 -4*i(y) + n(y). Let b(h) = 0. Calculate h.
1/2, 1, 3
Suppose z - r = 0, 14*z = 9*z - 3*r. Factor 0 + z*w + 0*w**2 - 3/5*w**3.
-3*w**3/5
Suppose -28 - u + 3*u**2 - 5*u + 31 = 0. What is u?
1
What is q in -176 + 173 - 3*q + 3*q**2 + 2*q**3 + q**3 = 0?
-1, 1
Let x(v) be the third derivative of v**5/15 - v**3/6 - 2*v**2. Let f be x(1). Factor d**3 + 0*d**2 + 2*d**2 - f*d**2.
d**2*(d - 1)
Let m(r) be the first derivative of r**5/10 - r**4/6 - r**3/3 - 3*r**2 - 3. Let h(i) be the second derivative of m(i). Factor h(v).
2*(v - 1)*(3*v + 1)
Suppose -4*u - 8 = -2*t, 4*u + 10 - 8 = -t. Factor 10/7*c**3 + 0 - 4/7*c - 6/7*c**t.
2*c*(c - 1)*(5*c + 2)/7
Determine g, given that -1/3*g**3 - 8/3 + 5*g - 2*g**2 = 0.
-8, 1
Let y = 366 - 364. Find b, given that 4/5*b + 4/5 + 1/5*b**y = 0.
-2
Let k(j) = -j + 12. Let s be k(11). Let i(h) be the first derivative of 8/5*h - 2/3*h**3 - s + 8/5*h**2. What is q in i(q) = 0?
-2/5, 2
Let m(w) be the first derivative of w**2 - 1/6*w**4 + 2*w + 1 + 0*w**3. Let k(d) be the first derivative of m(d). Factor k(x).
-2*(x - 1)*(x + 1)
Let c(o) be the second derivative of 4*o + 0 - 1/3*o**3 + 2*o**2 - 1/6*o**4. Factor c(z).
-2*(z - 1)*(z + 2)
Suppose 125/3*i - 20/3 - 20/3*i**4 + 125/3*i**3 - 70*i**2 = 0. What is i?
1/4, 1, 4
Suppose 14 = 2*g + c - 7, 57 = 5*g + 4*c. Factor 1/3*h**3 - 3*h**2 - g + 9*h.
(h - 3)**3/3
Factor 2/9*r**2 + 0*r - 8/9.
2*(r - 2)*(r + 2)/9
Let v(i) be the first derivative of -i**3 + 3*i**2 - 3*i + 10. Factor v(h).
-3*(h - 1)**2
Let v be (-18)/(-162) - (-26)/(-288). Let z(g) be the second derivative of 0 + 1/8*g**3 + 1/4*g**2 - 4*g + v*g**4. Solve z(n) = 0.
-2, -1
Let p = 0 + 0. Let i be 5 + 0 - (1 - p). Determine k so that 0 + 1/4*k**3 + 2*k**i + 0*k - 1/2*k**2 + 5/4*k**5 = 0.
-1, 0, 2/5
Factor -4/5*o - 1/5*o**2 - 4/5.
-(o + 2)**2/5
Let w(u) be the first derivative of 2*u**3/15 - 2*u**2/5 - 6*u/5 + 3. Factor w(q).
2*(q - 3)*(q + 1)/5
Factor 13*s**3 - 52 + 100*s + 0*s + 2*s**3 - 70*s**2 + 12.
5*(s - 2)**2*(3*s - 2)
Let t(w) be the first derivative of 1/9*w**3 + 1/60*w**5 - 1/12*w**4 - 1 + 0*w**2 - w. Let n(q) be the first derivative of t(q). Solve n(r) = 0 for r.
0, 1, 2
Let t(r) be the first derivative of 2*r**3 + 2*r**2 + 2*r - 4. Let s(u) = 7*u**2 + 5*u + 3. Suppose -c - 5 = -0*c. Let b(o) = c*t(o) + 4*s(o). Solve b(i) = 0.
-1, 1
Let g(v) be the third derivative of v**6/120 + 11*v**5/20 + 121*v**4/8 + 1331*v**3/6 + 67*v**2. Find k, given that g(k) = 0.
-11
Suppose -693*f**2 + 0*f**3 - f**4 - f**5 + 694*f**2 + f**3 = 0. What is f?
-1, 0, 1
Let l be 0/((1 - 0) + -3). Let r(o) be the first derivative of -7/4*o**4 + l*o + 5/3*o**3 + o**2 + 2. Factor r(j).
-j*(j - 1)*(7*j + 2)
Let k(t) be the third derivative of 2*t**2 + 1/420*t**7 + 0 + 1/240*t**6 + 0*t - 1/672*t**8 + 0*t**4 - 1/120*t**5 + 0*t**3. Factor k(v).
