irst derivative of -1/6*f**2 + 1 - 1/18*f**6 - 1/3*f + 1/6*f**4 + 2/9*f**3 - 1/15*f**t. Suppose n(i) = 0. What is i?
-1, 1
Let t(i) be the second derivative of -i**4/72 + 11*i**3/36 - 17*i - 4. What is z in t(z) = 0?
0, 11
Let o be 0/(-3) + -4 - -11. Solve -2*y**2 - 3*y**2 - 3*y - y + o*y**2 = 0 for y.
0, 2
Factor -15/4*r**2 + 65/4*r + 75/4 - 5/4*r**3.
-5*(r - 3)*(r + 1)*(r + 5)/4
Let s(u) = -9*u**2 + 270*u - 6906. Let m(v) = v**2 + 3*v - 1. Let i(j) = 6*m(j) + s(j). Factor i(z).
-3*(z - 48)**2
Let q(a) be the first derivative of -a**6/1260 - a**5/420 + a**4/14 - 4*a**3 + 23. Let l(n) be the third derivative of q(n). Suppose l(m) = 0. Calculate m.
-3, 2
Let t(u) be the first derivative of -2*u**6/21 + 2*u**4/7 - 2*u**2/7 + 8. Factor t(q).
-4*q*(q - 1)**2*(q + 1)**2/7
Let x(m) be the second derivative of -m**9/3780 + m**8/1680 + m**7/630 - m**6/180 - 2*m**4/3 - m. Let s(d) be the third derivative of x(d). Factor s(c).
-4*c*(c - 1)**2*(c + 1)
Let o(w) be the third derivative of 5*w**8/336 - w**7/105 - 95*w**2. What is x in o(x) = 0?
0, 2/5
Let y(o) be the third derivative of o**7/210 + o**6/40 + o**5/20 + o**4/24 + 630*o**2. Determine c, given that y(c) = 0.
-1, 0
Let s(m) be the second derivative of 1/42*m**4 + 4/7*m**2 - 4/21*m**3 - 14*m + 0. Factor s(w).
2*(w - 2)**2/7
Let o(m) = -m**3 + 4*m**2 + 16 + 2*m**3 + 5*m**2 + m - 4. Let y be o(-9). Suppose 52*x**2 + 7*x**3 - 4*x - 52*x**2 - 3*x**y = 0. Calculate x.
-1, 0, 1
Let z(c) be the first derivative of -49*c**4 - 1316*c**3/3 + 194*c**2 - 28*c + 20. Factor z(j).
-4*(j + 7)*(7*j - 1)**2
Let v(x) be the first derivative of 9*x**5/5 + 87*x**4/2 - 107*x**3 - 63*x**2 + 503. Factor v(c).
3*c*(c - 2)*(c + 21)*(3*c + 1)
Let c(q) = -6*q**4 - 4*q**3 - 2*q**2. Suppose 3*r - 11 = 1. Let d(i) = -20*i**3 + 19*i**3 - 2*i**5 + i**5. Let o(y) = r*d(y) + 2*c(y). Solve o(l) = 0 for l.
-1, 0
Suppose -3*i + 6*a - 5*a = -11, 0 = -5*a - 25. Let x(p) be the first derivative of 0*p + 1/3*p**3 + 7 + 0*p**i. Factor x(f).
f**2
Find n such that 1/2 + 3/2*n - 1/2*n**5 - n**3 - 3/2*n**4 + n**2 = 0.
-1, 1
Let m = 521/1034 - 2/517. Factor -t**3 + 0 - m*t**5 + 0*t - 1/4*t**2 - 5/4*t**4.
-t**2*(t + 1)**2*(2*t + 1)/4
Factor -34*z - 4*z**2 + 16*z + 14*z + 4 + 4*z**3.
4*(z - 1)**2*(z + 1)
Let m be 12/((-12)/(-7)) + -5. Let d(f) be the second derivative of 0*f**3 + 5*f + 2/15*f**6 + 1/21*f**4 + 0 + 2/49*f**7 + 1/7*f**5 + 0*f**m. Factor d(i).
4*i**2*(i + 1)**2*(3*i + 1)/7
Let m be (120/(-18) - -6)/(24/(-54)). Factor 1 + 1/2*g**2 - m*g.
(g - 2)*(g - 1)/2
Factor 0 - 5/3*v**4 + 0*v + 10*v**3 - 25/3*v**2.
-5*v**2*(v - 5)*(v - 1)/3
Let g(z) = z**3 - z**2 - z. Let o(y) = -3*y**5 + 48*y**4 - 217*y**3 + 163*y**2 + 436*y. Let j(d) = -5*g(d) + o(d). What is k in j(k) = 0?
