1/2*t**4 + 0 - t**3 + 1/2*t**2.
-t*(t - 1)*(t + 1)*(t + 2)/2
Let l = -2 - -5. Suppose -85*x - 2*b = -82*x - 2, 4*b = -4*x. Suppose 3/4*c**x + 3/4*c + 1/4 + 1/4*c**l = 0. What is c?
-1
Let k = 42 + -30. Factor k*j**4 - 9*j**4 + 7*j**3 - j**3.
3*j**3*(j + 2)
Let 106*z**2 + 11*z + 72 + 2*z**4 + 102*z + 55*z + 28*z**3 - 16*z = 0. What is z?
-9, -2, -1
Let h(f) be the third derivative of -f**5/630 - 52*f**4/63 - 10816*f**3/63 - f**2 - 25. Factor h(o).
-2*(o + 104)**2/21
Determine j so that j**2 + 8 - 141*j + 132*j + 0*j**2 = 0.
1, 8
Let p = -37/11070 - -1/135. Let s = p + 655/246. Solve -2/3*x**3 - 7/3*x**2 + 11/6*x + s*x**4 - 7/6*x**5 - 1/3 = 0.
-1, 2/7, 1
Let i(m) be the first derivative of 3*m**4/4 + m**3 - 6*m**2 - 12*m - 272. Let i(k) = 0. What is k?
-2, -1, 2
Suppose -23 = -7*v - 2. Let 16*c - 5*c**2 - 28*c**v + 20 + 23*c**3 + 4*c = 0. What is c?
-2, -1, 2
Factor -4/5*x**4 + 0 - 22*x**2 - 41/5*x**3 - 5*x.
-x*(x + 5)**2*(4*x + 1)/5
Let i be (3/4)/((-42)/(-4)*55/110). Factor i*f + 3/7*f**2 - 3/7 - 1/7*f**3.
-(f - 3)*(f - 1)*(f + 1)/7
Let p(u) = -14*u + 646. Let b be p(46). Let k(i) be the third derivative of 0*i**3 + 0*i + 0 + 1/60*i**5 + 7*i**b + 1/8*i**4. Solve k(z) = 0 for z.
-3, 0
Let v be (-46)/12 + (-29)/((-348)/48). Let g(f) be the first derivative of -8 + 1/8*f**4 + 1/2*f - v*f**3 - 1/4*f**2. Factor g(b).
(b - 1)**2*(b + 1)/2
Let z be (-6 + 2)*(-61)/4. Suppose -6 = -97*m + 94*m. Suppose 1 - z*k**m + 63*k**2 - 1 = 0. What is k?
0
Let q be ((-16)/(-12))/((-52)/(-156) - 1/(-3)). Solve -2/3*v**3 + 4/3*v + 2/3*v**q + 0 = 0 for v.
-1, 0, 2
Let a be 8*(-25 + (-1616)/(-64)). Solve 2/5*s**a - 44/5*s + 242/5 = 0.
11
Let l(y) be the first derivative of 0*y**3 + 0*y + 1/20*y**5 + 1 + 5/2*y**2 + 0*y**4. Let n(v) be the second derivative of l(v). Factor n(g).
3*g**2
Let f(l) be the second derivative of l**5/15 - 50*l**4/9 + 98*l**3/9 + 97*l + 1. Find u, given that f(u) = 0.
0, 1, 49
Let p = 114 - 115. Let f = p - -5. What is j in 2/7*j - 10/7*j**2 - 8/7*j**5 + 10/7*j**f + 6/7*j**3 + 0 = 0?
-1, 0, 1/4, 1
Let g(q) = q**2 + 10*q + 13. Let f be g(-9). Let d(h) be the second derivative of -1/4*h**f + 0 + 3*h + 0*h**2 + 0*h**3 - 3/40*h**5. Find o such that d(o) = 0.
-2, 0
Let n = 1/1381 - 49723/9667. Let t = -4 - n. Factor -2/7*o**3 + 10/7*o**2 + t - 16/7*o.
-2*(o - 2)**2*(o - 1)/7
Let x(k) = -k - 1. Suppose 0 = -5*n - 2 - 3. Let c(o) = 10 + 18*o - 2*o**2 - 2*o - 4*o**2 + 8*o**2. Let h(y) = n*c(y) - 10*x(y). Let h(a) = 0. Calculate a.
-3, 0
Let z(i) be the first derivative of -3*i**4 + 272*i**3/3 + 46*i**2 - 312. Let z(p) = 0. What is p?
-1/3, 0, 23
Suppose -4*k + 5 = -5*r - k, -r + 4*k - 18 = 0. Let p = 0 + 3. Factor -p*w + 0*w + r*w + 5*w + 2*w**2 + 2.
