21/14)/(3/10). Suppose c*u + 20 = -z - 3, -4*z + 23 = -3*u. What is h in 0*h + 0 - 1/4*h**3 + 1/4*h**z = 0?
0, 1
Solve -4*c**2 + 2*c - 3*c - 9*c - 2*c = 0 for c.
-3, 0
Let m(r) be the first derivative of 0*r**2 + 9 + 1/30*r**6 - 1/20*r**4 - 1/15*r**3 + 1/25*r**5 + 0*r. Factor m(i).
i**2*(i - 1)*(i + 1)**2/5
Let p(b) be the first derivative of 2*b**3 - 4 + 0*b + 0*b**2 + 9/4*b**4. Solve p(a) = 0 for a.
-2/3, 0
Let h(q) = -q**2 - q + 6. Let s be h(-3). Factor 1/2*n**4 - 1/2*n**5 + 1/2*n**3 - 1/2*n**2 + 0*n + s.
-n**2*(n - 1)**2*(n + 1)/2
Let h(w) be the third derivative of w**7/105 - w**6/60 - w**5/30 + w**4/12 + 12*w**2. Factor h(i).
2*i*(i - 1)**2*(i + 1)
Let o = 466 + -1859/4. Let 2 - 3*v - o*v**3 - 9/2*v**2 = 0. Calculate v.
-2, 2/5
Let r(m) be the third derivative of 0*m**4 + 0*m**6 - 1/630*m**7 + m**2 + 0*m + 0*m**3 + 0 + 1/180*m**5. Factor r(p).
-p**2*(p - 1)*(p + 1)/3
Let z = -174/23 + 1894/299. Let i = -86/91 - z. Suppose -2/7*x**3 - 6/7*x**2 - 6/7*x - i = 0. Calculate x.
-1
Factor -m**3 - 2 - 51*m**2 - 2*m + 47*m**2 - 3*m.
-(m + 1)**2*(m + 2)
Factor -1/4*j**4 + 39/4*j**2 + 41/4*j + 11/4*j**3 + 7/2.
-(j - 14)*(j + 1)**3/4
Suppose 6*u = 2*u + 4*o + 16, 2*o + 20 = 5*u. Suppose -2*w - 5*r = 2*w - 18, -u*w = -4*r. Factor -w + 2*q**2 + 2 - 2*q.
2*q*(q - 1)
Suppose 33*q**3 + 39/2*q**4 + 27*q**2 + 9/2*q**5 + 21/2*q + 3/2 = 0. What is q?
-1, -1/3
Find h such that -1/8*h**2 + 0*h + 0 + 1/8*h**3 = 0.
0, 1
Let c be (-4)/16 + (-14)/(-24). Let z = -2 + 2. Suppose z + 1/3*a**2 + c*a = 0. What is a?
-1, 0
Let v(n) be the second derivative of -2/21*n**6 + 4/7*n**5 - 40/21*n**4 + 1/147*n**7 + 80/21*n**3 - 32/7*n**2 - 2*n + 0. Factor v(w).
2*(w - 2)**5/7
Factor 4/7 - 2/7*c**2 + 2/7*c.
-2*(c - 2)*(c + 1)/7
Factor 4*i**2 - 17*i + 38*i + 3*i.
4*i*(i + 6)
Let d(o) be the third derivative of o**2 + 0*o**3 + 0 + 0*o + 0*o**4 + 1/360*o**6 - 1/180*o**5. Let d(u) = 0. Calculate u.
0, 1
Let i(v) be the third derivative of 1/4*v**4 - 2/3*v**3 - 1/60*v**6 + 2*v**2 + 0*v + 0*v**5 + 0. Factor i(n).
-2*(n - 1)**2*(n + 2)
Suppose -2*i - 7 = -3*w, 3*i - 2*w + 9 + 4 = 0. Let l be 2 + i - 1*-7. Factor 0*q + 4/5*q**2 + 0*q**3 - 2/5 - 2/5*q**l.
-2*(q - 1)**2*(q + 1)**2/5
Let l(m) be the first derivative of m**7/105 - m**6/20 + m**5/10 - m**4/12 + m**3 - 1. Let x(w) be the third derivative of l(w). Factor x(j).
2*(j - 1)**2*(4*j - 1)
Let j(b) be the second derivative of b**4/12 - b**3/2 - 2*b**2 + 2*b. Let m(n) = -n**2 + 2*n + 3. Let c(q) = 2*j(q) + 3*m(q). Factor c(y).
-(y - 1)*(y + 1)
Let n(s) be the second derivative of -9*s**5/20 - 55*s**4/4 - 261*s**3/2 - 243*s**2/2 - 33*s + 1. Determine j, given that n(j) = 0.
-9, -1/3
Suppose 5*c - 9 = -k, -3*c + 7 + 2 = -3*k. Let 128/5*q**4 - 88/5*q**c - 36/5*q + 0*q**3 - 4/5 = 0. What is q?
