, 1
Let o = -59 - -68. Factor -o*m - 17*m**2 - 1 + 11*m**2 + 1 + 3*m**3.
3*m*(m - 3)*(m + 1)
Let d = 3224/35 - 452/5. Let l(s) be the first derivative of -4 - 3/7*s**3 - 12/7*s - d*s**2. Factor l(c).
-3*(c + 2)*(3*c + 2)/7
Let t = 184 - 121. Let z be (6/(-45))/((-7)/t). Find c, given that 0*c**3 - 12/5*c**2 + 16/5*c - z + 2/5*c**4 = 0.
-3, 1
Suppose -4*a = 4*w - 144, -5*w = 4*a - 134 - 10. Let c be -2*2 + a/9. Factor 4/3*h**3 + 0 + c*h - 8/3*h**2.
4*h**2*(h - 2)/3
Let j(q) be the first derivative of 2/7*q**2 + 2/21*q**3 - 6/7*q - 3. Let j(t) = 0. What is t?
-3, 1
Let x(o) = -o**3 - 11*o**2 - 10*o + 13. Let t be 41/(-4) + (-5)/(-20). Let a be x(t). Find q, given that -a*q**3 + 8*q**3 + 12 - 39*q**2 - 10*q**3 - 12*q = 0.
-2, -1, 2/5
Let z(s) be the first derivative of -2*s**3/57 + 12*s**2/19 - 70*s/19 - 89. Factor z(g).
-2*(g - 7)*(g - 5)/19
Let b(a) = a**4 + 16*a**3 + 35*a**2 + 16*a - 80. Let d(j) = -3*j**4 - 47*j**3 - 107*j**2 - 50*j + 240. Let w(h) = 11*b(h) + 4*d(h). Solve w(v) = 0.
-5, -4, 1
Let b be (5748/33530)/(0 + 6/28). Let f = 1719/5 + -341. Factor -14/5*c**3 - 4/5 + b*c**2 + f*c.
-2*(c - 1)*(c + 1)*(7*c - 2)/5
Let c(b) be the third derivative of -b**8/28 - 2*b**7/105 + b**6/15 + 562*b**2. Factor c(j).
-4*j**3*(j + 1)*(3*j - 2)
Let m(t) be the first derivative of -t**4/30 + 4*t**3/5 - 36*t**2/5 - 4*t - 24. Let r(j) be the first derivative of m(j). Factor r(u).
-2*(u - 6)**2/5
Let k be (-4)/(-10)*15/3. Let d be (-910)/(-84) + -10 - (-2)/(-12)*5. Factor 1/2*z**3 - z**k + 1/2*z + d.
z*(z - 1)**2/2
Solve d**2 - 5*d + 5 - 2*d**2 - 2*d**2 - 2*d**2 + 5 = 0 for d.
-2, 1
Let v(k) = 2*k**3 - 18*k**2 + 4*k - 20. Let b be v(9). Factor -7*a**5 - 4*a**3 + 11*a + 14*a**2 - 3*a**4 - b*a**4 + 2*a**4 + a**4 + 2.
-(a - 1)*(a + 1)**3*(7*a + 2)
Let a(g) = -9*g**3 + 37*g**2 + 48*g + 45. Let l(x) = 59*x**2 - 24*x - 22 + 5*x**3 - x**3 - 77*x**2. Let f(t) = -6*a(t) - 13*l(t). What is s in f(s) = 0?
-2
Suppose -5*n - 299 = 2*i, 4*n = -i + 2*n - 147. Let h = i + 139. Determine z, given that 2/7*z**3 + 1/7*z**5 - 3/7*z**4 + 1/7 + 2/7*z**h - 3/7*z = 0.
-1, 1
Suppose -11*m - 77 = 1177. Let d = -110 - m. Solve -4/3*v**d + 0 - 4/3*v**3 + 0*v**2 + 8/3*v**5 + 0*v = 0.
-1/2, 0, 1
Let b(n) be the third derivative of n**6/40 + 167*n**5/20 + 331*n**4/8 + 165*n**3/2 - 8*n**2 - 15*n. Factor b(w).
3*(w + 1)**2*(w + 165)
Let l(m) be the second derivative of 1/45*m**6 - 1/63*m**7 + 0*m**2 + 0*m**3 + 0 + 0*m**4 + 43*m + 1/15*m**5. Factor l(r).
-2*r**3*(r - 2)*(r + 1)/3
Let f(m) = m**5 + 3*m**3 + 16*m**2 - 39*m + 19. Let r(c) = c**5 - c**4 + 3*c**3 + 17*c**2 - 38*c + 18. Let b(u) = 6*f(u) - 7*r(u). Factor b(k).
-(k - 6)*(k - 1)**3*(k + 2)
Let n(o) = -o. Let s be n(-4). Suppose -s*l + 4*h + 100 = 0, -5*h - 3 - 53 = -2*l. Solve l - 8*j - 23 + 4*j**3 - 4*j**2 = 0 for j.
-1, 0, 2
Let a be -2 - (-117)/(-216)*8/(-2). Let b(c) be the second derivative of -2/21*c**3 + a*c**4 - 3/70*c**5 + 0 - 11*c + 0*c**2. Factor b(g).
-2*g*(g - 2)*(3*g - 1)/7
Factor 0 - 2/11*p**2 + 2/11*p**3 - 12/11*p.
2*p*(p - 3)*(p + 2)/11
Let c be (-2)/(-5) + 396/60. Let a be ((-160)/224)/((-4)/c*1). Factor 0 + a*s**5 - 5/2*s**4 + 0*s**3 + 5/2*s**2 - 5/4*s.