2*(w + 1)**2
Let z be 10/(1 + -3) - -1. Let v be 28/z*24/(-7). Find t such that -4*t**2 - 3 + 9*t**4 + v*t**3 + 3*t + 22*t**2 - 3*t = 0.
-1, 1/3
Suppose -5*g - 262 + 277 = 0. Factor 30*a**5 + 15*a**g - 62*a**5 + 10*a**4 + 27*a**5.
-5*a**3*(a - 3)*(a + 1)
Let u(f) be the second derivative of f**7/147 - 4*f**6/105 + f**5/14 - f**4/21 - 29*f - 1. Solve u(b) = 0 for b.
0, 1, 2
Let i be (-176)/24 - -7 - -1. Let g(c) be the first derivative of -8*c + 7 - i*c**3 + 4*c**2. Factor g(j).
-2*(j - 2)**2
Let d(c) be the third derivative of c**7/1260 + c**6/270 - c**5/180 - c**4/18 - c**3/3 - 5*c**2. Let i(l) be the first derivative of d(l). Factor i(x).
2*(x - 1)*(x + 1)*(x + 2)/3
Suppose 0*c + 1 = 3*r + 5*c, 0 = 4*c + 4. Let p be r*-4*12/(-32). Solve -4*m**p - 48*m**3 - 24*m**3 - 56*m**4 - 50*m**2 - 16*m**5 - 2 - 16*m = 0.
-1, -1/2
Let y be ((-3)/9)/(4/(-24)). Suppose -5*m - 25 = 0, -y*m - 14 = -5*i + 6. Let -q**i - 3*q - 1 + 3*q - 2*q = 0. What is q?
-1
Suppose 0 = 2*k - 3*k + 4. Suppose -k*b - 5*o + 12 = 0, 0*b + 3*b + 5*o - 9 = 0. Find p such that p**2 - b + 11 - 6*p + 1 = 0.
3
Let m = -120 + 450. Suppose 330 + 5*i + 5*i**2 - m = 0. Calculate i.
-1, 0
Find b, given that -162*b**4 + 141*b**4 - 54*b - 90*b**3 - 129*b**2 - 18*b - 12 = 0.
-2, -1, -2/7
Let v(u) be the third derivative of -u**6/320 + 7*u**5/80 + 49*u**4/64 + 17*u**3/8 - 4*u**2 + 56*u. Factor v(o).
-3*(o - 17)*(o + 1)*(o + 2)/8
Let o(r) be the third derivative of 0*r**3 + 1/336*r**8 + 0 + 0*r - 1/42*r**7 + 1/12*r**5 - 12*r**2 - 1/6*r**4 + 1/40*r**6. Solve o(i) = 0.
-1, 0, 1, 4
Factor -1 - 2*t**2 - 1/2*t**3 - 5/2*t.
-(t + 1)**2*(t + 2)/2
Let w(k) be the second derivative of -k**6/900 - k**5/150 - 7*k**3/2 - 28*k. Let q(j) be the second derivative of w(j). Solve q(h) = 0 for h.
-2, 0
Suppose -3*p - 3*l = 2 + 7, 2*l = p - 12. Determine n, given that 198 - 223 - 2*n**2 + 7*n**p + 20*n = 0.
-5, 1
Suppose -25*c + 38*c - 26 = 0. What is p in -2/3*p**c + 2*p**4 - 4/3 + 14/3*p - 14/3*p**3 = 0?
-1, 1/3, 1, 2
Let h(g) be the second derivative of 0*g**4 + 1/21*g**3 + 12*g + 0 - 1/70*g**5 + 0*g**2. Factor h(r).
-2*r*(r - 1)*(r + 1)/7
Let c = -1 - -5. Factor 23*k**2 - 2*k**5 + 3*k**c - 20*k**3 + 2 - 13*k - 3*k**2 + 7*k**4 + 3*k.
-2*(k - 1)**5
Let t(m) = -m**2 + 2*m**3 - 3*m**3 + 124*m - 124*m. Let n(k) = 198*k**3 + 310*k**2 + 128*k + 16. Let h(s) = -n(s) - 2*t(s). Determine g, given that h(g) = 0.
-1, -2/7
Let b be 143/(-7) + -126 + 147. Let -2/7*w**4 - b*w - 6/7*w**3 + 0 + 2/7*w**5 + 10/7*w**2 = 0. What is w?
-2, 0, 1
Determine h, given that 4*h**2 - 1346 + 12*h**2 - 27*h**2 - 2016 + 164*h + 9*h**2 = 0.
41
Let p(i) = -32*i - 18*i**2 - 21*i**2 + 250 + 40*i**2. Let c(m) = -2*m**2 + 64*m - 502. Let y(g) = -3*c(g) - 5*p(g). Factor y(k).