-v**2*(v - 1)**2*(v + 1)/2
Let h(w) be the first derivative of -w**3/7 - 9*w**2/7 + 3*w - 8. Factor h(m).
-3*(m - 1)*(m + 7)/7
Let n(c) = c - 1. Let i(j) = -j**2 + 5*j + 1. Let g(z) = -z - 1. Let h(d) = -4*g(d) - i(d). Let s(u) = h(u) + 3*n(u). What is k in s(k) = 0?
-2, 0
Let m be 18/10 + 6/30. Factor 1/4*g + 0 + 0*g**m - 1/4*g**3.
-g*(g - 1)*(g + 1)/4
Let n(f) = -f**2 + 5*f + 6. Let p be n(6). Let b(u) be the first derivative of p*u + 4/21*u**3 - 1 - 1/14*u**4 + 0*u**2. Factor b(h).
-2*h**2*(h - 2)/7
Let k(l) = -l**4 - 1. Let r(v) = 3*v**5 + 4*v**4 - 12*v**3 - 6*v**2 + 9*v - 2. Let b(f) = 2*k(f) - r(f). Solve b(a) = 0.
-3, -1, 0, 1
Let v(y) = y**3 + 4*y**2 - 8*y - 11. Let l be v(-5). Let x be l/22 + (-357)/(-154). Let 0 + 5/2*o**4 - x*o**2 + 7/2*o**5 + o - 9/2*o**3 = 0. Calculate o.
-1, 0, 2/7, 1
Let r(j) = 8*j**4 + 2*j**3 - 6*j**2 - 2*j + 4. Let x(y) = 9*y**4 + 3*y**3 - 7*y**2 - 3*y + 5. Let k(c) = 7*r(c) - 6*x(c). Find t such that k(t) = 0.
-1, 1
Let t(x) be the first derivative of 3*x**5/25 - 3*x**4/5 + x**3 - 3*x**2/5 + 6. Factor t(z).
3*z*(z - 2)*(z - 1)**2/5
Let h = -308 + 926/3. Factor 4/9*q - h + 2/9*q**2.
2*(q - 1)*(q + 3)/9
Let x(r) be the second derivative of r**5/12 - 35*r**4/36 + 25*r**3/6 - 15*r**2/2 + 18*r. Suppose x(b) = 0. What is b?
1, 3
Let a = 1537 + -63012/41. Let q = 129/287 + a. Factor q*c + 10/7*c**2 + 8/7*c**3 + 2/7*c**4 + 0.
2*c*(c + 1)**2*(c + 2)/7
Let s(d) be the first derivative of -2*d**5/5 - 7*d**4/4 - 3*d**3 - 5*d**2/2 - d - 7. Suppose s(w) = 0. Calculate w.
-1, -1/2
Factor 5*z - 8*z**2 + 15*z**2 - 12*z**2.
-5*z*(z - 1)
Find i such that 1/2*i**3 + 1/2*i**2 + 0*i + 0 = 0.
-1, 0
Let q(s) be the third derivative of -1/360*s**6 + 1/504*s**8 + 0*s + 4*s**2 - 1/630*s**7 + 0*s**3 + 0*s**5 + 0 + 0*s**4. Let q(f) = 0. Calculate f.
-1/2, 0, 1
Let l = 2/209 - -826/1045. Let a be ((-3)/2)/((-3)/8). Solve -38/5*i**2 + l - 66/5*i**3 + 2*i + 18*i**a = 0.
-1/3, 2/5, 1
Let d(a) = a**3 + 2*a**2 - 3*a - 4. Let l be d(-1). Let l*p - 2/9*p**3 - 2/9*p**2 + 0 = 0. What is p?
-1, 0
Factor 0 + 1/2*j**2 - j.
j*(j - 2)/2
Let r = -114 - -118. Let i(k) be the third derivative of 0 + k**2 + 1/28*k**r + 0*k - 2/21*k**3 - 1/210*k**5. Factor i(s).
-2*(s - 2)*(s - 1)/7
Suppose 0 = -2*c + 18 - 4. Suppose -4*u**4 + c*u**2 - 2*u**2 + 2*u**5 + u - u**2 - 3*u = 0. What is u?
-1, 0, 1
Factor 40 + 20*w + 5/2*w**2.
5*(w + 4)**2/2
Let o(i) be the second derivative of i**6/135 - 2*i**5/45 + i**4/9 - 4*i**3/27 + i**2/9 + 6*i. Factor o(u).
2*(u - 1)**4/9
Factor -15*y**3 - 9*y**4 - 11*y**3 - 4*y - 27*y**2 - 4*y**3 - 2*y.
