 109*q + 353. Let u(a) = -7*i(a) + 12*l(a). Factor u(n).
-2*(n - 20)*(n + 3)
Let v = 34 - 19. Let t = -11 + v. Let -14*p**3 - t*p**2 - 22*p**4 - 2*p**5 + 0*p**5 - 4*p**5 + 6*p**4 = 0. What is p?
-1, -2/3, 0
Determine a so that 21/5*a**2 + 27/5*a**4 - 69/5*a**3 - 48/5 + 72/5*a - 3/5*a**5 = 0.
-1, 1, 4
Let w = -178 - -182. Let a(c) be the first derivative of -c**2 - 2*c + 3 + 2/3*c**3 + 1/2*c**w. Let a(s) = 0. Calculate s.
-1, 1
Let i(m) be the third derivative of -m**5/6 + m**4 + 3*m**3 + 40*m**2 - 5*m. Factor i(c).
-2*(c - 3)*(5*c + 3)
Let j = -318/37 - -1028/111. Determine v so that -1/3*v + 1/3*v**2 - j = 0.
-1, 2
Let o be (5 + -6)/(528/(-420) - (-1)/(-7)). Let -4/7*n + 1/7*n**2 - o = 0. What is n?
-1, 5
Let v = 4903/1090 + 1/545. What is h in -33/2*h + v*h**2 + 9 = 0?
2/3, 3
Let c(a) be the second derivative of -a**7/462 + a**6/330 + 3*a**5/220 - a**4/132 - a**3/33 + 5*a + 3. Suppose c(l) = 0. What is l?
-1, 0, 1, 2
Suppose -3*p + 3*l + 0 = -3, 0 = -3*p + 5*l - 3. Let n(u) be the first derivative of 1/2*u**p + 7 + 1/3*u**3 + 0*u**2 + 0*u. Factor n(b).
b**2*(2*b + 1)
Let b = 19/31 + -287/620. Let c(r) be the first derivative of -5 + b*r**4 + 3/5*r**3 + 0*r**2 + 0*r. What is n in c(n) = 0?
-3, 0
Let m(k) = -2*k**2 - 2. Let w(z) = -z**2 - z - 3. Let b be -5 - -4 - 4/(-2). Suppose -l - 5 = b. Let s(u) = l*m(u) + 4*w(u). Factor s(j).
4*j*(2*j - 1)
Let q(p) be the second derivative of -p**5/160 - p**4/24 + p**3/12 + p**2 - 147*p - 1. Let q(s) = 0. Calculate s.
-4, -2, 2
Let b(i) be the first derivative of i**4/28 + 10*i**3/21 + i**2/2 - 18*i/7 + 238. Solve b(k) = 0.
-9, -2, 1
Let i be 8/(-1) - (-9 - (-9 + 4)). Let d be 6/i*(-2 + 0). Factor -4/13 - 32/13*v**2 - 14/13*v**d - 22/13*v.
-2*(v + 1)**2*(7*v + 2)/13
Suppose 5*h = -l + 11, -19 = -4*l - 2*h + 7. Determine d, given that 8*d**2 + 2*d**3 - 37*d + 50*d - d**3 + l = 0.
-6, -1
Suppose 8*t = 23*t + 269 - 359. Factor -2/3*m**3 - t*m + 8/3 + 4*m**2.
-2*(m - 4)*(m - 1)**2/3
Find t, given that -16/17*t**3 + 10/17*t**4 - 2/17*t**5 + 0*t + 8/17*t**2 + 0 = 0.
0, 1, 2
Let k(f) be the first derivative of -15 + 1/10*f**5 - f**2 + 1/12*f**4 - 2/3*f - 1/2*f**3. Solve k(a) = 0 for a.
-1, -2/3, 2
Let r be ((-22)/(-165))/(40/90). Let 0*b - r*b**3 - 1/10*b**4 + 0 + 0*b**2 = 0. What is b?
-3, 0
Determine b, given that 3*b - 25*b**3 + 22*b + 19*b**2 + 5*b**4 - 46 - 4*b**2 + 26 = 0.
-1, 1, 4
Let a(i) be the first derivative of -2*i**5/25 - 3*i**4/10 + 16*i**3/5 - 28*i**2/5 - 860. Let a(u) = 0. Calculate u.
-7, 0, 2
Let v(j) be the first derivative of j**5/5 - 7*j**4/4 + 5*j**3/3 + 7*j**2/2 - 6*j - 17. Solve v(p) = 0 for p.
-1, 1, 6
Let c = -1425 - -9977/7. Determine w so that -c*w**2 + 2/7*w**3 - 2/7*w**5 + 2/7*w**4 + 0 + 0*w = 0.