(k - 16)**2
Let i(a) = -8*a**2 + 7*a - 7. Let s(t) = t**2 - t. Let b(x) = -x**2 - 6. Let q(r) = -b(r) + 6*s(r). Let p(w) = 6*i(w) + 7*q(w). Factor p(n).
n**2
Let z = 105 - 97. Let b(p) be the third derivative of 1/18*p**3 + 1/1008*p**z + 0 + 1/72*p**4 + 0*p - 1/90*p**5 - 4*p**2 - 1/180*p**6 + 1/630*p**7. Factor b(k).
(k - 1)**2*(k + 1)**3/3
Let q be 2/(-10)*(-5)/4. Let y(n) = -n**3 - 13*n**2 - n - 9. Let p be y(-13). Factor 1/4*t**5 + 0 + 0*t + 0*t**3 + 0*t**2 + q*t**p.
t**4*(t + 1)/4
Let i be ((26/(-78))/(1/2))/((-10)/30). Find z such that 0 + z**i - z**4 + 4/3*z**5 - 5/3*z**3 + 1/3*z = 0.
-1, -1/4, 0, 1
Suppose 7*a - 5*a + 8 + a**2 + a**2 - a**2 - 9*a**2 - 2*a**3 = 0. What is a?
-4, -1, 1
Let r be -2 - ((-146 - 0) + 2). Suppose r*n - 18 = 133*n. Solve 9/7 + 120/7*s**n - 69/7*s + 48/7*s**3 = 0 for s.
-3, 1/4
Suppose -3*m**2 + 6*m**2 - 7*m**2 + 0*m**2 + 2 + 2*m**2 = 0. What is m?
-1, 1
Let x(w) be the third derivative of -250/3*w**3 - 1/4*w**5 + 0*w + 9*w**2 + 25/4*w**4 + 1/240*w**6 + 0. Suppose x(r) = 0. What is r?
10
Let l(z) be the first derivative of 19 + 28*z + 12*z**2 - 4/3*z**3. Let l(f) = 0. Calculate f.
-1, 7
Let r be (4 - 6) + (-5)/(-2). Let h be 21/(-77) - 50/(-22). Determine l, given that r*l**4 - h*l + 3*l**2 + 1/2 - 2*l**3 = 0.
1
Factor -2535 + 173*y**2 - 537*y - 318*y**2 - 5*y**3 - 698*y.
-5*(y + 3)*(y + 13)**2
Suppose -11*n - 18 = -84. Let y(k) be the third derivative of -3*k**2 + 1/80*k**n + 0 - 1/36*k**4 + 0*k**3 + 0*k + 2/45*k**5. Suppose y(r) = 0. Calculate r.
-2, 0, 2/9
Let d(b) be the second derivative of 1/6*b**6 + 0 - 25/12*b**4 + 5*b + 0*b**2 + 5/2*b**3 + 1/4*b**5. Determine g so that d(g) = 0.
-3, 0, 1
Suppose 4*i - 25 = -17. Factor -3*r**3 + 5*r**3 + 32*r**2 + 4*r**3 + 64*r - i*r**3.
4*r*(r + 4)**2
Factor -4*o**2 - 1693*o - 6 + 0 + 1683*o.
-2*(o + 1)*(2*o + 3)
Let f be (-299)/(-26) + (-3)/2. What is p in p**3 - f*p + 12*p - p**3 - 4*p**2 + 4*p**4 - 2*p**5 = 0?
-1, 0, 1
Factor 0 - 3*s**4 + 6*s**2 + 9/2*s**3 - 3/2*s**5 - 6*s.
-3*s*(s - 1)**2*(s + 2)**2/2
Let t(i) = -i**2 - 3*i. Let a be t(-2). Factor -35*s**5 + 2*s + 6*s**3 - 5*s**a - 3*s**3 + s**4 + 34*s**5.
-s*(s - 1)**3*(s + 2)
Let s(n) be the first derivative of -5*n**6/6 - 6*n**5 - 15*n**4 - 40*n**3/3 + 254. Factor s(c).
-5*c**2*(c + 2)**3
Let s(g) be the third derivative of -3*g**6/10 - 16*g**5/5 - 85*g**4/6 - 100*g**3/3 - 255*g**2. Factor s(w).
-4*(w + 2)*(3*w + 5)**2
Let m(y) be the first derivative of -y**5/55 - 5*y**4/44 - y**3/11 + 5*y**2/22 + 4*y/11 + 7. Factor m(f).
-(f - 1)*(f + 1)**2*(f + 4)/11
Let k(g) be the first derivative of 0*g - 11 + 8*g**5 + 95/3*g**3 + 125/4*g**4 + 5*g**2. Suppose k(a) = 0. What is a?
-2, -1, -1/8, 0
Let g(v) = v**2 + 3*v - 4. Let o be g(-5). Let w(d) be the third derivative of 0 + 1/36*d**4 - 1/180*d**5 - 1/18*d**3 - o