-1, 0, 3, 7
Let z(a) be the third derivative of a**5/12 - 25*a**4/8 - 40*a**3/3 - 2*a**2 - 5. Suppose z(m) = 0. What is m?
-1, 16
Let m(t) = t + 16. Let w be m(-10). Suppose 6 + 6 = w*p. Let -1/6*q**4 + 0 - 1/2*q**3 - 1/6*q - 1/2*q**p = 0. Calculate q.
-1, 0
Let c(o) be the first derivative of -o**3/24 + 17*o**2/4 - 289*o/2 - 254. Factor c(s).
-(s - 34)**2/8
Suppose 3*c = r + 2, 4*r + 23 = 2*c - 5*c. Let u be 1 + (c - 1) - -3. Determine g so that g**3 - g + 0*g**u + g**2 + g = 0.
-1, 0
Let u(l) = -l**3 - 7*l**2 - 7*l - 6. Suppose -11*c - 19 - 47 = 0. Let k be u(c). Let 3/4*r**2 + 3/2*r + k = 0. Calculate r.
-2, 0
Suppose 22*l + 42 = 15*l. Let s(z) = -8*z + 2. Let b(h) = -h**2 + 15*h - 5. Suppose -4*x = -x + 39. Let k(t) = l*b(t) + x*s(t). Factor k(m).
2*(m + 2)*(3*m + 1)
Let k = 302043/55 + -5492. Let i = 10/11 + k. Factor 6/5*f**3 - 3/5*f**4 - i*f + 6/5*f**2 - 3/5*f**5 - 3/5.
-3*(f - 1)**2*(f + 1)**3/5
Let z(d) = d - 1. Let c(s) = -s**5 + s**3 + 2*s - 2. Suppose 0*x = -5*x - 50. Let o be (x + (-4 - -8))*1. Let v(b) = o*z(b) + 3*c(b). Factor v(t).
-3*t**3*(t - 1)*(t + 1)
Let v = 20628/72247 + 2/10321. Solve -2/7*j**2 + v*j**3 + 0 + 0*j = 0.
0, 1
Let j(m) be the second derivative of m**4/66 - 20*m**3/33 + 61*m. Factor j(q).
2*q*(q - 20)/11
Let a be (3 + (-4 - 0))/((-3)/15). Factor -6*w**2 - a + 8*w**3 + 13 + 10*w**2 - 20*w.
4*(w - 1)*(w + 2)*(2*w - 1)
Let c(j) be the third derivative of 0*j + 4*j**2 + 0*j**3 - 1/180*j**5 - 1/720*j**6 + 0*j**4 + 0. Suppose c(h) = 0. Calculate h.
-2, 0
Suppose -6 = 5*h - 2*h. Let z be 4 + ((-20)/4 - h). Factor 5 - 3*r**3 - 6*r**2 - 4 - z.
-3*r**2*(r + 2)
Let x(l) = -l**3 + 17*l**2 + 23*l - 90. Let f be x(18). Let m(o) be the first derivative of f*o + 1 + 1/3*o**3 + 0*o**2 - 1/4*o**4. Solve m(k) = 0.
0, 1
Let i be -2 + -2 - (-315)/85. Let j = i + 59/85. Determine h so that 0*h**2 + 0 + 0*h**3 + j*h**4 + 0*h = 0.
0
Let f(j) be the second derivative of 17*j + 129/140*j**5 + 0 + 73/28*j**4 + 11/70*j**6 + 24/7*j**2 + 4*j**3 + 1/98*j**7. Find l, given that f(l) = 0.
-4, -1
Let u(k) be the second derivative of k**9/52920 - 11*k**8/23520 + k**7/252 - 5*k**6/504 + k**4 + 19*k. Let n(i) be the third derivative of u(i). Factor n(c).
2*c*(c - 5)**2*(c - 1)/7
Solve -80*r + 23*r**3 - 3*r**3 - 5*r**2 + 13*r**2 - 2*r**4 = 0 for r.
-2, 0, 2, 10
Determine s, given that 218/15*s**3 - 2016/5*s**2 - 2/15*s**4 + 0 + 1944/5*s = 0.
0, 1, 54
Let x(j) = -2*j - 26. Suppose 4*p + 47 = 3*d, -4*p + p + 4*d - 30 = 0. Let z be x(p). Suppose 3/7*c**z - 12/7*c + 9/7 = 0. Calculate c.
1, 3
Let o(k) be the third derivative of 2/3*k**3 + 0 + 3/10*k**5 + 21*k**2 - 7/12*k**4 + 1/105*k**7 - 1/12*k**6 + 0*k. Factor o(s).
2*(s - 2)*(s - 1)**3
Let s(c) be the third derivative of c**5/20 + 3*c**4/8 - 2*c**3 - 6*c**2 + 3*c. Factor s(b).