-1, 0, 1
Let i(j) be the first derivative of j**6/6 - 31*j**4/4 - 10*j**3 - 163. Factor i(l).
l**2*(l - 6)*(l + 1)*(l + 5)
Let d(k) = -39*k**2 - 35*k + 4. Let x(w) = 20*w**2 + 18*w - 2. Let a be (-9)/(315/(-10)) - (-37)/(-7). Let q(u) = a*x(u) - 3*d(u). Factor q(c).
(c + 1)*(17*c - 2)
Let s(p) be the second derivative of p**4/9 + 44*p**3/27 - 32*p**2/9 + 36*p + 2. Let s(t) = 0. What is t?
-8, 2/3
What is q in 1/2*q**2 - 3/2*q - 5 = 0?
-2, 5
Suppose -2*o + 21 = -5*v, -6*o + 2*o + v = -15. Let k = o + 1. Let 574*h**k - 145*h + 968*h**3 + 4 - 262*h**2 + 6*h**2 - 490*h**5 + 28 + 17*h = 0. Calculate h.
-1, -2/5, 2/7, 2
Let l be (-1)/(7/14*(-1 + 3)). Let d be 26/40 - ((-10)/25)/l. Let -9/4*w - 2*w**2 - d = 0. What is w?
-1, -1/8
Suppose -20*o + 4*i - 330 = -21*o, 0 = 3*o - 5*i - 990. Let l be -5 - (-212)/44 - (-104)/o. Factor l*f**2 - 2/15 - 2/15*f + 2/15*f**3.
2*(f - 1)*(f + 1)**2/15
Suppose -68*u + 735 = 16*u + 63*u. Factor 0 + 1/6*t**u - 2/3*t**4 + 1/6*t - 2/3*t**2 + t**3.
t*(t - 1)**4/6
Let s(k) = k. Let j(b) = 65025*b**2 + 1015*b + 4. Let o(y) = 2*j(y) + 10*s(y). Factor o(x).
2*(255*x + 2)**2
Find w such that -12*w**2 + 4*w**2 + 0*w**3 - 24*w + 4*w**2 - 2*w**4 - 2*w**4 + 16*w**3 = 0.
-1, 0, 2, 3
Suppose -4*i - 6 = -14. Find o such that 1006*o + 8 + 0*o**i - 1002*o - o**2 - 3*o**2 = 0.
-1, 2
Find m such that 62/7*m - 20/7 - 30/7*m**2 = 0.
2/5, 5/3
Let j be (0/(-4))/(23/23). Let d(g) be the second derivative of -1/15*g**6 + 5/6*g**4 - g**3 - 1/10*g**5 + 0 + 6*g + j*g**2. Factor d(h).
-2*h*(h - 1)**2*(h + 3)
Suppose 117*w**3 - 61*w**3 - 89*w**2 + 94*w + 12 - 2*w**2 - 44*w**2 - 27*w**2 = 0. What is w?
-3/28, 1, 2
Let h(k) be the second derivative of -k**6/180 - 67*k**5/120 - 385*k**4/24 - 121*k**3/4 + k + 70. Factor h(c).
-c*(c + 1)*(c + 33)**2/6
Suppose 3*v + 3*u - 3 = 0, -4*v + v + 17 = -4*u. Suppose 3*q - 12 = 4*y, q = 6*q + y + v. Factor -1/2*h**4 + q*h + 0*h**3 + 0 + 1/2*h**2.
-h**2*(h - 1)*(h + 1)/2
Let 2/15*v**4 - 22/15*v**3 - 48/5 + 8*v + 44/15*v**2 = 0. Calculate v.
-2, 1, 6
Let i(o) be the second derivative of -6*o**6/35 - 6*o**5/7 - 16*o**4/21 + 20*o**3/7 + 50*o**2/7 - 68*o. Determine g, given that i(g) = 0.
-5/3, -1, 1
Let i = 248 + -172. Let l be i/16 - 3/(-6). Factor 15/4*m**2 - 3/4*m**3 - l*m + 9/4.
-3*(m - 3)*(m - 1)**2/4
Let b(c) be the third derivative of -1/2*c**4 - 1/20*c**6 - 1/210*c**7 + 0*c + 0 - 2*c**2 - 13/60*c**5 - 2/3*c**3. Factor b(y).
-(y + 1)**2*(y + 2)**2
Let t(x) = 8*x**2 - 48*x - 194. Let f(d) = -3*d**2 - 2*d - 1. Let w(j) = f(j) + t(j). Find i, given that w(i) = 0.
-3, 13
Suppose 7*q - 11*q + 8 = 0. Suppose -q = 2*x - 2. Suppose 0*y - 2/5*y**2 + 1/5*y**5 - 3/5*y**3 + 0 + x*y**4 = 0. Calculate y.
-1, 0, 2
Let h(k) be the first derivative of -k**6/18 - 13*k**5/30 + k**4 - 19*k**3/3 + 7. Let n(v) be the third derivative of h(v). Find s such that n(s) = 0.
