+ 0 = 0. Calculate u.
0, 1, 2
Let -2/15*r**2 - 44/15*r + 10 = 0. Calculate r.
-25, 3
Let l = 3052 - 3050. Let r = 37/35 - 6/7. Find d such that 1/5*d**l - r*d + 0 = 0.
0, 1
Let h(f) be the third derivative of f**6/420 + f**5/35 - f**4/84 - 2*f**3/7 - 66*f**2. Factor h(k).
2*(k - 1)*(k + 1)*(k + 6)/7
Let n be (3 - (0 - 1)) + -6. Let d be (1 + -3)*17/(-16) + n. Factor -1/8*x**2 + 0*x + 0 + 5/8*x**4 + d*x**3 + 3/8*x**5.
x**2*(x + 1)**2*(3*x - 1)/8
Let l = -189 + 757/4. Factor l*q**4 - 1 + 5/4*q**3 - 5/4*q + 3/4*q**2.
(q - 1)*(q + 1)**2*(q + 4)/4
Suppose 569*b - 45*b - 55*b = 2345. Find z such that 0*z**4 + 0*z**2 + 0 - 4/15*z**3 + 2/15*z**b + 2/15*z = 0.
-1, 0, 1
Let f = 237 - 222. Suppose -7*g + f = -6. Factor 0*z - 4*z**g + 0 + 28/5*z**4 + 4/5*z**2 - 12/5*z**5.
-4*z**2*(z - 1)**2*(3*z - 1)/5
Suppose 11*x + 3*x + 191 = 233. Factor 1/3*d**x + 0 + 2*d**2 + 3*d.
d*(d + 3)**2/3
Let i(y) be the second derivative of 1/3*y**4 + 0*y**3 - 6*y - 2/21*y**7 + 0*y**2 + 0 - 2/15*y**6 + 1/5*y**5. Factor i(d).
-4*d**2*(d - 1)*(d + 1)**2
Determine k so that 56*k + 10*k**4 - 8*k**3 - 5*k**4 + 2*k**4 - 20*k**2 - 5*k**4 - 22 - 8 = 0.
-3, 1, 5
Suppose -k + 5*k = 0. Suppose 4 = w - k. Let 7*l**3 - 4*l**2 + w*l + 2*l**4 - 10*l**3 + l**5 + 0*l**5 = 0. What is l?
-2, 0, 1
Let n = 40892 + -122672/3. Determine m so that -n*m - 1/6*m**2 + 0 = 0.
-8, 0
Let s(p) be the first derivative of 2/21*p**3 + 4*p - 1 + 0*p**2 - 3/14*p**4 + 2/35*p**5. Let b(n) be the first derivative of s(n). Find z such that b(z) = 0.
0, 1/4, 2
Let b(f) be the first derivative of f**5/4 - 19*f**4/16 - 29*f**3/12 - 5*f**2/8 - 240. Factor b(m).
m*(m - 5)*(m + 1)*(5*m + 1)/4
Let n(m) = m**2 + m. Let j = -17 - -18. Suppose 22*c = 23*c - 5. Let b(o) = 3*o**5 - 6*o**3 - 5*o**2 - 2*o. Let u(q) = c*n(q) + j*b(q). Solve u(v) = 0 for v.
-1, 0, 1
Let q be (8/6)/(2 + 0). Let a = -978/61 + 8924/549. Let 2/9*z**5 + a*z**2 + q*z**3 + 2/3*z**4 + 0 + 0*z = 0. Calculate z.
-1, 0
Let i = 1496/15 + -3857/15. Let f = i - -158. Find p such that 3/5*p**2 - f*p - 6/5 = 0.
-1, 2
Let y(k) be the second derivative of -k**8/30240 - k**7/5670 - k**6/3240 + 11*k**4/12 - 12*k. Let r(c) be the third derivative of y(c). Factor r(w).
-2*w*(w + 1)**2/9
Let h(g) be the first derivative of 0*g + 0*g**2 + 3/4*g**4 - 11 + g**3. Let h(f) = 0. What is f?
-1, 0
Let h(b) be the first derivative of 3/7*b - 1/7*b**3 + 18 + 0*b**2. Solve h(z) = 0.
-1, 1
Suppose 3*g - 4*o = 39, 38 = 4*g + o + 5. Factor 14*c - 12*c**3 + 3*c**4 - 29*c + 15*c**2 + g*c.
3*c*(c - 2)*(c - 1)**2
Let w(o) = -8*o**5 + 67*o**4 - 490*o**3 + 726*o**2 + 5*o - 5. Let m(l) = l**5 + l**4 - l**3 - l + 1. Let c(g) = 5*m(g) + w(g). Solve c(j) = 0 for j.
0, 2, 11
Let -48/13 + 56/13*t + 2/13*t**3 - 20/13*t**2 = 0. What is t?