-3*y*(y + 1)*(y + 2)*(3*y + 1)
Let l(j) be the first derivative of -3*j**4/2 - j**2 - 2. Let v(z) = 5*z**3 + z. Suppose -7 = 4*o + 9. Let k(b) = o*v(b) - 3*l(b). Factor k(m).
-2*m*(m - 1)*(m + 1)
Suppose 2 + 4 = 3*z. Let f(s) be the second derivative of -1/60*s**5 + z*s - 1/6*s**3 + 1/12*s**4 + 0 + 1/6*s**2. Factor f(a).
-(a - 1)**3/3
Let o(c) be the second derivative of c**4/12 - c**3/6 - 3*c**2/2 - 3*c. Let r be o(3). Determine d so that -9*d + 13*d + 3*d**2 - r*d**2 + 2*d**2 = 0.
-2, 0
Suppose -t = -2*t - 9*t. Let q(u) be the first derivative of -1/14*u**4 + 1/7*u**2 + 0*u**3 - 4 + t*u. Solve q(y) = 0.
-1, 0, 1
Let t = -95 + 99. Let d(b) be the first derivative of 2/5*b**5 + 0*b + 0*b**2 - 1/15*b**6 - 4/5*b**4 + 8/15*b**3 + t. Factor d(i).
-2*i**2*(i - 2)**2*(i - 1)/5
Let m(z) = z**2 + z. Suppose 3*b - 5*v + v - 1 = 0, b + v = -2. Let a(f) = 21*f**3 + 32*f**2 + 5*f - 6. Let r(q) = b*a(q) - 4*m(q). Factor r(w).
-3*(w + 1)**2*(7*w - 2)
Let o(f) be the first derivative of -f**4/34 + 16*f**3/51 - 7*f**2/17 + 13. Find n, given that o(n) = 0.
0, 1, 7
Let n = -239/10 + 24. Let c(k) be the second derivative of -1/60*k**4 + 2*k + 0 + n*k**3 - 1/5*k**2. Factor c(s).
-(s - 2)*(s - 1)/5
Suppose -2*c + 16 = 6*m - 2*m, m - 4*c + 14 = 0. Suppose 0 = 4*w + 4, m*w + 3 = -j - w. Factor 1/2*u**2 + u**3 + j*u + 1/2*u**4 + 0.
u**2*(u + 1)**2/2
Let s(u) be the second derivative of -u**7/12 - 3*u**6/20 + u**5/8 + 3*u**4/8 + u**3/6 - 14*u. Find i such that s(i) = 0.
-1, -2/7, 0, 1
Factor -25/3*s**3 - 5/3*s**4 + 20/3*s + 40/3 - 10*s**2.
-5*(s - 1)*(s + 2)**3/3
Let h = -1 + 4. Let d be ((-2)/h)/((-1)/3). Let m(w) = -w**3 + w - 1. Let x(o) = -o**3 - 15*o**2 - 26*o - 10. Let t(u) = d*m(u) + x(u). Factor t(r).
-3*(r + 1)*(r + 2)**2
Let r(u) be the third derivative of 1/30*u**5 + u**2 + 0*u + 0*u**3 - 1/12*u**4 + 0. Let r(k) = 0. What is k?
0, 1
Let j = 100/9 - 317/18. Let p = j + 9. Factor -1 - p*h + h**2 + 5/2*h**3.
(h - 1)*(h + 1)*(5*h + 2)/2
Let g(c) be the first derivative of -c**4/20 - c - 1. Let w(d) be the first derivative of g(d). Determine x, given that w(x) = 0.
0
Suppose -z + 0 + 2 = 0. Factor 0*p + 0*p + p**z + 0*p**2 - p.
p*(p - 1)
Let a(o) be the first derivative of 0*o**2 + 0*o - 4 + 2/9*o**3 - 1/2*o**4 + 7/36*o**6 - 3/10*o**5. Find r, given that a(r) = 0.
-1, 0, 2/7, 2
Let c(a) be the third derivative of 27*a**7/700 - 3*a**6/100 + a**5/150 - 17*a**2. Find j, given that c(j) = 0.
0, 2/9
Let o = -19 - -21. Let d(n) be the second derivative of 2*n + 0 + 1/24*n**3 - 1/80*n**5 + 0*n**4 + 0*n**o. Factor d(t).
-t*(t - 1)*(t + 1)/4
Determine o, given that -8/21*o**4 + 0 + 8/21*o + 32/21*o**2 - 2/21*o**3 = 0.
-2, -1/4, 0, 2
Let p(c) be the first derivative of -1 + 1/22*c**4 + 4/33*c**3 + 0*c**2 + 0*c. Find x, given that p(x) = 0.
-2, 0
Let r(x) be the second derivative of -x**5/40 + x**4/12 - x**3/12 + 7*x. Facto