-1/2, -1/4, 1
Let q(n) be the second derivative of -5*n**4/12 - 5*n**3/3 - 5*n**2/2 - 13*n. Factor q(t).
-5*(t + 1)**2
Let z(h) be the second derivative of 3*h**5/140 - h**4/14 + h**3/14 + 38*h. Suppose z(d) = 0. What is d?
0, 1
Let t(b) = b**3 + 9*b**2 + 7*b - 6. Let r be t(-8). Determine w, given that -r*w**2 + 3*w**2 + 2*w**2 + 3*w = 0.
-1, 0
Suppose 0*y**2 + 2/9*y**3 + 0*y**4 + 0 - 1/9*y**5 - 1/9*y = 0. Calculate y.
-1, 0, 1
Let d(y) = 2*y**3 - 26*y**2 + 19*y + 5. Let n(z) = z**3 - 25*z**2 + 20*z + 4. Let r(v) = 4*d(v) - 5*n(v). Solve r(t) = 0 for t.
-8, 0, 1
Let a(i) be the first derivative of -3/4*i**4 - 5 - 1/6*i**6 - 1/3*i**3 + 0*i + 0*i**2 - 3/5*i**5. Determine q so that a(q) = 0.
-1, 0
Suppose 5*x - 9 = 6. Let t(u) be the third derivative of 0*u - 1/240*u**5 - u**2 - 1/96*u**4 + 0*u**x + 0 + 1/480*u**6 + 1/840*u**7. What is g in t(g) = 0?
-1, 0, 1
Let m(b) = -2*b**3 - 2*b**2 - 4*b - 3. Let v be m(-2). Factor 8 + v + i**3 - 21.
i**3
Find w such that -125*w**2 + 147 + 528*w + 1533*w**4 - 16*w**2 - 147*w**5 - 1881*w**3 - 39 = 0.
-2/7, 1, 9
Let g = 515/4 + -132. Let a = g - -47/12. Solve -1/3*m - a*m**2 - 1/3*m**3 + 0 = 0.
-1, 0
Let h(x) be the first derivative of x**7/420 - x**6/90 - x**5/60 + x**4/6 + x**3/3 - 1. Let w(k) be the third derivative of h(k). Suppose w(f) = 0. What is f?
-1, 1, 2
Let y(w) be the second derivative of 1/6*w**4 - 1/30*w**5 - 1/2*w**2 + 0 - 1/3*w**3 + 3*w. Let r(s) be the first derivative of y(s). Factor r(t).
-2*(t - 1)**2
Let i(q) be the second derivative of q**6/1260 - q**5/105 + q**4/21 + q**3/2 + q. Let s(p) be the second derivative of i(p). Let s(j) = 0. Calculate j.
2
Let 0*y**2 + 2/5*y**3 + 0*y + 0 = 0. Calculate y.
0
Let y be (12/(-14))/((-6)/21). Find m such that -2*m**y + 7*m**4 - 2 - 1 - 2*m + 4*m**5 - 3 - 8*m**2 + 7 = 0.
-1, 1/4, 1
Suppose -3/2*a**3 + 81/2 + 27/2*a**2 - 81/2*a = 0. What is a?
3
Let l = -3048/31 + 93504/217. Let g = l + -332. Factor 8/7*i**3 + g + 18/7*i + 24/7*i**2.
2*(i + 2)*(2*i + 1)**2/7
Let k(o) be the third derivative of -1/120*o**8 - 1/75*o**5 + 0*o - 11/300*o**6 + 0 + 2*o**2 - 16/525*o**7 + 0*o**3 + 0*o**4. Determine y so that k(y) = 0.
-1, -2/7, 0
Let x be 32/6 - (-21)/((-63)/4). Let -1/5 + 2/5*o**2 - 2/5*o**3 + 1/5*o + 1/5*o**5 - 1/5*o**x = 0. What is o?
-1, 1
Let 35*t + 20*t + 25*t + 60*t**3 - 65*t + 30*t**4 + 5*t**5 + 50*t**2 = 0. Calculate t.
-3, -1, 0
Factor 0 - 2/5*w**3 - 4/5*w - 6/5*w**2.
-2*w*(w + 1)*(w + 2)/5
Let f(k) be the first derivative of -16/7*k - 76/7*k**3 - 4 - 27/2*k**4 + 68/7*k**2 + 486/35*k**5. Find p such that f(p) = 0.
-2/3, 2/9, 1
Suppose -5*c - 504 = -c. Let z be (-306)/c + 6/(-14). Let -2/7*s**3 + 0 + 2/7*s**4 - 2/7*s**z + 2/7*s = 0. What is s?