2, 6
Let h be (3 + (-28)/12)*(-75 + 81). Factor 0 + 0*f - 1/3*f**5 + 5/3*f**3 + f**2 + 1/3*f**h.
-f**2*(f - 3)*(f + 1)**2/3
Let p(t) be the second derivative of t**4/24 + t**3/3 - 45*t**2/4 + 2*t - 14. Factor p(h).
(h - 5)*(h + 9)/2
Let l(r) = r. Let m(k) = 4*k**2 + 68*k + 136. Let i(h) = -8*l(h) - m(h). Determine n so that i(n) = 0.
-17, -2
Let w(m) = -16*m**3 - 971*m**2 - 481*m - 60. Let b(n) = n**2. Let j(k) = -3*b(k) - w(k). Factor j(g).
(g + 60)*(4*g + 1)**2
Let t(j) be the third derivative of j**5/60 - j**4/12 + 33*j**2. Factor t(b).
b*(b - 2)
Let s(o) = o**3 + 5*o**2 + 5*o + 6. Let b be s(-4). Let j be 7/5*(3 + 2). Factor 9 + j + 18*f - 8 + 3*f**b + 19.
3*(f + 3)**2
Let j be -4 - (-21)/6*2. Let f(n) be the first derivative of 2/21*n**j - 7 + 0*n**2 + 0*n. Let f(a) = 0. What is a?
0
Let s(d) = 2*d - 3*d + 2*d - 8. Let a be s(10). Factor -1/2*j**a + 0 + 1/2*j.
-j*(j - 1)/2
Let p(n) be the first derivative of 2*n**3/21 + 74*n**2/7 + 2738*n/7 + 53. Find b, given that p(b) = 0.
-37
Let g(b) be the third derivative of b**8/1092 - 3*b**7/455 + 2*b**6/195 + b**5/65 - 5*b**4/78 + b**3/13 + 285*b**2. Let g(z) = 0. Calculate z.
-1, 1/2, 1, 3
Suppose 119*s + 61 - 185 = 233. Suppose -4/3*f - 8/3*f**2 + 8/3 + 4/3*f**s = 0. Calculate f.
-1, 1, 2
Let o = -33 + 37. Determine v so that -8*v**2 - v**4 - o*v**5 - 8*v**3 + 8*v**2 + 13*v**4 = 0.
0, 1, 2
Let z(h) be the first derivative of 5*h**3/6 + 55*h**2/2 + 100*h - 116. Find i, given that z(i) = 0.
-20, -2
Let g(v) be the third derivative of v**8/1344 - 73*v**7/840 + 719*v**6/240 - 1943*v**5/120 + 3745*v**4/96 - 1225*v**3/24 + 178*v**2. Solve g(z) = 0.
1, 35
Suppose 30 = -8*p + 18*p. Suppose -4*k**2 + 4*k**4 + 0*k**3 + 0*k**3 - 5*k + k**5 + k + 3*k**p = 0. Calculate k.
-2, -1, 0, 1
Let n be (-4968)/627 + (-30)/(-285) - -8. Solve 8/11*m - n*m**4 - 8/11*m**3 - 6/11*m**2 + 8/11 = 0.
-2, -1, 1
Let d(c) = 26 - c**2 + c**2 + 11*c - c**2. Let j be d(13). Find l such that 3/4*l**3 + 0*l**2 + 0*l + j + 3/4*l**4 = 0.
-1, 0
Determine q, given that 2*q**2 - 14/5*q - 12/5 + 2/5*q**4 + 14/5*q**3 = 0.
-6, -1, 1
Let k(r) be the first derivative of -r**8/1008 + r**6/180 - r**4/72 - 2*r**2 + 6. Let s(i) be the second derivative of k(i). Factor s(m).
-m*(m - 1)**2*(m + 1)**2/3
Let t(f) = -8*f**3 + 3*f**2 + 18*f - 10. Let w(s) = 9*s - 15. Let x be w(2). Let z(o) = -15*o**3 + 5*o**2 + 35*o - 20. Let l(a) = x*z(a) - 5*t(a). Factor l(y).
-5*(y - 1)**2*(y + 2)
Let q = 14023 - 14021. Determine u, given that 16/3*u + 26/3*u**q + 2/3 + 4*u**3 = 0.
-1, -1/6
Suppose -20*v + 11*v + 7*v = 0. Suppose 0 + 1/2*w**4 - w**3 + 0*w**2 + v*w = 0. Calculate w.
0, 2
Suppose -22*a**4 + 6*a**3 + 3*a**5 - 2*a**4 - 3*a**4 + 63*a**3 - 21*a**2 - 72*a + 48 = 0. Calculate a.