5*s*(s - 1)**3*(s + 1)/4
What is v in 1/5*v**4 + 73/5*v**2 - 18/5*v**3 + 52/5 - 108/5*v = 0?
1, 2, 13
Let w(c) be the first derivative of c**4/18 + 2*c**3/9 - 8*c/9 + 10. Find j such that w(j) = 0.
-2, 1
Let u(r) be the third derivative of -r**7/1470 - r**6/140 - 11*r**5/420 - r**4/28 - 3*r**2 - 34. Solve u(d) = 0.
-3, -2, -1, 0
Let r = 5 - 3. Let w(y) = 2*y**3 + 2*y - 9*y**2 - 1 - 12 + 5*y**r. Let o(q) = q**3 - 2*q**2 + q - 6. Let b(l) = 13*o(l) - 6*w(l). Find n, given that b(n) = 0.
0, 1
Let k(h) = h**2 + h. Let a be k(-2). Let d(s) be the first derivative of 6/5*s**3 + 1/5*s**a + 2 + 8/25*s**5 - 2/5*s + 11/10*s**4. Factor d(p).
2*(p + 1)**3*(4*p - 1)/5
Let j(p) = p - 2 + 0 + 3. Let g(t) = t**3 + 2*t**2 - 8*t - 9. Let l(x) = -2*g(x) - 18*j(x). Suppose l(u) = 0. What is u?
-1, 0
Let a(o) be the first derivative of 0*o - 4/3*o**3 + 4*o**2 - 7. Let a(t) = 0. What is t?
0, 2
Suppose 28*o + 3*o + 160 - 222 = 0. Solve 4/3 + 8/3*a**4 - 17/3*a**o + 17/6*a**3 - 7/6*a**5 - 10/3*a = 0.
-1, 2/7, 2
Let i be (36/98)/(285/399 - 3/6). Suppose 2/7*u**2 - 2 + i*u = 0. Calculate u.
-7, 1
Let n(v) be the third derivative of -1/300*v**6 + 0 + 0*v**3 + 30*v**2 + 1/15*v**4 + 0*v + 1/50*v**5. Factor n(b).
-2*b*(b - 4)*(b + 1)/5
Suppose 0*q**2 + 0 - 5*q**4 - 10/3*q**5 - 5/3*q**3 + 0*q = 0. What is q?
-1, -1/2, 0
Factor 3/4*j**2 - 87/4*j - 93/2.
3*(j - 31)*(j + 2)/4
Let i(k) be the second derivative of 32*k**7/21 + 112*k**6/3 + 1153*k**5/5 - 210*k**4 + 54*k**3 + 344*k. Determine l, given that i(l) = 0.
-9, 0, 1/4
Let l(r) be the second derivative of r**4/18 - 2*r**3/27 - r**2/9 - 68*r. Find a such that l(a) = 0.
-1/3, 1
Suppose -16 = 4*x, -2*x - 3*x + 285 = 5*o. Let p = 123/2 - o. What is z in -3*z**4 - p*z**2 - 5/4*z**5 + 0 + 0*z - 9/4*z**3 = 0?
-1, -2/5, 0
Let j(b) be the third derivative of -b**5/100 - 21*b**4/40 - 2*b**3 + 104*b**2. Suppose j(a) = 0. What is a?
-20, -1
Let n(s) be the first derivative of -s**4/8 + 3*s**3/2 - 5*s**2 + 6*s + 571. Factor n(a).
-(a - 6)*(a - 2)*(a - 1)/2
Suppose 2/3*n**4 - 2/3*n**2 - 2/3*n**3 + 2/3*n + 0 = 0. What is n?
-1, 0, 1
Let f(k) be the second derivative of -k**6/70 - 3*k**5/140 + 3*k**4/28 + k**3/14 - 3*k**2/7 - 66*k. Find j, given that f(j) = 0.
-2, -1, 1
Let 12 + 342/7*l**3 + 705/7*l**2 + 3*l**4 + 468/7*l = 0. What is l?
-14, -1, -2/7
Let v(p) be the second derivative of -1/24*p**4 - 1/40*p**5 - 2*p + 1/4*p**2 + 0 + 1/12*p**3. Let v(n) = 0. Calculate n.
-1, 1
Let a = 64 + -57. Solve a*s**3 + 10*s - 12*s**3 - 10*s + 5*s**4 = 0.
0, 1
Let o(b) = b**2 - 4*b - 100. Let l be o(-8). Let h be 6/l*(-22 + 20). Let 12/11*f**4 + 2*f**h - 16/11 + 2/11*f**5 + 4/11*f**2 - 24/11*f = 0. What is f?
-2, -1, 1
Let s(c) be the third derivative of c**6/40 - 11*c**5/10 - 47*c**4/8 - 12*c**3 + 246*c**2. Suppose s(m) = 0. Calculate m.
-1, 24
Factor 1/2*w**2 + 4225/2 + 65*w.
(w + 65)**2/2
Let g(w) = 8*w**5 + 7*w**4 - 24*w**3 - 9*w**2 + 9. Let k(t) = t**5 - 2*t**3 - t**2 + 1. Let y(v) = -2*g(v) + 18*k(v). Factor y(i).
2*i**3*(i - 6)*(i - 1)
Let s(o) = -2*o**3 - 115*o**2 + 56*o - 114. Let u be s(-58). Factor 0*j + 0 + 2/13*j**4 - 2/13*j**3 + 2/13*j**5 - 2/13*j**u.
2*j**2*(j - 1)*(j + 1)**2/13
Let b(o) be the third derivative of -o**8/4200 - o**7/1050 - o**6/900 - o**3/6 - 18*o**2. Let s(y) be the first derivative of b(y). Let s(m) = 0. Calculate m.
-1, 