-3, 2/5
Let r(g) = g + 2 - 4*g - 1 + 2*g. Suppose 2*c - 4 = 6*c. Let u(w) = -w**2 - 4*w + 3. Let x(t) = c*u(t) + 3*r(t). Determine a, given that x(a) = 0.
-1, 0
Let d(w) be the first derivative of 5*w**3/2 - 51*w**2/4 - 81*w - 408. Factor d(x).
3*(x + 2)*(5*x - 27)/2
Let x(j) = -550*j - 11547. Let q be x(-21). What is y in -9/4*y**2 + 0*y + 0 - 3/4*y**4 - 3*y**q = 0?
-3, -1, 0
Let i(r) = -r**3 - 166*r**2 - 127*r - 14. Let h(f) = f**3 + 81*f**2 + 63*f + 7. Let v(x) = 13*h(x) + 6*i(x). Factor v(d).
(d + 1)*(d + 7)*(7*d + 1)
Suppose 2*s = -3*h + 25, 5*h + 2 + 3 = 0. Let u be 32/s + (-2)/7. Let -10*k**4 - 40*k + 8*k + 6*k**4 + 8 + 6*k**u - 10*k**4 + 32*k**3 = 0. What is k?
-1, 2/7, 1, 2
Let r(t) be the third derivative of -t**10/453600 - t**9/181440 + 13*t**5/60 - 11*t**2. Let x(q) be the third derivative of r(q). Solve x(j) = 0 for j.
-1, 0
Let k(t) = -t**4 + t**3 - t**2. Let d(b) = b**5 + 2*b**4 - 3*b**3 + 2*b**2. Let w(y) = d(y) + 2*k(y). Determine u, given that w(u) = 0.
-1, 0, 1
Let f(t) be the second derivative of 1/294*t**7 + 8/7*t**2 - 1/12*t**4 + 23/140*t**5 - 3/70*t**6 - 4/7*t**3 + 2*t + 0. Suppose f(k) = 0. Calculate k.
-1, 1, 4
Factor 119*p**2 + 4*p**3 - 16*p + 16 - 243*p**2 + 120*p**2.
4*(p - 2)*(p - 1)*(p + 2)
Let w(c) = -3*c - c - 3*c**2 + 10 - 9*c**2 - c. Let i(x) = 11*x**2 + 5*x - 10. Let k(u) = 7*i(u) + 6*w(u). Factor k(r).
5*(r - 1)*(r + 2)
Let r(m) be the second derivative of 45/2*m**2 - 2 + 1/4*m**5 - 6*m + 5/2*m**3 - 25/12*m**4. Solve r(b) = 0 for b.
-1, 3
Let r = 22/19 + -116/133. Solve -r*q**4 + 2/7*q**3 + 0*q + 0*q**2 + 0 = 0 for q.
0, 1
Factor 190/11*c + 92/11*c**2 + 96/11 - 2/11*c**3.
-2*(c - 48)*(c + 1)**2/11
Suppose 0*n - 2*r = -5*n + 18, -2*n - 3*r = -11. Factor 2*s**5 + 3*s**3 - s**5 - n*s**3.
s**3*(s - 1)*(s + 1)
Let f = -14734 + 14734. Factor -1/2*q - 5/4*q**2 - 1/4*q**4 - q**3 + f.
-q*(q + 1)**2*(q + 2)/4
Let h be ((96/(-9))/8)/(2/6). Let t = 9/2 + h. Factor 0 + 1/2*w + t*w**2.
w*(w + 1)/2
Let b(u) = 4*u**2 - 5*u - 6. Let c be (4/2)/(1*6/(-3)). Let p be b(c). Factor 2/5*f**2 - 2/5*f**p + 0*f + 0.
-2*f**2*(f - 1)/5
Let b(z) = -z**2 + z - 1. Let g(a) = -4*a + 37. Let x be g(8). Let i(y) = 2*y**2 + 9*y + 26. Let v(p) = x*i(p) + 5*b(p). Determine n so that v(n) = 0.
-5
Let v(n) = 7*n + 135. Let k be v(-19). Determine g, given that 0 - 1/8*g + 1/8*g**4 - 3/8*g**3 + 3/8*g**k = 0.
0, 1
Let w(c) be the second derivative of -c**6/120 + 13*c**4/48 + c**3/2 - c + 9. Find v, given that w(v) = 0.
-3, -1, 0, 4
Let c(i) be the second derivative of -1/294*i**7 + 0 + 6*i - 2/7*i**2 + 1/12*i**4 + 0*i**3 - 1/70*i**6 + 1/140*i**5. Let c(m) = 0. What is m?
-2, -1, 1
Suppose 5*g**4 + 4*g**4 + 127*g*