-1, 1, 4
Let m be (-328)/(-205) - ((-52)/(-20) + -3). Factor 0 - 5/2*s**5 + 5/2*s**4 + 5*s + 15/2*s**3 - 25/2*s**m.
-5*s*(s - 1)**3*(s + 2)/2
Let l be (-6)/(-252)*-7 + (-43)/(-114). Determine r so that -10/19 + l*r**2 + 16/19*r - 16/19*r**3 + 6/19*r**4 = 0.
-1, 1, 5/3
Let h be 8/28 + (-16)/7. Let w = 6 - h. Let x(c) = -3*c**2 - 5*c + 3. Let i(d) = 4*d**2 + 8*d - 4. Let b(q) = w*x(q) + 5*i(q). Determine r, given that b(r) = 0.
-1, 1
Let w(b) = -17*b**2 + 442*b + 302. Let x(r) = 375*r**2 - 9725*r - 6645. Let p(c) = 45*w(c) + 2*x(c). Solve p(s) = 0 for s.
-2/3, 30
Let k(o) be the second derivative of -3*o**5/20 + 2*o**4 - 15*o**3/2 - o - 125. Factor k(a).
-3*a*(a - 5)*(a - 3)
Suppose 33 = 11*z - 8*z. Let s = -9 + z. Solve -5*w + s*w**2 - 3*w + 4*w + 2 = 0 for w.
1
Let s(i) = 8*i**5 + 32*i**4 - 28*i**3 - 28*i**2 + 20*i + 8. Let t(b) = 3*b**5 + 13*b**4 - 11*b**3 - 11*b**2 + 8*b + 3. Let c(d) = 5*s(d) - 12*t(d). Factor c(j).
4*(j - 1)**2*(j + 1)**3
Let f(h) = -h**3 + 2*h**2 + 13*h - 15. Let n be f(4). Factor -w**2 - n*w**2 - 30*w + 40 + 4*w**2 + 7*w**2.
5*(w - 4)*(w - 2)
Let f = 10661 + -31982/3. Find j, given that 2/3 - f*j**2 - 1/3*j = 0.
-2, 1
Let p(g) be the first derivative of -g**4/6 - 8*g**3/3 + 13*g**2/3 + 173. Solve p(r) = 0.
-13, 0, 1
Let u be (663/91 - 7)*2. Solve u*f**2 + 4/7*f**5 + 0 - 4/7*f**4 - 12/7*f**3 + 8/7*f = 0 for f.
-1, 0, 1, 2
Let h be 3 - (2 + 3) - -20. Suppose 2*u = b, 3*u + 2*u + 2*b - h = 0. Solve 8*r - 4*r**u + r**2 - 6 + r = 0 for r.
1, 2
Let d = -19 + 16. Let c = d + 5. Factor 6*l - 3 + c - 2*l**3 + 6 - 1.
-2*(l - 2)*(l + 1)**2
Suppose -21*m - 161 = -287. Let c(z) be the first derivative of 4/5*z**2 - m + 2/5*z**3 + 2/5*z. Factor c(v).
2*(v + 1)*(3*v + 1)/5
Solve -1/2*h**5 + 2*h**4 + 0 + 13/2*h**3 - 24*h - 20*h**2 = 0.
-3, -1, 0, 4
Let w(s) be the first derivative of -s**6/120 + s**5/40 - 2*s**3/3 - 5. Let n(t) be the third derivative of w(t). Factor n(r).
-3*r*(r - 1)
Let n(z) = -z + 17. Let d be n(14). Solve -4 - 5*c**5 - 71*c**4 + 112*c**3 + 32*c + d*c**4 + 21*c**5 - 88*c**2 = 0 for c.
1/4, 1
Let p(j) be the first derivative of j**7/42 - 13*j**6/210 + j**5/28 + j**4/84 - 27*j - 11. Let v(h) be the first derivative of p(h). Factor v(g).
g**2*(g - 1)**2*(7*g + 1)/7
Let b(g) = 1335*g - 13190. Let x be b(10). What is v in 40*v + x + 5/2*v**2 = 0?
-8
Let s(x) = 21*x**3 + x**2 - 2*x + 1. Let y be s(1). Suppose 6*u - y = -u. Solve 1/4*w + 3/4*w**2 + 1/4*w**4 + 3/4*w**u + 0 = 0.
-1, 0
Let r(v) = -v**2 - 36*v + 41. Let a be r(-37). Let q(f) be the first derivative of -2*f**2 + f**a + 1 + 0*f - 4/3*f**3 + 4/5*f**5. Factor q(k).
4*k*(k - 1)*(k + 1)**2
Let z = 413 - 413. Let y(t) be the second derivative of 5/12*t**4 - 5/2*t**2 + 0 - 3*t + z*t**3. Let y(v) = 0. What is v?
-1, 1
Let