-1, 0, 1
Let f(q) be the first derivative of 0*q**2 + q - 1/20*q**5 + 3 + 0*q**3 + 1/12*q**4. Let u(p) be the first derivative of f(p). Determine t so that u(t) = 0.
0, 1
Let a(c) be the third derivative of -4*c**7/315 + c**6/9 + c**5/30 - 4*c**4/9 + 5*c**3/9 - 5*c**2. Solve a(q) = 0 for q.
-1, 1/2, 5
Let o be (-1)/(-3) - (-385)/(-15). Let x = -25 - o. Solve x*f + 0 + 0*f**2 - 1/3*f**3 = 0 for f.
-1, 0, 1
Suppose 2 = -9*o + 2. Let r(n) be the first derivative of 1 - 1/9*n**6 + o*n**2 + 1/9*n**4 + 0*n**3 + 0*n - 2/45*n**5. Let r(f) = 0. What is f?
-1, 0, 2/3
Let n(c) = -c**3 - c**2 - 2*c + 4. Let k(h) = -2*h**3 - 2*h**2 - 5*h + 9. Let p(g) = 3*k(g) - 7*n(g). Factor p(x).
(x - 1)*(x + 1)**2
Factor -1/7*i**2 - 3/7*i**3 + 0*i - 1/7*i**5 + 0 - 3/7*i**4.
-i**2*(i + 1)**3/7
Let i be 0/((1 - 3)*-1). Let j be (-2)/24 - (-2)/6. Let j*y**2 + i - 1/4*y = 0. What is y?
0, 1
Suppose w + 9*w = 0. Let l(q) be the second derivative of -3*q + w + 0*q**3 + 1/6*q**4 + 0*q**2. Factor l(f).
2*f**2
Let u be ((-3)/1)/(((-252)/45)/7). Find q, given that 3/2*q**5 - u*q**4 + 0*q + 0 - 3/4*q**2 + 3*q**3 = 0.
0, 1/2, 1
Let h(w) be the first derivative of -8*w**5/35 - 10*w**4/7 + 34*w**3/7 - 34*w**2/7 + 2*w - 27. Solve h(z) = 0.
-7, 1/2, 1
Let a = 26 - 22. Solve -2*j**3 + 11 - j**a - 11 - 2*j**2 - j**3 = 0 for j.
-2, -1, 0
Let b be (-775)/(-124) + (2 - 8). Factor 1/4*r - 1/4*r**2 - b*r**3 + 0 + 1/4*r**4.
r*(r - 1)**2*(r + 1)/4
Suppose -47*q + 66 = -14*q. Determine r, given that 2/3*r**3 + 0*r**2 - q*r + 4/3 = 0.
-2, 1
Let d be (-3)/24 + (-58)/(-80). Suppose 2*t = -11*t. Factor -d*u**2 + 3/5*u**3 - 6/5*u + t.
3*u*(u - 2)*(u + 1)/5
Suppose 3*s - 5*z = -19, 2*s + 18 = 6*s + 2*z. Let i(q) be the second derivative of 0 + 0*q**s - 1/6*q**4 + 1/10*q**5 + 0*q**3 + 2*q. What is p in i(p) = 0?
0, 1
Suppose 15*s + 22 = 67. Factor 3/2*r**5 + 0 + 0*r - 3/2*r**2 + 3/2*r**4 - 3/2*r**s.
3*r**2*(r - 1)*(r + 1)**2/2
Let b(g) = -g**2 - 7*g + 20. Let s be b(-9). Determine d so that 1/2*d**3 + 1/2*d + d**s + 0 = 0.
-1, 0
Let o(t) be the first derivative of t + 2 + 0*t**2 - 1/48*t**4 + 1/24*t**3. Let s(m) be the first derivative of o(m). Let s(h) = 0. Calculate h.
0, 1
Factor 1/9*t**5 + 1/9*t**4 - 2/9*t**3 + 0*t**2 + 0 + 0*t.
t**3*(t - 1)*(t + 2)/9
Suppose 0 = -0*q + q. Suppose -r + 0*r = q. Factor r*k**2 + 2 + 2*k**2 - 6*k + 2*k.
2*(k - 1)**2
Let y(o) be the third derivative of 1/140*o**7 + 0 + 0*o**4 + 0*o**5 - 1/448*o**8 - 1/160*o**6 + 0*o**3 + 0*o + 3*o**2. Determine v, given that y(v) = 0.
0, 1
Let y be 0*(-3 - -2) - 68/(-85). Solve -2/5*o**2 - 2/5*o**3 + y*o + 0 = 0.
-2, 0, 1
Let v be ((-9)/(-108) - (-4)/6)/3. Factor 1/2*u + v + 1/4*u**2.
(u + 1)**2/4
Let v = -52 - -52. Let h(s) be the first derivative of 0*s + 1/6*s**4 + v*s**2 + 2 + 0*s**3. Factor h(