3*(b - 1)*(b + 4)
Suppose -44*l = -39*l. Let y be l - ((-10)/(-3))/(-10). Solve 1/2*n**3 + 7/6*n**2 + 0 + y*n = 0.
-2, -1/3, 0
Let r(x) be the second derivative of 5*x - 2/21*x**3 + 1/105*x**6 - 1/42*x**4 + 0 + 0*x**2 + 1/35*x**5. Factor r(f).
2*f*(f - 1)*(f + 1)*(f + 2)/7
Factor -8*t - 2*t**4 + 5*t**4 - 8*t - 36*t**3 - 3*t**5 + t**5 + 40*t**2 + 11*t**4.
-2*t*(t - 2)**3*(t - 1)
Let j(m) be the first derivative of 4/9*m**4 - 19 + 0*m - 2/45*m**5 - 40/27*m**3 + 16/9*m**2. Determine o, given that j(o) = 0.
0, 2, 4
Factor -8*x - 28*x - 34*x - 17*x - 3*x**2 - 162.
-3*(x + 2)*(x + 27)
Suppose 0*c + c - 26 = 0. Let n be (-3 - (-168)/c) + -3. Suppose -2/13*t**4 + 0*t**2 - 8/13*t + 0 + n*t**3 = 0. Calculate t.
-1, 0, 2
Let f be -17 + (-3)/(-6)*-2. Let y = 35 + f. Find q such that 9*q**2 - 2*q + 8*q**2 + 2*q**3 - y*q**2 = 0.
-1, 0, 1
Let a(s) = s**2 + 11*s - 22. Let j be a(-13). Factor -8 - o**4 + 2*o**5 - 3*o**5 - 11*o**3 + 2*o**2 + 4*o**j + 3*o**4 + 12*o.
-(o - 2)**3*(o - 1)*(o + 1)
Let n(q) be the first derivative of q**5/20 - 5*q**4/16 + q**3/2 + q**2/2 - 2*q - 93. Factor n(b).
(b - 2)**3*(b + 1)/4
Let w(i) be the third derivative of i**5/300 - 13*i**4/120 + 19*i**2. Determine n, given that w(n) = 0.
0, 13
Let q = -161 - -3223/20. Let m(s) be the second derivative of 3*s**2 + 5/2*s**3 + s**4 + 0 + q*s**5 + 4*s. Suppose m(x) = 0. What is x?
-2, -1
Let j be (-56)/98*14/(-4). Let -12*t**3 - j*t**5 + 4*t**4 + 5*t - 7*t + 4*t**4 + 8*t**2 = 0. What is t?
0, 1
Let u(g) be the second derivative of -g**6/285 + 2*g**5/95 - g**4/114 - 2*g**3/19 - 70*g. Let u(r) = 0. What is r?
-1, 0, 2, 3
Let z(d) be the second derivative of -d**4/66 + 8*d**3/11 - 144*d**2/11 - 132*d. Determine t, given that z(t) = 0.
12
Let 20*l**3 - 507 + 103*l**2 - 4*l**4 - 19*l**2 + 539 + 92*l = 0. What is l?
-1, 8
Suppose -5 = -5*b, 3*d + 25 = 4*d + 3*b. Let w be 1 - (-2 - -3 - 16/d). Solve 10/11*x**4 + 0 + w*x**2 - 2/11*x**5 - 16/11*x**3 + 0*x = 0.
0, 1, 2
Let h(t) be the second derivative of -t**7/1400 - 3*t**6/200 - t**5/25 - 19*t**3/3 + t**2 - 33*t - 1. Let z(d) be the second derivative of h(d). Factor z(u).
-3*u*(u + 1)*(u + 8)/5
Let x(k) be the first derivative of k**6/18 + 2*k**5/3 + 13*k**4/12 - 20*k**3/3 + 6*k**2 + 142. Factor x(b).
b*(b - 1)**2*(b + 6)**2/3
Let k(r) = -4*r**5 + 10*r**4 + r**3 - 8*r**2 - 7*r + 3. Let b(h) = -h**5 + h**4 + h**2 - h - 1. Let f(d) = -10*b(d) + 2*k(d). Suppose f(o) = 0. Calculate o.
-4, -2, -1, 1
Suppose 8 = -h + 5*h. Factor -12*k - 5*k**2 + 2*k**h - 9*k.
-3*k*(k + 7)
Let u(j) = 2*j**2 - 6*j - 3. Let m be u(4). Suppose p - m*i - 2 = -3*i, 5*i = p - 5. Factor p + 3/7*b - 12/7*b**2.
-3*b*(4*b - 1)/7
Let j(o) be the third derivative of o**8/168 - 4*o**7/105 + o